Variable means that it

‘6y’ means

Radha is ‘x’ years of age now. 4 years ago, her age was

The number of days in ‘w’ weeks is

The value of ‘x’ in the circle is

‘6y’ means

Radha is ‘x’ years of age now. 4 years ago, her age was

The number of days in ‘w’ weeks is

6 less to ‘n’ gives 8 is represented as

The value of ‘c’ for which \(\frac{3c}{4}\) gives 18 is

Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.
a pattern of letter C as 
(i)

(ii)

Express the following verbal statement to algebraic statement.
‘t’ is added to 100.

Express the following verbal statement to algebraic statement.
4 times ‘q’.

Express the following verbal statement to algebraic statement.
8 reduced by ‘y’.

Express the following verbal statement to algebraic statement.
56 added to 2 times ‘x’.

Express the following verbal statement to algebraic statement.
4 less to 9 times of ‘y’.

The teacher asked two students to write the algebraic statement for the verbal statement “8 more than a number”. Vetri wrote ‘8 + x’ but Maran wrote ‘8x’. Who gave the correct answer?

Answer the following questions.
If ‘n’ takes the value 3 then find the value of ‘n + 10’?

Answer the following questions.
If ‘g’ is equal to 300 what is the value of ‘g − 1’ and ‘g + 1’?

Answer the following questions.
What is the value of ‘s’, if '2s - 6' gives 30?

Draw the next two patterns and complete the table.

The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?

Arivazhagan is 30 years younger to his father. Write Arivazhagan's age in terms of his father's age.

If ‘u’ is an even number, how would you represent
(i) the next even number?
(ii) the previous even number?

Athiyan and Mugilan are brothers. Athiyan is ‘p’ years old and Mugilan is elder to Athiyan by 6 years. Write an algebraic statement for this and find the age of Mugilan if Athiyan is 20 years old.

Express the following algebraic statement to verbal statement.
x ÷ 3

Express the following algebraic statement to verbal statement.
5n − 12

Express the following algebraic statement to verbal statement.
11 + 10x

Express the following algebraic statement to verbal statement.
70s

Gopal is 8 years younger to Karnan. If the sum of their ages is 30, how old is Karnan?

Suppose that there are some eggs in a tray. If 6 eggs are taken out from it and still 10 eggs are remaining, how many eggs are there in the tray?

Complete the table and find the value of ‘k’ for which \(\frac{'k'}{3}\) gives 5.

Complete the following pattern.
9 − 1 =
98 − 21 =
987 − 32 =
9876 − 432 =
98765 − 54321 =
What comes next?

A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as
(i) an equilateral triangle
(ii) a square

Identify the value of the shapes and figures in the table given below and verify their addition horizontally and vertically.

Complete the table and find the value of ‘k’ for which \(\frac{'k'}{3}\) gives 5.

Complete the following pattern.
9 − 1 =
98 − 21 =
987 − 32 =
9876 − 432 =
98765 − 54321 =
What comes next?

The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament.

Find the value of all the variables in the table given above.

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many small size squares are there in each of the rectangles P, Q, R and S?
(ii) Fill in the boxes.

Find the variables from the clues given below and solve the cross−word puzzle.

The ratio of Rs. 1 to 20 paise is __________.

The ratio of 1m to 50 cm is __________.

The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is ____________.

The ratio of the number of sides of a triangle to the number of sides of a rectangle is

If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son is

An equivalent ratio of 4 : 7 is

If 7 : 5 is in proportion to x : 25, then ‘x’ is

If 8 oranges cost Rs. 56, then the cost of 5 oranges is Rs. ___________.

If a man walks 2 k.m. in 15 minutes, then he will walk ___________ k.m. in 45 minutes.

Which of the following fractions is not a proper fraction?

Find the simplified form of the following ratios 32 : 24

Find the simplified form of the following ratios 12 : 27

Simplify the ratio 20 : 5

From your school diary, write the ratio of the number of holidays to the number of working days in the current academic year.

Malarkodi has 10 oranges. If she ate 4 oranges, what fraction of oranges she was not eaten by her?

Find the ratio of 500 g to 250 g

Give two equivalent ratios for each of the following 1 : 6

Arrange these fractions from the least to the greatest: \(\frac { 1 }{ 2 } ,\frac { 1 }{ 4 } ,\frac { 6 }{ 8 } ,\frac { 1 }{ 8 } \)

Joseph has a flower garden, Draw a picture which shows that \(\frac { 2 }{ 10 } \) th of the flowers are red and the rest of them are yellow.

After sowing seeds on day one, Muthu observes the plants growth and records it. In 10 days, if the first plant grew \(\frac { 1 }{ 4 } \) th of an inch and the second plant grew \(\frac { 3 }{ 8 } \)th of an inch, then which plant grew more?

The cost of parking a bicycle is Rs. 5 and the cost of parking a scooter is Rs. 15. Find the simplest ratio of the parking cost of a bicycle to that of a scooter.

Kumaran has Rs. 600 and wants to divide it between Vimala and Yazhini in the ratio 2 : 3. Who will get more and how much?

Divide the numbers given below in the required ratio. 40 in the ratio 6 : 14

Find whether 12, 24, 18, 36 in that order can be expressed as two ratios that are in proportion.

Cholan walks 6 km in 1 hour at constant speed. Find the distance covered by him in 20 minutes at the same speed.

Out of 50 students in a class, 30 are boys. Find the ratio of
(i) number of boys to the number of girls.
(ii) number of girls to the total number of students.
(iii) number of boys to the total number of students.

Which of the two ratios is larger? 4 : 5 or 8 : 15

Which of the two ratios is larger? 1 : 2 or 2 : 1

A heater uses 3 units of electricity in 40 minutes. How many units does it consume in 2 hours?

A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators.

A line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.

The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model in proportion to the original bridge?

You purchase 6 apples for Rs. 90 and your friend purchases 5 apples for Rs. 70. Whose purchase is better?

I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to anyone of the other colours?

The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.

(a) If one cup of ragi flour is used then, what would be the amount of raw rice required?
(b) If 16 cups of water is used, then how much of ragi flour should be used?
(c) Which of these ingredients cannot be expressed as a ratio? Why?

In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is Rs. 4000, then what will be the amount spent for (i) Provisions and (ii) Vegetables?

A picture is resized in a computer as shown below.

Do you observe any change in the shape and size of the picture? Check whether the ratios formed by its length and breadth are in proportion by cross product method.

Karmegan made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)

Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumalgal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then
(a) Which is the most likely ball that you can choose from the bag?
(b) How many balls in total are there in the bag if you have 40 black balls in it?
(c) Find the number of green and yellow balls in the bag.

The number of line segments in is 

A line is denoted as

In this Figure, which is not the correct way of naming an angle?

In this Figure, ∠AYZ = 45°. If point ‘A’ is shifted to point ‘B’ along the ray, then the measure of ∠BYZ is ___________
.

A set of collinear points in the figure are _________.

The number of line segments in is 

A line is denoted as

In this Figure, which is not the correct way of naming an angle?

A set of non-collinear points in the figure are _________.

A point of concurrency in the figure is _________.

Name the vertex and sides that form each angle.
(i)

vertex ________
sides ________
(ii) 

vertex ________
sides ________

Draw and label each of the angles.
(i) \(\angle \mathrm{NAS}=90^{\circ}\)
(ii) \(\angle \mathrm{BIG}=35^{\circ}\)
(iii)\(\angle \mathrm{SMC}=145^{\circ}\)
(iv) \(\angle \mathrm{ABC}=180^{\circ}\)

Find the supplementary / complementary angles in each case.
(i)

(ii)

(iii) 

(iv)

Draw any 3 lines to have a point of concurrency.

Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

Identify the types of angles shown by the hands of the given clock.
(i)

(ii)

(iii)

(iv) 

(v)

Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

Measure the angles of the given figures using protractor and identify the type of angle as acute, obtuse, right or straight

Measure the angles of the given figures using protractor and identify the type of angle as acute, obtuse, right or straight

Two complementary angles are in ratio 7:2. Find the angles.

Construct a line segment using ruler and compass AB = 7.5 cm

Construct a line segment using ruler and compass QR = 10 cm

From the given figure, name the
(i) parallel lines
(ii) intersecting lines
(iii) points of intersection.

Draw the following angles using the protractor.
45º

Draw the following angles using the protractor.
65º

Construct a line segment using ruler and compass CD = 3.6 cm

From the given figure
(i) identify the parallel lines
(ii) identify the intersecting lines
(iii) name the points of intersection.

Draw any line and mark any 4 points that are not collinear.

Draw the following angles using the protractor.
135º

From the figure name a pair of
(i) name a pair of complementary angles
(ii) name a pair of supplementary angles

Use any number of the given dots to make different angles.

Pick out the Obtuse angles from the given figures.

Find the parallel and intersecting line segments in the picture given below.

From the figures given below, classify the following pairs of angles into complementary and non complementary

With the help of a ruler and compass, draw a line segment PQ = 5.5cm

Pick out the Acute angles from the given figures.

Name the following angles as shown in the figure.

(i) ∠1 =
(ii) ∠2 =
(iii) ∠3 =
(iv) ∠1 + ∠2 =
(v) ∠2 + ∠3 =
(vi) ∠1 + ∠2 + ∠3 =

From the figures given below, classify the following pairs of angles into supplementary and non supplementary

Use a Protractor to draw an angle 90º.

Use a protractor to draw an obtuse angle 120°.

The tally marks for the number 7 in standard form is_____________.

The tally marks represents the number count

The plural form of ‘datum’ is

The pictorial representation for a phrase is a__________.

The representation of ‘one picture to many objects’ in a Pictograph is called__________.

The pictorial representation for a phrase is a__________.

The representation of ‘one picture to many objects’ in a Pictograph is called__________.

A Pictograph is also known as____________.

A bar graph cannot be drawn using_____________.

The spaces between any two bars in a bar graph___________.

Draw a pictograph for the given data.

(Choose your own suitable scale)

The following table shows the number of tourists who visited the places in the month of May. Draw a pictograph.

(Choose your own suitable scale)

Chitra has to buy Laddus in order to distribute to her friends as follows:

Draw a Bar Graph for this data.

The fruits liked by the students of a class are as follows. Draw a Bar Graph for this data.

The table shows the number of moons that orbit each of the planets in our solar system.

Make a Bar graph for the above data.

The following are the marks obtained by 30 students in a class test out of 20 in Mathematics subject.
11 12 13 12 12 15 16 17 18 12
20 13 13 14 14 14 15 15 15 15
16 16 16 15 14 13 12 11 19 17
Prepare a table using Tally Marks.

The following table shows the number of vehicles sold in a year

key: One picture represents 10 vehicles
Look at the pictograph and answer the following questions.
(i) How many motor cycles were sold in a year?
(ii) Number of buses sold in a year is 20. Say True or False.
(iii) How many bicycles were sold?
(iv) How many cars and vans were sold?
(v) How many vehicles were sold altogether?

The following Pictograph shows the number of students playing different games in a school.

 Represents 10 students.
Answer the following questions.
(i) Which is the most popular game among the students?
(ii) Find the number of students playing Kabaddi.
(iii) Which two games are played by equal number of students?
(iv) What is the difference between the number of students playing Kho-Kho and Hockey?
(v) Which is the least popular game among the students?

Read the given Bar Graph which shows the percentage of marks obtained by Brinda in different subjects in an assessment test.

Observe the Bar Graph and answer the following questions.
(i) 1 Unit = __________ % of marks on vertical line.
(ii) Brinda has scored maximum marks in __________ subject.
(iii) Brinda has scored minimum marks in __________ subject.
(iv) The percentage of marks scored by Brinda in Science is __________.
(v) Brinda scored 60% marks in the subject __________.
(vi) Brinda scored 20% more in __________ subject than __________ subject.

The prediction of Weather in the month of September is given below.

(i) Make a frequency table of the types of weather by reading the calendar.
(ii) How many days are either cloudy or partly cloudy?
(iii) How many days do not have rain? Give two ways to find the answer?
(iv) Find the ratio of the number of Sunny days to Rainy days.

The table shows the number of calls recorded by a Fire Service Station in one year.

Complete the table and answer the following questions.
(i) Which type of call was recorded the most?
(ii) Which type of call was recorded the least?
(iii) How many calls were recorded in all?
(iv) How many calls were recorded as False Alarms?

Study the above Bar graph and answer the following questions.
(i) Which activity is followed by maximum number of students?
(ii) How many students in all, spend their time on solving puzzles?
(iii) The total number of students who follow either reading stories or reading their subjects is__________.
(iv) The activity followed by minimum number of students is__________.
(v) The number of students who took part in reading comics is_______________.

The following pictograph shows the total savings of a group of friends in a year. Each picture represents a saving of Rs.100. Answer the following questions.


(i) What is the ratio of Ruby’s saving to that of Thasnim’s?
(ii) What is the ratio of Kuzhali’s savings to that of others?
(iii) How much is Iniya’s savings?
(iv) Find the total amount of savings of all the friends?
(v) Ruby and Kuzhali save the same amount. Say True or False.

26 students were interviewed to find out what they want to become in future. Their responses are given in the following table.

Represent this data using Pictograph.

The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.

Draw the bar graph showing the same information.

Suppose, you have two shorts, one is black and the other one is blue; three shirts which are in white, blue and red. You again wish to make different combinations, but you always want to make sure that the shorts and shirt that you wear are of different colours. List and check how many combinations are possible now.

How many triangles are there in the given figures?

How many triangles are there in the given figures?

How many Triangles are there in each of the following figures?

Find the number of dots in the tenth figure of the following patterns.

In the following magic triangle, arrange the numbers from 1 to 6, so that you get the same sum on all its sides.

Using the numbers from 1 to 9
(i) Can you form a magic triangle?
(ii) How many magic triangles can be formed?
(iii) What are the sums of the sides of the magic triangle?

Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

Put the numbers 1, 2, 3, 4, 5, 6, & 7 in the circles so that each straight line of three numbers add up to the same total.

Place the number 1 to 12 in the 12 circles so that the sum of the numbers in each of the six lines of the star is 26. Use each number from 1 to 12 exactly once. Find more possible ways?

(i) Draw the next pattern.
(ii) Prepare a table for the number of dots used for each pattern.
(iii) Explain the pattern.
(iv) Find the number of dots in the 25^th pattern.

Count the number of squares in each of the following figures?

Count the number of squares in each of the following figures?

Find the minimum number of straight lines used in forming the following figures.

Find the minimum number of straight lines used in forming the following figures.

The difference between two successive odd numbers is

The only even prime number is

Which of the following numbers is not a prime?

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is

The number 87846 is divisible by

Which of the following pairs is co-prime?

The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is

Which of the following cannot be the HCF of two numbers whose LCM is 120?

Express 31 and 55 as the sum of any three odd primes.

Write the smallest and the biggest three digit composite number.

The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100.

In an apartment consisting of 108 floors, two lifts A & B starting from the ground floor, stop at every 3^rd and 5^th floors respectively. On which floors, will both of them stop together?

Explain your answer with reason for the following statements
A number is divisible by 6, if it is divisible by 12.

The sum of any three odd natural numbers is odd. Justify this statement with an example.

The traffic lights at three different road junctions change after every 40 seconds, 60 seconds and 72 seconds respectively. If they changed simultaneously together at 8 a.m at the junctions, at what time will they simultaneously change together again?

The sum of three prime numbers is 80. The difference of two of them is 4. Find the numbers.

Malarvizhi, Karthiga and Anjali are friends and natives of the same village. They work at different places. Malarvizhi comes to her home once in 5 days. Similarly, Karthiga and Anjali come to their homes once in 6 days and 10 days respectively. Assuming that they met each other on the 1^st of October, when will all the three meet again?

Explain your answer with reason for the following statements
A number is divisible by 9, if it is divisible by 3.

Find the HCF of the numbers 40 and 56 by division method.

A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

The product of 2 two digit numbers is 300 and their HCF is 5. What are the numbers?

Wilson, Mathan and Guna can complete one round of a circular track in 10, 15 and 20 minutes respectively. If they start together at 7 a.m from the starting point, at what time will they meet together again at the starting point?

The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

Find the ratio of the HCF and the LCM of the numbers 18 and 30.

What is the smallest 5 digit number that is exactly divisible by 72 and 108?

Find whether the number 564872 is divisible by 88.
(use of the test of divisibility rule for 8 and 11 will help!)

Numbers divisible by 4 and 6 are divisible by 24. Verify this statement and support your answer with an example

9 m 4 cm is equal to ____________

1006 g is equal to _________

Every day 150 l of water is sprayed in the garden. Water sprayed in a week is ____________

Which is the greatest? 0.007 g, 70 mg, 0.07 cg

7 km – 4200 m is equal to ____________

2 days = ____________ hours.

3 weeks = ___________ days

Number of ordinary years between two consecutive leap years is _______________

What time will it be 5 hours after 22:35 hours?

2 ½ years is equal to ______________ months.

The average rainfall of Tamilnadu is 998 mm. convert it into cm.

Janaki bought 650 mg of a tablet. What is its weight in gram?

A calf drinks 5.750 l of water, convert into ml

The duration of electricity consumed by the farmer for his pumpset on Monday and Tuesday was 7 hours 20 minutes 35 seconds and 3 hours 44 minutes 50 seconds respectively. Find the total duration of consumption of electricity.

Calculate the duration of time from 17:00 hours to 5:15 hours

A flag pole is 5 m 35 cm long. What is the length of the flag pole in cm?

Murali has a bag that weighs 3 kg and 450 g. What is its weight in gram?

Calculate the duration of time
(i) from 5.30 a.m to 12.40 p.m
(ii) from 1.30 p.m to 10.25 p.m
(iii) from 20:00 hours to 4:00 hours
(iv) from 17:00 hours to 5:15 hours

A clock gains 3 minutes every hour. If the clock is set correctly at 5 a.m, find the time shown by the clock at 7 p.m?

Observe and Collect the data for a minute:

Convert into higher units :
(i) 13000 mm (km, m, cm)
(ii) 8257 ml (kl, l)

Thenmozhi’s height is 1.25 m now. She grows 5 cm every year. What would be her height after 6 years?

Maran walks 1.5 km every day to reach the school while Mahizhan walks 1400 m. Who walks more distance and by how much?

Mala's date of birth is 20-11-1999. What is her age on 05-10-2018?

Convert the following:
(i) 20 minutes into seconds
(ii) 5 hours 35 minutes 40 seconds into seconds
(iii) 3 ½ hours into minutes
(iv) 580 minutes into hours
(v) 25200 seconds into hours

Convert into indicated units: 
(i) 10 l and 50 ml into ml
(ii) 4 km and 300 m into m
(iii) 300 mg into g

Convert into lower units: 
(i) 15 km (m, cm, mm)
(ii) 12 kg (g, mg)

Geetha brought 2 l and 250 ml of water in a bottle. Her friend drank 300 ml from it. How much of water is remaining in the bottle?

In a JRC one day camp, 150 gm of rice and 15 ml oil are needed for a student. If there are 40 students to attend the camp how much of rice and oil are needed?

Say the time in two ways:

Pari bought a Motor cycle for Rs. 55,000 and he gained Rs. 5500 on selling the same. What is the selling price of the motor cycle?

A man bought 75 Mangoes for Rs. 300 and sold 50 Mangoes for Rs. 300. If he sold all the mangoes at the same price, find his profit or loss.

Mangai bought a cell phone for Rs. 12585. It fell down. She spent Rs. 500 on its repair. She sold it for Rs. 7500. Find her profit or loss.

A man bought 400 metre of cloth for Rs. 60,000 and sold it at the rate of Rs. 400 per metre. Find his profit or loss.

An electrician buys a used T.V. for Rs. 12,000 and a used Fridge for Rs. 11,000. After spending Rs. 1000 on repairing the T.V. and Rs. 1500 on painting the Fridge, he fixes up the M.P. of T.V. as Rs. 15,000 and that of Fridge as Rs. 15,500. If he gives Rs. 1000 discount on each find his profit or loss.

Manimegalai purchased a house for Rs. 25,52,500 and spent Rs. 2,28,350 for its repair. She sold it for Rs. 30,52,000. Find her gain or loss.

A fruit seller bought a dozen apples for Rs. 84. 2 apples got rotten. If he has to get a profit of Rs. 16, find the S.P. of each apple.

A shopkeeper buys three articles for Rs. 325, Rs. 450 and Rs. 510. He is able to sell them for Rs. 350, Rs. 425 and Rs. 525 respectively. Find the gain or loss to the shopkeeper on the whole.

Nathan paid Rs. 800 and bought 10 bottles of honey from a village vendor. He sold them in a city for Rs. 100 per bottle. Find his profit or loss.

A vegetable vendor buys 10 kg of tomatoes per day at Rs. 10 per kg, for the first three days of a week. 1 kg of tomatoes got smashed on everyday for those 3 days. For the remaining 4 days of the week he buys 15 kg of tomatoes daily at Rs. 8 per kg. If for entire week he sells tomatoes at Rs. 20 per kg, then find his profit or loss for the week.

Raghu buys a chair for Rs. 3000. He wants to sell it at a profit of Rs. 500 after making a discount of Rs. 300. What is the M.P. of the chair?

A school purchases some furniture and gets the following bill.

Questions:
(i) What is the name of the store?
(ii) What is the serial number of the bill?
(iii) What is the cost of a black board?
(iv) How many sets of benches and desks does the school buy?
(v) Verify whether the total bill amount is correct.

Fill up the appropriate boxes in the following table.

Rani bought a set of bangles for Rs. 310. Her neighbour liked it most. So, Rani sold it to her for Rs. 325. Find the profit or loss to Rani.

Muthu has a car worth Rs. 8,50,000 and he wants to sell it at a profit of Rs. 25,000. What should be the selling price of the car?

Barathan offers his customers a discount of Rs. 50 on each shirt and still makes a profit of Rs. 100 per shirt. What is the actual cost price of the shirt that is marked @ Rs. 800?

Mani buys a gift article for Rs. 1500. He wants to sell it at a profit of Rs. 150 on sales and he marks @ Rs.1800. What is the discount that he will give to his customers?

Prepare a bill for the following books of biographies purchased from Maruthu Book Store, Chidambaram on 12.04.2018 bearing the bill number 507. 10 copies of Subramanya Bharathiar @ Rs. 55 each, 15 copies of Thiruvalluvar @ Rs. 75 each, 12 copies of Veeramamunivar @ Rs. 60 each and 12 copies of Thiru.Vi.Ka @ Rs. 70 each.

Fill up the appropriate boxes in the following table.

Somu bought a second hand bike for Rs. 28,000 and spent Rs. 2,000 on its repair. He sold it for Rs. 30,000. Find his profit or loss.

Ramya purchases some make-up items and gets the following bill.

Observe the bill and answer the following questions.
(i) What is the bill number?
(ii) Mention the date of the bill.
(iii) How many different items were purchased?
(iv) What is the cost of an hair clip?
(v) What is the total cost of the ribbon?

Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
1. 5 packets Milk Khoa of 100 gm @ Rs. 40 each
2. 5 packets of Butter Milk @ Rs. 8 each
3. 6 packets Milk of 500ml @ Rs. 25 each
4. 5 packets Ghee of 100gm @ Rs. 40 each

Fill up the appropriate boxes in the following table:

Wheat is being sold at Rs. 1550 per bag of 25 kg at a profit of Rs. 150. Find the cost price of the wheat bag.

Complete the following table.

The given triangle is ___________

If all angles of a triangle are less than a right angle, then it is called ______________.

If two sides of a triangle are 5 cm and 9 cm, then the third side is ______________

The angles of a right angled triangle are

An equilateral triangle is

The angles of a right angled triangle are

An equilateral triangle is

Which of the following correctly describes the given triangle?

Which of the following is not possible?

Which of the following can be the sides of an isosceles triangle?

Classify the given triangles based on its sides as scalene, isosceles or equilateral.

Classify the following triangles based on its sides and angles.

What are the angles of an isosceles right angled triangle?

The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.

Is a triangle possible with the angles 90°, 90° and 0°? Why?

In \(\Delta\)ABC, name the
a) Three sides: ______ , ______ , _______
b) Three Angles: ______ , ______ , _______
c) Three Vertices: ______ , _______ , _______

Classify the given triangles based on its angles as acute angled, right angled or obtuse angled.

I am a closed figure with each of my three angles is 60°. Who am I?

If one angle of an isosceles triangle is 124°, then find the other angles.

Which of the following statements is true? Why?
(a) Every equilateral triangle is an isosceles triangle.
(b) Every isosceles triangle is an equilateral triangle.

Can a triangle be formed with 7 cm, 10 cm and 5 cm as its sides?

Can a triangle be formed with 8 cm, 3 cm and 4 cm as its sides?

Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P.

Find the distance between the given lines using a set square at two different points on each of the pairs of lines and check whether they are parallel.

Draw a line and mark a point R below it at a distance of 5.4 cm Through R draw a line parallel to the given line.

Can a triangle be formed with 7 cm, 10 cm and 5 cm as its sides?

Can a triangle be formed with 8 cm, 3 cm and 4 cm as its sides?

Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P.

Find the distance between the given lines using a set square at two different points on each of the pairs of lines and check whether they are parallel.

Draw a line and mark a point R below it at a distance of 5.4 cm Through R draw a line parallel to the given line.

Can a triangle be formed with the following angles? If yes, name the type of triangle.
(i) 60°, 60°, 60° 
(ii) 90°, 55°, 35° 
(iii) 60°, 40°, 42°
(iv) 60°, 90°, 90°
(v) 70°, 60°, 50°
(vi) 100°, 50°, 30°

Using the given information, write the type of triangle in the table given below

Construct a line perpendicular to the given line through a point above it.

Draw a line and mark a point R at a distance of 4.8 cm above the line. Through R draw a line parallel to the given line.

Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles

Can a triangle be formed with the following sides? If yes, name the type of triangle.
(i) 8 cm, 6 cm, 4 cm
(ii) 10 cm, 8 cm, 5 cm
(iii) 6.2 cm, 1.3 cm, 3.5 cm
(iv) 6 cm, 6 cm, 4 cm
(v) 3.5 cm, 3.5 cm, 3.5 cm
(vi) 9 cm, 4 cm, 5 cm

Construct a line perpendicular to the given line at a point on the line.

Draw a line segment PQ = 12 cm. Mark two points M, N at a distance of 5 cm above the line segment PQ. Through M and N draw a line parallel to PQ.

Two sides of the triangle are given in the table. Find the third side of the triangle.

Complete the following table :

In one year, a paper company had sold 6,25,610 notebooks out of a stock of 7,50,800 notebooks. Find the number of notebooks left unsold.

If a ration shop has distributed 1,00,000 kg of rice to 5000 families, then find the quantity of rice given to each family?

Convert into a Tree diagram (10\(\times\)9) − [(8\(\times\)2) + 3]

Convert into a Tree diagram [(9−4)\(\times\)8] + [(8+2)\(\times\)3]

Convert the tree diagram into an algebraic expression.

Vani and Kala along with three other friends went to a butter milk shop. The cost of one butter milk is Rs. 6. If 9 more friends joined them, then how much money did they have to pay? Vani said they had to pay Rs. 84 whereas Kala said they had to pay Rs. 59. Who is correct?

Convert into a Tree diagram (9\(\times\)5) + (10\(\times\)12)

Convert into a Tree diagram {[(10 \(\times\) 5)+6]\(\times\)[5+(6−2)]}\(\div \)[8\(\times\)(4+2)].

Convert the Tree diagram into a numerical expression.

Write the missing numbers in the trees.

Convert the following algebraic expressions into tree diagrams.
(i) 10v
(ii) 3a−b
(iii) 5x + y
(iv) 20t \(\times\) p
(v) 2(a+b)
(vi) (x \(\times\) y) − (y \(\times\) z)
(vii) 4 x + 5y
(viii) (lm − n) \(\div \) (pq + r)

Convert Tree diagrams into Algebraic expressions.

Convert the following questions into tree diagrams:
(i) The number of people who visited a library in the last 5 months were 1210, 2100, 2550, 3160 and 3310. Draw the tree diagram of the total number of people who had used the library for the 5 months.
(ii) Ram had a bank deposit of Rs. 7,55,250 and he had withdrawn Rs. 5,34,500 for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
(iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
(iv) A company with 30 employees decided to distribute Rs. 90,000 as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?

Write the numerical expression which gives the answer 10 and also convert into tree diagram.

A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in tree diagram.

Which of the following statement is incorrect?

The difference between \(3\over7\) and \(2\over9\) is

The reciprocal of \(53\over17\) is

If \({6\over7}={A\over49}\)then the value of A is

Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

From his office, a person wants to reach his house on foot which is at a distance of \(5{3\over4}\)km. If he had walked \(2{1\over 2}km\)  how much distance still he has to walk to reach his house?

Mangai bought \(6{3\over4}\) kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

Shade the rectangle for the given pair of fractions and say which is greater among them.
(i) \(\cfrac { 1 }{ 3 } and\cfrac { 1 }{ 5 } \)

(ii) \(\cfrac { 2 }{ 5 } and\cfrac { 5 }{ 8 } \)

Arrange the fractions in ascending order.\(\cfrac { 3 }{ 5 } ,\cfrac { 9 }{ 10 } ,\cfrac { 11 }{ 15 } \)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

Sankari purchased \(2{1\over2}\) m cloth to stich a long skirt and \(1{3\over 4}m\) cloth to stitch blouse. If the cost is Rs.120 per metre then find the cost of cloth purchased by her

Which is smaller? The difference between \(2{1\over2}\ and\ 3{2\over3}\) or the sum of \(1{1\over2}\ and\ 2{1\over4}\)

The length of the staircase is 5 \(\frac{1}{2}\) m If one step is set at \(\frac{1}{4}\) m then how many steps will be there in the staircase?

Which is greater \(\cfrac { 3 }{ 8 } or\cfrac { 3 }{ 5 } ?\)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

Divide \(4{1\over2}\) by \(3{1\over2}\)

An oil tin contains \(3{3\over4}\) litres of oil of which \(2{1\over2}\) litres of oil is used. How much oil is left over?

Ravi bought a curtain of length \(15{3\over4}\)m. If he cut the curtain into small pieces each of length \(2{1\over4}\) m, then how many small curtains will he get?

Observe the following and represent the shaded parts as fraction:
(i)
 
(ii)

(iii)

(iv) 

Write the fraction of shaded part in the following:
(i) 

(ii)

(iii) 

 

An oil tin contains \(7{1\over2}\) litres of oil which is poured in \(2{1\over2}\) litres bottles How many bottles are required to fill \(7{1\over2}\) litres of oil?

Gowri purchased \(3{1\over2}\)kg of tomatoes, \(3\over4\)kg of brinjal and \(1{1\over4}\)kg of onion. What is the total weight of the vegetables she bought?

What fraction is to be subtracted from 9 \(\frac{3}{7}\)to get 3 \(\frac{1}{5}\)?

By what number should \(3{1\over16}\)be multiplied to get \(9{3\over16}\) ?

Look at the following beakers. Express the quantity of water as fractions and arrange them in ascending order

Convert mixed fractions into improper fractions and vice versa:
\(i)\ 3{7\over 18}\)
\(ii)\ {99\over7}\)
\(iii)\ {47\over6}\)
\(iv)\ 12{1\over9}\)

Divide the following :
\(i) \ {3\over7}\div4\)
\(ii)\ {4\over3}\div{5\over9}\)
\(iii)\ 4{1\over5}\div3{3\over 4}\)
\(iv)\ 9{2\over3}\div1{2\over3}\)

A painter painted \(3\over8\) of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

Look at the picture and answer the following questions:

i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ________ times the distance between School and Bus stop.

Using the given fractions \(\cfrac { 1 }{ 5 } ,\cfrac { 1 }{ 6 } ,\cfrac { 1 }{ 10 } ,\cfrac { 1 }{ 15 } ,\cfrac { 2 }{ 15 } ,\cfrac { 4 }{ 15 } ,\cfrac { 1 }{ 30 } ,\cfrac { 7 }{ 30 } \) and \(\cfrac { 9 }{ 36 } \)  fiIl in the missing  ones in the given -3 \(\times\) 3 square in such a way that the addition of fractions through rows, columns and diagonals give the same total

Answer the following:
i) Find the sum of \(1\over7\)and \(3\over9\).
ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
iii) Simplify: \(1{3\over5}+5{4\over7}\)
iv) Find the difference between \(8\over 9\)and \(2\over7\)
v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
vi) Simplify : \(7{2\over7}-3{4\over 21}\)

Multiply the following:
\(i)\ {2\over3}\times6\)
\(ii)\ 8{1\over3}\times5\)
\(iii)\ {3\over8}\times{4\over5}\)
\(iv)\ {3{5\over7}}\times1{1\over13}\)

Complete the fifth row in the Leibnitz triangle which is based on subraction.

A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

(i) Find the sum of \(5\cfrac { 4 }{ 9 } \)and \(3\cfrac { 1 }{ 6 } \)
(ii) Subtract \(7\cfrac { 1 }{ 6 } \) from \(12\cfrac { 3 }{ 8 } \)
(iii) Subtract the sum of \(6 \frac{1}{6}\) and \(3 \frac{1}{5}\) from the sum of \(9 \frac{2}{3} \text { and } 2 \frac{1}{2}\)

There are __________ positive integers from −5 to 6.

The opposite of 20 units to the left of 0 is

One unit to the right of −7 is ___________

3 units to the left of 1 is

The number which determines marking the position of any number to its opposite on a number line is

On the number line, which number is
i) 4 units to the right of −7?
ii) 5 units to the left of 3?

If 15 km east of a place is denoted as + 15 km, what is the integer that represents 15 km west of it?

Write two different reallife situations that represent the integer −3.

Identify the integers and mark on the number line that are at a distance of 8 units from −6.

Find the integers that are 4 units to the left 0 and 2 units to the right of −3.

Mark the numbers 4, −3, 6, −1 and −5 on the number line.

Find the opposite of the following numbers
i) 44
ii) −19
iii) 0
iv) −312
v) 789

From the following number lines, identify the correct and the wrong representations with reason

Construct a number line that shows the depth of 10 feet from the ground level and its opposite

Are all natural numbers integers?

Represent the following situations as integers:
i) A gain of Rs. 1000
ii) 20°C below 0°C
iii) 1990 BC (BCE)
iv) A deposit of Rs. 15847
v) 10 kg below normal weight

Find the numbers on the number line that are at a distance of 3 units in the opposite directions to −2

Compare −14 and −11

Write all the integers between the given numbers.
i) 7 and 10
ii) −5 and 4
iii) −3 and 3
iv) −5 and 0

Look at the Celsius Thermometer and answer the following questions:
i) What is the temperature that is shown in the Thermometer?
ii) Where will you mark the temperature 5^o C below 0^o C in the Thermometer?
iii) What will be the temperature, if 10^o C is reduced from the temperature shown in the Thermometer?
iv) Mark the opposite of 15^o C in the Thermometer.

Using the number line, write the integer which is 5 more than −6.

Arrange the following integers in ascending order:
−15, 0, −7, 12, 3, −5, 1, −20, 25, 18

Put the appropriate signs as <, > or = in the box.
i) −7\(\boxed\ \) 8
ii) −8 \(\boxed\ \) −7
iii) −999 \(\boxed\ \) −1000
iv) −111 \(\boxed\ \) −111
v) 0 \(\boxed\ \) −200

Arrange the following integers in descending order.
i) 14, 27, 15, −14, −9, 0, 11, −17
ii) −99, −120, 65, −46, 78, 400, −600
iii) 111, −222, 333, −444, 555, −666, 7777, −888

Is there the smallest and the largest number in the set of integers? Give reason

Complete the table using the following hints:
C1: the first non-negative integer.
C3: the opposite to the second negative integer.
C5: the additive identity in whole numbers.
C6: the successor of the integer in C2.
C8: the predecessor of the integer in C7.
C9: the opposite to the integer in C5

The following bar graph shows the profit (+) and loss (−) of a small scale company (in crores) between the years 2011 to 2017.

i) Write the integer that represents a profit or a loss for the company in 2014?
ii) Denote by an integer on the profit or loss in 2016.
iii) Denote by integers on the loss for the company in 2011 and 2012.
iv) Say True or False: The loss is minimum in 2012.
v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.

Answer the following questions from the number line given below

i) Which integer is greater : G or K ? Why ?
ii) Find the integer that represents C.
iii) How many integers are there between G and H?
iv) Find the pairs of letters which are opposite of a number.
v) Say True or False : 6 units to the left of D is −6.

Suppose in a building, there are 2 basement floors. If the ground floor is denoted as zero, how can we represent the basement floors?
(i) Is -15 < -26 ? why?
(ii) Which is smaller - 3 or -5 ? Why?
(iii) Which is greater 7 or -4 ? Why?
(iv) Which is the greatest negative integer?
(v) Which is the smallest positive integer?

Take two cards from a deck of playing cards and identify, which is greater between them, assuming that the joker card represents zero, black cards represent positive integers, red cards represent negative integers and the cards A, J. Q and K represent 1, 11, 12 and 13 respectively.

The following figures are of equal area. Which figure has the least perimeter?

If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will be

If every side of a rectangle is doubled, then its area becomes _____ times

The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?

The length and breadth of a rectangular sheet of a paper are 15 cm and 12 cm respectively. A rectangular piece is cut from one of its corners. Which of the following statement is correct for the remaining sheet?

Find the perimeter and the area of the square whose side is 8 cm

The area of a rectangular shaped photo is 820 sq. cm. and its width is 20 cm. What is its length? Also find its perimeter

The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side

A square of side 2 cm is joined with a rectangle of length 15 cm and breadth 10 cm. Find the perimeter of the combined shape.

(i) Find the breadth of the rectangle with perimeter 14m and length 4m
(ii) The perimeter of an isosceles triangle is 21 cm. Find the measure of equal sides given that the third side is 5 cm.

Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m.

Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet.

A square park has 40 m as its perimeter. What is the length of its side? Also find its area.

A field is in the shape of a right angled triangle whose base is 25 m and height 20 m. Find the cost of levelling the field at the rate of Rs. 45/- per sq. m².

(i) Draw a shape with perimeter 16 cm in a dot sheet
(ii) What is the perimeter of a rectangle if the length is twice its breadth ?
(iii) What would be the perimeter of a square if its side is reduced to half?
(iv) What is the perimeter of a triangle if all sides are equal in length ?

If the length of a rectangle is 12 cm and the breadth is 10 cm, then find its perimeter

Find the perimeter of a triangle whose sides are 3 cm, 4 cm and 5 cm

Find the side of a square shaped postal stamp of perimeter 8 cm.

Find the cost of fencing a square plot of side 12 m at the rate of Rs. 15 per metre

Find the area of a square of side 15 cm

The table given below contains some measures of the right angled triangle. Find the unknown values

Find the perimeter of
i) A scalene triangle with sides 7 m, 8 m, 10 m.
ii) An isosceles triangle with equal sides 10 cm each and third side is 7 cm.
iii) An equilateral triangle with side 6 cm

A piece of wire is 36 cm long. What will be the length of each side if we form
i) a square
ii) an equilateral triangle.

From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?

Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at Rs. 10 per metre.

A closed shape has 20 equal sides and one of its sides is 3 cm. Find its perimeter.

Two plots have the same perimeter. One is a square of side 10 m and another is a rectangle of breadth 8 m. Which plot has the greater area and by how much?

Find the approximate area of the flower in the given square grid.

Mark the base and height of the following right angled triangles
(i)

(ii)

(iii)

(iv)

(v)

(vi)

From all possible shapes of perimeter 80 cm with 9 identical squares, each of side 4 cm.

Find the perimeter and area of the following shapes

A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it.

Draw a square B whose side is twice of the square A. Calculate the perimeters of the squares A and B.

Find the number of tiles required to fill the are a of following ligures
(i)

(ii)

(iii)

(iv)

Find the area of the given 'L' shaped rectangular figure by dividing it into squares of equal sizes.
Take side: 7cm

Which of the following letter does not have a line of symmetry?

Which of the following is a symmetrical figure?

Which word has a vertical line of symmetry?

The order of rotational symmetry of 8 | 8 is _____

The order of rotational symmetry of is ____

Using the given horizontal line / vertical line as a line of symmetry, complete each alphabet to discover the hidden word.

Draw a line of symmetry of the given figures such that one hole coincide with the other hole(s) to make pairs.

Complete the other half of the following figures such that the dotted line is the line of symmetry

Find the order of rotation for each of the following

A standard die has six faces which are shown below. Find the order of rotational symmetry of each face of a die?

Draw the lines of symmetry for the given figures and also find the number of lines of symmetry

Draw the lines of symmetry for an equilateral triangle, a square, a regular pentagon and a regular hexagon and also find the number of lines of symmetry.

Assuming one shape is the reflection of the other, draw the mirror line for each of the given figures

What words will you see if a mirror is placed below the words MOM, COM, HIDE and WICK?

In the given figure first reflect the shaded part about the line ‘l’ and then reflect it about the line ‘m’.

Draw the lines of symmetry for each of the letters in the word RHOMBUS and also find the number of lines of symmetry. (Note: Here the letter ‘O’ is in circle shape.)

Complete the other half of the following figures such that the dotted line is a line of symmetry

Translate the given pattern and complete the design in the rectangular strip.

Translate the given pattern and complete the design in rectangular strip?

Find the 10^th term of the Fibonacci sequence.

Shade one square so that it possesses
i) One line of symmetry
ii) Rotational symmetry of order 2

Draw the following :
i) A figure which has reflection symmetry but no rotational symmetry.
ii) A figure which has rotational symmetry but no reflection symmetry.
iii) A figure which has both reflection and rotational symmetry.

Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below

Shape	Equilateral triangle	Square	Regular pentagon	Regular hexagon	Regular octagon
Number of lines of symmetry
Order of rotational symmetry

i) A regular polygon of 10 sides will have ______ lines of symmetry.
ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is _______
iii) A regular polygon of 'n' sides has _______ lines of symmetry and the order of rotational symmetry is _______.

Colour the boxes in such a way that it posseses translation symmetry

Find, the order of rotational symmetry by fixing the relevant shape in different ways.

The next term in the sequence 15, 17, 20, 22, 25,... is

What will be the 25^th letter in the pattern? ABCAABBCCAAABBBCCC,...

The difference between 6^th term and 5^th term in the Fibonacci sequence is

The 11^th term in the Lucas sequence 1, 3, 4, 7, ... is

If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is...

Find next three numbers in the following number patterns.
i) 50, 51, 53, 56, 60, …
ii) 77, 69, 61, 53,…
iii) 10, 20, 40, 80, …
\(iv) {21\over33},{321\over444},{4321\over5555},.....\)

Complete the following patterns.

Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding their difference.

Arrange the name of your classmates alphabetically.

Fill in the following information

Study and complete the following pattern
i) 1 \(\times\) 1 = 1 
11 \(\times\) 11 = 121
111 \(\times\) 111 = 12321
1111 \(\times\) 1111 = ?
11111 \(\times\) 11111 = ?

Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,… Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Find HCF of the following pair of numbers by Euclid’s game.
i) 25 and 35
ii) 36 and 12
iii) 15 and 29

Give instructions to fill in a bank withdrawal form issued in a bank

Follow and execute the instructions given below.
i) Write the number 10 in the place common to the three figures
ii) Write the number 5 in the place common for square and circle only.
iii) Write the number 7 in the place common for triangle and circle only.
iv) Write the number 2 in the place common for triangle and square only.
v) Write the numbers 12, 14 and 8 only in square, circle and triangle respectively

Follow the instructions in the given puzzle to arrive at the same number (36).
Instructions
Think of a number from 1 to 9.
Multiply it by 9.
If you have two digit number, add the digits together.
Subtract 3 from the answer.
Multiply the number by itself.

Observe the given 4 \(\times\) 4 square grid and follow the instructions given below to appreciate the uniqueness of the arrangement of numbers that gives the total 139.
Instructions
Add the numbers horizontally.
Add the numbers vertically.
Add the numbers diagonally.
Add the numbers in the four corners of the square.
Divide the square into four 2 \(\times\) 2 squares and add all the numbers in each of the squares.

Find HCF of 188 and 230 by Euclid's game.

Complete the following pattern
i) 1 + 2 + 3 + 4 = 10
2 + 3 + 4 + 5 = 14
__ + 4 + 5 + 6 =__
4 + 5 + 6 + __=__
ii) 1 + 3 + 5 + 7 = 16
__ + 5 + 7 + 9 = 24
5 + 7 + 9 + __ = __
7 + 9 + __ + 13 = __
iii) AB, DEF, HIJK, ____, STUVWX
iv) 20, 19, 17,___, 10, 5

Assign the number for English alphabets as 1 for A, 2 for B upto 26 for Z. Find the meaning of

Find the HCF of two numbers 16 and 28.

You need to read the instructions carefully before filling the OMR sheet. The given OMR sheet is shaded based on the following instructions
1. Observe the enrolment number written on the top row.
2. The digits are to be shaded from left to right.
3. Shade the corresponding bubbles under each of the number boxes.
4. Only one digit is to be shaded in each column.
5. Use only ball point pen for shading the bubbles.

Observe the calendar showing the month of January 2019.

Answer the following questions
i) Sort out the prime and composite numbers from the calendar.
ii) Sort out the odd and even numbers.
iii) Sort out the multiples of 6; multiples of 4; the common multiples of 4 and 6 and LCM of the two numbers.
iv) Sort out the dates which fall on Monday.

Write the numbers from 1 to 50. From that find the following.
i) The numbers which are neither divisible by 2 nor 7.
ii) The prime numbers between 25 and 40.
iii) All square numbers upto 50

Arrange the following from the eldest to the youngest. What do you get?

Prepare a daily time schedule for evening study at home

Observe the geometrical pattern and answer the following questions

i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it

Find HCF of 28, 35, 42 by Euclid’s game

Follow the given instructions to fill your name in the OMR sheet.
The name should be written in capital letters from left to right.
One alphabet is to be entered in each box.
If any empty boxes are there at the end they should be left blank.
Ballpoint pen is to be used for shading the bubbles for the corresponding alphabets.

Consider the Postal Index Number (PIN) written on the letters as follows: 604506; 604516; 604560; 604506; 604516; 604516; 604560; 604516; 604505; 604470; 604515; 604520; 604303; 604509; 604470. How the letters can be sorted as per Postal Index Numbers?

The successor of 10 million is

The expanded form of the number 6,70,905 is

The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

The value of 3 + 5 − 7 \(\times\) 1 is ________.

Use BIDMAS and put the correct operator in the box. 2 \(\Box\) 6 - 12 \(\div \) (4 + 2) = 10

1 billion is equal to ___________

The difference between the successor and the predecessor of 99999 is

The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

The value of 24 \(\div \) {8-(3\(\times\)2)} is

The number which on rounding off to the nearest thousand gives 11000 is

How many ten thousands are there in the smallest 6 digit number?

Observe the commas and write down the place value of 7. 56,74,56,345

Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

In a year, a whole-sale paper firm sold 6,25,600 notebooks out of 7,50,000 notebooks. Find the number of notebooks left unsold.

Name the property being illustrated in each of the cases given below. 50 \(\times\) 42 = 50 \(\times\) 40 + 50 \(\times\)2

Using the digits 5, 2, 0, 7, 3 form the largest 5 digit number and the smallest 5 digit number.

Arrange the following numbers in the descending order:
128435, 10835, 21354, 6348, 25840

Round off the following to the given nearest place. 4,065; hundred

Name the property being illustrated in each of the cases given below. 50 \(\times\) 1 = 50

Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.
a pattern of letter C as 
(i)

(ii)

Write the following numbers in the International System by using commas. 7345671

Write the number names of the following numerals in the Indian System. 75,32,105

Write the number names in words using the International System. 103,456,789

Use the properties of whole numbers and simplify. 50 \(\times\) 102

Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.

Write the following numbers in the International System by using commas. 634567105

Write the largest six digit number and put commas in the Indian and the International Systems.

Write the number names in words using the International System. 8,343,710

Write any eight digit number with 6 in ten lakhs place and 9 in ten thousandth place.

Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand.

Read and expand the number 50000, 676097

Write the number name in numerals. Two crore thirty lakh fifty one thousand nine hundred eighty.

Write the number name in numerals. Seven hundred eighty nine million, two hundred thirteen thousand four hundred fifty six.

The password to access my ATM card includes the digits 9,4,6 and 8. It is the smallest 4 digit even number. Find the password of my ATM Card.

The number of people who visited the Public Library for the past 5 months were 1200, 2000, 2450, 3060 and 3200. How many people visited the library in the last 5 months.

In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is Rs. 4000, then what will be the amount spent for (i) Provisions and (ii) Vegetables?

A picture is resized in a computer as shown below.

Do you observe any change in the shape and size of the picture? Check whether the ratios formed by its length and breadth are in proportion by cross product method.

Karmegan made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)

I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to anyone of the other colours?

Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumalgal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

The only even prime number is

The sum of the factors of 27 is

The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is

The number 87846 is divisible by

The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

The difference between two successive odd numbers is

Which of the following numbers is not a prime?

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

If the number 6354 * 97 is divisible by 9, then the value * is

Which of the following pairs is co-prime?

Express 31 and 55 as the sum of any three odd primes.

Write the smallest and the biggest three digit composite number.

The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100.

Each of the composite numbers has atleast three factors. Justify this statement with an example.

I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

Express 42 and 100 as the sum of two consecutive primes.

Write the smallest and the biggest two digit prime number.

The sum of any three odd natural numbers is odd. Justify this statement with an example.

Find the prime factorisation of each number by factor tree method and division method. 
a) 60 
b) 128 
c) 144 
d) 198 
e) 420 
f) 999

Find the HCF of each set of numbers using prime factorisation method.
(i) 18, 24   (ii) 51, 85    (iii) 61, 76     (iv) 84, 120    (v) 27, 45, 81     (vi) 45, 55, 95

A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

Find the smallest number that can be divided by 254 and 508 which leaves the remainder 4.

The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

Find A as required:
(i) The greatest 2 digit number 9A is divisible by 2.
(ii) The least number 567A is divisible by 3.
(iii) The greatest 3 digit number 9A6 is divisible by 6.
(iv) The number A08 is divisible by 4 and 9.
(v) The number 225A85 is divisible by 11.

The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

Find the ratio of the HCF and the LCM of the numbers 18 and 30.

The LCM of two co-prime numbers is 5005. If one of the numbers is 65, then find the other number.

Numbers divisible by 4 and 6 are divisible by 24. Verify this statement and support your answer with an example

Convert into lower units: 
(i) 15 km (m, cm, mm)
(ii) 12 kg (g, mg)

Find the LCM of 156 and 124.

A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees?

The arrival and departure timings of the Chennai - Trichy Express are given below.

(i) At what time does the train depart from Chennai Egmore to arrive at Trichy? The train departs from Egmore at 20:30 hours to arrive Trichy at 4:30 hours.
(ii) How long does it halt at Villupuram? It halts at Villupuram for 10 minutes.
(iii) How many halts are there in between Chennai and Trichy? There are 3 halts (1) Chengalpattu (2) Villupuram (3) Virudhachalam
(iv) Find the total journey time of the train from Chennai to Trichy.

Ramya purchases some make-up items and gets the following bill.

Observe the bill and answer the following questions.
(i) What is the bill number?
(ii) Mention the date of the bill.
(iii) How many different items were purchased?
(iv) What is the cost of an hair clip?
(v) What is the total cost of the ribbon?

Fill up the appropriate boxes in the following table:

Find the HCF of the numbers 18, 24 and 30 by factor tree method.

There are four Mobile Phones in a house. At 5 a.m, all the four Mobile Phones will ring together. Thereafter, the first one rings every 15 minutes, the second one rings every 20 minutes, the third one rings every 25 minutes and the fourth one rings every 30 minutes. At what time, will the four Mobile Phones ring together again?

Find the duration between 6 a.m and 4 p.m

The clock is set at 7 a.m. If the clock slows down two minutes every hour, find the time shown by the clock at 6 p.m.

Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
1. 5 packets Milk Khoa of 100 gm @ Rs. 40 each
2. 5 packets of Butter Milk @ Rs. 8 each
3. 6 packets Milk of 500ml @ Rs. 25 each
4. 5 packets Ghee of 100gm @ Rs. 40 each

The difference between \(3\over7\) and \(2\over9\) is

If \({6\over7}={A\over49}\)then the value of A is

There are __________ positive integers from −5 to 6.

One unit to the right of −7 is ___________

The number which determines marking the position of any number to its opposite on a number line is

Which of the following statement is incorrect?

The reciprocal of \(53\over17\) is

Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

The opposite of 20 units to the left of 0 is

3 units to the left of 1 is

From his office, a person wants to reach his house on foot which is at a distance of \(5{3\over4}\)km. If he had walked \(2{1\over 2}km\)  how much distance still he has to walk to reach his house?

Which is smaller? The difference between \(2{1\over2}\ and\ 3{2\over3}\) or the sum of \(1{1\over2}\ and\ 2{1\over4}\)

Mangai bought \(6{3\over4}\) kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

The length of the staircase is 5 \(\frac{1}{2}\) m If one step is set at \(\frac{1}{4}\) m then how many steps will be there in the staircase?

Shade the rectangle for the given pair of fractions and say which is greater among them.
(i) \(\cfrac { 1 }{ 3 } and\cfrac { 1 }{ 5 } \)

(ii) \(\cfrac { 2 }{ 5 } and\cfrac { 5 }{ 8 } \)

Which is greater \(\cfrac { 3 }{ 8 } or\cfrac { 3 }{ 5 } ?\)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

On the number line, which number is
i) 4 units to the right of −7?
ii) 5 units to the left of 3?

If 15 km east of a place is denoted as + 15 km, what is the integer that represents 15 km west of it?

Write two different reallife situations that represent the integer −3.

Madhu ate \(2\over 5\) of the chocolate bar and Nandhini ate ​\(1\over3\)​​​​​​ of the chocolate bar. Who has eaten more?

Arrange \({2\over 3},{1\over 6},{4\over 9}\) in ascending order

Add \(2\over3\)and\(3\over5\)

Simplify: \({3\over4}-{1\over2}\)

Convert \(5{3\over7}\)into an improper fraction.

Fill in the blanks.
i) 2 cm² = _____ mm²
ii) 18 m² = _____ cm²
iii) 5 km² = _____ m²

A piece of wire is 36 cm long. What will be the length of each side if we form
i) a square
ii) an equilateral triangle.

Draw the lines of symmetry for the given figures and also find the number of lines of symmetry

Draw the lines of symmetry for each of the letters in the word RHOMBUS and also find the number of lines of symmetry. (Note: Here the letter ‘O’ is in circle shape.)

Colour any one box in the given grid sheet so that it has reflection symmetry and draw the lines of symmetry

Convert mixed fractions into improper fractions and vice versa:
\(i)\ 3{7\over 18}\)
\(ii)\ {99\over7}\)
\(iii)\ {47\over6}\)
\(iv)\ 12{1\over9}\)

Divide the following :
\(i) \ {3\over7}\div4\)
\(ii)\ {4\over3}\div{5\over9}\)
\(iii)\ 4{1\over5}\div3{3\over 4}\)
\(iv)\ 9{2\over3}\div1{2\over3}\)

A painter painted \(3\over8\) of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

Look at the picture and answer the following questions:

i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ________ times the distance between School and Bus stop.

Using the given fractions \(\cfrac { 1 }{ 5 } ,\cfrac { 1 }{ 6 } ,\cfrac { 1 }{ 10 } ,\cfrac { 1 }{ 15 } ,\cfrac { 2 }{ 15 } ,\cfrac { 4 }{ 15 } ,\cfrac { 1 }{ 30 } ,\cfrac { 7 }{ 30 } \) and \(\cfrac { 9 }{ 36 } \)  fiIl in the missing  ones in the given -3 \(\times\) 3 square in such a way that the addition of fractions through rows, columns and diagonals give the same total

Answer the following:
i) Find the sum of \(1\over7\)and \(3\over9\).
ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
iii) Simplify: \(1{3\over5}+5{4\over7}\)
iv) Find the difference between \(8\over 9\)and \(2\over7\)
v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
vi) Simplify : \(7{2\over7}-3{4\over 21}\)

Multiply the following:
\(i)\ {2\over3}\times6\)
\(ii)\ 8{1\over3}\times5\)
\(iii)\ {3\over8}\times{4\over5}\)
\(iv)\ {3{5\over7}}\times1{1\over13}\)

Complete the fifth row in the Leibnitz triangle which is based on subraction.

A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

(i) Find the sum of \(5\cfrac { 4 }{ 9 } \)and \(3\cfrac { 1 }{ 6 } \)
(ii) Subtract \(7\cfrac { 1 }{ 6 } \) from \(12\cfrac { 3 }{ 8 } \)
(iii) Subtract the sum of \(6 \frac{1}{6}\) and \(3 \frac{1}{5}\) from the sum of \(9 \frac{2}{3} \text { and } 2 \frac{1}{2}\)

1 billion is equal to ___________

The successor of 10 million is

The difference between the successor and the predecessor of 99999 is

The expanded form of the number 6,70,905 is

Which list of numbers is in order from the smallest to the largest?

The value of 24 \(\div \) {8-(3\(\times\)2)} is

The number 9785764 is rounded off to the nearest lakh as

The product of a non-zero whole number and its successor is always

The whole number that does not have a predecessor is

Which of the following is not true?

How many ten thousands are there in the smallest 6 digit number?

Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

In a year, a whole-sale paper firm sold 6,25,600 notebooks out of 7,50,000 notebooks. Find the number of notebooks left unsold.

Name the property being illustrated in each of the cases given below. 50 \(\times\) 42 = 50 \(\times\) 40 + 50 \(\times\)2

Find the 5 or 6 or 7 digit numbers from a newspaper or a magazine to get a rounded number to the nearest ten thousand.

Complete the given order.
Ten crore, crore, ten lakh, ___________, ___________, ____________, _________, ___________.

Using the digits 5, 2, 0, 7, 3 form the largest 5 digit number and the smallest 5 digit number.

Simplify the following numerical expressions: (10 + 17) ÷ 3

Name the property being illustrated in each of the cases given below. 50 \(\times\) 1 = 50

Round off the seven digit number 29,75,842 to the nearest lakhs and ten lakhs. Are they the same?

Write the following numbers in the International System by using commas. 7345671

Simplify : 24 + 2 \(\times\) 8 ÷ 2 + 1

Simplify the following numerical expressions:100 + 8 ÷ 2 + {(3 \(\times\) 2) − 6 ÷ 2}

Use the properties of whole numbers and simplify. 4 \(\times\) 132 \(\times\) 25

Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.

Write the following numbers in the International System by using commas. 347056

Write the following numbers in the International System by using commas. 634567105

Write the largest six digit number and put commas in the Indian and the International Systems.

Write the number names of the following numerals in the Indian System. 9,75,63,453

Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

Read and expand the number 50000, 676097

The heights (in metres) of the mountains in Tamil Nadu are as follows:

(i) Which is the highest mountain listed above?
(ii) Order the mountains from the highest to the lowest.
(iii) What is the difference between the heights of the mountains Anaimudi and Mahendragiri?

The number of people who visited the Public Library for the past 5 months were 1200, 2000, 2450, 3060 and 3200. How many people visited the library in the last 5 months.

Round off the number 78,794 to the nearest thousands.

Read the table and answer the following questions.

(i) Write the Canopus star’s diameter in words, in the Indian and the International System.
(ii) Write the sum of the place values of 5 in Sirius star’s diameter in the Indian System.
(iii) Eight hundred sixty four million seven hundred thirty. Write in Indian System.
(iv) Write the diameter in words of Arcturus star in the International System.
(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems.

Cheran had a bank savings of Rs. 7,50,250. He withdrew Rs. 5,34,500 for educational purpose. Find the balance amount in his account.

As per the census of 2001, the population of four states are given below. Arrange the states in ascending and descending order of their population.

A poultry has produced 15472 eggs and fits 30 eggs in a tray. How many trays do they need?

Anbu asks Arivu Selvi to guess a five digit odd number. He gives the following hints.
The digit in the 1000s place is less than 5
The digit in the 100s place is greater than 6
The digit in the 10s place is 8
What is Arivu Selvi’s answer? Does she give more than one answer?

A Music concert is taking place in a stadium. A total of 7,689 chairs are to be put in rows of 90.
(i) How many rows will there be?
(ii) Will there be any chairs left over?

Answer the following:
i) Find the sum of \(1\over7\)and \(3\over9\).
ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
iii) Simplify: \(1{3\over5}+5{4\over7}\)
iv) Find the difference between \(8\over 9\)and \(2\over7\)
v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
vi) Simplify : \(7{2\over7}-3{4\over 21}\)

Multiply the following:
\(i)\ {2\over3}\times6\)
\(ii)\ 8{1\over3}\times5\)
\(iii)\ {3\over8}\times{4\over5}\)
\(iv)\ {3{5\over7}}\times1{1\over13}\)

Complete the fifth row in the Leibnitz triangle which is based on subraction.

A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

(i) Find the sum of \(5\cfrac { 4 }{ 9 } \)and \(3\cfrac { 1 }{ 6 } \)
(ii) Subtract \(7\cfrac { 1 }{ 6 } \) from \(12\cfrac { 3 }{ 8 } \)
(iii) Subtract the sum of \(6 \frac{1}{6}\) and \(3 \frac{1}{5}\) from the sum of \(9 \frac{2}{3} \text { and } 2 \frac{1}{2}\)

Convert mixed fractions into improper fractions and vice versa:
\(i)\ 3{7\over 18}\)
\(ii)\ {99\over7}\)
\(iii)\ {47\over6}\)
\(iv)\ 12{1\over9}\)

Divide the following :
\(i) \ {3\over7}\div4\)
\(ii)\ {4\over3}\div{5\over9}\)
\(iii)\ 4{1\over5}\div3{3\over 4}\)
\(iv)\ 9{2\over3}\div1{2\over3}\)

A painter painted \(3\over8\) of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

Look at the picture and answer the following questions:

i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ________ times the distance between School and Bus stop.

Using the given fractions \(\cfrac { 1 }{ 5 } ,\cfrac { 1 }{ 6 } ,\cfrac { 1 }{ 10 } ,\cfrac { 1 }{ 15 } ,\cfrac { 2 }{ 15 } ,\cfrac { 4 }{ 15 } ,\cfrac { 1 }{ 30 } ,\cfrac { 7 }{ 30 } \) and \(\cfrac { 9 }{ 36 } \)  fiIl in the missing  ones in the given -3 \(\times\) 3 square in such a way that the addition of fractions through rows, columns and diagonals give the same total

Fill in the blanks.
i) 2 cm² = _____ mm²
ii) 18 m² = _____ cm²
iii) 5 km² = _____ m²

A piece of wire is 36 cm long. What will be the length of each side if we form
i) a square
ii) an equilateral triangle.

Draw the lines of symmetry for the given figures and also find the number of lines of symmetry

Draw the lines of symmetry for each of the letters in the word RHOMBUS and also find the number of lines of symmetry. (Note: Here the letter ‘O’ is in circle shape.)

Colour any one box in the given grid sheet so that it has reflection symmetry and draw the lines of symmetry

Madhu ate \(2\over 5\) of the chocolate bar and Nandhini ate ​\(1\over3\)​​​​​​ of the chocolate bar. Who has eaten more?

Arrange \({2\over 3},{1\over 6},{4\over 9}\) in ascending order

Add \(2\over3\)and\(3\over5\)

Simplify: \({3\over4}-{1\over2}\)

Convert \(5{3\over7}\)into an improper fraction.

Which is greater \(\cfrac { 3 }{ 8 } or\cfrac { 3 }{ 5 } ?\)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

On the number line, which number is
i) 4 units to the right of −7?
ii) 5 units to the left of 3?

If 15 km east of a place is denoted as + 15 km, what is the integer that represents 15 km west of it?

Write two different reallife situations that represent the integer −3.

From his office, a person wants to reach his house on foot which is at a distance of \(5{3\over4}\)km. If he had walked \(2{1\over 2}km\)  how much distance still he has to walk to reach his house?

Which is smaller? The difference between \(2{1\over2}\ and\ 3{2\over3}\) or the sum of \(1{1\over2}\ and\ 2{1\over4}\)

Mangai bought \(6{3\over4}\) kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

The length of the staircase is 5 \(\frac{1}{2}\) m If one step is set at \(\frac{1}{4}\) m then how many steps will be there in the staircase?

Shade the rectangle for the given pair of fractions and say which is greater among them.
(i) \(\cfrac { 1 }{ 3 } and\cfrac { 1 }{ 5 } \)

(ii) \(\cfrac { 2 }{ 5 } and\cfrac { 5 }{ 8 } \)

Which of the following statement is incorrect?

The reciprocal of \(53\over17\) is

Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

The opposite of 20 units to the left of 0 is

3 units to the left of 1 is

The difference between \(3\over7\) and \(2\over9\) is

If \({6\over7}={A\over49}\)then the value of A is

There are __________ positive integers from −5 to 6.

One unit to the right of −7 is ___________

The number which determines marking the position of any number to its opposite on a number line is

Find the HCF of the numbers 18, 24 and 30 by factor tree method.

There are four Mobile Phones in a house. At 5 a.m, all the four Mobile Phones will ring together. Thereafter, the first one rings every 15 minutes, the second one rings every 20 minutes, the third one rings every 25 minutes and the fourth one rings every 30 minutes. At what time, will the four Mobile Phones ring together again?

Find the duration between 6 a.m and 4 p.m

The clock is set at 7 a.m. If the clock slows down two minutes every hour, find the time shown by the clock at 6 p.m.

Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
1. 5 packets Milk Khoa of 100 gm @ Rs. 40 each
2. 5 packets of Butter Milk @ Rs. 8 each
3. 6 packets Milk of 500ml @ Rs. 25 each
4. 5 packets Ghee of 100gm @ Rs. 40 each

Find the LCM of 156 and 124.

A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees?

The arrival and departure timings of the Chennai - Trichy Express are given below.

(i) At what time does the train depart from Chennai Egmore to arrive at Trichy? The train departs from Egmore at 20:30 hours to arrive Trichy at 4:30 hours.
(ii) How long does it halt at Villupuram? It halts at Villupuram for 10 minutes.
(iii) How many halts are there in between Chennai and Trichy? There are 3 halts (1) Chengalpattu (2) Villupuram (3) Virudhachalam
(iv) Find the total journey time of the train from Chennai to Trichy.

Ramya purchases some make-up items and gets the following bill.

Observe the bill and answer the following questions.
(i) What is the bill number?
(ii) Mention the date of the bill.
(iii) How many different items were purchased?
(iv) What is the cost of an hair clip?
(v) What is the total cost of the ribbon?

Fill up the appropriate boxes in the following table:

What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

Find the ratio of the HCF and the LCM of the numbers 18 and 30.

The LCM of two co-prime numbers is 5005. If one of the numbers is 65, then find the other number.

Numbers divisible by 4 and 6 are divisible by 24. Verify this statement and support your answer with an example

Convert into lower units: 
(i) 15 km (m, cm, mm)
(ii) 12 kg (g, mg)

A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

Find the smallest number that can be divided by 254 and 508 which leaves the remainder 4.

The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

Find A as required:
(i) The greatest 2 digit number 9A is divisible by 2.
(ii) The least number 567A is divisible by 3.
(iii) The greatest 3 digit number 9A6 is divisible by 6.
(iv) The number A08 is divisible by 4 and 9.
(v) The number 225A85 is divisible by 11.

The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

Express 42 and 100 as the sum of two consecutive primes.

Write the smallest and the biggest two digit prime number.

The sum of any three odd natural numbers is odd. Justify this statement with an example.

Find the prime factorisation of each number by factor tree method and division method. 
a) 60 
b) 128 
c) 144 
d) 198 
e) 420 
f) 999

Find the HCF of each set of numbers using prime factorisation method.
(i) 18, 24   (ii) 51, 85    (iii) 61, 76     (iv) 84, 120    (v) 27, 45, 81     (vi) 45, 55, 95

Express 31 and 55 as the sum of any three odd primes.

Write the smallest and the biggest three digit composite number.

The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100.

Each of the composite numbers has atleast three factors. Justify this statement with an example.

I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

The difference between two successive odd numbers is

Which of the following numbers is not a prime?

The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

If the number 6354 * 97 is divisible by 9, then the value * is

Which of the following pairs is co-prime?

The only even prime number is

The sum of the factors of 27 is

The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is

The number 87846 is divisible by

The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is Rs. 4000, then what will be the amount spent for (i) Provisions and (ii) Vegetables?

A picture is resized in a computer as shown below.

Do you observe any change in the shape and size of the picture? Check whether the ratios formed by its length and breadth are in proportion by cross product method.

Karmegan made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)

I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to anyone of the other colours?

Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumalgal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

Read and expand the number 50000, 676097

Write the number name in numerals. Two crore thirty lakh fifty one thousand nine hundred eighty.

Write the number name in numerals. Seven hundred eighty nine million, two hundred thirteen thousand four hundred fifty six.

The password to access my ATM card includes the digits 9,4,6 and 8. It is the smallest 4 digit even number. Find the password of my ATM Card.

The number of people who visited the Public Library for the past 5 months were 1200, 2000, 2450, 3060 and 3200. How many people visited the library in the last 5 months.

Write the following numbers in the International System by using commas. 634567105

Write the largest six digit number and put commas in the Indian and the International Systems.

Write the number names in words using the International System. 8,343,710

Write any eight digit number with 6 in ten lakhs place and 9 in ten thousandth place.

Estimate the sum of 157826 and 32469 rounded off to the nearest ten thousand.

Write the following numbers in the International System by using commas. 7345671

Write the number names of the following numerals in the Indian System. 75,32,105

Write the number names in words using the International System. 103,456,789

Use the properties of whole numbers and simplify. 50 \(\times\) 102

Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.

Using the digits 5, 2, 0, 7, 3 form the largest 5 digit number and the smallest 5 digit number.

Arrange the following numbers in the descending order:
128435, 10835, 21354, 6348, 25840

Round off the following to the given nearest place. 4,065; hundred

Name the property being illustrated in each of the cases given below. 50 \(\times\) 1 = 50

Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.
a pattern of letter C as 
(i)

(ii)

How many ten thousands are there in the smallest 6 digit number?

Observe the commas and write down the place value of 7. 56,74,56,345

Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

In a year, a whole-sale paper firm sold 6,25,600 notebooks out of 7,50,000 notebooks. Find the number of notebooks left unsold.

Name the property being illustrated in each of the cases given below. 50 \(\times\) 42 = 50 \(\times\) 40 + 50 \(\times\)2

1 billion is equal to ___________

The difference between the successor and the predecessor of 99999 is

The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

The value of 24 \(\div \) {8-(3\(\times\)2)} is

The number which on rounding off to the nearest thousand gives 11000 is

The successor of 10 million is

The expanded form of the number 6,70,905 is

The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

The value of 3 + 5 − 7 \(\times\) 1 is ________.

Use BIDMAS and put the correct operator in the box. 2 \(\Box\) 6 - 12 \(\div \) (4 + 2) = 10

Prepare a daily time schedule for evening study at home

Observe the geometrical pattern and answer the following questions

i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it

Find HCF of 28, 35, 42 by Euclid’s game

Follow the given instructions to fill your name in the OMR sheet.
The name should be written in capital letters from left to right.
One alphabet is to be entered in each box.
If any empty boxes are there at the end they should be left blank.
Ballpoint pen is to be used for shading the bubbles for the corresponding alphabets.

Consider the Postal Index Number (PIN) written on the letters as follows: 604506; 604516; 604560; 604506; 604516; 604516; 604560; 604516; 604505; 604470; 604515; 604520; 604303; 604509; 604470. How the letters can be sorted as per Postal Index Numbers?

Find the HCF of two numbers 16 and 28.

You need to read the instructions carefully before filling the OMR sheet. The given OMR sheet is shaded based on the following instructions
1. Observe the enrolment number written on the top row.
2. The digits are to be shaded from left to right.
3. Shade the corresponding bubbles under each of the number boxes.
4. Only one digit is to be shaded in each column.
5. Use only ball point pen for shading the bubbles.

Observe the calendar showing the month of January 2019.

Answer the following questions
i) Sort out the prime and composite numbers from the calendar.
ii) Sort out the odd and even numbers.
iii) Sort out the multiples of 6; multiples of 4; the common multiples of 4 and 6 and LCM of the two numbers.
iv) Sort out the dates which fall on Monday.

Write the numbers from 1 to 50. From that find the following.
i) The numbers which are neither divisible by 2 nor 7.
ii) The prime numbers between 25 and 40.
iii) All square numbers upto 50

Arrange the following from the eldest to the youngest. What do you get?

Follow the instructions in the given puzzle to arrive at the same number (36).
Instructions
Think of a number from 1 to 9.
Multiply it by 9.
If you have two digit number, add the digits together.
Subtract 3 from the answer.
Multiply the number by itself.

Observe the given 4 \(\times\) 4 square grid and follow the instructions given below to appreciate the uniqueness of the arrangement of numbers that gives the total 139.
Instructions
Add the numbers horizontally.
Add the numbers vertically.
Add the numbers diagonally.
Add the numbers in the four corners of the square.
Divide the square into four 2 \(\times\) 2 squares and add all the numbers in each of the squares.

Find HCF of 188 and 230 by Euclid's game.

Complete the following pattern
i) 1 + 2 + 3 + 4 = 10
2 + 3 + 4 + 5 = 14
__ + 4 + 5 + 6 =__
4 + 5 + 6 + __=__
ii) 1 + 3 + 5 + 7 = 16
__ + 5 + 7 + 9 = 24
5 + 7 + 9 + __ = __
7 + 9 + __ + 13 = __
iii) AB, DEF, HIJK, ____, STUVWX
iv) 20, 19, 17,___, 10, 5

Assign the number for English alphabets as 1 for A, 2 for B upto 26 for Z. Find the meaning of

Study and complete the following pattern
i) 1 \(\times\) 1 = 1 
11 \(\times\) 11 = 121
111 \(\times\) 111 = 12321
1111 \(\times\) 1111 = ?
11111 \(\times\) 11111 = ?

Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,… Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Find HCF of the following pair of numbers by Euclid’s game.
i) 25 and 35
ii) 36 and 12
iii) 15 and 29

Give instructions to fill in a bank withdrawal form issued in a bank

Follow and execute the instructions given below.
i) Write the number 10 in the place common to the three figures
ii) Write the number 5 in the place common for square and circle only.
iii) Write the number 7 in the place common for triangle and circle only.
iv) Write the number 2 in the place common for triangle and square only.
v) Write the numbers 12, 14 and 8 only in square, circle and triangle respectively

Find next three numbers in the following number patterns.
i) 50, 51, 53, 56, 60, …
ii) 77, 69, 61, 53,…
iii) 10, 20, 40, 80, …
\(iv) {21\over33},{321\over444},{4321\over5555},.....\)

Complete the following patterns.

Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding their difference.

Arrange the name of your classmates alphabetically.

Fill in the following information

The next term in the sequence 15, 17, 20, 22, 25,... is

What will be the 25^th letter in the pattern? ABCAABBCCAAABBBCCC,...

The difference between 6^th term and 5^th term in the Fibonacci sequence is

The 11^th term in the Lucas sequence 1, 3, 4, 7, ... is

If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is...

Shade one square so that it possesses
i) One line of symmetry
ii) Rotational symmetry of order 2

Draw the following :
i) A figure which has reflection symmetry but no rotational symmetry.
ii) A figure which has rotational symmetry but no reflection symmetry.
iii) A figure which has both reflection and rotational symmetry.

Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below

Shape	Equilateral triangle	Square	Regular pentagon	Regular hexagon	Regular octagon
Number of lines of symmetry
Order of rotational symmetry

i) A regular polygon of 10 sides will have ______ lines of symmetry.
ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is _______
iii) A regular polygon of 'n' sides has _______ lines of symmetry and the order of rotational symmetry is _______.

Colour the boxes in such a way that it posseses translation symmetry

Find, the order of rotational symmetry by fixing the relevant shape in different ways.

Draw the lines of symmetry for each of the letters in the word RHOMBUS and also find the number of lines of symmetry. (Note: Here the letter ‘O’ is in circle shape.)

Complete the other half of the following figures such that the dotted line is a line of symmetry

Translate the given pattern and complete the design in the rectangular strip.

Translate the given pattern and complete the design in rectangular strip?

Find the 10^th term of the Fibonacci sequence.

Draw the lines of symmetry for the given figures and also find the number of lines of symmetry

Draw the lines of symmetry for an equilateral triangle, a square, a regular pentagon and a regular hexagon and also find the number of lines of symmetry.

Assuming one shape is the reflection of the other, draw the mirror line for each of the given figures

What words will you see if a mirror is placed below the words MOM, COM, HIDE and WICK?

In the given figure first reflect the shaded part about the line ‘l’ and then reflect it about the line ‘m’.

Using the given horizontal line / vertical line as a line of symmetry, complete each alphabet to discover the hidden word.

Draw a line of symmetry of the given figures such that one hole coincide with the other hole(s) to make pairs.

Complete the other half of the following figures such that the dotted line is the line of symmetry

Find the order of rotation for each of the following

A standard die has six faces which are shown below. Find the order of rotational symmetry of each face of a die?

Which of the following letter does not have a line of symmetry?

Which of the following is a symmetrical figure?

Which word has a vertical line of symmetry?

The order of rotational symmetry of 8 | 8 is _____

The order of rotational symmetry of is ____

Find the perimeter and area of the following shapes

A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it.

Draw a square B whose side is twice of the square A. Calculate the perimeters of the squares A and B.

Find the number of tiles required to fill the are a of following ligures
(i)

(ii)

(iii)

(iv)

Find the area of the given 'L' shaped rectangular figure by dividing it into squares of equal sizes.
Take side: 7cm

A closed shape has 20 equal sides and one of its sides is 3 cm. Find its perimeter.

Two plots have the same perimeter. One is a square of side 10 m and another is a rectangle of breadth 8 m. Which plot has the greater area and by how much?

Find the approximate area of the flower in the given square grid.

Mark the base and height of the following right angled triangles
(i)

(ii)

(iii)

(iv)

(v)

(vi)

From all possible shapes of perimeter 80 cm with 9 identical squares, each of side 4 cm.

The table given below contains some measures of the right angled triangle. Find the unknown values

Find the perimeter of
i) A scalene triangle with sides 7 m, 8 m, 10 m.
ii) An isosceles triangle with equal sides 10 cm each and third side is 7 cm.
iii) An equilateral triangle with side 6 cm

A piece of wire is 36 cm long. What will be the length of each side if we form
i) a square
ii) an equilateral triangle.

From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?

Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at Rs. 10 per metre.

If the length of a rectangle is 12 cm and the breadth is 10 cm, then find its perimeter

Find the perimeter of a triangle whose sides are 3 cm, 4 cm and 5 cm

Find the side of a square shaped postal stamp of perimeter 8 cm.

Find the cost of fencing a square plot of side 12 m at the rate of Rs. 15 per metre

Find the area of a square of side 15 cm

Find the perimeter and the area of the rectangle whose length is 6 m and breadth is 4 m.

Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet.

A square park has 40 m as its perimeter. What is the length of its side? Also find its area.

A field is in the shape of a right angled triangle whose base is 25 m and height 20 m. Find the cost of levelling the field at the rate of Rs. 45/- per sq. m².

(i) Draw a shape with perimeter 16 cm in a dot sheet
(ii) What is the perimeter of a rectangle if the length is twice its breadth ?
(iii) What would be the perimeter of a square if its side is reduced to half?
(iv) What is the perimeter of a triangle if all sides are equal in length ?

Find the perimeter and the area of the square whose side is 8 cm

The area of a rectangular shaped photo is 820 sq. cm. and its width is 20 cm. What is its length? Also find its perimeter

The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side

A square of side 2 cm is joined with a rectangle of length 15 cm and breadth 10 cm. Find the perimeter of the combined shape.

(i) Find the breadth of the rectangle with perimeter 14m and length 4m
(ii) The perimeter of an isosceles triangle is 21 cm. Find the measure of equal sides given that the third side is 5 cm.

The following figures are of equal area. Which figure has the least perimeter?

If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will be

If every side of a rectangle is doubled, then its area becomes _____ times

The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?

The length and breadth of a rectangular sheet of a paper are 15 cm and 12 cm respectively. A rectangular piece is cut from one of its corners. Which of the following statement is correct for the remaining sheet?

Complete the table using the following hints:
C1: the first non-negative integer.
C3: the opposite to the second negative integer.
C5: the additive identity in whole numbers.
C6: the successor of the integer in C2.
C8: the predecessor of the integer in C7.
C9: the opposite to the integer in C5

The following bar graph shows the profit (+) and loss (−) of a small scale company (in crores) between the years 2011 to 2017.

i) Write the integer that represents a profit or a loss for the company in 2014?
ii) Denote by an integer on the profit or loss in 2016.
iii) Denote by integers on the loss for the company in 2011 and 2012.
iv) Say True or False: The loss is minimum in 2012.
v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.

Answer the following questions from the number line given below

i) Which integer is greater : G or K ? Why ?
ii) Find the integer that represents C.
iii) How many integers are there between G and H?
iv) Find the pairs of letters which are opposite of a number.
v) Say True or False : 6 units to the left of D is −6.

Suppose in a building, there are 2 basement floors. If the ground floor is denoted as zero, how can we represent the basement floors?
(i) Is -15 < -26 ? why?
(ii) Which is smaller - 3 or -5 ? Why?
(iii) Which is greater 7 or -4 ? Why?
(iv) Which is the greatest negative integer?
(v) Which is the smallest positive integer?

Take two cards from a deck of playing cards and identify, which is greater between them, assuming that the joker card represents zero, black cards represent positive integers, red cards represent negative integers and the cards A, J. Q and K represent 1, 11, 12 and 13 respectively.

Using the number line, write the integer which is 5 more than −6.

Arrange the following integers in ascending order:
−15, 0, −7, 12, 3, −5, 1, −20, 25, 18

Put the appropriate signs as <, > or = in the box.
i) −7\(\boxed\ \) 8
ii) −8 \(\boxed\ \) −7
iii) −999 \(\boxed\ \) −1000
iv) −111 \(\boxed\ \) −111
v) 0 \(\boxed\ \) −200

Arrange the following integers in descending order.
i) 14, 27, 15, −14, −9, 0, 11, −17
ii) −99, −120, 65, −46, 78, 400, −600
iii) 111, −222, 333, −444, 555, −666, 7777, −888

Is there the smallest and the largest number in the set of integers? Give reason

Represent the following situations as integers:
i) A gain of Rs. 1000
ii) 20°C below 0°C
iii) 1990 BC (BCE)
iv) A deposit of Rs. 15847
v) 10 kg below normal weight

Find the numbers on the number line that are at a distance of 3 units in the opposite directions to −2

Compare −14 and −11

Write all the integers between the given numbers.
i) 7 and 10
ii) −5 and 4
iii) −3 and 3
iv) −5 and 0

Look at the Celsius Thermometer and answer the following questions:
i) What is the temperature that is shown in the Thermometer?
ii) Where will you mark the temperature 5^o C below 0^o C in the Thermometer?
iii) What will be the temperature, if 10^o C is reduced from the temperature shown in the Thermometer?
iv) Mark the opposite of 15^o C in the Thermometer.

Mark the numbers 4, −3, 6, −1 and −5 on the number line.

Find the opposite of the following numbers
i) 44
ii) −19
iii) 0
iv) −312
v) 789

From the following number lines, identify the correct and the wrong representations with reason

Construct a number line that shows the depth of 10 feet from the ground level and its opposite

Are all natural numbers integers?

On the number line, which number is
i) 4 units to the right of −7?
ii) 5 units to the left of 3?

If 15 km east of a place is denoted as + 15 km, what is the integer that represents 15 km west of it?

Write two different reallife situations that represent the integer −3.

Identify the integers and mark on the number line that are at a distance of 8 units from −6.

Find the integers that are 4 units to the left 0 and 2 units to the right of −3.

There are __________ positive integers from −5 to 6.

The opposite of 20 units to the left of 0 is

One unit to the right of −7 is ___________

3 units to the left of 1 is

The number which determines marking the position of any number to its opposite on a number line is

Answer the following:
i) Find the sum of \(1\over7\)and \(3\over9\).
ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
iii) Simplify: \(1{3\over5}+5{4\over7}\)
iv) Find the difference between \(8\over 9\)and \(2\over7\)
v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
vi) Simplify : \(7{2\over7}-3{4\over 21}\)

Multiply the following:
\(i)\ {2\over3}\times6\)
\(ii)\ 8{1\over3}\times5\)
\(iii)\ {3\over8}\times{4\over5}\)
\(iv)\ {3{5\over7}}\times1{1\over13}\)

Complete the fifth row in the Leibnitz triangle which is based on subraction.

A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

(i) Find the sum of \(5\cfrac { 4 }{ 9 } \)and \(3\cfrac { 1 }{ 6 } \)
(ii) Subtract \(7\cfrac { 1 }{ 6 } \) from \(12\cfrac { 3 }{ 8 } \)
(iii) Subtract the sum of \(6 \frac{1}{6}\) and \(3 \frac{1}{5}\) from the sum of \(9 \frac{2}{3} \text { and } 2 \frac{1}{2}\)

Convert mixed fractions into improper fractions and vice versa:
\(i)\ 3{7\over 18}\)
\(ii)\ {99\over7}\)
\(iii)\ {47\over6}\)
\(iv)\ 12{1\over9}\)

Divide the following :
\(i) \ {3\over7}\div4\)
\(ii)\ {4\over3}\div{5\over9}\)
\(iii)\ 4{1\over5}\div3{3\over 4}\)
\(iv)\ 9{2\over3}\div1{2\over3}\)

A painter painted \(3\over8\) of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?

Look at the picture and answer the following questions:

i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ________ times the distance between School and Bus stop.

Using the given fractions \(\cfrac { 1 }{ 5 } ,\cfrac { 1 }{ 6 } ,\cfrac { 1 }{ 10 } ,\cfrac { 1 }{ 15 } ,\cfrac { 2 }{ 15 } ,\cfrac { 4 }{ 15 } ,\cfrac { 1 }{ 30 } ,\cfrac { 7 }{ 30 } \) and \(\cfrac { 9 }{ 36 } \)  fiIl in the missing  ones in the given -3 \(\times\) 3 square in such a way that the addition of fractions through rows, columns and diagonals give the same total

An oil tin contains \(7{1\over2}\) litres of oil which is poured in \(2{1\over2}\) litres bottles How many bottles are required to fill \(7{1\over2}\) litres of oil?

Gowri purchased \(3{1\over2}\)kg of tomatoes, \(3\over4\)kg of brinjal and \(1{1\over4}\)kg of onion. What is the total weight of the vegetables she bought?

What fraction is to be subtracted from 9 \(\frac{3}{7}\)to get 3 \(\frac{1}{5}\)?

By what number should \(3{1\over16}\)be multiplied to get \(9{3\over16}\) ?

Look at the following beakers. Express the quantity of water as fractions and arrange them in ascending order

Divide \(4{1\over2}\) by \(3{1\over2}\)

An oil tin contains \(3{3\over4}\) litres of oil of which \(2{1\over2}\) litres of oil is used. How much oil is left over?

Ravi bought a curtain of length \(15{3\over4}\)m. If he cut the curtain into small pieces each of length \(2{1\over4}\) m, then how many small curtains will he get?

Observe the following and represent the shaded parts as fraction:
(i)
 
(ii)

(iii)

(iv) 

Write the fraction of shaded part in the following:
(i) 

(ii)

(iii) 

 

Sankari purchased \(2{1\over2}\) m cloth to stich a long skirt and \(1{3\over 4}m\) cloth to stitch blouse. If the cost is Rs.120 per metre then find the cost of cloth purchased by her

Which is smaller? The difference between \(2{1\over2}\ and\ 3{2\over3}\) or the sum of \(1{1\over2}\ and\ 2{1\over4}\)

The length of the staircase is 5 \(\frac{1}{2}\) m If one step is set at \(\frac{1}{4}\) m then how many steps will be there in the staircase?

Which is greater \(\cfrac { 3 }{ 8 } or\cfrac { 3 }{ 5 } ?\)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

From his office, a person wants to reach his house on foot which is at a distance of \(5{3\over4}\)km. If he had walked \(2{1\over 2}km\)  how much distance still he has to walk to reach his house?

Mangai bought \(6{3\over4}\) kg of apples. If Kalai bought \(1{1\over2}\) times as Mangai bought, then how many kilograms of apples did Kalai buy?

Shade the rectangle for the given pair of fractions and say which is greater among them.
(i) \(\cfrac { 1 }{ 3 } and\cfrac { 1 }{ 5 } \)

(ii) \(\cfrac { 2 }{ 5 } and\cfrac { 5 }{ 8 } \)

Arrange the fractions in ascending order.\(\cfrac { 3 }{ 5 } ,\cfrac { 9 }{ 10 } ,\cfrac { 11 }{ 15 } \)

Arrange the fractions in descending order \(\cfrac { 9 }{ 20 } ,\cfrac { 3 }{ 4 } ,\cfrac { 7 }{ 12 } \)
(i) \(\cfrac { 2 }{ 3 } +\cfrac { 5 }{ 7 } \)
(ii) \(\cfrac { 3 }{ 5 } -\cfrac { 3 }{ 8 } \)

Which of the following statement is incorrect?

The difference between \(3\over7\) and \(2\over9\) is

The reciprocal of \(53\over17\) is

If \({6\over7}={A\over49}\)then the value of A is

Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?

Convert the following algebraic expressions into tree diagrams.
(i) 10v
(ii) 3a−b
(iii) 5x + y
(iv) 20t \(\times\) p
(v) 2(a+b)
(vi) (x \(\times\) y) − (y \(\times\) z)
(vii) 4 x + 5y
(viii) (lm − n) \(\div \) (pq + r)

Convert Tree diagrams into Algebraic expressions.

Convert the following questions into tree diagrams:
(i) The number of people who visited a library in the last 5 months were 1210, 2100, 2550, 3160 and 3310. Draw the tree diagram of the total number of people who had used the library for the 5 months.
(ii) Ram had a bank deposit of Rs. 7,55,250 and he had withdrawn Rs. 5,34,500 for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
(iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
(iv) A company with 30 employees decided to distribute Rs. 90,000 as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?

Write the numerical expression which gives the answer 10 and also convert into tree diagram.

A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in tree diagram.

Vani and Kala along with three other friends went to a butter milk shop. The cost of one butter milk is Rs. 6. If 9 more friends joined them, then how much money did they have to pay? Vani said they had to pay Rs. 84 whereas Kala said they had to pay Rs. 59. Who is correct?

Convert into a Tree diagram (9\(\times\)5) + (10\(\times\)12)

Convert into a Tree diagram {[(10 \(\times\) 5)+6]\(\times\)[5+(6−2)]}\(\div \)[8\(\times\)(4+2)].

Convert the Tree diagram into a numerical expression.

Write the missing numbers in the trees.

In one year, a paper company had sold 6,25,610 notebooks out of a stock of 7,50,800 notebooks. Find the number of notebooks left unsold.

If a ration shop has distributed 1,00,000 kg of rice to 5000 families, then find the quantity of rice given to each family?

Convert into a Tree diagram (10\(\times\)9) − [(8\(\times\)2) + 3]

Convert into a Tree diagram [(9−4)\(\times\)8] + [(8+2)\(\times\)3]

Convert the tree diagram into an algebraic expression.

Can a triangle be formed with the following sides? If yes, name the type of triangle.
(i) 8 cm, 6 cm, 4 cm
(ii) 10 cm, 8 cm, 5 cm
(iii) 6.2 cm, 1.3 cm, 3.5 cm
(iv) 6 cm, 6 cm, 4 cm
(v) 3.5 cm, 3.5 cm, 3.5 cm
(vi) 9 cm, 4 cm, 5 cm

Construct a line perpendicular to the given line at a point on the line.

Draw a line segment PQ = 12 cm. Mark two points M, N at a distance of 5 cm above the line segment PQ. Through M and N draw a line parallel to PQ.

Two sides of the triangle are given in the table. Find the third side of the triangle.

Complete the following table :

Can a triangle be formed with the following angles? If yes, name the type of triangle.
(i) 60°, 60°, 60° 
(ii) 90°, 55°, 35° 
(iii) 60°, 40°, 42°
(iv) 60°, 90°, 90°
(v) 70°, 60°, 50°
(vi) 100°, 50°, 30°

Using the given information, write the type of triangle in the table given below

Construct a line perpendicular to the given line through a point above it.

Draw a line and mark a point R at a distance of 4.8 cm above the line. Through R draw a line parallel to the given line.

Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles

Can a triangle be formed with 7 cm, 10 cm and 5 cm as its sides?

Can a triangle be formed with 8 cm, 3 cm and 4 cm as its sides?

Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P.

Find the distance between the given lines using a set square at two different points on each of the pairs of lines and check whether they are parallel.

Draw a line and mark a point R below it at a distance of 5.4 cm Through R draw a line parallel to the given line.

Can a triangle be formed with 7 cm, 10 cm and 5 cm as its sides?

Can a triangle be formed with 8 cm, 3 cm and 4 cm as its sides?

Draw a line segment AB = 7 cm and mark a point P on it. Draw a line perpendicular to the given line segment at P.

Find the distance between the given lines using a set square at two different points on each of the pairs of lines and check whether they are parallel.

Draw a line and mark a point R below it at a distance of 5.4 cm Through R draw a line parallel to the given line.

In \(\Delta\)ABC, name the
a) Three sides: ______ , ______ , _______
b) Three Angles: ______ , ______ , _______
c) Three Vertices: ______ , _______ , _______

Classify the given triangles based on its angles as acute angled, right angled or obtuse angled.

I am a closed figure with each of my three angles is 60°. Who am I?

If one angle of an isosceles triangle is 124°, then find the other angles.

Which of the following statements is true? Why?
(a) Every equilateral triangle is an isosceles triangle.
(b) Every isosceles triangle is an equilateral triangle.

Classify the given triangles based on its sides as scalene, isosceles or equilateral.

Classify the following triangles based on its sides and angles.

What are the angles of an isosceles right angled triangle?

The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.

Is a triangle possible with the angles 90°, 90° and 0°? Why?

The angles of a right angled triangle are