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Questions:

Generic 5

13 x 5 = 65

Two angles of the triangles are given. Find the third angle.
(i) 80°, 60°
(ii) 75°, 35°
(iii) 52°, 68°
(iv) 50°, 90°
(v) 120°, 30°
(vi) 55°, 85°

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

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?

The following bar graph shows the number of people visited Mahabalipuram over a period of 5
months.

Use the graph to answer the following questions
(a) How many people visited Mahabalipuram in April?
(b) How many more people visited Mahabalipuram in May than in January?
(c) In which month, were there as many visitors as on March?
(d) In which month were there 1500 more visitors than in January?
(e) How many visitors were there in 5 months?

Following are the choice of sports for 20 students of class VI.

Cricket	Football	Cricket	Tennis	Cricket
Badminton	Football	Cricket	Football	Tennis
Cricket	Badminton	Basketball	Football	Golf
Football	Hockey	Football	Hockey	Cricket

Arrange the names of sports in a table using tally marks.

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

Read the table and answer the following questions.

Name of the Star	Diameter (in miles)
Sun	864730
Sirius	1556500
Canopus	25941900
Alpha Centauri	1037700
Arcturus	19888800
Vega	2594200

(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.

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?

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?

10.

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?

11.

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

12.

Pick out the Acute angles from the given figures.

13.

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?

Generic 2

1 x 2 = 2

14.

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.

Generic 3

1 x 3 = 3

15.

Convert the following Tree diagrams into numerical expressions.

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Answers Key:

Generic 5

13 x 5 = 65

(i) 80°, 60°
The sum of 3 angles of triangle = 180°
Let A = 80° , B = 60° , C = ?
A + B + C = 180°
80° + 60° + C = 180°
= 180° - (80° + 60°)
C = 180° - 140° = 40°
Therefore third angle = 40°
(ii) 75°, 35°
The sum of 3 angles of triangle = 180°
Let A = 75°, B = 35°, C = ?
A + B + C = 180°
75° + 35° + C = 180°
= 180° - (75° + 35°)
C = 180° - 110° = 70°
Therefore third angle = 70°
(iii) 52°, 68°
The sum of 3 angles of triangle = 180°
Let A = 52°, B = 68°, C = ?
A + B + C = 180°
52 + 68 + C = 180°
= 180° - (52° + 68°)
C = 180° - 120° = 60°
Therefore third angle = 60°
(iv) 50°, 90°
The sum of 3 angles of triangle = 180°
Let A = 50°, B = 90°, C = ?
A + B + C = 180°
50° + 90° + C = 180°
= 180° - (50° + 90°)
C = 180° - 140° = 40°
Therefore third angle = 40°
(v) 120°, 30°
The sum of 3 angles of triangle = 180°
Let A = 120°, B = 30°, C = ?
A + B + C = 180°
75° + 35° + C = 180°
= 180° - (120°+ 30°)
C = 180° - 150 = 30°
Therefore third angle = 30°
(vi) 55°, 85°
The sum of 3 angles of triangle = 180°
Let A = 55°, B = 85°, C = ?
A + B + C = 180°
55° + 85° + C = 180°
= 180° - (55° + 85°)
C = 180° - 140°= 40°
Therefore third angle = 40°

1.	Milk Khoa \(\Rightarrow\) 5 \(\times\) Rs. 40	= Rs. 200
2.	Butter Milk \(\Rightarrow\) 5 \(\times\) Rs. 8	= Rs. 40
3.	Milk \(\Rightarrow\) 6 \(\times\) Rs. 25	= Rs. 150
4.	Ghee \(\Rightarrow\) 5 \(\times\) Rs 40	= Rs. 200
	Total	= Rs. 590

CASH BILL AAVIN PARLOUR, COIMBATORE
Bill No. 160 Date : 25.06.2018
Sl. No.	Items	Rate (in Rs.)	Quantity (packets)	Amount (in Rs.)
1.	Milk Khoa	40/packet	5	200
2.	Butter milk	8/packet	5	40
3.	Milk	25/packet	6	150
4.	Ghee	40/packet	5	200
	Total			590

This is a LCM related sum. So, we need to find the LCM of 15, 20, 25 and 30.

The LCM of 15, 20, 25 and 30 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5 \(\times\) 5
= 300 minutes = 5 \(\times\) 60 minutes = 5 \(\times\) 1 hour = 5 hours
Thus, the four Mobile Phones will ring together again at 10.00 a.m.

(a) 3500 people visited Mahabalipuram in April
(b) 500 more people
(c) January
(d) April
(e) 11,500 people

There are 12 straight lines used which is minimum.

(i) Indian System :Two crore fifty nine lakh forty one thousand nine hundred
International System : Twenty five million nine hundred forty one thousand nine hundred
(ii) 5,50,500
(iii) Eighty six crore forty lakh seven hundred thirty
(iv) Ninteen million eight hundred eighty eight thousand eight hundred
(v) Indian System : 60,53,100 - Sixty lakh fifty three thousand one hundred
International System : 6,053,100 - Six million fifty three thousand one hundred

(i) Yes
(ii) 5
(iii)

Sums are 17, 19, 20, 21 and 23.

1 picture represents 10 vehicles
(i) There were 9 × 10 = 90 motor cycles sold.
(ii) True.
(iii) There were 4 × 10 = 40 bicycles sold.
(iv) There were 7 cars and 3 vans pictures. Therefore 70 + 30 = 100 cars and vans sold.
(v) There were 7 cars, 3 vans, 9 motor cycles, 2 buses and 4 bicycles sold. Therefore, 70 + 30 + 90 + 20 + 40 = 250 vehicles sold.

10.

Number of green cubes = 3
Number of blue cubes = 9
Number of yellow cubes = 4
Number of orange cubes = 8
(a) Ratio of orange to yellow cubes = \(\frac { Number\ of\ orange\ cubes }{ Number\ of\ yellow\ cubes } \)
=\(\frac { 8 }{ 4 } =\frac { 2 }{ 1 } \) = 2 : 1
Ratio of orange to yellow cubes = 2 : 1
(b) \(\frac { Number\ of\ green\ cubes }{ Number\ of\ blue\ cubes } =\frac { 3 }{ 9 } =\frac { 1 }{ 3 } \)
Ratio of green to blue cubes = 1 : 3
(c) The ratios can be Orange:
Yellow, Orange: blue, Orange: green, Yellow: orange, yellow: blue, yellow: green, blue: green, blue: orange, blue: yellow, green: orange, green: yellow, green: blue. Thus 12 ratios can be formed.
i.e., the possiblity of forming the different ratios
3 : 9, 3 : 4, 3 : 8
9 : 3, 9 : 4, 9 : 8
4 : 3, 4 : 9, 4 : 8
8 : 3, 8 : 9, 8 : 4

11.

(i) Length of wire = '12 s' cm
Sum of 3 sides of equilateral triangle = '12 s'
3 \(\times\) side = 12 s
The length of a side = \(\frac{12 \mathrm{~s}}{3}=\) '4 s' cm
(ii) Sum of 4 sides of square = '12 s'
The length of a side = \(\frac{12 \mathrm{~s}}{4}=\) '3 s' cm

12.

(i), (ii) and (iii) are acute angles

13.

According to the given statement,

This can be written as, x – 6 gives 10, where ‘x’ denotes the unknown number. Now, we will find out for what value of ‘x’, x − 6 gives 10.

Value of ‘x’ Yes/No	x − 6	Result	Is it 10?
7	7-6	1	No
10	10-6	4	No
12	12-6	6	No
15	15-6	9	No
16	16-6	10	Yes
18	18-6	12	No

Hence, the unknown number (variable) ‘x’ takes the value 16.

Generic 2

1 x 2 = 2

14.

(i) Nearly 3,00,000 students are going to appear for the Public Examination this year.
(ii) A discount of Rs 1,00,00,000 will be allowed to the formers
(iii) 4,62,790 students have benefited by scholarships.

Generic 3

1 x 3 = 3

15.

i) Numerical expression is 9 \(\times\)8
ii) Numerical expression is (7 + 6) - 5
iii) Numerical expression is (8 + 2) - (6 + 1)
iv) Numerical expression is (5 \(\times\) 6) - (10 \(\div\) 2)