Read and expand the number 50000, 676097

The number of employees in the Indian Railways is about 10 lakh. Write this in the International System of numeration

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.

Rectangle	P	Q	R	S	T
Number of small size squares along the breadth	2	2	?	2	2
Number of squares along the length	1	4	3	?	x
Total number of squares in rectangle	?	8	?	10	?

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

Across	Down
x + 40 gives 100	x is 1005 multiplied by 6
7 reduced from t gives 31	t ÷ 7 = 5
z is 5 added 5 times	p is the predecessor of first 3 digit number
v is the whole number zero plus number of days in a ordinary year	z is the number of weeks in a year (digits reversed)
k is 24 added to 25	k is 11 times 4
u is 2 added to two times 11 gives the number of hours in a day	u is product of 23 and 9
a is 20 more to 40	a is 4 added to the product of 12 and 5
s minus 1 gives 246 is the number of letters in Tamil language	m is the successor of 9

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

(i) How many smallest squares are there in each of the rectangles P, Q, Rand S?
(ii) Fill in the boxes

Rectangles	P	Q	R	S	T
Number of small size squares along the breadth	2	2	?	2	2
Number of squares along the length	1	4	3	?	X
Total number of squares in rectangle	?	8	?	10	?

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

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?

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.

From the given figure, name
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) pair of lines whose point of intersection is ‘V’.
(iv) point of intersection of the lines ‘ l₂’ and ‘l₃’.
(v) point of intersection of the lines ‘l₁’ and ‘l₅’.

Pick out the Obtuse angles from the given figures.

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 heights (in centimeters) of 40 children are.
110 112 112 116 119 111 113 115 118 120
110 113 114 111 114 113 110 120 118 115
112 110 116 111 115 120 113 111 113 120
115 111 116 112 110 111 120 111 120 111
Prepare a tally mark table.

Ragavi's father is a mobile shop owner. She finds the following data of sale of mobiles in a week.

Day	Number of Mobiles sold
Monday	50
Tuesday	45
Wednesday	40
Thursday	20
Friday	35
Saturday	30
Sunday	55

Draw a vertical and horizontal bar graph

The above bar graph shows the number of students in different classes of a school. Read the graph and answer the following questions.
(a) How many students are in class X?
(b) How many students are in class VII?
(c) How many students are in class IX?

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?

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

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?

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.

Station	Arrival	Departure
Chennai Egmore	-	20:30
Chengalpattu	21:30	21:32
Villupuram junction	23:15	23:25
Virudhachalam junction	00:07	00:10
Trichy	04:30	-

(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.

Fill up the appropriate boxes in the following table:

	C.P.	S.P.	Profit	Loss
(i)	Rs. 50	Rs. 60
(ii)	Rs. 70	Rs. 60
(iii)	Rs. 100		Rs. 20
(iv)	Rs. 80			Rs.15
(v)		Rs. 70	Rs. 25
(vi)		Rs. 100		Rs. 30

Complete the following table.

Sl. No	C.P. in Rs.	M.P. in Rs	S.P. in Rs.	Discount in Rs.	Profit in Rs.	Loss in Rs.
i	110	130		5
ii	110	130		20
iii		130		15	30
iv		130		Nil		25
v		125		Nil	Nil	Nil
vi			350	50	100	Nil

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°

Complete the following table :

Types of Triangle /Its Angles	Acute angled triangle	Right angled triangle	Obtuse angled triangle
Any two angles	Always acute angles	i.	Always acute angles
Third angle	ii.	Right angle	iii.

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)

Use brackets in appropriate place to the expression 3 \(\times\) 8 − 5 which gives 19 and convert it into tree diagram for it.

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 : \(7{2\over7}-3{4\over 21}\)

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.

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.

Find the perimeter and area of the following shapes

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?

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.

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

Prepare a daily time schedule for evening study at home

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