Archives

(a) Write four negative integers greater than – 20. (b) Write four integers less than – 10.

Solution (a) -19, -8, -11, -4 are the negative integers greater then -20 (b) -17, -15, -21, -19 are the integers less than -10... View Article

In each of the following pairs, which number is to the right of the other on the number line? (a) 2, 9 (b) – 3, – 8 (c) 0, – 1 (d) – 11, 10 (e) – 6, 6 (f) 1, – 100

Solution (a) 9 lies to the right on the number line because 9 > 2 (b) – 3 lies to the right on the number line because - 3 >... View Article

Following is the list of temperatures of five places in India on a particular day of the year. Place Temperature Siachin 10°C below 0°C …………….. Shimla 2°C below 0°C …………….. Ahmedabad 30°C above 0°C …………….. Delhi 20°C above 0°C …………….. Srinagar 5°C below 0°C …………….. (a) Write the temperatures of these places in the form of integers in the blank column. (b) Following is the number line representing the temperature in degree Celsius. Plot the name of the city against its temperature. (c) Which is the coolest place? (d) Write the names of the places where temperatures are above 10°C.

Solution: (a) Siachin – 100 C Shimla – 20 C Ahmedabad + 300 C Delhi + 200 C Srinagar – 50 C... View Article

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points: (a) If point D is + 8, then which point is – 8? (b) Is point G a negative integer or a positive integer? (c) Write integers for points B and E. (d) Which point marked on this number line has the least value? (e) Arrange all the points in decreasing order of value.

Solution: (a)If point D is +8, then point F is -8 (b) Point G is a negative integer (c) Point B is 4 and point E is – 10 (d) The... View Article

Represent the following numbers on a number line: (a) + 5 (b) – 10 (c) + 8 (d) – 1 (e) – 6

Solution: (a) Representation of + 5 on the number line is shown below (b) Representation of -10 on the number line is shown below (c)... View Article

Represent the following numbers as integers with appropriate signs. (a) An aeroplane is flying at a height two thousand metre above the ground. (b) A submarine is moving at a depth, eight hundred metre below the sea level. (c) A deposit of rupees two hundred. (d) Withdrawal of rupees seven hundred.

Solution: (a) An aeroplane is flying at a height of two thousand metres above the ground: + 2000 m (b) A submarine is moving at a depth,... View Article

Write opposites of the following: (a) Increase in weight (b) 30 km north (c) 80 m east (d) Loss of Rs 700 (e) 100 m above sea level

Solution: (a)The opposite of increase in weight is: decrease in weight (b) The opposite of 30 km north is: 30 km south (c) The opposite of 80... View Article

How many tiles whose length and breadth are 12 cm and 5 cm, respectively will be needed to fit in a rectangular region whose length and breadth are respectively? (a) 100 cm and 144 cm (b) 70 cm and 36 cm

We know that area of rectangle is given by Area of rectangle = length × width (a)Area of rectangle = 100 × 144 = 14400 cm Area of... View Article

Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

Solution: (a) Total area of the figure = 12 × 2 + 8 × 2 = 40 cm2 (b) There are 5 squares. Each side is 7 cm Area of 5... View Article

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

Solution: (a) Area of yellow region = 3 × 3 = 9 cm2 Area of orange region = 1× 2 = 2 cm2 Area of grey region = 3 × 3... View Article

Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Given length of piece of land = 5m breadth of piece of land = 4 m Side of flower bed=1m Find out We have to determine the area of... View Article

A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Given length of floor = 4m breadth of floor = b = 3 m 50 cm = 3.50 m Find out We have to determine the area of the floor that is... View Article

A room is 4 m long and 3 m 50 cm wide. Howe many square metres of carpet is needed to cover the floor of the room?

Given length of carpet = 4m breadth of carpet = b = 3 m 50 cm = 3.50 m Find out We have to determine the area in square meters Solution We... View Article

A table top measures 2 m by 1 m 50 cm. What is its area in square metres?

Given length of table top = 2m breadth of table top = 1m 50 cm = 1.50 m Find out We have to determine the area in square meters Solution We... View Article

What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of ₹ 8 per hundred sq m.?

Given Length of the rectangle= 500 m Breadth of rectangle= 200 m Find out We have to determine the cost of tiling the rectangular plot... View Article

The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.

Given Length of the rectangle= 50 m Area of rectangle= 300 sq m Find out We have to determine the width of rectangle Solution We know that... View Article

The length and breadth of three rectangles are as given below: (a) 9 m and 6 m (b) 17 m and 3 m (c) 4 m and 14 m Which one has the largest area and which one has the smallest?

Solution We know that Area of rectangle is given by = length x breadth (a) Given that Length= 9m Breadth =6m Area of rectangle... View Article

M	T	W	T	F	S	S
						1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31