Class VI
Chapter 10: Mensuration
Multiple Choice Questions (MCQ) (1 Mark)
1. The length of a rectangle is 150 cm. If its breadth is 1m, then its perimeter is
(a) 7 m (b) 5 m (c) 6 m (d) none of these
,
2. The side of a square is 8 cm. If its side is doubled, then its new perimeter is
(a) 64 cm (b) 81 cm (c) 121 cm (d) none of these
,
3. If the sides of a square are halved, then its area
(a) remains same (b) becomes half (c) becomes one fourth (d) becomes double
4. If the area of a square is 64 cm2 , then its perimeter is
(a) 25 cm (b) 32 cm (c) 15 cm (d) none of these
5. If the area of rectangle increases from 2 cm² to 4 cm² the perimeter will
(a) increase (b) decrease (c) remains same (d) none of these
6. How many carpets of dimensions 3m ×× 2m are required to cover the floor of a hall,
whose dimensions are 30 m ×× 12 m?
(a) 30 (b) 60 (c) 90 (d) 125
7. Two sides of a triangle are 5 cm and 4 cm respectively. The perimeter of the triangle is
12 cm. The length of the third side is ________.
(a) 1 cm (b) 2 cm (c) 3 cm (d)6 cm
8. A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A
border round the board is 2 cm wide. The length of the side of the chess board is
(a) 18 cm (b) 21 cm (c) 24 cm (d) 28 cm
9. The perimeter of an isosceles triangle with an equal side of length 4 cm and third side of
length 6 cm will be:
(a) 14 cm (b) 12 cm (c) 16 cm (d) 10 cm
10. The sides of a rectangle are in the ratio 5: 4. If its perimeter is 72 cm, then its length is
(a) 40 cm (b) 20 cm (c) 30 cm (d) 60 cm
Short Answer Questions I (SA I) (2 marks)
1. Find the perimeter of a rectangle whose length and breadth are 150 cm and 1 m
respectively.
2. A farmer has a rectangular field of length and breadth
220 m and 160 m respectively. He wants to fence it
with 3 rounds of rope as shown in figure. What is the
total length of rope he must use?
3. A room is 4 m long and 3 m 50 cm wide. How many
square metres of carpet are needed to cover the floor
of the room?
4. Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm.
What is its third side?
5. The lid of a rectangular box, with sides 40 cm by 10 cm, is sealed all around with tape.
What is the length of the tape required?
6. Find the coast of fencing a square park of side 250 m at the rate of Rs 20 per metre .
7. Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park
with a length of 60 m and a breadth of 45 m. Who covers less distance?
8. Split the shape into a rectangle and find its area. (The measures are
given in centimetres)
9. A bicycle wheel makes 500 revolutions in moving 1 km. Find the
diameter of the wheel.
10. Four regular hexagons are drawn so as to form the design as
shown in Fig. If the perimeter of the design is 28cm, find the
length of each side of the hexagon.
Short Answer Questions II (SA II) (3 marks)
1. Rakesh runs around a square park of side 70 m. Mukesh runs
around a rectangular park with length 60 m and breadth 45 m.
Who covers less distance?
2. A rectangular piece of land measures 0.7 km by 0.5 km. Each side is to be fenced with 4
rows of wires. What is the length of the wire needed?
3. 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?
4. The length and breadth of the 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?
5. The length and breadth of the three rectangles are as given below:
(i) 9 m and 6 m
(ii) 3 m and 17 m
(iii) 4 m and 14 m
Which one has the largest area and which one has the smallest?
Long Answer Questions (4 marks)
1. 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?
2. What will happen to the area of rectangle if its (i) Length and breadth are tripled (ii)
Length is doubled and breadth is same
3. A marble tile measures 10 cm × 12 cm. How many tiles will be required to cover a wall of
size 3 m × 4 m? Also, find the total cost of the tiles at the rate of Rs 2 per tile
4. Divide the park shown in Fig. into two rectangles.
Find the total area of this park. If one packet of
fertilizer is used for 300 sq m, how many packets of
fertilizer are required for the whole park?
5. A rectangular lawn, 75 m by 60 m, has two roads,
each road 4 m wide, running through the middle of
the lawn, one parallel to length and the other
parallel to breadth, as shown in the figure. Find the
cost of travelling the roads at Rs.50 per m2.
Case study based Questions (CCT Questions)(5 marks)
Kiran wants to find the area of the figure using area of rectangle. She splits the figure into four
rectangles and then she coloured the four rectangles with yellow, orange, green and grey
colour. (The measures are given in centimetres)
Class VI
Chapter 12: Ratio and Proportion Gn
G
O r
(i) Based on the above, answer the following questions
(ii) Find the area of orange colour. [ ]
(a) 2 cm2 (b) 9 cm2 (c) 8 cm2 (d) 10 cm2
(iii) Find the area of yellow colour. [ ]
(a) 2 cm2 (b) 9 cm2 (c) 8 cm2 (d) 10 cm2
(iv) Find the area of grey colour. [ ]
(a) 2 cm2 (b) 9 cm2 (c) 8 cm2 (d) 10 cm2
(v) Find the total area of the figure. [ ]
(a) 20 cm2 (b) 29 cm2 (c) 28 cm2 (d) 30 cm2
2. Ramesh cuts colour papers in different regular shapes. Length of each shape is 10cm.
Fill in the blanks:
(i) Perimeter of fig A is ________ Perimeter of fig B.
(ii) What is the perimeter of fig A?
a) 20 cm
b) 30 cm
c) 40 cm
d) 50 cm
(iii) What is the perimeter of fig C?
a) 30 cm
b) 60 cm
c) 40 cm
d) 50 cm
(iv) What is the difference in perimeter of fig A and fig D?
a) 20 cm
b) 10 cm
c) 40 cm
d) 30 cm
(v) State whether the given statement is True or False:
As the number of sides of regular figure increases the perimeter also increases.
a) True
b) False
