Multiple Choice Questions
1. 1m2=______cm2
a. 100000 b. 10000 c. 1000 d. 100
2. 25cm2=______mm2
a. 2500 b 250 c 0.25 d 0.0025
3. The area of a square is 256 sq.cm, its side is:
a.64cm b.128 cm c. 2.56cm d. 16cm
4. The area of a parallelogram whose base 8cm and altitude 6cm is:
a. 24cm2 b.34cm2 c. 48 cm2 d. 58 cm2
5. If the base of a triangle is twice its altitude and the altitude is 2x then the area of a triangle is:
a. 2x2 sq.cm b.4x2sq.cm c. 6x2sq.cm d. 8x2sq.cm
6. The difference between the length and breadth of a rectangle is 5m.If its perimeter is 50m its area is:
a. 50m2 b. 15m2 c. 10m2 d. 150m2
7. Thearea of aparallelogram is 36y2 m2 ,if its base is 6y m ,height is :
a. 6y2m b . 6y m c. 3y2 m d. 3y m
8. Ifthe area of a parallelogram is 81 cm2 and its altitude is 9 cm then the parallelogram is a:
a. rectangle b. rhombus c. square d. none of these
9.The area of a right angled triangleis:
a. base x perpendicular b.2 xbase x hypotenuse c. d. none of these
10.The area of a rhombus is 98cm2 and its perimeter is 28 cm its altitude is:
a. 3.5cm b. 14 cm c.7cm d. 10cm
11. The two equal sides of a right angled triangle are 18 cm each its area is:
a. 324m2 b. 162 m2 c. 0.324m2 d. 0.0162m2
12. The area of an equilateral triangle with side 8cm is:
a. 32cm2 b. 27.712cm2 c. 48 cm2 d. 13.86cm2
13. Theperimeter of a rectangular plot of land whose area is 221m2 and length 17m is:
a. 170m b. 110m c. 60m d. 120m
14. Circumference of a circle whose radius 3x2 is:
a. b 2 c 42 d 62
15 Circumference of a circle of radius 7cm is:
a. 40cm b. 42cm c. 44cm d. 46cm
16. Area of a circle of radius 4x3is:
a. 166 b42 c 86 d none of these
17. A circular flower garden has an area of 314m2 ,a sprinkler at the centre of the garden can
cover an area that has a radius of 11m .Will the sprinkler water the entire garden?
a. yes b. no c. can’t say d . none of these
18.The ratio of circumference to the diameter is a constant.The name of this constant is:
a. alpha b. beta c. pie d. sigma
19.The ratio of the diameters of two circles is 4:10 .The ratio of their circumference is:
a. 2:5 b. 4:10 c. 16:100 d. 8:20
20 . The area of a quadrant circle is 38.5cm2 its radius is :
a. 4 cm b. 14cm c. 7cm d. 22cm
21. The area of a semicircle whose radius 2r is:
a. b c.2 d 4
22. The minute hand of a circular clock is 13.3 cm long .The distance travel by the tip of the hand in
one hour is:
a 92.6cm b. 83.6 cm c.26.6cm d. 292.6cm
23. Two circles are said to be concentric if they have same:
a. radius b. circumference c. area d. centre
24. A square of area 1m2is cut out from one corner of a larger rectangle with length 10cm, breadth 6cm.
The perimeter of the remaining portion is:
a. 16cm b. 30cm c. 32cm d. 34cm
25. The magnitude of a plane region enclosed by a simple closed figure is:
a. area b. perimeter c. boundary d. circumference
26. The length of a rectangle is halved and its breadth is tripled the percentage change in its area is:
a. 15% increase b. 50% increase c. 15% decrease d. 50% decrease
27. A piece of wire is in the form of a rectangle with dimensions 12m by 10m is bent to form a circle.
The diameter of the circle is:
a. 14m b. 7m c. 44m d.16m
28.The area of a circular plot is 1386m2 its circumference is:
a. 132cm b.100 cm c.121cm d. 441cm.
29. The diameter of a protractor is 14cm its perimeter is:
a. 22cm b. 28cm c. 36cm d. 11cm
30. The diameter of a wheel of a cycle is 70cm. It moves slowly along the road. The distance covered
after 24 complete revolutions is:
a. 4900cm b. 5280cm c.220cm d. 576cm
Each Question Carries 2 Marks
1. The area of a rectangular sheet is 500 cm2 .If the length of the sheet is 25 cm ,what is its width.
Also find its perimeter.
2. The length of a square garden is 35cm.What distance will a man walk going around it three times?
3. What is the base of a parallelogramif itsarea is 48.72 cm2 and its height is 8.4cm?
4. In a parallelogram the altitude is twice the length of the base. Its area is 450 cm2. Find the base and
altitude.
5. A floor measuring 2m by 1.5m is to be covered with square tiles, each side measuring 25 cm square
how many tiles will be needed ?
6. Calculate the area of a right angled triangle in square meters in which two sides containing right
angle measure 3.2m and 150cm .
7. A piece of cloth is in the shape of a triangle whose base is 60m and altitude is 15m .Find the cost of
printing a pattern over it at the rate of Rs 1.50 per m2.
8. A wire is in the shape of a rectangle .Its length is 40cm and breadth 22cm.If the same wire is rebent
in the shape of a square ,what will be the measure of each side?
9. Find the area of a quadrilateral ABCD given in the adjoining figure .The diagonals BD and AC
measure 68m and 30m respectively and are perpendicular to each other. D
A C
B
10. The base and height of a triangle are in the ratio 3:4 and its area is 96 cm2. Find the
base and height.
11. The perimeter of a right triangle is 12cm. Its hypotenuse is 5cm and base is 4cm.Find the area of the
triangle.
12 Find the cost of polishing a circular table top of diameter 1.6m if the rate of polishing is Rs15
per sq.m .
13. The area of a circle is 154cm2 .Find its diameter.
14. A circle is inscribed in a square of side 28cm. Find the area of the circle.
15. In the adjoining figure of radius 3.5cm, find the perimeter of the quarter circle
.
16. Find the distance covered by a wheel of a bus in 2000 rotations if the diameter of the wheel
is 98cm.
17. Find the area of a circular park whose circumference is 264 m.
18. A piece of wire is bent in the shape of an equilateral triangle of each side is 6.6m.It is rebent to
form a circular ring . What is the diameter of the ring?
(Take π = 3.14)
19. The areas of two circles are in the ratio 49:64. Find the ratio of their circumference.
20. A garden is 90 m long and 75 m broad. A path 5m wide is to be built outside all around its
boundary. Find the area of the path.
Each Question Carries 3 Marks
1. The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30cm, find its length?
Also find the area of the rectangle.
2. Karishma bought a bed sheet 2.25m long and 1.75m wide.She wanted to put lace around it. How
many meters of lace would she has to buy? Also find how much the lace would cost if it costs
Rs14.50 per meter?
3. DL and BM are the heights on the side AB and AD respectively of parallelogram ABCD.
If the area of the parallelogram is 1470 cm2 ,AB=35cm and AD=49 cm
Find the length of BM and DL.
4. A rectangular grassy lawn measuring 30m by 28m is to be surrounded externally by a path
which is 2m wide .Find the area of the path.
5. Find the area of the shaded region.
6In the adjoining figure, find the area of the parallelogramPQRS, if PR=24cm, and SX=QY=8cm.
7. A race track is in the form of a ring whose inner and outer circumferences are 88m and 132 m.
Find the width of the track
8. The diameter of a circular park is 66m. On its outside there is a 4m wide path, running around it
Find the cost of turfing the path at Rs2.50 per sq.m.
9. A rectangular field is 24m long and 15m wide. How many triangular flower beds each of base 3m
and altitude 4m can be laid in this field?
10. A rectangular lawn is 30m by 20m.It has two roads each 2m wide running in the middle if it,
one parallel to the length and the other parallel to the breadth. Find the area of the roads.
11. TriangleABC is isosceles with AB=AC=7.5cm and BC=9cm. The height AD from
A to BC is 6 cm. Find thearea of triangleABC. What will be the height from
C to AB ie, CE?
12. Shazli took a wire of length 44cm and bent in to the shape of a circle. Find the radius
of the circle. Also find its area. If the same wire is bent in to the shape of a square, what will be the
length of each side? Which figure encloses more area, the circle or the square?
(Take π=)
13. Pragya wrapped a cord around a circular pipe of radius 4 cm and cut off the length require of
the cord .Then she wrapped it around a square box of side 4cm. Did she have any cord left?
.
14. The ratio of two adjacent sides of a parallelogram is 2:3. Its perimeter is 50cm.Find its area if
altitude corresponding to larger side is 10cm.
15. Find the area of the floor in Rahul’s bedroom.
16. The floral design on the floor of a building consists of 2800 tiles .Each tile is in the shape of
a parallelogram of altitude 3cm and base 5cm .Find the cost of polishing the design at the rate
of Rs 25 per m2.
17. A door of length 2m and breadth 1m is fitted in a wall. The length of the wall is 4.5m and breadth
is 3.6m .Find the cost of white washing the wall ,if the rate of white washing the wall is Rs 20
per m2
18. A picture is painted on a cardboard 8cm long and 5cm wide such that there is a margin of 1.5cm
along each of its sides. Find the total area of the margin.
19. One side of a parallelogram is 20cm and the corresponding altitude is 12 cm. Find the length
of the adjacent side of the parallelogram if the height of the altitude to the adjacent side is10cm
20. Find the area of the shaded portion:
Each Question carries 4 marks
1. Through a rectangular field of sides 90m x60m, two roads are constructed which are parallel
to the sides and cut each other at right angles through the centre of the field. If the width of the
roads is 3m , find the total area covered by the two roads.
2. A circular pond has a 90m wide footpath along its edge. A man walks around the outer edge of
the footpath with 66cm long steps. In 400 steps he makes a full round. What is the radius of
the pond ?
3. Semi circular lawnsare attached to both edges along the breadth of a rectangular lawn
measuring 56m by 35m. Find the total area enclosed.
4. The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find
a) the area of the whole land b) the area of the flower bed
c) the area of the lawn excluding the area of the flower bed
d) the circumference of the flower bed
5. A rectangular sheet of acrylic is 36cm by 24cm. From it 64 circular buttons ,each of diameter
3 cm have been cut out .Find the area of the remaining sheet.
6. Two cross roads, each of width 10m, cut at right angles through the centre of a rectangular
park of the length 700m and the breadth 300m and parallel to its sides. Find the area of the
roads. Also find the area of park excluding the roads.
7. Two corner of a paper sheet are cut off. What is the area of the remaining paper?
8. From a circular card sheet of radius 14cm, two circles of radius 3.5cm and a rectangle of
length 3cmand breadth 1cm are removed . Find the area of the remaining sheet.
9. The length and breadth of a rectangular park are in the ratio 8:5. A path 1.5m wide, running all
around the outside of the park has an area of 594 m2.Find the dimensions of the park.
10. The diameters of the three circles in the adjoining figure are 21cm, 14cm and 7cm. What is the
area of the shaded region?
ANSWERS
MULTIPLE CHOICE QUESTIONS
1. b 2. a 3. d 4. c 5. b 6. d 7. a 8. c 9. c 10. b
11. d 12. b 13. c 14. d 15. c 16. a 17. a 18. c 19. b 20. c
21. c 22. b 23. d 24. c 25. a 26. b 27. a 28. a 29. c 30. b
2 MARK QUESTIONS
1. 20 cm, 90cm 2. 420m 3 . 5.8cm 4. 15cm, 30cm 5. 48
6. 2.4m2 7. Rs 675 8. 31cm 9. 1020m2 10. 12cm, 6cm
11. 6 cm2 12. Rs 1178.55 13. 14cm 14. 616 cm2 15. 12.5cm
16. 6160 m 17. 5544 m2 18. 6.3 m 19. 7:8 20. 1750 m2
3 MARK QUESTIONS
1. 35cm, 1050 cm2 2. 8m, Rs 116 3. 30cm, 42cm 4. 248 m2
5. 800 cm2 6. 192 cm2 7. 7m 8. Rs 2200 9. 60 10. 96m2
11. 27 cm2 , 7.2cm 12. 7cm, 154 cm2, 11cm,circle 13. 9.12cm
14. 150 cm2 15. 79 m2 16. Rs 105 17. Rs 284 18. 30 cm2
19. 24cm 20. 131 m2
4MARK QUESTIONS
1. 441m2 2. 41.1m 3. 3656m2 4. (a)50m2 (b) 12.56m2 (c) 37.44m2
(d)12.56m 5. 411.43 cm2 6. 200,100m2 7. 940cm2 8. 536 cm2
9. 120m, 75m 10. 154 cm2