Chemical Effects of Electric Current
Some Natural Phenomena
Force and Pressure
Pollution of Air and Water
Cell Structure and Functions
Crop Production and Management
Friction
Reproduction in Animals
Synthetic Fibres and Plastics
Coal and Petroleum
Combustion and Flame
Reaching the Age of Adolescence
Conservation and Flame
Light
Materials: Metals and Non-Metals
Microorganisms: Friend and Foe
Sound
Stars and the Solar System
Conservation of Plants and Animals

Algebraic Expressions and Identities
Data Handling
Direct and Inverse Proportions
Linear Equations in One Variable
Visualising Solid Shapes
Introduction to Graphs
Understanding Quadrilaterals
Factorisation
Cubes and Cube Roots
Comparing Quantities
Practical Geometry
Rational Numbers
Squares and Square Roots
Exponents and Powers
Mensuration
Playing with Numbers

Mensuration

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Q 1. The area of a square whose perimeter is 16cm is

64 cm^{2}

16 cm^{2}

32 cm^{2}

128 cm^{2}

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Q 2. A rectangular field has dimensions of 72m and 65m. The area of the field is

4680 m^{2}

4400 m^{2}

4880 m^{2}

4360 m^{2}

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Q 3. The area of a right angled triangle, whose base is 8cm and hypotenuse is 10cm, is :

40 cm^{2}

48 cm^{2}

24 cm^{2}

80 cm^{2}

Other side is 6cms using pythagorean theorem. Hence Area = 1/2 * Base * Height =1/2 * 8 * 6 = 24cm^2

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Q 4. Two parallel sides of a trapezium are of lengths 16 cm and 10cm and the distance between them is 8 cm. Area of the trapezium is

104 cm^{2}

208 cm^{2}

52 cm^{2}

1280 cm^{2}

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Q 5. Two parallel sides of a trapezium are of lengths a cm and b cm and distance between them is d cm. The area of the trapezium is given by :

(a + b) {tex}\times{/tex} d cm^{2}

{tex}\frac{1}{2}{/tex}(a + b) {tex}\times{/tex} d cm^{2}

2(a + b) {tex}\times{/tex} d cm^{2}

none of these

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Q 6. The area of a trapezium of height 4 cm is 16 cm^{2}. If one of the parallel sides is 4 cm, the other side will be

8 cm

2 cm

3cm

4 cm

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Q 7. In a trapezium, sum of two parallel sides is 20 cm and distance between them is 5cm. Its area is:

100 cm^{2}

50 cm^{2}

25 cm^{2}

200 cm^{2}

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Q 8. The volume of a cube whose edge is 5a is :

25 a^{3}

125 a^{2}

150 a^{2}

125 a^{3}

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Q 9. The volume of a cuboid whose length, breadth and height are 2a, 3b and 4c is :

6 abc

24 abc

48 abc

none of these

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Q 10. The volume of a cuboid whose length, breadth and height are in the ratio of 3 : 1 : 2 is

8 {tex}\times{/tex} breadth^{3}

8 {tex}\times{/tex} length^{3}

6 {tex}\times{/tex} breadth^{3}

length {tex}\times{/tex} breadth

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Q 11. The volume of a water tank is 3 m^{3}. Its capacity in litres is :

30

300

3000

none of these

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Q 12. The capacity of a cubical mug is 1 lit. The length of its edge is :

1 cm

10 cm

1 m

none of these

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Q 13. The surface area of an open box whose length, breadth and height are l, b and h respectively, is :

2(lb + bh + hl)

2(lb + bh) + hl

2(bh + hl) + lb

2(lb + hl) + bh

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Q 14. Two cubes each of edge 5 cm are joined end to end. The surface area of the resulting cuboid is:

125 cm^{2}

240 cm^{2}

250 cm^{2}

500 cm^{2}

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Q 15. If the ratio of the surface area of two cubes is 1 : 9, then the ratio of their volumes will be

1 : 9

1 : 27

1 : 36

1 : 18

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Q 16. Surface area of a cube is 150m^{2}. The length of its length is

5m

10m

15m

6m

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Q 17. The total surface area of a cylinder whose height is twice the radius, 'r' is

8{tex}\pi^2{/tex}

36{tex}\pi^2 r{/tex}

6{tex}\pi r^2{/tex}

81{tex}r^2{/tex}

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Q 18. Radius of a cylinder is x cm and its height is 2x cm. Its volume is :

{tex}\pi{/tex}x^{3}cm^{3}

2{tex}\pi{/tex}x^{3}cm^{3}

3{tex}\pi{/tex}x^{3}cm^{3}

4{tex}\pi{/tex}x^{3}cm^{3}

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Q 19. The ratio of radii of two cylinders is 1 : 2. If the ratio of their heights is 2 : 1, then the ratio of their volume will be

1 : 2

1 : 4

2 : 1

4 : 1

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Q 20. If the height of a cylinder is equal to the radius of its base, then the curved surface area of the cylinder is:

2{tex}\pi{/tex}r

2{tex}\pi{/tex}r^{3}

{tex}\pi{/tex}r^{2}

2{tex}\pi{/tex}r^{2}

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Q 21. If the base of a triangle is doubled and height is halved, its area will be

Doubled

Halved

One-fourth

Same

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Q 22. The area of square, whose diagonal is 12 cm, will be

144 cm^{2}

72 cm^{2}

36 cm^{2}

48 cm^{2}

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Q 23. The ratio of the areas of a square and a rectangle of length 4 cm and width 3 cm is 4 : 3. The side of the square will be

4 cm

3 cm

12 cm

9 cm

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Q 24. The adjacent sides of a parallelogram are 4 cm and 12 cm. The distance between the longer sides is 6 cm. The distance between the shorter sides will be

2 cm

14 cm

18 cm

8 cm

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Q 25. The diagonals of a rhombus are 9 cm and 6 cm. Its area will be

54 cm^{2}

27 cm^{2}

108 cm^{2}

216 cm^{2}

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