CBSE Class 9 Mathematics Sample Paper Set 23

1. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is—

2. A cuboids having surface areas of 3 adjacent faces as a, b and c has the volume -----

3. Each edge of a cube is increased by 40%. The % increase in the surface area is----

4. In a class, there are x girls and y boys, a student is selected randomly, then probability of selecting boy is -------

5. The probability of an event is always ---------- to 1

6. If the areas of three adjacent faces of a cuboids are X, Y and Z. If its volume is V, prove that V2 =XYZ

7. A rectangular piece of paper is 22cm long and 12cm wide. A cylinder is farmed by rolling the paper along its length. Find the volume of the cylinder.

8. A rectangle take measuring 5m by 4.5m by 2.1m is dug in the centre of a field 25m by 13.5m. The earth dug out is spread evenly over the remaining portion of the field. How much is the level of the field raised?

9. Construct a triangle ABC in which BC = 7cm <B = 75° and AB+AC=9cm Or. Construct a triangle XYZ in which < y = 30° < Z = 90° and XY +YZ + ZX =11cm

10. If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

11. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm. Find the length of the common chord.

12. Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

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