CDS Math: Preparation, Topic wise weightage, Sample Questions

Arithmetic:

1. Question: If the sum of three consecutive integers is 72, find the integers.
2. Question: A train moves 300 km in 4 hrs. What is its average speed?
3. Question: If the cost of 5 pens is Rs. 60, what is the cost of 8 pens?

Algebra:

4. Question: Solve for x: $3x-7=14$ .
5. Question: If $a+b=15$ and $a-b=5$ , find the values of a and b.
6. Question: Factorize the expression: �2−4 x 2 − 4 .

Geometry:

7. Question: In a parallelogram, the measure of one angle is 60∘ 6 0 ∘ . Determine the measures of the remaining three angles.
8. Question: The perimeter of a rectangle is 30 cm, and its length is twice the breadth. Find the length and breadth.
9. Question: Calculate the area of a circle with a radius of 5 cm.

Trigonometry:

10. Question: If tan⁡�=34 tan A = 4 3 ​ , find $\sin A$ .
11. Question: Solve for $\theta$ : $2\cos \theta =1$ .
12. Question: If sin⁡2�+cos⁡2�=1 sin 2 A + cos 2 A = 1 , find the value of tan⁡2� tan 2 A .

Mensuration:

13. Question: Find the total surface area of a cube with a side length of 6 cm.
14. Question: The base of a triangular prism is an equilateral triangle with side length 8 cm, and the height of the prism is 10 cm. Find its volume.
15. Question: The diameter of a sphere is 14 cm. Calculate its volume.