Class 9
Mathematics.

Test your mathematical reasoning, algebra, geometry, and problem-solving skills with this challenging diagnostic assessment.

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📐 10 Questions ⏱️ About 20 Minutes 🧠 Problem Solving

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1. If x + 1/x = 5, what is the value of x² + 1/x²? A. 15 B. 23 C. 25 D. 27

2. The point (−3, 4) lies in which quadrant of the Cartesian plane? A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant

3. Which of the following is a factorisation of x² − 7x + 12? A. (x − 2)(x − 6) B. (x + 3)(x + 4) C. (x − 3)(x − 4) D. (x − 1)(x − 12)

4. Two angles of a triangle are 2x° and 3x°. The third angle is 30°. Find x. A. 20° B. 25° C. 30° D. 35°

5. A number is selected at random from 1 to 20. What is the probability that it is a prime number? A. 1/5 B. 2/5 C. 1/2 D. 3/5

6. The sides of a triangle are 5 cm, 12 cm, and 13 cm. What is its area? A. 25 cm² B. 30 cm² C. 60 cm² D. 65 cm²

7. If (x − 2) is a factor of x² + kx − 6, what is k? A. −1 B. 0 C. 1 D. 2

8. A cylinder has radius 3 cm and height 7 cm. What is its volume? Use π = 22/7. A. 66 cm³ B. 99 cm³ C. 198 cm³ D. 216 cm³

9. The mean of five numbers is 18. Four numbers are 12, 15, 20, and 21. What is the fifth number? A. 18 B. 20 C. 22 D. 24

10. The diagonals of a parallelogram are 2x + 8 cm and 4x − 2 cm. If they bisect each other, what is x? A. 3 B. 4 C. 5 D. 6

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