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Kerala Talent Olympiad

Kerala Talent Olympiad Exam - Class 9 Sample Questions

Below are 50 sample multiple-choice questions based on the Class 9 syllabus, covering Class 8 topics and the first two chapters of Class 9.

1. Which of the following is a rational number between $3/4$ and $5/6$?

2. The additive inverse of $-5/7$ is:

3. On the number line, where does $-2/3$ lie relative to 0 and $-1$?

4. Solve for $x$: $2x + 5 = 11$.

5. If the cost of 3 pens is ₹15, how much will 5 pens cost?

6. The solution to $3(x - 2) = 9$ is:

7. The opposite angles of a parallelogram are:

8. In a square, the measure of each interior angle is:

9. A quadrilateral with only one pair of parallel sides is called a:

10. To construct a quadrilateral, the minimum number of measurements required is:

11. In constructing a triangle, which set of measurements is sufficient?

12. A quadrilateral can be constructed uniquely if we know its:

13. In a histogram, the height of each bar represents:

14. The probability of getting a head when tossing a fair coin is:

15. A bar graph is used to represent:

16. The square root of 144 using prime factorization is:

17. Which number is a perfect square?

18. The square of 15 is:

19. The cube root of 27 is:

20. Which number is a perfect cube?

21. The cube of 4 is:

22. A shopkeeper sells an item for ₹1200 with a 20% profit. The cost price is:

23. The simple interest on ₹5000 at 5% per annum for 2 years is:

24. A discount of 10% on an item of ₹1000 results in a selling price of:

25. Simplify $(2x + 3)(x + 2)$ using the identity $(a + b)(c + d)$.

26. Using the identity $(a + b)^2$, simplify $(3x + 4)^2$.

27. The product of $(x - 2)$ and $(x + 2)$ is:

28. The number of faces in a cuboid is:

29. Euler’s formula for a polyhedron is:

30. A cylinder has how many curved surfaces?

31. The area of a trapezium with parallel sides 6 cm and 4 cm and height 5 cm is:

32. The volume of a cuboid with dimensions 5 cm, 4 cm, and 3 cm is:

33. The surface area of a cube with side 4 cm is:

34. Simplify $2^3 \times 2^2$.

35. Express $0.00032$ in standard form.

36. The value of $(3^{-2})^{-1}$ is:

37. If 4 workers complete a task in 12 days, how many days will 6 workers take?

38. If $x$ and $y$ are in direct proportion and $x = 10$ when $y = 20$, what is $y$ when $x = 15$?

39. If the speed of a car increases, the time taken to cover a fixed distance:

40. Factorize $x^2 + 5x + 6$.

41. Using the identity $a^2 - b^2$, factorize $9x^2 - 16$.

42. The factors of $2x^2 + 7x + 3$ are:

43. The slope of the line $y = 2x + 3$ is:

44. The point where a linear graph intersects the x-axis has a y-coordinate of:

45. If a graph represents direct proportion, it is a:

46. Which of the following is an irrational number?

47. Simplify $(2^3 \times 2^2) \div 2^4$.

48. The decimal expansion of $1/5$ is:

49. On the number line, $\sqrt{2}$ lies between:

50. The degree of the polynomial $3x^4 - 2x^2 + 5$ is: