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Kerala Talent Olympiad

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Class 8 Sample Paper

Practice with our expertly crafted questions to ace the Kerala Talent Olympiad.

Kerala Talent Olympiad Exam - Class 8 Sample Paper

Below are 50 carefully selected MCQs covering Class 7 revision + Class 8 topics (Rational Numbers, Linear Equations, etc.) as per Kerala State & NCERT syllabus.

1. What is the value of −8 + 12 − 5?

  • A) −1
  • B) 1
  • C) −5
  • D) 5

2. The product of −6 and 4 is:

  • A) −24
  • B) 24
  • C) −10
  • D) 10

3. If the temperature drops by 7°C and then rises by 3°C, the net change is:

  • A) −4°C
  • B) 4°C
  • C) −10°C
  • D) 10°C

4. Solve: (−9) ÷ (−3)

  • A) −3
  • B) 3
  • C) −6
  • D) 6

5. What is ¾ + ⅔?

  • A) 5/7
  • B) 17/12
  • C) 6/7
  • D) 5/12

6. Convert 0.75 to a fraction in its simplest form.

  • A) ¾
  • B) 7/10
  • C) 75/100
  • D) ½

7. If ½ of a number is 6, what is the number?

  • A) 3
  • B) 6
  • C) 12
  • D) 18

8. Multiply: 2.5 × 1.2

  • A) 3
  • B) 3.5
  • C) 2.5
  • D) 3.0

9. The mean of 4, 6, 8, 10 is:

  • A) 6
  • B) 7
  • C) 8
  • D) 9

10. In a bar graph, the height of each bar represents:

  • A) Frequency
  • B) Class interval
  • C) Midpoint
  • D) Width

11. The mode of the data set 3, 5, 5, 7, 8 is:

  • A) 3
  • B) 5
  • C) 7
  • D) 8

12. The median of 2, 4, 6, 8, 10 is:

  • A) 4
  • B) 6
  • C) 8
  • D) 10

13. Solve for x: 3x + 4 = 19

  • A) x = 4
  • B) x = 5
  • C) x = 6
  • D) x = 7

14. If 2x = 10, what is x?

  • A) 2
  • B) 4
  • C) 5
  • D) 6

15. A number increased by 7 equals 15. What is the number?

  • A) 6
  • B) 7
  • C) 8
  • D) 9

16. Solve: 4(x − 2) = 8

  • A) x = 2
  • B) x = 3
  • C) x = 4
  • D) x = 5

17. The sum of complementary angles is:

  • A) 90°
  • B) 180°
  • C) 360°
  • D) 45°

18. If two angles are supplementary and one is 70°, the other is:

  • A) 20°
  • B) 90°
  • C) 110°
  • D) 180°

19. The angle formed by a transversal with parallel lines is:

  • A) Equal to corresponding angles
  • B) Equal to adjacent angles
  • C) Always 90°
  • D) Always 180°

20. Vertically opposite angles are:

  • A) Equal
  • B) Complementary
  • C) Supplementary
  • D) Unequal

21. The angle sum property of a triangle states that the sum of its angles is:

  • A) 90°
  • B) 180°
  • C) 270°
  • D) 360°

22. In a triangle, if one angle is 50° and another is 60°, the third angle is:

  • A) 60°
  • B) 70°
  • C) 80°
  • D) 90°

23. In a right-angled triangle, the Pythagoras theorem applies: a² + b² = c²

  • A) True
  • B) False
  • C) Only for equilateral
  • D) Only for isosceles

24. The exterior angle of a triangle is equal to the sum of:

  • A) Two interior angles
  • B) Two opposite interior angles
  • C) All interior angles
  • D) One interior angle

25. Which criterion ensures triangle congruence if two sides and the included angle are equal?

  • A) SSS
  • B) SAS
  • C) ASA
  • D) RHS

26. In congruent triangles, corresponding angles are:

  • A) Equal
  • B) Complementary
  • C) Supplementary
  • D) Unequal

27. RHS congruence is used for triangles that are:

  • A) Equilateral
  • B) Right-angled
  • C) Isosceles
  • D) Scalene

28. If a shirt costs ₹400 and is sold at a 20% discount, the selling price is:

  • A) ₹320
  • B) ₹360
  • C) ₹380
  • D) ₹400

29. The simple interest on ₹2000 at 5% per annum for 3 years is:

  • A) ₹200
  • B) ₹300
  • C) ₹400
  • D) ₹500

30. If 2 pencils cost ₹10, how much will 5 pencils cost?

  • A) ₹20
  • B) ₹25
  • C) ₹30
  • D) ₹35

31. The additive inverse of −4/5 is:

  • A) 4/5
  • B) −5/4
  • C) 5/4
  • D) −4/5

32. A rational number between ½ and ¾ is:

  • A) ⅔
  • B) ⅓
  • C) ⅘
  • D) ⅚

33. On the number line, −3/2 lies:

  • A) Between −2 and −1
  • B) Between 0 and −1
  • C) Between −3 and −2
  • D) At −1

34. To construct a triangle, the minimum number of measurements required is:

  • A) 2
  • B) 3
  • C) 4
  • D) 5

35. Which tool is used to draw a line segment of a specific length?

  • A) Compass
  • B) Ruler
  • C) Protractor
  • D) Divider

36. To construct a 60° angle, you primarily use:

  • A) Ruler
  • B) Compass
  • C) Protractor
  • D) Set square

37. The area of a rectangle with length 8 cm and width 5 cm is:

  • A) 40 cm²
  • B) 45 cm²
  • C) 50 cm²
  • D) 55 cm²

38. The circumference of a circle with radius 7 cm is (use π ≈ 22/7):

  • A) 44 cm
  • B) 48 cm
  • C) 50 cm
  • D) 56 cm

39. Simplify: 3x + 2x − 5x

  • A) 0
  • B) x
  • C) −x
  • D) 5x

40. The degree of the polynomial 4x² + 3x + 1 is:

  • A) 1
  • B) 2
  • C) 3
  • D) 4

41. Simplify: 3² × 3³

  • A) 3⁵
  • B) 3⁶
  • C) 9⁵
  • D) 9⁶

42. Express 0.00064 in standard form.

  • A) 6.4 × 10⁻⁴
  • B) 6.4 × 10⁻³
  • C) 6.4 × 10³
  • D) 6.4 × 10⁴

43. A square has how many lines of symmetry?

  • A) 2
  • B) 3
  • C) 4
  • D) 5

44. Rotational symmetry of order 2 means the shape looks the same after a rotation of:

  • A) 90°
  • B) 180°
  • C) 270°
  • D) 360°

45. The number of faces in a cube is:

  • A) 4
  • B) 6
  • C) 8
  • D) 12

46. The net of a cylinder consists of:

  • A) 2 circles and 1 rectangle
  • B) 1 circle and 1 rectangle
  • C) 2 rectangles
  • D) 1 circle and 2 rectangles

47. The multiplicative inverse of −2/3 is:

  • A) 3/2
  • B) −3/2
  • C) 2/3
  • D) −2/3

48. A rational number between 2/5 and 3/5 is:

  • A) ½
  • B) ⅘
  • C) 3/10
  • D) 7/10

49. Solve for x: 5x − 7 = 13

  • A) x = 2
  • B) x = 3
  • C) x = 4
  • D) x = 5

50. If 3x + 9 = 0, what is x?

  • A) −3
  • B) 3
  • C) −9
  • D) 9

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