Welcome to the Class 8 Math Quiz Question Bank. We have carefully chosen problems with solution to boost your knowledge and skills. The questions cover key topics and range from simple to advanced levels. Each one helps you think better and calculate faster.
How It’s Organized
- Step-Up Section (1-45): Start with simple math problems. Gradually, work on tougher concepts like algebra, geometry, and data handling.
- Achiever Section (46-70): These are tricky, high-level questions.
- Very Challenging questions (71-102): These are challenging questions for students who are preparing for Olympiads.
Class 8 Math Quiz: 65 Moderately Challenging MCQ Questions
Note: In the end of this section, find 32 more challenging questions with answers.
Question 1. Which of the following is the additive identity for rational numbers?
a) 1
b) 0
c) -1
d) None of these
Answer:
b) 0
Question 2. Find the multiplicative inverse of 7.
a) 1/7
b) 7
c) -7
d) None of these
Answer:
a) 1/7
Question 3. What is the product of two negative rational numbers?
a) Positive rational number
b) Negative rational number
c) Zero
d) None of these
Answer:
a) Positive rational number
Question 4. Simplify: (5/8) + (3/8).
a) 1
b) 1/2
c) 8/8
d) 5/8
Answer:
a) 1 is best choice
Question 5. Which of the following is a linear equation in one variable?
a) x + 5 = 7
b) y² + 3 = 5
c) 2x – y = 5
d) None of these
Answer:
a) x + 5 = 7
Question 6. Solve for x: 2x + 5 = 15.
a) 5
b) 10
c) 20
d) None of these
Answer:
a) 5
Question 7. What is the sum of the interior angles of a triangle?
a) 90°
b) 180°
c) 360°
d) 120°
Answer:
b) 180°
Question 8. Find the value of x: 7x – 14 = 0.
a) 2
b) -2
c) 0
d) None of these
Answer:
a) 2
Question 9. What is the perimeter of a rectangle with length 5 cm and breadth 3 cm?
a) 16 cm
b) 15 cm
c) 8 cm
d) 10 cm
Answer:
a) 16 cm
Question 10. Which of the following is a rational number?
a) √2
b) 1/3
c) π
d) None of these
Answer:
b) 1/3
Question 11. A polygon with 6 sides is called:
a) Quadrilateral
b) Pentagon
c) Hexagon
d) Heptagon
Answer:
c) Hexagon
Question 12. Solve for x: 5x = 20.
a) 4
b) 2
c) 5
d) None of these
Answer:
a) 4
Question 13. What is the probability of getting a head when tossing a coin?
a) 0
b) 1
c) 1/2
d) None of these
Answer:
c) 1/2
Question 14. Find the area of a rectangle with length 7 cm and breadth 4 cm.
a) 28 cm²
b) 21 cm²
c) 14 cm²
d) None of these
Answer:
a) 28 cm²
Question 15. What is the reciprocal of -4/5?
a) -5/4
b) 5/4
c) 4/5
d) None of these
Answer:
a) -5/4
Question 16. Simplify: (3/4) × (8/9).
a) 1/3
b) 2/3
c) 4/9
d) 2/9
Answer:
b) 2/3
Question 17. Solve for x: 3x – 7 = 11.
a) 4
b) 6
c) 7
d) None of these
Answer:
b) 6
Question 18. Which of the following numbers is not a rational number?
a) 0
b) √7
c) -5/6
d) 1.5
Answer:
b) √7
Question 19. The sum of the angles of a quadrilateral is:
a) 180°
b) 360°
c) 270°
d) 90°
Answer:
b) 360°
Question 20. Find the value of x: 8x = 64.
a) 6
b) 8
c) 10
d) None of these
Answer:
b) 8
Question 21. The LCM of 4 and 6 is:
a) 12
b) 8
c) 24
d) None of these
Answer:
a) 12
Question 22. A rectangle has a length of 12 cm and breadth of 4 cm. What is its area?
a) 48 cm²
b) 40 cm²
c) 50 cm²
d) 44 cm²
Answer:
a) 48 cm²
Question 23. Solve for y: 2y + 3 = 9.
a) 2
b) 3
c) 4
d) None of these
Answer:
b) 3
Question 24. Convert 0.75 into a fraction.
a) 3/4
b) 1/2
c) 7/10
d) 5/8
Answer:
a) 3/4
Question 25. A parallelogram has a base of 10 cm and height of 5 cm. What is its area?
a) 20 cm²
b) 25 cm²
c) 50 cm²
d) 30 cm²
Answer:
c) 50 cm²
Question 26. What is the probability of rolling a 6 on a standard die?
a) 1/6
b) 1/4
c) 1/3
d) None of these
Answer:
a) 1/6
Question 27. Simplify: (2/3) ÷ (4/5).
a) 5/6
b) 3/10
c) 4/15
d) None of these
Answer:
a) 5/6
Question 28. A triangle has sides 3 cm, 4 cm, and 5 cm. What is its perimeter?
a) 12 cm
b) 10 cm
c) 9 cm
d) None of these
Answer:
a) 12 cm
Question 29. Solve for x: 5x + 3 = 18.
a) 3
b) 4
c) 2
d) None of these
Answer:
a) 3
Question 30. What is the value of 2³?
a) 8
b) 6
c) 9
d) 4
Answer:
a) 8
Question 31. Solve for x: 4(x – 2) = 16.
a) 4
b) 5
c) 6
d) None of these
Answer:
c) 6
Question 32. If the angles of a triangle are in the ratio 2:3:5, what is the largest angle?
a) 50°
b) 90°
c) 60°
d) 45°
Answer:
b) 90°
Question 33. The perimeter of a square is 40 cm. What is the length of one side?
a) 5 cm
b) 10 cm
c) 20 cm
d) None of these
Answer:
b) 10 cm
Question 34. Find the value of 7 × (2² + 3³).
a) 133
b) 143
c) 153
d) None of these
Answer:
d) None of these
Question 35. A shopkeeper sells 5 pens for Rs 60. What is the cost of one pen?
a) Rs 12
b) Rs 10
c) Rs 15
d) Rs 20
Answer:
a) Rs 12
Question 36. The area of a circle is 154 cm². Find its radius (π = 22/7).
a) 7 cm
b) 14 cm
c) 21 cm
d) None of these
Answer:
a) 7 cm
Question 37. Simplify: (5/6) + (7/12).
a) 3/4
b) 19/12
c) 6/13
d) None of these
Answer:
d) None of these
Question 38. A train travels 240 km in 4 hours. What is its speed?
a) 40 km/h
b) 50 km/h
c) 60 km/h
d) 70 km/h
Answer:
c) 60 km/h
Question 39. Solve for y: y/3 – 5 = 7.
a) 12
b) 18
c) 36
d) 10
Answer:
c) 36
Question 40. What is the HCF of 24 and 36?
a) 6
b) 12
c) 18
d) None of these
Answer:
b) 12
Question 41. If the simple interest for 2 years on Rs 5000 is Rs 400, what is the rate of interest?
a) 5%
b) 4%
c) 6%
d) 8%
Answer:
b) 4%
Question 42. Find the volume of a cube with side length 6 cm.
a) 216 cm³
b) 128 cm³
c) 64 cm³
d) 150 cm³
Answer:
a) 216 cm³
Question 43. Solve for x: 5x – 4 = 2x + 8.
a) 4
b) 5
c) 6
d) None of these
Answer:
a) 4
Question 44. What is the total surface area of a cube with side length 3 cm?
a) 36 cm²
b) 54 cm²
c) 72 cm²
d) None of these
Answer:
b) 54 cm²
Achiever Section
Question 45. A car covers 450 km in 5 hours. What is its average speed?
a) 80 km/h
b) 85 km/h
c) 90 km/h
d) 75 km/h
Answer:
c) 90 km/h
Question 46. Solve for x: 2x + 5 = 3(x – 4).
a) 7
b) 9
c) 5
d) None of these
Answer:
d) None of these
Question 47. A cone has a base radius of 7 cm and height of 24 cm. Find its volume (π = 22/7).
a) 1232 cm³
b) 1100 cm³
c) 1234 cm³
d) None of these
Answer:
a) 1232 cm³
Question 48. A sum of Rs 10,000 is invested at 5% per annum simple interest. Find the total amount after 4 years.
a) Rs 12,000
b) Rs 11,000
c) Rs 12,500
d) None of these
Answer:
a) Rs 12,000
Question 49. Two numbers are in the ratio 3:5. If their sum is 64, find the larger number.
a) 24
b) 40
c) 32
d) None of these
Answer:
b) 40
Question 50. Solve: √(81) + √(64).
a) 18
b) 19
c) 17
d) 16
Answer:
c) 17
Question 51. The surface area of a sphere is 616 cm². Find its radius (π = 22/7).
a) 7 cm
b) 14 cm
c) 21 cm
d) None of these
Answer:
a) 7 cm
Question 52. If 5 men can complete a task in 12 days, how many days will it take for 3 men to finish the same task?
a) 20 days
b) 30 days
c) 24 days
d) 18 days
Answer:
a) 20 days
Question 53. Find the probability of rolling a multiple of 3 on a standard die.
a) 1/6
b) 1/3
c) 1/2
d) 1/4
Answer:
b) 1/3
Question 54. A train travels 132 km in 1.5 hours. Find its average speed.
a) 80 km/h
b) 88 km/h
c) 85 km/h
d) 90 km/h
Answer:
b) 88 km/h
Question 55. Simplify: (3x/4) ÷ (9/16).
a) 4x/3
b) 12x/9
c) 4x/12
d) 3x/12
Answer:
a) 4x/3
Question 56. The area of a triangle is 50 cm², and its base is 10 cm. Find its height.
a) 15 cm
b) 12 cm
c) 10 cm
d) None of these
Answer:
c) 10 cm
Question 57. Solve for x: 7x – 5 = 2x + 20.
a) 6
b) 5
c) 7
d) None of these
Answer:
b) 5
Question 58. A cube has a surface area of 294 cm². Find its side length.
a) 7 cm
b) 14 cm
c) 21 cm
d) None of these
Answer:
a) 7 cm
Question 59. The diagonals of a rhombus are 8 cm and 6 cm. Find its area.
a) 24 cm²
b) 48 cm²
c) 28 cm²
d) None of these
Answer:
b) 24 cm²
Question 60. The ratio of boys to girls in a class is 3:4. If there are 35 students, how many are girls?
a) 15
b) 20
c) 28
d) 25
Answer:
b) 20
Question 61. Solve for x: 3(x – 4) + 7 = 2x + 10.
a) 6
b) 7
c) 8
d) None of these
Answer:
d) None of these
Question 62. The radius of a cylinder is 7 cm, and its height is 10 cm. Find its volume (π = 22/7).
a) 1540 cm³
b) 1440 cm³
c) 1650 cm³
d) None of these
Answer:
a) 1540 cm³
Question 63. A rectangle’s length is twice its breadth. If its perimeter is 60 cm, find its length.
a) 10 cm
b) 20 cm
c) 15 cm
d) None of these
Answer:
b) 20 cm
Question 64. The sides of a triangle are 3 cm, 4 cm, and 5 cm. What is its area?
a) 6 cm²
b) 7 cm²
c) 5 cm²
d) None of these
Answer:
a) 6 cm²
Question 65. A cone has a slant height of 13 cm and a base radius of 5 cm. Find its curved surface area (π = 22/7).
a) 204 cm²
b) 215 cm²
c) 230 cm²
d) None of these
Answer:
a) 204 cm²
Question 66. A man spends 60% of his income and saves Rs 4000. What is his total income?
a) Rs 10,000
b) Rs 8,000
c) Rs 12,000
d) None of these
Answer:
a) Rs 10,000
Question 67. Solve for x: 4x² = 64.
a) ±4
b) ±8
c) 4
d) None of these
Answer:
a) ±4
Question 68. A sum of Rs 5000 is invested at 10% per annum compound interest for 2 years. Find the total amount.
a) Rs 6050
b) Rs 5500
c) Rs 6055
d) None of these
Answer:
a) Rs 6050
Question 69. Two pipes can fill a tank in 10 hours and 15 hours, respectively. How long will they take to fill it together?
a) 6 hours
b) 7 hours
c) 6 hours 30 minutes
d) None of these
Answer:
a) 6 hours 30 minutes
Question 70. The diameter of a sphere is 14 cm. Find its volume (π = 22/7).
a) 1436 cm³
b) 1437 cm³
c) 1436.8 cm³
d) None of these
Answer:
d) None of these
Challenging Class 8 Math Quiz: 32 More Challenging MCQ Questions
Question 71. If x + 1/x = 3, find the value of x² + 1/x².
a) 7
b) 8
c) 9
d) None of these
Answer:
a) 7
Question 72. A three-digit number is divisible by 9. If the sum of its digits is 18 and the hundreds digit is twice the units digit, find the number.
a) 972
b) 639
c) 882
d) None of these
Answer:
b) 639
Question 73. Solve for x: 2x² – 7x + 3 = 0.
a) 1/2, 3
b) 1, 3/2
c) 2, 3/2
d) None of these
Answer:
a) 1/2, 3
Question 74. The sum of ages of A and B is 40. Four years ago, the ratio of their ages was 3:2. Find B’s present age.
a) 16
b) 18
c) 24
d) None of these
Answer:
b) 16
Question 75. A number when divided by 7 leaves remainder 5. What remainder will its square leave when divided by 7?
a) 2
b) 3
c) 4
d) None of these
Answer:
c) 4
Question 76. The diagonals of a rhombus are in the ratio 3:4 and its area is 108 cm². Find the side of the rhombus.
a) 10
b) 13
c) 15
d) None of these
Answer:
b) 13
Question 77. If a fair coin is tossed 4 times, what is the probability of getting exactly 2 heads?
a) 3/8
b) 3/16
c) 6/16
d) None of these
Answer:
c) 6/16
Question 78. In how many ways can the letters of the word ‘MATH’ be arranged so that vowels always come together?
a) 6
b) 12
c) 24
d) None of these
Answer:
b) 12
Question 79. A two-digit number is 4 times the sum of its digits. If 18 is added to the number, digits interchange. Find the number.
a) 36
b) 48
c) 24
d) None of these
Answer:
a) 36
Question 80. Find the smallest 4-digit number divisible by both 12 and 18.
a) 1008
b) 1032
c) 1080
d) None of these
Answer:
a) 1008
Question 81. Solve for x: (x – 1)/(x + 2) = 2/3.
a) 4
b) 5
c) 7
d) None of these
Answer:
a) 4
Question 82. The angles of a quadrilateral are in ratio 2:3:4:9. Find the largest angle.
a) 120°
b) 135°
c) 162°
d) None of these
Answer:
c) 162°
Question 83. A basket has 4 red, 5 blue, and 6 green balls. Two balls are drawn one after another without replacement. Find the probability that both are green.
a) 1/7
b) 2/7
c) 2/15
d) None of these
Answer:
c) 2/15
Question 84. The sum of first 20 odd numbers is:
a) 400
b) 200
c) 210
d) None of these
Answer:
a) 400
Question 85. Solve: x² + 1/x² = 47, given x + 1/x = 7.
a) True
b) False
c) Cannot be determined
d) None of these
Answer:
a) True
Question 86. A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
a) 2:3
b) 3:2
c) 4:3
d) None of these
Answer:
b) 3:2
Question 87. In a ΔABC, ∠A = 90°. If AB = 8 cm and AC = 15 cm, find BC.
a) 17 cm
b) 10 cm
c) 12 cm
d) None of these
Answer:
a) 17 cm
Question 88. How many 4-digit numbers can be formed using digits 2, 3, 4, 5 without repetition?
a) 24
b) 12
c) 18
d) None of these
Answer:
a) 24
Question 89. A train crosses a platform 200 m long in 25 seconds and a man standing on the platform in 15 seconds. Find the length of train.
a) 120 m
b) 150 m
c) 180 m
d) None of these
Answer:
b) 150 m
Question 90. Simplify: (729)^(2/3).
a) 81
b) 243
c) 27
d) None of these
Answer:
a) 81
Question 91. The average of 5 consecutive multiples of 7 is 63. Find the largest multiple.
a) 77
b) 70
c) 84
d) None of these
Answer:
a) 77
Question 92. A card is drawn at random from a well-shuffled pack. What is the probability that it is neither a heart nor a king?
a) 39/52
b) 38/52
c) 40/52
d) None of these
Answer:
a) 39/52
Question 93. A rectangular park is 60 m long and 40 m wide. Two cross paths each 4 m wide run through the centre. Find the area of the park left out for grass.
a) 2240 m²
b) 2200 m²
c) 2300 m²
d) None of these
Answer:
a) 2240 m²
Question 94. A dealer buys an article at Rs 2400. He spends Rs 100 on repairs and sells at Rs 3200. Find his profit percentage.
a) 25%
b) 30%
c) 28%
d) None of these
Answer:
b) 30%
Question 95. If x = 2 + √3, find the value of 1/(x – √3).
a) 2 + √3
b) 2 – √3
c) 1
d) None of these
Answer:
a) 2 + √3
Question 96. The HCF and LCM of two numbers are 18 and 720. If one number is 90, find the other.
a) 120
b) 144
c) 160
d) None of these
Answer:
b) 144
Question 97. A bag contains 10 white and 6 black balls. Two balls are drawn one after another with replacement. Find probability that both are black.
a) 9/64
b) 3/8
c) 9/16
d) None of these
Answer:
a) 9/64
Question 98. A number consists of two digits. If the digits are reversed, the new number is 27 more than the original. If the sum of digits is 11, find the number.
a) 47
b) 74
c) 65
d) None of these
Answer:
c) 47
Question 99. Find the remainder when 2^15 is divided by 7.
a) 1
b) 2
c) 4
d) None of these
Answer:
a) 4
Question 100. Simplify: (sin²θ + cos²θ) / (sec²θ – tan²θ).
a) 1
b) 0
c) sin²θ
d) None of these
Answer:
a) 1
Question 101. A solid metallic sphere of radius 6 cm is melted and recast into smaller cones each of radius 3 cm and height 4 cm. How many cones are formed?
a) 24
b) 32
c) 36
d) None of these
Answer:
b) 32
Question 102. If x³ + y³ = 35 and x + y = 5, find xy.
a) 10
b) 12
c) 15
d) None of these
Answer:
a) 10
1 Comment
This helped me in my assignment. Thank you for the questions. Keep up the good work.