Basic Mathematics MCQs: 100 Solved Questions

Basic mathematics MCQs are a guaranteed section of every PPSC, FPSC, NTS, ETEA, police, clerk and one-paper exam — usually 10 to 20 marks of pure calculation. The good news: math marks are the easiest to guarantee, because every question has one exact answer and every type follows one formula. This pillar post gives you 100 solved basic mathematics MCQs across eight sections (percentage, average, ratio, profit & loss, interest, time-work-speed, geometry and algebra), each with a step-by-step solution, plus a formula cheat-sheet and speed shortcuts.

How to use: Solve each question on paper in under one minute before reading the solution. Write the formula of every wrong question in a notebook — formulas, not questions, are what repeat in exams.

Formula Cheat-Sheet (Revise First)

Every question in these basic mathematics MCQs uses one of the formulas below — revise this list before attempting the sets.

Percentage: % of a number = (percent ÷ 100) × number; increase % = (increase ÷ original) × 100
Average: Average = sum of values ÷ number of values; Sum = average × count
Ratio: divide a total in ratio a:b → shares = total × a/(a+b) and total × b/(a+b)
Profit/Loss: Profit % = (profit ÷ CP) × 100; Loss % = (loss ÷ CP) × 100; SP = CP × (100 ± %)/100
Simple Interest: SI = (P × R × T) ÷ 100; Amount = P + SI
Speed: Distance = speed × time; km/h → m/s multiply by 5/18; m/s → km/h multiply by 18/5
Work: 1-day work = 1/days; together = 1/(1/a + 1/b)
Mensuration: square area = side², perimeter = 4×side; rectangle area = l×w; triangle area = ½×base×height; circle area = πr², circumference = 2πr

Basic Mathematics MCQs – Percentage (Q1–15)

Percentage is the most repeated topic in basic mathematics MCQs — master these fifteen first.

Q1. 20% of 150 = ?

A) 30

B) 20

C) 35

D) 40

Answer: A) 30

Explanation: (20 ÷ 100) × 150 = 30. Shortcut: 10% of 150 is 15, so 20% is double = 30.

Q2. 45% of 200 = ?

A) 90

B) 80

C) 85

D) 95

Answer: A) 90

Explanation: (45 ÷ 100) × 200 = 90. With 200, just double the percent number.

Q3. 20 is what percent of 80?

A) 20%

B) 40%

C) 50%

D) 25%

Answer: D) 25%

Explanation: (20 ÷ 80) × 100 = 25%. Remember: “is over of” × 100.

Q4. 15% of 40 = ?

A) 6

B) 4

C) 5

D) 8

Answer: A) 6

Explanation: 10% of 40 = 4 and 5% = 2, so 15% = 4 + 2 = 6.

Q5. A number increased by 10% gives 55. The number is?

A) 45

B) 52

C) 60

D) 50

Answer: D) 50

Explanation: 110% of x = 55, so x = 55 ÷ 1.1 = 50.

Q6. 60% of 25 = ?

A) 12

B) 15

C) 18

D) 20

Answer: B) 15

Explanation: Trick: 60% of 25 = 25% of 60 = 15. Swapping makes it mental math.

Q7. If 25% of a number is 40, the number is?

A) 100

B) 120

C) 160

D) 200

Answer: C) 160

Explanation: 25% = one quarter, so the full number = 40 × 4 = 160.

Q8. 5% of 5% of 200 = ?

A) 1

B) 0.5

C) 5

D) 10

Answer: B) 0.5

Explanation: 5% of 200 = 10, then 5% of 10 = 0.5. Work step by step.

Q9. A price rises from 200 to 250. The increase percentage is?

A) 25%

B) 20%

C) 30%

D) 50%

Answer: A) 25%

Explanation: Increase = 50; (50 ÷ 200) × 100 = 25%. Always divide by the original value.

Q10. A price falls from 250 to 200. The decrease percentage is?

A) 25%

B) 20%

C) 30%

D) 50%

Answer: B) 20%

Explanation: Decrease = 50; (50 ÷ 250) × 100 = 20%. Note it differs from Q9 — the base changed.

Q11. 33.33% of 90 = ?

A) 25

B) 33

C) 45

D) 30

Answer: D) 30

Explanation: 33.33% = 1/3, and one third of 90 is 30. Memorise fraction-percent pairs.

Q12. 12.5% of 64 = ?

A) 6

B) 10

C) 12

D) 8

Answer: D) 8

Explanation: 12.5% = 1/8, and 64 ÷ 8 = 8.

Q13. 70% of a number is 35. The number is?

A) 40

B) 45

C) 50

D) 70

Answer: C) 50

Explanation: x = 35 ÷ 0.70 = 50.

Q14. 20% of 20% of 500 = ?

A) 20

B) 10

C) 40

D) 100

Answer: A) 20

Explanation: 20% of 500 = 100; 20% of 100 = 20.

Q15. A student scores 45 marks out of 60. His percentage is?

A) 65%

B) 70%

C) 75%

D) 80%

Answer: C) 75%

Explanation: (45 ÷ 60) × 100 = 75%.

Basic Mathematics MCQs – Average (Q16–25)

Q16. The average of 5, 10 and 15 is?

A) 8

B) 12

C) 10

D) 15

Answer: C) 10

Explanation: Sum = 30; 30 ÷ 3 = 10.

Q17. The average of 12, 18, 24 and 26 is?

A) 18

B) 19

C) 22

D) 20

Answer: D) 20

Explanation: Sum = 80; 80 ÷ 4 = 20.

Q18. The average of the first 10 natural numbers is?

A) 5

B) 10

C) 11

D) 5.5

Answer: D) 5.5

Explanation: Sum of 1 to 10 = 55; 55 ÷ 10 = 5.5. Formula: (n+1)/2.

Q19. The average of 40, 50, 60, 70 and 80 is?

A) 50

B) 55

C) 60

D) 65

Answer: C) 60

Explanation: Sum = 300; 300 ÷ 5 = 60. For equal gaps, the middle value is the average.

Q20. The average of 5 numbers is 20. Their sum is?

A) 100

B) 25

C) 80

D) 120

Answer: A) 100

Explanation: Sum = average × count = 20 × 5 = 100.

Q21. The average of 3, 6, 9 and 12 is?

A) 6

B) 7

C) 8

D) 7.5

Answer: D) 7.5

Explanation: Sum = 30; 30 ÷ 4 = 7.5.

Q22. The average of 100, 200 and 300 is?

A) 150

B) 250

C) 200

D) 300

Answer: C) 200

Explanation: Sum = 600; 600 ÷ 3 = 200.

Q23. The average age of 4 persons is 25. When a fifth joins, the average becomes 27. His age is?

A) 27

B) 35

C) 30

D) 40

Answer: B) 35

Explanation: Old sum = 100, new sum = 27 × 5 = 135; difference = 35.

Q24. The average of 2, 4, 6, 8 and 10 is?

A) 5

B) 7

C) 6

D) 8

Answer: C) 6

Explanation: Sum = 30; 30 ÷ 5 = 6.

Q25. The average of 7, 14 and 21 is?

A) 12

B) 14

C) 16

D) 21

Answer: B) 14

Explanation: Sum = 42; 42 ÷ 3 = 14.

Basic Mathematics MCQs – Ratio & Proportion (Q26–35)

Q26. The simplest form of 12:18 is?

A) 3:4

B) 2:3

C) 4:6

D) 6:9

Answer: B) 2:3

Explanation: Divide both by the HCF 6: 12÷6 : 18÷6 = 2:3.

Q27. Two numbers are in ratio 3:5 and their sum is 40. The numbers are?

A) 15 and 25

B) 12 and 28

C) 16 and 24

D) 18 and 22

Answer: A) 15 and 25

Explanation: Total parts = 8; one part = 5; so 3×5 = 15 and 5×5 = 25.

Q28. 4:7 = ? :28

A) 12

B) 14

C) 16

D) 21

Answer: C) 16

Explanation: 7 × 4 = 28, so multiply 4 by 4 as well = 16.

Q29. The ratio of 50 to 100 in simplest form is?

A) 2:1

B) 1:2

C) 1:4

D) 4:1

Answer: B) 1:2

Explanation: 50/100 = 1/2, so the ratio is 1:2.

Q30. If a:b = 2:3 and b:c = 4:5, then a:c = ?

A) 2:5

B) 8:15

C) 6:10

D) 5:8

Answer: B) 8:15

Explanation: Make b equal (12): a:b = 8:12 and b:c = 12:15, so a:c = 8:15.

Q31. Divide 90 in the ratio 4:5.

A) 35 and 55

B) 42 and 48

C) 45 and 45

D) 40 and 50

Answer: D) 40 and 50

Explanation: Parts = 9; one part = 10; shares = 40 and 50.

Q32. Two numbers are in ratio 5:8 and their difference is 12. The numbers are?

A) 15 and 27

B) 25 and 37

C) 20 and 32

D) 30 and 42

Answer: C) 20 and 32

Explanation: Difference in parts = 3 = 12, so one part = 4; numbers = 20 and 32.

Q33. 2:3 :: 6:?

A) 8

B) 9

C) 10

D) 12

Answer: B) 9

Explanation: Product of means = product of extremes: 3 × 6 = 2 × x, so x = 9.

Q34. The inverse ratio of 7:3 is?

A) 3:7

B) 7:3

C) 1:3

D) 21:9

Answer: A) 3:7

Explanation: Inverse ratio simply swaps the terms.

Q35. The ratio 1:4 expressed as a percentage is?

A) 20%

B) 40%

C) 25%

D) 50%

Answer: C) 25%

Explanation: 1/4 = 0.25 = 25%.

Basic Mathematics MCQs – Profit & Loss (Q36–50)

Profit and loss questions repeat the same three formulas in different disguises — the most scoring part of basic mathematics MCQs.

Q36. CP = 200, SP = 250. Profit % is?

A) 20%

B) 30%

C) 25%

D) 50%

Answer: C) 25%

Explanation: Profit = 50; (50 ÷ 200) × 100 = 25%. Profit % is always on CP.

Q37. CP = 250, SP = 200. Loss % is?

A) 15%

B) 20%

C) 25%

D) 50%

Answer: B) 20%

Explanation: Loss = 50; (50 ÷ 250) × 100 = 20%.

Q38. CP = 100 and profit is 15%. SP = ?

A) 115

B) 105

C) 110

D) 120

Answer: A) 115

Explanation: SP = CP + profit = 100 + 15 = 115.

Q39. SP = 120 with a loss of 20%. CP = ?

A) 100

B) 140

C) 150

D) 160

Answer: C) 150

Explanation: SP = 80% of CP, so CP = 120 ÷ 0.8 = 150.

Q40. An article bought for 80 is sold for 100. Profit % is?

A) 20%

B) 25%

C) 30%

D) 40%

Answer: B) 25%

Explanation: Profit = 20; (20 ÷ 80) × 100 = 25%.

Q41. A shopkeeper earns 10% profit by selling at 220. His CP is?

A) 180

B) 200

C) 190

D) 210

Answer: B) 200

Explanation: 110% of CP = 220, so CP = 220 ÷ 1.1 = 200.

Q42. Marked price 500 with 10% discount. Selling price = ?

A) 400

B) 440

C) 450

D) 460

Answer: C) 450

Explanation: Discount = 50; SP = 500 − 50 = 450.

Q43. Two successive discounts of 10% and 10% equal a single discount of?

A) 19%

B) 20%

C) 18%

D) 21%

Answer: A) 19%

Explanation: 100 → 90 → 81; total cut = 19. Successive discounts never simply add.

Q44. CP = 60, SP = 75. Profit % is?

A) 15%

B) 20%

C) 25%

D) 30%

Answer: C) 25%

Explanation: Profit = 15; (15 ÷ 60) × 100 = 25%.

Q45. A loss of 20% on CP 500 means SP = ?

A) 400

B) 350

C) 380

D) 420

Answer: A) 400

Explanation: SP = 80% of 500 = 400.

Q46. Profit is 50% and CP is 40. SP = ?

A) 50

B) 60

C) 55

D) 80

Answer: B) 60

Explanation: SP = 150% of 40 = 60.

Q47. SP = 90 with 25% profit. CP = ?

A) 65

B) 70

C) 75

D) 72

Answer: D) 72

Explanation: 125% of CP = 90, so CP = 90 ÷ 1.25 = 72.

Q48. A 20% discount on 150 gives a price of?

A) 110

B) 115

C) 130

D) 120

Answer: D) 120

Explanation: Discount = 30; price = 150 − 30 = 120.

Q49. CP = 120, SP = 96. Loss % is?

A) 20%

B) 15%

C) 24%

D) 25%

Answer: A) 20%

Explanation: Loss = 24; (24 ÷ 120) × 100 = 20%.

Q50. A profit of 100% means the selling price is?

A) Same as CP

B) Triple the CP

C) Half the CP

D) Double the CP

Answer: D) Double the CP

Explanation: 100% profit = profit equal to CP, so SP = CP + CP = 2 × CP.

Basic Mathematics MCQs – Interest (Q51–60)

Q51. Simple interest on 1000 at 5% for 2 years = ?

A) 50

B) 100

C) 150

D) 200

Answer: B) 100

Explanation: SI = (1000 × 5 × 2) ÷ 100 = 100.

Q52. Simple interest on 500 at 10% for 3 years = ?

A) 150

B) 100

C) 120

D) 200

Answer: A) 150

Explanation: SI = (500 × 10 × 3) ÷ 100 = 150.

Q53. The formula for simple interest is?

A) P × R × T

B) P × (1 + R)

C) (P + R) × T

D) (P × R × T) ÷ 100

Answer: D) (P × R × T) ÷ 100

Explanation: P = principal, R = rate % per year, T = years.

Q54. Simple interest on 2000 at 4% for 1 year = ?

A) 40

B) 60

C) 100

D) 80

Answer: D) 80

Explanation: SI = (2000 × 4 × 1) ÷ 100 = 80.

Q55. Amount on 1000 at 10% simple interest for 2 years = ?

A) 1100

B) 1150

C) 1200

D) 1210

Answer: C) 1200

Explanation: SI = 200; Amount = 1000 + 200 = 1200.

Q56. Compound interest on 1000 at 10% for 2 years = ?

A) 200

B) 220

C) 210

D) 250

Answer: C) 210

Explanation: Year 1: 1000 → 1100; Year 2: 1100 → 1210. CI = 1210 − 1000 = 210.

Q57. Compound interest on 2000 at 5% for 2 years = ?

A) 200

B) 210

C) 215

D) 205

Answer: D) 205

Explanation: 2000 → 2100 → 2205; CI = 205.

Q58. The difference between CI and SI on a sum at 10% for 2 years is 10. The sum is?

A) 1000

B) 500

C) 1500

D) 2000

Answer: A) 1000

Explanation: For 2 years, difference = P × (R/100)² = P × 0.01 = 10, so P = 1000.

Q59. Simple interest on 1500 at 6% for 6 months = ?

A) 60

B) 45

C) 90

D) 120

Answer: B) 45

Explanation: T = 0.5 year; SI = (1500 × 6 × 0.5) ÷ 100 = 45.

Q60. SI on 800 for 2 years is 160. The rate % is?

A) 5%

B) 8%

C) 10%

D) 12%

Answer: C) 10%

Explanation: R = (SI × 100) ÷ (P × T) = (160 × 100) ÷ (800 × 2) = 10%.

Basic Mathematics MCQs – Time, Work & Speed (Q61–75)

Time, work and speed sums look lengthy but become twenty-second questions once these rules click in basic mathematics MCQs.

Q61. A can finish a job in 10 days. His 1-day work is?

A) 1/5

B) 1/20

C) 10

D) 1/10

Answer: D) 1/10

Explanation: 1-day work = 1 ÷ total days.

Q62. A does a job in 10 days, B in 15 days. Together they finish in?

A) 5 days

B) 6 days

C) 8 days

D) 12 days

Answer: B) 6 days

Explanation: 1/10 + 1/15 = 1/6, so together 6 days. Shortcut: (10×15)/(10+15) = 6.

Q63. A car runs at 60 km/h for 2 hours. Distance = ?

A) 30 km

B) 60 km

C) 180 km

D) 120 km

Answer: D) 120 km

Explanation: Distance = speed × time = 60 × 2 = 120 km.

Q64. A bus covers 150 km in 3 hours. Its speed is?

A) 40 km/h

B) 45 km/h

C) 60 km/h

D) 50 km/h

Answer: D) 50 km/h

Explanation: Speed = distance ÷ time = 150 ÷ 3 = 50 km/h.

Q65. 5 m/s expressed in km/h is?

A) 10

B) 15

C) 18

D) 20

Answer: C) 18

Explanation: Multiply by 18/5: 5 × 18/5 = 18 km/h.

Q66. 18 km/h expressed in m/s is?

A) 3

B) 6

C) 5

D) 9

Answer: C) 5

Explanation: Multiply by 5/18: 18 × 5/18 = 5 m/s.

Q67. A and B each can do a job in 12 days. Together they take?

A) 4 days

B) 8 days

C) 24 days

D) 6 days

Answer: D) 6 days

Explanation: Equal workers halve the time: 12 ÷ 2 = 6 days.

Q68. A 100 m long train passes a pole at 10 m/s. Time taken = ?

A) 5 s

B) 10 s

C) 15 s

D) 20 s

Answer: B) 10 s

Explanation: Time = train length ÷ speed = 100 ÷ 10 = 10 seconds.

Q69. A can do a job in 20 days. In 5 days he completes what part?

A) 1/2

B) 1/4

C) 1/5

D) 1/10

Answer: B) 1/4

Explanation: Work done = days worked ÷ total days = 5/20 = 1/4.

Q70. 8 workers finish a job in 10 days. 4 workers will take?

A) 20 days

B) 5 days

C) 15 days

D) 25 days

Answer: A) 20 days

Explanation: Workers and days are inverse: half the workers = double the days.

Q71. A car at 45 km/h travels for 20 minutes. Distance = ?

A) 10 km

B) 20 km

C) 15 km

D) 25 km

Answer: C) 15 km

Explanation: 20 minutes = 1/3 hour; 45 × 1/3 = 15 km.

Q72. A and B together finish in 6 days; A alone in 10 days. B alone takes?

A) 15 days

B) 12 days

C) 16 days

D) 20 days

Answer: A) 15 days

Explanation: 1/6 − 1/10 = 1/15, so B alone needs 15 days.

Q73. A 200 m train crosses a 100 m platform at 30 m/s. Time = ?

A) 5 s

B) 8 s

C) 12 s

D) 10 s

Answer: D) 10 s

Explanation: Total distance = 200 + 100 = 300 m; time = 300 ÷ 30 = 10 s.

Q74. A man walks at 5 km/h for 2.5 hours. Distance = ?

A) 12.5 km

B) 10 km

C) 11.5 km

D) 15 km

Answer: A) 12.5 km

Explanation: 5 × 2.5 = 12.5 km.

Q75. 6 men do a job in 12 days. 9 men will do it in?

A) 6 days

B) 9 days

C) 8 days

D) 18 days

Answer: C) 8 days

Explanation: Total work = 6 × 12 = 72 man-days; 72 ÷ 9 = 8 days.

Basic Mathematics MCQs – Geometry & Mensuration (Q76–85)

Mensuration is pure formula recall — guaranteed marks in basic mathematics MCQs if the cheat-sheet above is memorised.

Q76. Area of a square with side 6 cm = ?

A) 12 cm²

B) 36 cm²

C) 24 cm²

D) 48 cm²

Answer: B) 36 cm²

Explanation: Area = side² = 6 × 6 = 36.

Q77. Perimeter of a square with side 7 cm = ?

A) 14 cm

B) 28 cm

C) 21 cm

D) 49 cm

Answer: B) 28 cm

Explanation: Perimeter = 4 × side = 28 cm.

Q78. Area of a rectangle 8 cm × 5 cm = ?

A) 13 cm²

B) 26 cm²

C) 80 cm²

D) 40 cm²

Answer: D) 40 cm²

Explanation: Area = length × width = 8 × 5 = 40.

Q79. Perimeter of a rectangle 10 cm × 4 cm = ?

A) 28 cm

B) 14 cm

C) 24 cm

D) 40 cm

Answer: A) 28 cm

Explanation: Perimeter = 2(l + w) = 2 × 14 = 28 cm.

Q80. Area of a triangle with base 10 cm and height 6 cm = ?

A) 16 cm²

B) 60 cm²

C) 30 cm²

D) 120 cm²

Answer: C) 30 cm²

Explanation: Area = ½ × base × height = ½ × 60 = 30.

Q81. Circumference of a circle with r = 7 cm (π = 22/7) = ?

A) 22 cm

B) 33 cm

C) 154 cm

D) 44 cm

Answer: D) 44 cm

Explanation: 2πr = 2 × 22/7 × 7 = 44 cm.

Q82. Area of a circle with r = 7 cm (π = 22/7) = ?

A) 44 cm²

B) 88 cm²

C) 154 cm²

D) 308 cm²

Answer: C) 154 cm²

Explanation: πr² = 22/7 × 49 = 154.

Q83. The sum of the angles of a triangle is?

A) 90°

B) 270°

C) 180°

D) 360°

Answer: C) 180°

Explanation: Every triangle’s three angles add to 180°.

Q84. Volume of a cube with side 3 cm = ?

A) 27 cm³

B) 9 cm³

C) 18 cm³

D) 81 cm³

Answer: A) 27 cm³

Explanation: Volume = side³ = 3 × 3 × 3 = 27.

Q85. The sum of the angles of a quadrilateral is?

A) 180°

B) 270°

C) 450°

D) 360°

Answer: D) 360°

Explanation: A quadrilateral splits into two triangles: 2 × 180° = 360°.

Basic Mathematics MCQs – Algebra & Number System (Q86–100)

Q86. If 2x + 6 = 14, then x = ?

A) 2

B) 4

C) 6

D) 8

Answer: B) 4

Explanation: 2x = 14 − 6 = 8, so x = 4.

Q87. If x² = 49, the positive value of x = ?

A) 7

B) 6

C) 8

D) 9

Answer: A) 7

Explanation: 7 × 7 = 49, so x = 7.

Q88. The HCF of 24 and 36 is?

A) 6

B) 12

C) 8

D) 72

Answer: B) 12

Explanation: Common factors: 1, 2, 3, 4, 6, 12 — the highest is 12.

Q89. The LCM of 6 and 8 is?

A) 12

B) 24

C) 16

D) 48

Answer: B) 24

Explanation: Multiples of 6: 6, 12, 18, 24; of 8: 8, 16, 24 — first common is 24.

Q90. The smallest prime number is?

A) 2

B) 0

C) 1

D) 3

Answer: A) 2

Explanation: 2 is the only even prime and the smallest prime; 1 is not prime.

Q91. The number 0 is?

A) Positive

B) Neither positive nor negative

C) Negative

D) Odd

Answer: B) Neither positive nor negative

Explanation: Zero is neutral; it is however an even number.

Q92. 3³ = ?

A) 9

B) 18

C) 81

D) 27

Answer: D) 27

Explanation: 3 × 3 × 3 = 27.

Q93. √144 = ?

A) 12

B) 10

C) 14

D) 16

Answer: A) 12

Explanation: 12 × 12 = 144.

Q94. 15² = ?

A) 125

B) 200

C) 250

D) 225

Answer: D) 225

Explanation: 15 × 15 = 225. Trick for numbers ending in 5: 1×2 = 2, append 25.

Q95. The sum of the first five prime numbers (2+3+5+7+11) = ?

A) 28

B) 26

C) 30

D) 32

Answer: A) 28

Explanation: 2 + 3 + 5 + 7 + 11 = 28.

Q96. The next number in the series 2, 4, 8, 16, … is?

A) 18

B) 24

C) 32

D) 64

Answer: C) 32

Explanation: Each term doubles: 16 × 2 = 32.

Q97. 100 ÷ 10 × 2 = ?

A) 5

B) 10

C) 200

D) 20

Answer: D) 20

Explanation: Left to right: 100 ÷ 10 = 10, then 10 × 2 = 20 (BODMAS: ÷ and × are equal rank).

Q98. −5 + 8 = ?

A) 3

B) −3

C) 13

D) −13

Answer: A) 3

Explanation: Moving 8 steps up from −5 lands on +3.

Q99. Which of these numbers is even?

A) 21

B) 44

C) 33

D) 55

Answer: B) 44

Explanation: Even numbers end in 0, 2, 4, 6 or 8 — only 44 qualifies.

Q100. 1/2 + 1/4 = ?

A) 3/4

B) 1/6

C) 2/6

D) 2/4

Answer: A) 3/4

Explanation: Common denominator 4: 2/4 + 1/4 = 3/4.

Speed Shortcuts That Save Minutes

These shortcuts cover the question types that repeat most often in basic mathematics MCQs of PPSC, FPSC and NTS tests. For concept clarity alongside practice, free video lessons on these topics are available at Khan Academy’s math section — pair it with these basic mathematics MCQs for your weak topics.

Percent swap: x% of y = y% of x — so 16% of 25 becomes the easier 25% of 16 = 4.
Fraction-percent pairs: 12.5% = 1/8, 25% = 1/4, 33.33% = 1/3, 62.5% = 5/8, 87.5% = 7/8.
Successive percent change: a and b together = a + b + (a×b)/100 (use minus for decreases).
Together-work shortcut: (a × b) ÷ (a + b) days when two people take a and b days.
Squares of numbers ending in 5: 25² → 2×3 = 6, append 25 → 625.
Divisibility by 3: digit sum divisible by 3 → number divisible by 3 (same idea with 9 for nine).

Consolidated Answer Key (1–100)

Q1–10: A, A, D, A, D, B, C, B, A, B
Q11–20: D, D, C, A, C, C, D, D, C, A
Q21–30: D, C, B, C, B, B, A, C, B, B
Q31–40: D, C, B, A, C, C, B, A, C, B
Q41–50: B, C, A, C, A, B, D, D, A, D
Q51–60: B, A, D, D, C, C, D, A, B, C
Q61–70: D, B, D, D, C, C, D, B, B, A
Q71–80: C, A, D, A, C, B, B, D, A, C
Q81–90: D, C, C, A, D, B, A, B, B, A
Q91–100: B, D, A, D, A, C, D, A, B, A

Related Preparation on SirNadir.com

Frequently Asked Questions

Which math topics are most asked in one-paper exams?

Percentage, average, ratio, profit and loss, and simple interest make up most of the basic mathematics MCQs section. Time-work and mensuration appear less often but are formula-based, so they are easy marks once practised.

How can I solve math MCQs faster?

Learn the fraction-percent pairs and the shortcuts listed above, and always check options first — in many questions, eliminating two wrong options is faster than full calculation.

Is calculator use allowed in the exam?

No — written tests are pen-and-paper. That is why speed shortcuts and mental math matter more than long methods.

How many math MCQs should I practise daily?

20 timed basic mathematics MCQs daily (one minute each) with full review of mistakes. In three weeks this builds both speed and accuracy.

Last reviewed: 18 October 2026 by SirNadir.com editorial team. All solutions are calculated and written originally for this post. Found a correction? Let us know in the comments so we can review and update it.