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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 636 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.Every pair follows the same rule: 4 : 15, 5 : 24, 6 : 35. What is 3 : ? (a) 14 (b) 9 (c) 8 (d) 2
  2. 2.What is the average of 43, 47, 23, 32 and 40? (a) 38 (b) 36 (c) 39 (d) 37
  3. 3.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  4. 4.What is the average of all the whole numbers from 5 to 23? (a) 14 (b) 9 (c) 15 (d) 18
  5. 5.1/2 + 6/8 = ? (a) 5/4 (b) 9/8 (c) 7/10 (d) 11/8
  6. 6.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 25% (b) 35% (c) 42% (d) 30%
  7. 7.If 10 September is a Friday, what day of the week is 1 October? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  8. 8.If 5 March is a Monday, what day of the week is 19 March? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  9. 9.What is the remainder when 77 is divided by 3? (a) 2 (b) 0 (c) 1
  10. 10.If 7x + 21 = 49, what is x? (a) 10 (b) 4 (c) 28 (d) 5
  11. 11.If 8 December is a Monday, what day of the week is 20 December? (a) Friday (b) Saturday (c) Sunday (d) Monday
  12. 12.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 432 (b) 144 (c) 72 (d) 42
  13. 13.If x/6 + 15 = 27, what is x? (a) 147 (b) 72 (c) 252 (d) 12
  14. 14.Which is the smallest: 0.33, 0.3, 0.227, 0.017? (a) 0.33 (b) 0.3 (c) 0.227 (d) 0.017
  15. 15.What is 2/3 of 18? (a) 12 (b) 13 (c) 18 (d) 6
  16. 16.What is the value of the digit 4 in 63.495? (a) 0.004 (b) 0.4 (c) 4 (d) 0.04
  17. 17.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 22 cm (c) 20 cm (d) 24 cm
  18. 18.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 3 : ? (a) 27 (b) 12 (c) 28 (d) 9
  19. 19.What is 5% of 860? (a) 430 (b) 43 (c) 86 (d) 817
  20. 20.If 5x + 7 = 2x + 28, what is x? (a) 3 (b) 9 (c) 7 (d) 8
  21. 21.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 37 (b) 72 (c) 45 (d) 32
  22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 252 (c) 33 (d) 168
  23. 23.What is 30% of 240? (a) 168 (b) 144 (c) 720 (d) 72
  24. 24.Today is Sunday. What day of the week will it be after 80 days? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
  25. 25.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 32 (b) 8 (c) 9 (d) 62
  26. 26.What is 25% of 220? (a) 550 (b) 110 (c) 165 (d) 55
  27. 27.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 48 (b) 43 (c) 6 (d) 85
  28. 28.5.02 + 8.9 = ? (a) 13.82 (b) 14.02 (c) 13.92 (d) 5.91
  29. 29.What is 20% of 980? (a) 784 (b) 392 (c) 1960 (d) 196
  30. 30.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 54 sq cm (d) 30 sq cm
  31. 31.Today is Tuesday. What day of the week will it be after 16 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  33. 33.What is 1/2 of 22? (a) 22 (b) 12 (c) 11 (d) 10
  34. 34.Which is the greatest: 0.034, 0.26, 0.193, 0.2? (a) 0.034 (b) 0.26 (c) 0.193 (d) 0.2
  35. 35.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 3 cm (c) 4 cm (d) 2 cm
  36. 36.What is 2/3 of 27? (a) 27 (b) 18 (c) 19 (d) 9
  37. 37.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 10 (c) 11 (d) 33
  38. 38.₹336 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹192 (b) ₹48 (c) ₹144 (d) ₹168
  39. 39.What is the value of the digit 9 in 93.421? (a) 0.09 (b) 9 (c) 0.9 (d) 90
  40. 40.If x/6 + 14 = 21, what is x? (a) 112 (b) 7 (c) 210 (d) 42

Answer key

  1. 8
  2. 37
  3. 58 cm
  4. 14
  5. 5/4
  6. 30%
  7. Friday
  8. Monday
  9. 2
  10. 4
  11. Saturday
  12. 72
  13. 72
  14. 0.017
  15. 12
  16. 0.4
  17. 24 cm
  18. 27
  19. 43
  20. 7
  21. 72
  22. 84
  23. 72
  24. Wednesday
  25. 8
  26. 55
  27. 48
  28. 13.92
  29. 196
  30. 54 sq cm
  31. Thursday
  32. 49 sq cm
  33. 11
  34. 0.26
  35. 2 cm
  36. 18
  37. 10
  38. ₹192
  39. 90
  40. 42

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