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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 137 · 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: 5 : 8, 7 : 10, 9 : 12. What is 6 : ? (a) 11 (b) 8 (c) 9 (d) 10
  2. 2.What is 25% of 380? (a) 190 (b) 285 (c) 950 (d) 95
  3. 3.A shopkeeper buys a toy for ₹380 and sells it for ₹532. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  4. 4.Which fraction is greater: 3/10 or 8/9? (a) They are equal (b) 3/10 (c) 8/9
  5. 5.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 83 (c) 74 (d) 35
  6. 6.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 55 (c) 87 (d) 40
  7. 7.3.06 + 2.8 = ? (a) 5.96 (b) 3.34 (c) 5.76 (d) 5.86
  8. 8.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 58 (c) 32 (d) 31
  9. 9.₹3000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹450 (b) ₹3090 (c) ₹3540 (d) ₹3450
  10. 10.What is the value of the digit 9 in 19.243? (a) 0.09 (b) 90 (c) 0.9 (d) 9
  11. 11.2/7 + 4/5 = ? (a) 39/35 (b) 37/35 (c) 38/35 (d) 1/2
  12. 12.What is the average of all the whole numbers from 50 to 88? (a) 38 (b) 19 (c) 70 (d) 69
  13. 13.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 11% (b) 5% (c) 15% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 6% (b) 5% (c) 44% (d) 10%
  15. 15.Every pair follows the same rule: 3 : 5, 6 : 11, 8 : 15. What is 7 : ? (a) 14 (b) 9 (c) 12 (d) 13
  16. 16.4.53 + 1.1 = ? (a) 4.64 (b) 5.53 (c) 5.63 (d) 5.73
  17. 17.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹94 (b) ₹47 (c) ₹188 (d) ₹141
  18. 18.2/3 + 2/4 = ? (a) 7/6 (b) 4/7 (c) 5/4 (d) 13/12
  19. 19.If 3 mangoes cost ₹39, how much do 10 mangoes cost? (a) ₹46 (b) ₹143 (c) ₹390 (d) ₹130
  20. 20.What is the average of 76, 65, 55 and 68? (a) 88 (b) 65 (c) 66 (d) 67
  21. 21.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 54 cm (c) 27 cm (d) 44 cm
  22. 22.Which is the greatest: 0.026, 0.88, 0.793, 0.8? (a) 0.026 (b) 0.88 (c) 0.793 (d) 0.8
  23. 23.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 21 sq cm (d) 14 sq cm
  24. 24.2.67 + 2.2 = ? (a) 4.77 (b) 4.87 (c) 2.89 (d) 4.97
  25. 25.Which fraction is greater: 3/4 or 3/5? (a) 3/5 (b) They are equal (c) 3/4
  26. 26.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 55 (c) 70 (d) 20
  27. 27.In how many years will ₹3000 earn ₹360 simple interest at 6% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  29. 29.₹88 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹8 (b) ₹44 (c) ₹24 (d) ₹64
  30. 30.3.17 + 4.3 = ? (a) 3.6 (b) 7.47 (c) 7.57 (d) 7.37
  31. 31.2/3 + 2/9 = ? (a) 7/9 (b) 1 (c) 1/3 (d) 8/9
  32. 32.What is the value of the digit 7 in 71.234? (a) 7 (b) 70 (c) 0.7 (d) 0.07
  33. 33.A shopkeeper buys a toy for ₹980 and sells it for ₹588. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  34. 34.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 48 (c) 60 (d) 93
  35. 35.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 20 (c) 84 (d) 42
  36. 36.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 56 (b) 58 (c) 106 (d) 66
  37. 37.In how many years will ₹9500 earn ₹2375 simple interest at 5% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  38. 38.Which is the smallest: 0.187, 0.2, 0.27, 0.046? (a) 0.187 (b) 0.2 (c) 0.27 (d) 0.046
  39. 39.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 42 cm (d) 90 cm
  40. 40.Which fraction is greater: 4/5 or 1/4? (a) 1/4 (b) They are equal (c) 4/5

Answer key

  1. 9
  2. 95
  3. 40%
  4. 8/9
  5. 74
  6. 87
  7. 5.86
  8. 59
  9. ₹3450
  10. 9
  11. 38/35
  12. 69
  13. 10%
  14. 5%
  15. 13
  16. 5.63
  17. ₹141
  18. 7/6
  19. ₹130
  20. 66
  21. 54 cm
  22. 0.88
  23. 14 sq cm
  24. 4.87
  25. 3/4
  26. 70
  27. 2 years
  28. 169 sq cm
  29. ₹64
  30. 7.47
  31. 8/9
  32. 70
  33. 40%
  34. 60
  35. 42
  36. 106
  37. 5 years
  38. 0.046
  39. 42 cm
  40. 4/5

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