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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 560 · 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.Which is the smallest: 0.167, 0.22, 0.013, 0.2? (a) 0.167 (b) 0.22 (c) 0.013 (d) 0.2
  2. 2.1/3 + 2/3 = ? (a) 2/3 (b) 1 (c) 4/3 (d) 1/2
  3. 3.Which of these numbers is divisible by 6? (a) 4305 (b) 4309 (c) 4317 (d) 4308
  4. 4.What is the average of all the whole numbers from 21 to 37? (a) 16 (b) 29 (c) 8 (d) 30
  5. 5.Which fraction is greater: 5/8 or 1/3? (a) 5/8 (b) They are equal (c) 1/3
  6. 6.If 7 notebooks cost ₹168, how much do 5 notebooks cost? (a) ₹840 (b) ₹166 (c) ₹120 (d) ₹144
  7. 7.9.57 + 5.1 = ? (a) 10.08 (b) 14.57 (c) 14.77 (d) 14.67
  8. 8.5.91 + 8.1 = ? (a) 13.91 (b) 14.11 (c) 14.01 (d) 6.72
  9. 9.What is the smallest number you must add to 163 to make it divisible by 3? (a) 2 (b) 1
  10. 10.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 33 (d) 53
  11. 11.Every pair follows the same rule: 5 : 35, 7 : 49, 8 : 56. What is 6 : ? (a) 43 (b) 36 (c) 42 (d) 41
  12. 12.Today is Saturday. What day of the week will it be after 18 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  13. 13.Which fraction is greater: 1/6 or 1/11? (a) 1/11 (b) They are equal (c) 1/6
  14. 14.If 4 mangoes cost ₹64, how much do 3 mangoes cost? (a) ₹192 (b) ₹63 (c) ₹64 (d) ₹48
  15. 15.In how many years will ₹9000 earn ₹1800 simple interest at 4% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  16. 16.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 64 (b) 30 (c) 37 (d) 40
  17. 17.Every pair follows the same rule: 3 : 11, 6 : 14, 7 : 15. What is 2 : ? (a) 12 (b) 11 (c) 10 (d) 9
  18. 18.Which fraction is greater: 1/4 or 6/7? (a) They are equal (b) 6/7 (c) 1/4
  19. 19.₹3000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹480 (b) ₹3600 (c) ₹3480 (d) ₹3120
  20. 20.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 32% (b) 25% (c) 15% (d) 20%
  21. 21.What is 4/5 of 25? (a) 21 (b) 20 (c) 25 (d) 5
  22. 22.Which of these numbers is divisible by 11? (a) 1724 (b) 1701 (c) 1709 (d) 1705
  23. 23.If 13 May is a Sunday, what day of the week is 13 June? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  24. 24.Every pair follows the same rule: 2 : 3, 5 : 12, 7 : 18. What is 9 : ? (a) 23 (b) 10 (c) 25 (d) 24
  25. 25.What is 25% of 440? (a) 1100 (b) 110 (c) 220 (d) 330
  26. 26.1/6 + 2/5 = ? (a) 3/5 (b) 17/30 (c) 8/15 (d) 3/11
  27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 35% (b) 25% (c) 78% (d) 30%
  28. 28.Every pair follows the same rule: 2 : 4, 4 : 8, 9 : 18. What is 6 : ? (a) 11 (b) 12 (c) 13 (d) 8
  29. 29.What is 5% of 280? (a) 140 (b) 14 (c) 266 (d) 28
  30. 30.If 23 September is a Sunday, what day of the week is 11 October? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  31. 31.Today is Friday. What day of the week will it be after 10 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  32. 32.What is the value of the digit 4 in 87.946? (a) 0.004 (b) 4 (c) 0.4 (d) 0.04
  33. 33.₹4000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹4360 (b) ₹360 (c) ₹4120 (d) ₹4480
  34. 34.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 49? (a) 51 (b) 57 (c) 49 (d) 10
  35. 35.What is 5% of 160? (a) 80 (b) 16 (c) 152 (d) 8
  36. 36.What is the average of all the whole numbers from 42 to 76? (a) 60 (b) 59 (c) 17 (d) 34
  37. 37.7/8 + 1/4 = ? (a) 2/3 (b) 9/8 (c) 1 (d) 5/4
  38. 38.What is 3/7 of 77? (a) 33 (b) 44 (c) 34 (d) 11
  39. 39.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 9 cm (d) 3 cm
  40. 40.A bag marked ₹280 is sold at a 25% discount. What is its selling price? (a) ₹210 (b) ₹255 (c) ₹350 (d) ₹70

Answer key

  1. 0.013
  2. 1
  3. 4308
  4. 29
  5. 5/8
  6. ₹120
  7. 14.67
  8. 14.01
  9. 2
  10. 53
  11. 42
  12. Wednesday
  13. 1/6
  14. ₹48
  15. 5 years
  16. 64
  17. 10
  18. 6/7
  19. ₹3480
  20. 20%
  21. 20
  22. 1705
  23. Wednesday
  24. 24
  25. 110
  26. 17/30
  27. 30%
  28. 12
  29. 14
  30. Thursday
  31. Monday
  32. 0.04
  33. ₹4360
  34. 57
  35. 8
  36. 59
  37. 9/8
  38. 33
  39. 3 cm
  40. ₹210

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