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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 613 · 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.₹87 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹87 (b) ₹29 (c) ₹58 (d) ₹59
  2. 2.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 105 (b) 36 (c) 210 (d) 315
  3. 3.Which fraction is greater: 1/7 or 1/6? (a) They are equal (b) 1/6 (c) 1/7
  4. 4.If 8x − 61 = 59, what is x? (a) 16 (b) 15 (c) 14 (d) 120
  5. 5.If 3x + 11 = x + 23, what is x? (a) 7 (b) 3 (c) 6 (d) 17
  6. 6.If x/6 + 11 = 18, what is x? (a) 97 (b) 7 (c) 174 (d) 42
  7. 7.Two ribbons are 70 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 70 cm (c) 10 cm (d) 5 cm
  8. 8.If 6 notebooks cost ₹126, how much do 3 notebooks cost? (a) ₹84 (b) ₹63 (c) ₹123 (d) ₹378
  9. 9.Which fraction is greater: 9/10 or 1/3? (a) 9/10 (b) They are equal (c) 1/3
  10. 10.A bag marked ₹860 is sold at a 50% discount. What is its selling price? (a) ₹1290 (b) ₹430 (c) ₹810 (d) ₹431
  11. 11.If x/5 + 12 = 19, what is x? (a) 7 (b) 155 (c) 83 (d) 35
  12. 12.What is the smallest number you must add to 549 to make it divisible by 8? (a) 3 (b) 5 (c) 2 (d) 4
  13. 13.Which of these numbers is divisible by 11? (a) 6373 (b) 6380 (c) 6390 (d) 6398
  14. 14.What is the smallest number you must add to 135 to make it divisible by 10? (a) 7 (b) 4 (c) 6 (d) 5
  15. 15.A shopkeeper buys a toy for ₹380 and sells it for ₹285. What is his loss percent? (a) 95% (b) 30% (c) 25% (d) 20%
  16. 16.If 5x + 5 = x + 9, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  17. 17.Which is the greatest: 0.071, 0.582, 0.6, 0.65? (a) 0.071 (b) 0.582 (c) 0.6 (d) 0.65
  18. 18.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 10 days
  19. 19.If x/2 + 3 = 6, what is x? (a) 18 (b) 6 (c) 9 (d) 3
  20. 20.In how many years will ₹2500 earn ₹1200 simple interest at 12% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
  21. 21.Which of these numbers is divisible by 3? (a) 2198 (b) 2199 (c) 2200 (d) 2203
  22. 22.If 13 May is a Sunday, what day of the week is 7 June? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  23. 23.Which is the greatest: 0.47, 0.368, 0.058, 0.4? (a) 0.47 (b) 0.368 (c) 0.058 (d) 0.4
  24. 24.If 8 notebooks cost ₹40, how much do 7 notebooks cost? (a) ₹280 (b) ₹40 (c) ₹35 (d) ₹39
  25. 25.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 35 (c) 22 (d) 52
  26. 26.Two ribbons are 24 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 24 cm (c) 168 cm (d) 2 cm
  27. 27.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 3 : ? (a) 27 (b) 26 (c) 28 (d) 3
  28. 28.5.13 + 1.3 = ? (a) 5.26 (b) 6.33 (c) 6.43 (d) 6.53
  29. 29.Every pair follows the same rule: 3 : 11, 4 : 12, 8 : 16. What is 7 : ? (a) 15 (b) 14 (c) 16 (d) 17
  30. 30.What is the simple interest on ₹7500 at 9% per year for 2 years? (a) ₹675 (b) ₹2025 (c) ₹8850 (d) ₹1350
  31. 31.What is 1/5 of 30? (a) 24 (b) 7 (c) 6 (d) 12
  32. 32.If 2 notebooks cost ₹14, how much do 7 notebooks cost? (a) ₹19 (b) ₹98 (c) ₹56 (d) ₹49
  33. 33.₹8000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1280 (b) ₹8640 (c) ₹9920 (d) ₹9280
  34. 34.Today is Saturday. What day of the week will it be after 74 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  35. 35.Every pair follows the same rule: 2 : 7, 4 : 13, 5 : 16. What is 9 : ? (a) 28 (b) 29 (c) 14 (d) 27
  36. 36.Which fraction is greater: 6/11 or 1/12? (a) 1/12 (b) 6/11 (c) They are equal
  37. 37.Every pair follows the same rule: 2 : 2, 4 : 12, 8 : 32. What is 9 : ? (a) 36 (b) 38 (c) 9 (d) 37
  38. 38.Every pair follows the same rule: 5 : 15, 6 : 17, 8 : 21. What is 2 : ? (a) 6 (b) 12 (c) 10 (d) 9
  39. 39.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 42 (c) 52 (d) 88
  40. 40.What is 10% of 260? (a) 52 (b) 234 (c) 260 (d) 26

Answer key

  1. ₹58
  2. 105
  3. 1/6
  4. 15
  5. 6
  6. 42
  7. 10 cm
  8. ₹63
  9. 9/10
  10. ₹430
  11. 35
  12. 3
  13. 6380
  14. 5
  15. 25%
  16. 1
  17. 0.65
  18. 4 days
  19. 6
  20. 4 years
  21. 2199
  22. Thursday
  23. 0.47
  24. ₹35
  25. 52
  26. 4 cm
  27. 27
  28. 6.43
  29. 15
  30. ₹1350
  31. 6
  32. ₹49
  33. ₹9280
  34. Wednesday
  35. 28
  36. 6/11
  37. 37
  38. 9
  39. 88
  40. 26

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