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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 649 · 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.A bag marked ₹1660 is sold at a 50% discount. What is its selling price? (a) ₹831 (b) ₹2490 (c) ₹830 (d) ₹1610
  2. 2.If 7x + 6 = x + 42, what is x? (a) 8 (b) 5 (c) 7 (d) 6
  3. 3.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 40 (c) 65 (d) 100
  4. 4.What is the remainder when 261 is divided by 12? (a) 8 (b) 3 (c) 10 (d) 9
  5. 5.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 24 sq cm (d) 20 sq cm
  6. 6.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 30 (c) 189 (d) 63
  7. 7.What is the average of 39, 45, 38, 56 and 87? (a) 54 (b) 52 (c) 55 (d) 53
  8. 8.If 6x + 18 = 90, what is x? (a) 72 (b) 12 (c) 13 (d) 18
  9. 9.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 8 (c) 62 (d) 58
  10. 10.If 29 January is a Tuesday, what day of the week is 1 February? (a) Friday (b) Saturday (c) Thursday (d) Sunday
  11. 11.9.88 + 9.7 = ? (a) 19.58 (b) 19.48 (c) 19.68 (d) 10.85
  12. 12.4.51 + 9.8 = ? (a) 14.41 (b) 14.21 (c) 14.31 (d) 5.49
  13. 13.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  14. 14.Every pair follows the same rule: 7 : 24, 8 : 27, 9 : 30. What is 6 : ? (a) 21 (b) 22 (c) 23 (d) 20
  15. 15.Which is the greatest: 0.21, 0.143, 0.075, 0.2? (a) 0.21 (b) 0.143 (c) 0.075 (d) 0.2
  16. 16.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 45% (b) 40% (c) 35% (d) 41%
  17. 17.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 72 (b) 49 (c) 57 (d) 113
  18. 18.5.96 + 3.9 = ? (a) 9.76 (b) 9.86 (c) 6.35 (d) 9.96
  19. 19.If 9 May is a Saturday, what day of the week is 17 May? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  20. 20.What is 1/3 of 27? (a) 9 (b) 18 (c) 8 (d) 10
  21. 21.Which of these numbers is divisible by 9? (a) 1278 (b) 1280 (c) 1291 (d) 1275
  22. 22.4.25 + 7.9 = ? (a) 12.15 (b) 5.04 (c) 12.25 (d) 12.05
  23. 23.What is the average of 58, 37, 56 and 57? (a) 52 (b) 51 (c) 53 (d) 54
  24. 24.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 18 (c) 54 (d) 36
  25. 25.If 7x + 7 = 2x + 37, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  26. 26.What is the remainder when 839 is divided by 11? (a) 4 (b) 8 (c) 3 (d) 2
  27. 27.What is 1/2 of 12? (a) 12 (b) 7 (c) 6 (d) 5
  28. 28.In how many years will ₹2500 earn ₹750 simple interest at 10% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  29. 29.If x/4 + 10 = 21, what is x? (a) 44 (b) 11 (c) 74 (d) 124
  30. 30.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 2 : ? (a) 2 (b) 9 (c) 8 (d) 7
  31. 31.If 22 May is a Monday, what day of the week is 13 June? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  32. 32.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 3 days (d) 5 days
  33. 33.What is 2/3 of 18? (a) 6 (b) 13 (c) 12 (d) 18
  34. 34.Which is the greatest: 0.7, 0.621, 0.067, 0.74? (a) 0.7 (b) 0.621 (c) 0.067 (d) 0.74
  35. 35.1/3 + 1/7 = ? (a) 1/5 (b) 10/21 (c) 11/21 (d) 3/7
  36. 36.If 16 April is a Tuesday, what day of the week is 1 May? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  37. 37.5.65 + 2.5 = ? (a) 8.25 (b) 8.15 (c) 5.9 (d) 8.05
  38. 38.If 5x − 3 = 7, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  39. 39.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 13 (c) 24 (d) 12
  40. 40.What is the remainder when 362 is divided by 7? (a) 6 (b) 4 (c) 2 (d) 5

Answer key

  1. ₹830
  2. 6
  3. 100
  4. 9
  5. 20 sq cm
  6. 63
  7. 53
  8. 12
  9. 62
  10. Friday
  11. 19.58
  12. 14.31
  13. 20%
  14. 21
  15. 0.21
  16. 40%
  17. 113
  18. 9.86
  19. Sunday
  20. 9
  21. 1278
  22. 12.15
  23. 52
  24. 18
  25. 6
  26. 3
  27. 6
  28. 3 years
  29. 44
  30. 8
  31. Tuesday
  32. 6 days
  33. 12
  34. 0.74
  35. 10/21
  36. Wednesday
  37. 8.15
  38. 2
  39. 12
  40. 5

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