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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 120 · 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.If 8 pens cost ₹72, how much do 12 pens cost? (a) ₹117 (b) ₹864 (c) ₹76 (d) ₹108
  2. 2.Every pair follows the same rule: 5 : 35, 7 : 49, 9 : 63. What is 4 : ? (a) 29 (b) 34 (c) 27 (d) 28
  3. 3.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 35 (c) 41 (d) 68
  4. 4.A teacher has 36 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 27 (b) 3 (c) 36 (d) 9
  5. 5.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 25 (c) 30 (d) 150
  6. 6.If 24 October is a Friday, what day of the week is 17 November? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  7. 7.What is the simple interest on ₹8000 at 9% per year for 2 years? (a) ₹9440 (b) ₹1440 (c) ₹720 (d) ₹2160
  8. 8.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 9 (b) 3 (c) 12 (d) 27
  9. 9.Every pair follows the same rule: 3 : 20, 4 : 25, 6 : 35. What is 5 : ? (a) 31 (b) 30 (c) 22 (d) 29
  10. 10.The simple interest on ₹7500 for 3 years is ₹2025. What is the rate per year? (a) 10% (b) 9% (c) 8% (d) 27%
  11. 11.What is the simple interest on ₹8000 at 7% per year for 4 years? (a) ₹10240 (b) ₹2800 (c) ₹2240 (d) ₹560
  12. 12.Which is the greatest: 0.761, 0.092, 0.8, 0.89? (a) 0.761 (b) 0.092 (c) 0.8 (d) 0.89
  13. 13.If 30 August is a Sunday, what day of the week is 5 September? (a) Sunday (b) Friday (c) Monday (d) Saturday
  14. 14.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 66%
  15. 15.Which fraction is greater: 3/10 or 1/7? (a) 3/10 (b) 1/7 (c) They are equal
  16. 16.What is the average of 33, 35, 40 and 52? (a) 41 (b) 39 (c) 40 (d) 42
  17. 17.Every pair follows the same rule: 2 : 9, 3 : 13, 8 : 33. What is 7 : ? (a) 30 (b) 29 (c) 14 (d) 28
  18. 18.If 6x + 3 = 15, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  19. 19.In how many years will ₹9500 earn ₹760 simple interest at 4% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
  20. 20.Which is the smallest: 0.53, 0.023, 0.5, 0.434? (a) 0.53 (b) 0.023 (c) 0.5 (d) 0.434
  21. 21.Every pair follows the same rule: 6 : 17, 7 : 18, 8 : 19. What is 3 : ? (a) 15 (b) 13 (c) 16 (d) 14
  22. 22.If 6 pens cost ₹96, how much do 10 pens cost? (a) ₹176 (b) ₹960 (c) ₹160 (d) ₹100
  23. 23.A bag marked ₹1100 is sold at a 10% discount. What is its selling price? (a) ₹110 (b) ₹1090 (c) ₹1210 (d) ₹990
  24. 24.If x/6 + 6 = 18, what is x? (a) 144 (b) 12 (c) 72 (d) 102
  25. 25.Which fraction is greater: 7/9 or 2/3? (a) 2/3 (b) They are equal (c) 7/9
  26. 26.If 5 pens cost ₹30, how much do 12 pens cost? (a) ₹72 (b) ₹78 (c) ₹360 (d) ₹37
  27. 27.Which fraction is greater: 2/9 or 2/5? (a) 2/9 (b) They are equal (c) 2/5
  28. 28.Today is Tuesday. What day of the week will it be after 73 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  29. 29.What is the value of the digit 3 in 59.382? (a) 0.03 (b) 0.003 (c) 3 (d) 0.3
  30. 30.What is the simple interest on ₹4000 at 11% per year for 2 years? (a) ₹1320 (b) ₹880 (c) ₹440 (d) ₹4880
  31. 31.The simple interest on ₹2500 for 2 years is ₹600. What is the rate per year? (a) 12% (b) 11% (c) 13% (d) 24%
  32. 32.If 8 notebooks cost ₹64, how much do 9 notebooks cost? (a) ₹72 (b) ₹65 (c) ₹80 (d) ₹576
  33. 33.Every pair follows the same rule: 5 : 20, 6 : 24, 8 : 32. What is 7 : ? (a) 27 (b) 22 (c) 28 (d) 29
  34. 34.Which fraction is greater: 3/11 or 2/3? (a) 3/11 (b) They are equal (c) 2/3
  35. 35.1/2 + 2/5 = ? (a) 4/5 (b) 1 (c) 9/10 (d) 3/7
  36. 36.A bag marked ₹440 is sold at a 50% discount. What is its selling price? (a) ₹220 (b) ₹390 (c) ₹660 (d) ₹221
  37. 37.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 54 cm (d) 27 cm
  38. 38.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 94 (b) 52 (c) 46 (d) 54
  39. 39.What is 1/4 of 12? (a) 4 (b) 9 (c) 6 (d) 3
  40. 40.₹2500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹2725 (b) ₹3625 (c) ₹900 (d) ₹3400

Answer key

  1. ₹108
  2. 28
  3. 41
  4. 9
  5. 30
  6. Monday
  7. ₹1440
  8. 27
  9. 30
  10. 9%
  11. ₹2240
  12. 0.89
  13. Saturday
  14. 30%
  15. 3/10
  16. 40
  17. 29
  18. 2
  19. 2 years
  20. 0.023
  21. 14
  22. ₹160
  23. ₹990
  24. 72
  25. 7/9
  26. ₹72
  27. 2/5
  28. Friday
  29. 0.3
  30. ₹880
  31. 12%
  32. ₹72
  33. 28
  34. 2/3
  35. 9/10
  36. ₹220
  37. 54 cm
  38. 94
  39. 3
  40. ₹3400

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