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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 202 · 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 fraction is greater: 1/5 or 7/10? (a) They are equal (b) 1/5 (c) 7/10
  2. 2.Which fraction is greater: 6/7 or 2/11? (a) They are equal (b) 2/11 (c) 6/7
  3. 3.Every pair follows the same rule: 2 : 11, 4 : 13, 9 : 18. What is 5 : ? (a) 16 (b) 15 (c) 14 (d) 13
  4. 4.What is the units digit of 3^15? (a) 9 (b) 1 (c) 7 (d) 3
  5. 5.What is the smallest number you must add to 185 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  6. 6.If 6 pens cost ₹36, how much do 5 pens cost? (a) ₹30 (b) ₹36 (c) ₹35 (d) ₹180
  7. 7.What is the units digit of 9^36? (a) 1 (b) 2 (c) 9 (d) 0
  8. 8.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 36 (c) 210 (d) 105
  9. 9.Every pair follows the same rule: 3 : 21, 5 : 23, 6 : 24. What is 9 : ? (a) 28 (b) 63 (c) 26 (d) 27
  10. 10.Every pair follows the same rule: 4 : 15, 6 : 35, 7 : 48. What is 9 : ? (a) 81 (b) 80 (c) 20 (d) 74
  11. 11.A teacher has 28 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 1 (d) 28
  12. 12.Every pair follows the same rule: 2 : 2, 5 : 8, 7 : 12. What is 4 : ? (a) 7 (b) 6 (c) 5 (d) 4
  13. 13.What is the average of 39, 60, 43, 42, 33 and 65? (a) 49 (b) 46 (c) 47 (d) 48
  14. 14.If 4 mangoes cost ₹28, how much do 8 mangoes cost? (a) ₹63 (b) ₹56 (c) ₹32 (d) ₹224
  15. 15.5/6 + 1/4 = ? (a) 3/5 (b) 7/6 (c) 1 (d) 13/12
  16. 16.What is the units digit of 8^38? (a) 2 (b) 4 (c) 6 (d) 8
  17. 17.Every pair follows the same rule: 4 : 8, 5 : 10, 8 : 16. What is 7 : ? (a) 14 (b) 13 (c) 11 (d) 15
  18. 18.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 28 cm (d) 22 cm
  19. 19.Which is the greatest: 0.7, 0.687, 0.059, 0.73? (a) 0.7 (b) 0.687 (c) 0.059 (d) 0.73
  20. 20.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 25% (b) 20% (c) 76% (d) 15%
  21. 21.4.81 + 4.1 = ? (a) 9.01 (b) 8.81 (c) 8.91 (d) 5.22
  22. 22.If 15 April is a Tuesday, what day of the week is 7 May? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  23. 23.₹169 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹117 (b) ₹52 (c) ₹13 (d) ₹130
  24. 24.Every pair follows the same rule: 4 : 7, 6 : 11, 8 : 15. What is 9 : ? (a) 16 (b) 17 (c) 18 (d) 12
  25. 25.If 7 kites cost ₹70, how much do 11 kites cost? (a) ₹110 (b) ₹120 (c) ₹74 (d) ₹770
  26. 26.What is 20% of 400? (a) 800 (b) 80 (c) 160 (d) 320
  27. 27.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 24 min (c) 4 min (d) 96 min
  28. 28.If 3 kites cost ₹48, how much do 4 kites cost? (a) ₹64 (b) ₹49 (c) ₹192 (d) ₹80
  29. 29.If 3x + 29 = 65, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  30. 30.Which is the greatest: 0.287, 0.048, 0.3, 0.34? (a) 0.287 (b) 0.048 (c) 0.3 (d) 0.34
  31. 31.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 28 (b) 66 (c) 80 (d) 59
  32. 32.Which is the smallest: 0.31, 0.269, 0.3, 0.015? (a) 0.31 (b) 0.269 (c) 0.3 (d) 0.015
  33. 33.Which of these numbers is divisible by 8? (a) 964 (b) 982 (c) 975 (d) 968
  34. 34.9 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 11 days (d) 5 days
  35. 35.₹315 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹35 (b) ₹315 (c) ₹281 (d) ₹280
  36. 36.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 6 : ? (a) 36 (b) 8 (c) 42 (d) 12
  37. 37.If 3x + 25 = 43, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  38. 38.The simple interest on ₹8000 for 2 years is ₹320. What is the rate per year? (a) 4% (b) 3% (c) 2% (d) 1%
  39. 39.What is the remainder when 165 is divided by 8? (a) 6 (b) 3 (c) 4 (d) 5
  40. 40.What is the average of 76, 68, 58 and 70? (a) 70 (b) 67 (c) 68 (d) 69

Answer key

  1. 7/10
  2. 6/7
  3. 14
  4. 7
  5. 3
  6. ₹30
  7. 1
  8. 105
  9. 27
  10. 80
  11. 7
  12. 6
  13. 47
  14. ₹56
  15. 13/12
  16. 4
  17. 14
  18. 22 cm
  19. 0.73
  20. 20%
  21. 8.91
  22. Wednesday
  23. ₹117
  24. 17
  25. ₹110
  26. 80
  27. 24 min
  28. ₹64
  29. 12
  30. 0.34
  31. 80
  32. 0.015
  33. 968
  34. 6 days
  35. ₹280
  36. 36
  37. 6
  38. 2%
  39. 5
  40. 68

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