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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 669 · 40 questions
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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 rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 25 sq cm (c) 50 sq cm (d) 165 sq cm
  2. 2.Which fraction is greater: 1/7 or 2/9? (a) 1/7 (b) 2/9 (c) They are equal
  3. 3.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 31 (b) 8 (c) 27 (d) 25
  4. 4.Which fraction is greater: 1/5 or 7/11? (a) They are equal (b) 7/11 (c) 1/5
  5. 5.If 2 mangoes cost ₹16, how much do 5 mangoes cost? (a) ₹48 (b) ₹80 (c) ₹19 (d) ₹40
  6. 6.What is 30% of 160? (a) 112 (b) 480 (c) 48 (d) 96
  7. 7.5/9 + 2/6 = ? (a) 7/15 (b) 5/6 (c) 17/18 (d) 8/9
  8. 8.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 160 min (c) 40 min (d) 28 min
  9. 9.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 336 (b) 40 (c) 168 (d) 84
  10. 10.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 32 days (c) 2 days (d) 33 days
  11. 11.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  12. 12.3/7 + 1/2 = ? (a) 6/7 (b) 13/14 (c) 4/9 (d) 1
  13. 13.If 11 March is a Tuesday, what day of the week is 25 March? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  14. 14.What is the smallest number you must add to 94 to make it divisible by 6? (a) 1 (b) 2 (c) 4 (d) 3
  15. 15.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
  16. 16.What is the average of 52, 39, 39, 55 and 85? (a) 55 (b) 56 (c) 53 (d) 54
  17. 17.If 8x + 29 = 53, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 5% (b) 15% (c) 78% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  20. 20.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 20 (c) 10 (d) 12
  21. 21.What is the smallest number you must add to 197 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  22. 22.3/5 + 2/3 = ? (a) 4/3 (b) 19/15 (c) 5/8 (d) 6/5
  23. 23.If 15 August is a Tuesday, what day of the week is 7 September? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  24. 24.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 7 : ? (a) 53 (b) 28 (c) 19 (d) 49
  25. 25.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 28 (c) 16 (d) 29
  26. 26.If x/2 + 8 = 13, what is x? (a) 10 (b) 5 (c) 18 (d) 42
  27. 27.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 70 sq cm
  28. 28.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  29. 29.What is the average of 55, 81, 69 and 63? (a) 68 (b) 67 (c) 69 (d) 66
  30. 30.A bag marked ₹1500 is sold at a 50% discount. What is its selling price? (a) ₹750 (b) ₹2250 (c) ₹751 (d) ₹1450
  31. 31.Which is the greatest: 0.361, 0.014, 0.4, 0.49? (a) 0.361 (b) 0.014 (c) 0.4 (d) 0.49
  32. 32.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
  33. 33.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 43 (c) 31 (d) 15
  34. 34.Which is the greatest: 0.047, 0.52, 0.453, 0.5? (a) 0.047 (b) 0.52 (c) 0.453 (d) 0.5
  35. 35.4 workers can build a wall in 14 days. How many days will 8 workers take, working at the same speed? (a) 18 days (b) 10 days (c) 28 days (d) 7 days
  36. 36.1.71 + 1.4 = ? (a) 3.21 (b) 1.85 (c) 3.11 (d) 3.01
  37. 37.A bag marked ₹1720 is sold at a 50% discount. What is its selling price? (a) ₹1670 (b) ₹861 (c) ₹860 (d) ₹2580
  38. 38.A shopkeeper buys a toy for ₹880 and sells it for ₹1320. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  39. 39.Every pair follows the same rule: 3 : 11, 5 : 15, 6 : 17. What is 9 : ? (a) 22 (b) 23 (c) 17 (d) 24
  40. 40.What is the remainder when 139 is divided by 4? (a) 2 (b) 3 (c) 0 (d) 1

Answer key

  1. 150 sq cm
  2. 2/9
  3. 31
  4. 7/11
  5. ₹40
  6. 48
  7. 8/9
  8. 40 min
  9. 84
  10. 32 days
  11. 50%
  12. 13/14
  13. Tuesday
  14. 2
  15. 80 sq cm
  16. 54
  17. 3
  18. 10%
  19. 25%
  20. 20
  21. 3
  22. 19/15
  23. Thursday
  24. 49
  25. 28
  26. 10
  27. 60 sq cm
  28. 50%
  29. 67
  30. ₹750
  31. 0.49
  32. 21 sq cm
  33. 43
  34. 0.52
  35. 7 days
  36. 3.11
  37. ₹860
  38. 50%
  39. 23
  40. 3

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