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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 35 · 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.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 56 min (d) 224 min
  2. 2.What is the average of 43, 14, 18, 18, 17 and 64? (a) 30 (b) 31 (c) 29 (d) 28
  3. 3.If 25 August is a Saturday, what day of the week is 12 September? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  4. 4.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 84 min (d) 42 min
  5. 5.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 140 (b) 11 (c) 20 (d) 125
  6. 6.Today is Saturday. What day of the week will it be after 67 days? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 45% (b) 40% (c) 96% (d) 35%
  8. 8.If 5x + 26 = 41, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  9. 9.Every pair follows the same rule: 2 : 7, 3 : 12, 7 : 52. What is 9 : ? (a) 84 (b) 14 (c) 72 (d) 85
  10. 10.Which fraction is greater: 3/11 or 3/4? (a) They are equal (b) 3/11 (c) 3/4
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  12. 12.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 7 days (d) 10 days
  13. 13.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 10 (b) 40 (c) 21 (d) 29
  14. 14.What is the value of the digit 5 in 19.753? (a) 0.005 (b) 0.05 (c) 0.5 (d) 5
  15. 15.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 11 cm (d) 22 cm
  16. 16.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 54 (b) 38 (c) 34 (d) 24
  17. 17.Which of these numbers is divisible by 6? (a) 1723 (b) 1732 (c) 1719 (d) 1722
  18. 18.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 40% (b) 6% (c) 10% (d) 5%
  19. 19.Which is the greatest: 0.86, 0.784, 0.075, 0.8? (a) 0.86 (b) 0.784 (c) 0.075 (d) 0.8
  20. 20.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 15 cm (c) 9 cm (d) 3 cm
  21. 21.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 6 days (c) 5 days (d) 4 days
  22. 22.2/4 + 6/7 = ? (a) 19/14 (b) 37/28 (c) 39/28 (d) 8/11
  23. 23.Every pair follows the same rule: 4 : 9, 7 : 18, 8 : 21. What is 9 : ? (a) 25 (b) 23 (c) 14 (d) 24
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  25. 25.3.87 + 7.7 = ? (a) 11.57 (b) 11.67 (c) 4.64 (d) 11.47
  26. 26.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 20%
  27. 27.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
  28. 28.Every pair follows the same rule: 3 : 6, 4 : 7, 7 : 10. What is 9 : ? (a) 12 (b) 13 (c) 18 (d) 11
  29. 29.If x/5 + 13 = 18, what is x? (a) 5 (b) 77 (c) 25 (d) 155
  30. 30.A bag marked ₹660 is sold at a 40% discount. What is its selling price? (a) ₹396 (b) ₹924 (c) ₹264 (d) ₹620
  31. 31.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 4 : ? (a) 8 (b) 16 (c) 21 (d) 6
  32. 32.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 126 min (c) 6 min (d) 756 min
  33. 33.Every pair follows the same rule: 2 : 8, 4 : 16, 6 : 24. What is 5 : ? (a) 11 (b) 20 (c) 21 (d) 19
  34. 34.What is the average of 8, 9, 19, 12 and 52? (a) 25 (b) 21 (c) 20 (d) 19
  35. 35.What is the units digit of 3^11? (a) 1 (b) 9 (c) 3 (d) 7
  36. 36.If x/4 + 12 = 22, what is x? (a) 136 (b) 40 (c) 76 (d) 10
  37. 37.A shopkeeper buys a toy for ₹320 and sells it for ₹368. What is his profit percent? (a) 15% (b) 20% (c) 48% (d) 10%
  38. 38.If 7x + 17 = 80, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  39. 39.If 7x + 19 = 3x + 27, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  40. 40.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 8 : ? (a) 64 (b) 63 (c) 53 (d) 9

Answer key

  1. 56 min
  2. 29
  3. Wednesday
  4. 42 min
  5. 125
  6. Wednesday
  7. 40%
  8. 3
  9. 84
  10. 3/4
  11. 25 sq cm
  12. 10 days
  13. 29
  14. 0.05
  15. 22 cm
  16. 54
  17. 1722
  18. 5%
  19. 0.86
  20. 3 cm
  21. 5 days
  22. 19/14
  23. 24
  24. 64 sq cm
  25. 11.57
  26. 10%
  27. 8
  28. 12
  29. 25
  30. ₹396
  31. 16
  32. 126 min
  33. 20
  34. 20
  35. 7
  36. 40
  37. 15%
  38. 9
  39. 2
  40. 63

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