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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 464 · 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.Every pair follows the same rule: 4 : 16, 5 : 18, 7 : 22. What is 2 : ? (a) 12 (b) 8 (c) 13 (d) 14
  2. 2.Which is the greatest: 0.211, 0.36, 0.072, 0.3? (a) 0.211 (b) 0.36 (c) 0.072 (d) 0.3
  3. 3.Two ribbons are 33 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 1 cm (c) 55 cm (d) 11 cm
  4. 4.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 33 (b) 63 (c) 24 (d) 54
  5. 5.Two ribbons are 20 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 5 cm (c) 50 cm (d) 20 cm
  6. 6.If 8 mangoes cost ₹136, how much do 10 mangoes cost? (a) ₹1360 (b) ₹187 (c) ₹138 (d) ₹170
  7. 7.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 20 days (b) 5 days (c) 13 days (d) 7 days
  8. 8.1/2 + 2/5 = ? (a) 3/7 (b) 1 (c) 9/10 (d) 4/5
  9. 9.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 48 cm (d) 37 cm
  10. 10.Every pair follows the same rule: 2 : 12, 5 : 24, 9 : 40. What is 7 : ? (a) 42 (b) 17 (c) 32 (d) 33
  11. 11.₹517 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹235 (b) ₹47 (c) ₹329 (d) ₹282
  12. 12.If 3x − 18 = 15, what is x? (a) 10 (b) 33 (c) 11 (d) 12
  13. 13.9.41 + 8.9 = ? (a) 18.41 (b) 18.31 (c) 18.21 (d) 10.3
  14. 14.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 4 (b) 76 (c) 65 (d) 64
  15. 15.If 3 March is a Saturday, what day of the week is 15 March? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  16. 16.Every pair follows the same rule: 2 : 6, 5 : 27, 7 : 51. What is 3 : ? (a) 7 (b) 3 (c) 11 (d) 9
  17. 17.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  18. 18.If 6x + 16 = 40, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  19. 19.If 5x + 29 = 59, what is x? (a) 6 (b) 5 (c) 7 (d) 30
  20. 20.Today is Sunday. What day of the week will it be after 85 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  21. 21.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 95 (b) 55 (c) 48 (d) 63
  22. 22.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 25 days (d) 13 days
  23. 23.What is 15% of 820? (a) 123 (b) 697 (c) 246 (d) 1230
  24. 24.Which fraction is greater: 5/11 or 2/5? (a) They are equal (b) 5/11 (c) 2/5
  25. 25.What is 20% of 360? (a) 72 (b) 144 (c) 288 (d) 720
  26. 26.What is 5% of 40? (a) 4 (b) 38 (c) 20 (d) 2
  27. 27.A shopkeeper buys a toy for ₹280 and sells it for ₹168. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  28. 28.The simple interest on ₹3500 for 4 years is ₹1260. What is the rate per year? (a) 9% (b) 10% (c) 36% (d) 8%
  29. 29.If 2x − 4 = 8, what is x? (a) 2 (b) 7 (c) 12 (d) 6
  30. 30.Which is the smallest: 0.7, 0.069, 0.75, 0.637? (a) 0.7 (b) 0.069 (c) 0.75 (d) 0.637
  31. 31.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 60 (b) 3 (c) 27 (d) 28
  32. 32.What is 7/8 of 88? (a) 78 (b) 11 (c) 88 (d) 77
  33. 33.Which is the greatest: 0.39, 0.3, 0.217, 0.082? (a) 0.39 (b) 0.3 (c) 0.217 (d) 0.082
  34. 34.₹90 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹45 (b) ₹90 (c) ₹10 (d) ₹80
  35. 35.What is 1/7 of 56? (a) 48 (b) 9 (c) 8 (d) 16
  36. 36.What is 5% of 660? (a) 33 (b) 330 (c) 627 (d) 66
  37. 37.A bag marked ₹720 is sold at a 25% discount. What is its selling price? (a) ₹695 (b) ₹900 (c) ₹540 (d) ₹180
  38. 38.If 1 July is a Monday, what day of the week is 9 July? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  39. 39.Which is the smallest: 0.523, 0.61, 0.6, 0.019? (a) 0.523 (b) 0.61 (c) 0.6 (d) 0.019
  40. 40.Every pair follows the same rule: 3 : 3, 4 : 5, 5 : 7. What is 6 : ? (a) 6 (b) 9 (c) 10 (d) 8

Answer key

  1. 12
  2. 0.36
  3. 11 cm
  4. 54
  5. 10 cm
  6. ₹170
  7. 5 days
  8. 9/10
  9. 48 cm
  10. 32
  11. ₹282
  12. 11
  13. 18.31
  14. 64
  15. Thursday
  16. 11
  17. 25 sq cm
  18. 4
  19. 6
  20. Monday
  21. 95
  22. 25 days
  23. 123
  24. 5/11
  25. 72
  26. 2
  27. 40%
  28. 9%
  29. 6
  30. 0.069
  31. 27
  32. 77
  33. 0.39
  34. ₹80
  35. 8
  36. 33
  37. ₹540
  38. Tuesday
  39. 0.019
  40. 9

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