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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 20 · 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.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 20 (b) 63 (c) 47 (d) 51
  2. 2.8.09 + 8.3 = ? (a) 8.92 (b) 16.29 (c) 16.39 (d) 16.49
  3. 3.What is the remainder when 309 is divided by 10? (a) 1 (b) 8 (c) 7 (d) 9
  4. 4.A shopkeeper buys a toy for ₹860 and sells it for ₹1204. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  5. 5.If 3 kites cost ₹9, how much do 5 kites cost? (a) ₹11 (b) ₹15 (c) ₹18 (d) ₹45
  6. 6.Every pair follows the same rule: 3 : 11, 5 : 13, 7 : 15. What is 4 : ? (a) 11 (b) 13 (c) 12 (d) 14
  7. 7.What is 2/3 of 9? (a) 7 (b) 3 (c) 9 (d) 6
  8. 8.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 23 (b) 24 (c) 43 (d) 90
  9. 9.Which is the greatest: 0.081, 0.543, 0.6, 0.63? (a) 0.081 (b) 0.543 (c) 0.6 (d) 0.63
  10. 10.Today is Tuesday. What day of the week will it be after 45 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
  11. 11.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 36 (c) 18 (d) 54
  12. 12.What is the smallest number you must add to 172 to make it divisible by 3? (a) 1 (b) 2
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  14. 14.A bag marked ₹1840 is sold at a 40% discount. What is its selling price? (a) ₹736 (b) ₹1800 (c) ₹2576 (d) ₹1104
  15. 15.Every pair follows the same rule: 4 : 21, 6 : 41, 8 : 69. What is 5 : ? (a) 31 (b) 27 (c) 22 (d) 30
  16. 16.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 17 (b) 23 (c) 12 (d) 6
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 9 sq cm (d) 19 sq cm
  18. 18.Which fraction is greater: 7/10 or 1/4? (a) 7/10 (b) They are equal (c) 1/4
  19. 19.7.57 + 9.9 = ? (a) 17.57 (b) 17.37 (c) 17.47 (d) 8.56
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  21. 21.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 84 min (c) 4 min (d) 40 min
  22. 22.If 9 October is a Monday, what day of the week is 25 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  23. 23.Which fraction is greater: 4/5 or 1/9? (a) 1/9 (b) They are equal (c) 4/5
  24. 24.What is the smallest number you must add to 472 to make it divisible by 12? (a) 9 (b) 7 (c) 8 (d) 4
  25. 25.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 5 days (d) 9 days
  26. 26.If 2 July is a Tuesday, what day of the week is 13 July? (a) Monday (b) Sunday (c) Friday (d) Saturday
  27. 27.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 33 (b) 31 (c) 18 (d) 20
  28. 28.₹1500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹825 (b) ₹2490 (c) ₹1665 (d) ₹2325
  29. 29.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 19 days (d) 4 days
  30. 30.Which fraction is greater: 11/12 or 7/9? (a) They are equal (b) 7/9 (c) 11/12
  31. 31.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 78 sq cm (d) 91 sq cm
  32. 32.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 10 cm (c) 11 cm (d) 20 cm
  33. 33.What is the average of all the whole numbers from 46 to 68? (a) 57 (b) 22 (c) 58 (d) 11
  34. 34.Every pair follows the same rule: 3 : 15, 7 : 35, 8 : 40. What is 6 : ? (a) 31 (b) 18 (c) 29 (d) 30
  35. 35.7.13 + 4.3 = ? (a) 11.33 (b) 11.53 (c) 7.56 (d) 11.43
  36. 36.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 9 days (c) 21 days (d) 45 days
  37. 37.If 14 October is a Sunday, what day of the week is 30 October? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  38. 38.₹3000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹4200 (b) ₹3300 (c) ₹3900 (d) ₹900
  39. 39.If 4 notebooks cost ₹24, how much do 9 notebooks cost? (a) ₹216 (b) ₹60 (c) ₹54 (d) ₹29
  40. 40.If 4x + 4 = 44, what is x? (a) 11 (b) 40 (c) 12 (d) 10

Answer key

  1. 63
  2. 16.39
  3. 9
  4. 40%
  5. ₹15
  6. 12
  7. 6
  8. 23
  9. 0.63
  10. Friday
  11. 18
  12. 2
  13. 36 sq cm
  14. ₹1104
  15. 30
  16. 17
  17. 18 sq cm
  18. 7/10
  19. 17.47
  20. 225 sq cm
  21. 84 min
  22. Wednesday
  23. 4/5
  24. 8
  25. 9 days
  26. Saturday
  27. 33
  28. ₹2325
  29. 3 days
  30. 11/12
  31. 78 sq cm
  32. 10 cm
  33. 57
  34. 30
  35. 11.43
  36. 5 days
  37. Tuesday
  38. ₹3900
  39. ₹54
  40. 10

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