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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 746 · 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 : 15, 6 : 35, 8 : 63. What is 9 : ? (a) 80 (b) 20 (c) 81 (d) 77
  2. 2.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 8% (b) 6% (c) 10% (d) 5%
  3. 3.Every pair follows the same rule: 3 : 9, 5 : 19, 7 : 29. What is 8 : ? (a) 35 (b) 14 (c) 24 (d) 34
  4. 4.What is 2/9 of 90? (a) 10 (b) 30 (c) 70 (d) 20
  5. 5.What is the average of 39, 51, 43, 46 and 21? (a) 50 (b) 39 (c) 41 (d) 40
  6. 6.1/2 + 4/6 = ? (a) 4/3 (b) 5/8 (c) 7/6 (d) 1
  7. 7.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 4 days (c) 16 days (d) 8 days
  8. 8.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  9. 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 84 cm (d) 31 cm
  10. 10.What is the remainder when 197 is divided by 8? (a) 6 (b) 4 (c) 3 (d) 5
  11. 11.If 7 notebooks cost ₹35, how much do 11 notebooks cost? (a) ₹39 (b) ₹55 (c) ₹60 (d) ₹385
  12. 12.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 160 (c) 40 (d) 80
  13. 13.Which fraction is greater: 7/8 or 2/3? (a) They are equal (b) 7/8 (c) 2/3
  14. 14.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 10 sq cm
  15. 15.Which fraction is greater: 9/10 or 3/4? (a) They are equal (b) 3/4 (c) 9/10
  16. 16.Which fraction is greater: 7/10 or 1/7? (a) They are equal (b) 1/7 (c) 7/10
  17. 17.What is the value of the digit 7 in 53.917? (a) 0.007 (b) 0.07 (c) 7 (d) 0.7
  18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 6% (b) 10% (c) 9% (d) 5%
  19. 19.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 57 (b) 32 (c) 37 (d) 30
  20. 20.Two ribbons are 18 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) 3 cm (b) 6 cm (c) 72 cm (d) 18 cm
  21. 21.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 38% (b) 5% (c) 10% (d) 6%
  22. 22.If 4 December is a Monday, what day of the week is 19 December? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  23. 23.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 84 (b) 20 (c) 43 (d) 42
  24. 24.If 12 May is a Sunday, what day of the week is 28 May? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  25. 25.₹180 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹45 (b) ₹90 (c) ₹180 (d) ₹135
  26. 26.Every pair follows the same rule: 3 : 22, 5 : 32, 9 : 52. What is 4 : ? (a) 26 (b) 23 (c) 28 (d) 27
  27. 27.What is the remainder when 125 is divided by 4? (a) 1 (b) 3 (c) 2 (d) 0
  28. 28.If 6x + 8 = 20, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  29. 29.Which of these numbers is divisible by 9? (a) 5070 (b) 5055 (c) 5058 (d) 5063
  30. 30.What is the average of all the whole numbers from 47 to 55? (a) 52 (b) 4 (c) 51 (d) 8
  31. 31.If x/5 + 15 = 19, what is x? (a) 80 (b) 4 (c) 20 (d) 170
  32. 32.If x/3 + 8 = 19, what is x? (a) 49 (b) 81 (c) 11 (d) 33
  33. 33.If 5x + 18 = 78, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  34. 34.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 10 cm (c) 560 cm (d) 70 cm
  35. 35.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 9 (b) 27 (c) 8 (d) 13
  36. 36.What is 1/2 of 24? (a) 24 (b) 12 (c) 11 (d) 13
  37. 37.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 156 sq cm (c) 169 sq cm (d) 50 sq cm
  38. 38.Every pair follows the same rule: 2 : 19, 4 : 21, 9 : 26. What is 8 : ? (a) 26 (b) 25 (c) 27 (d) 24
  39. 39.What is the value of the digit 4 in 71.846? (a) 0.04 (b) 4 (c) 0.004 (d) 0.4
  40. 40.1.24 + 6.1 = ? (a) 7.44 (b) 7.24 (c) 7.34 (d) 1.85

Answer key

  1. 80
  2. 5%
  3. 34
  4. 20
  5. 40
  6. 7/6
  7. 36 days
  8. 240 sq cm
  9. 38 cm
  10. 5
  11. ₹55
  12. 40
  13. 7/8
  14. 24 sq cm
  15. 9/10
  16. 7/10
  17. 0.007
  18. 5%
  19. 57
  20. 6 cm
  21. 5%
  22. Tuesday
  23. 42
  24. Tuesday
  25. ₹135
  26. 27
  27. 1
  28. 2
  29. 5058
  30. 51
  31. 20
  32. 33
  33. 12
  34. 10 cm
  35. 8
  36. 12
  37. 156 sq cm
  38. 25
  39. 0.04
  40. 7.34

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