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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 157 · 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 rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 12 cm (c) 22 cm (d) 11 cm
  2. 2.What is 75% of 220? (a) 165 (b) 330 (c) 55 (d) 1650
  3. 3.Which fraction is greater: 4/5 or 5/6? (a) 4/5 (b) They are equal (c) 5/6
  4. 4.A shopkeeper buys a toy for ₹920 and sells it for ₹552. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  5. 5.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 48 (b) 560 (c) 280 (d) 140
  6. 6.If 6x + 12 = x + 72, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  7. 7.7.03 + 7.4 = ? (a) 7.77 (b) 14.43 (c) 14.53 (d) 14.33
  8. 8.₹252 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹216 (b) ₹252 (c) ₹126 (d) ₹36
  9. 9.Which fraction is greater: 9/10 or 1/11? (a) 9/10 (b) 1/11 (c) They are equal
  10. 10.1/4 + 3/4 = ? (a) 5/4 (b) 1 (c) 1/2 (d) 3/4
  11. 11.Which is the smallest: 0.36, 0.232, 0.017, 0.3? (a) 0.36 (b) 0.232 (c) 0.017 (d) 0.3
  12. 12.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 30% (b) 25% (c) 40% (d) 20%
  13. 13.Today is Monday. What day of the week will it be after 98 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  14. 14.If 14 March is a Friday, what day of the week is 23 March? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  15. 15.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm
  16. 16.If 2x − 1 = 3, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  17. 17.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
  18. 18.Every pair follows the same rule: 3 : 6, 4 : 13, 8 : 61. What is 9 : ? (a) 12 (b) 78 (c) 18 (d) 73
  19. 19.In how many years will ₹10000 earn ₹3600 simple interest at 12% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  21. 21.Every pair follows the same rule: 3 : 9, 5 : 11, 7 : 13. What is 9 : ? (a) 15 (b) 27 (c) 14 (d) 16
  22. 22.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 48 (b) 24 (c) 25 (d) 14
  23. 23.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 27 (c) 43 (d) 28
  24. 24.Every pair follows the same rule: 2 : 3, 5 : 24, 7 : 48. What is 9 : ? (a) 80 (b) 81 (c) 72 (d) 10
  25. 25.Every pair follows the same rule: 7 : 36, 8 : 40, 9 : 44. What is 2 : ? (a) 31 (b) 16 (c) 15 (d) 17
  26. 26.If 9x + 10 = x + 26, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  27. 27.What is 30% of 200? (a) 600 (b) 60 (c) 140 (d) 120
  28. 28.What is the value of the digit 2 in 86.921? (a) 0.2 (b) 0.002 (c) 2 (d) 0.02
  29. 29.If 11 April is a Friday, what day of the week is 7 May? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  30. 30.Which fraction is greater: 3/5 or 1/3? (a) They are equal (b) 1/3 (c) 3/5
  31. 31.Which of these numbers is divisible by 8? (a) 6885 (b) 6872 (c) 6878 (d) 6865
  32. 32.Every pair follows the same rule: 4 : 15, 7 : 48, 8 : 63. What is 9 : ? (a) 81 (b) 20 (c) 80 (d) 78
  33. 33.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 160 (b) 80 (c) 320 (d) 36
  34. 34.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 48 sq cm (c) 24 sq cm (d) 126 sq cm
  35. 35.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 5% (b) 28% (c) 10% (d) 6%
  36. 36.5/7 + 4/7 = ? (a) 10/7 (b) 8/7 (c) 9/7 (d) 9/14
  37. 37.Which is the smallest: 0.38, 0.266, 0.3, 0.048? (a) 0.38 (b) 0.266 (c) 0.3 (d) 0.048
  38. 38.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 2 : ? (a) 5 (b) 4 (c) 8 (d) 6
  39. 39.If 6 January is a Monday, what day of the week is 15 January? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  40. 40.What is the simple interest on ₹7000 at 8% per year for 2 years? (a) ₹1120 (b) ₹560 (c) ₹8120 (d) ₹1680

Answer key

  1. 11 cm
  2. 165
  3. 5/6
  4. 40%
  5. 140
  6. 12
  7. 14.43
  8. ₹216
  9. 9/10
  10. 1
  11. 0.017
  12. 25%
  13. Monday
  14. Sunday
  15. 62 cm
  16. 2
  17. 30 sq cm
  18. 78
  19. 3 years
  20. 36 sq cm
  21. 15
  22. 24
  23. 27
  24. 80
  25. 16
  26. 2
  27. 60
  28. 0.02
  29. Wednesday
  30. 3/5
  31. 6872
  32. 80
  33. 80
  34. 108 sq cm
  35. 5%
  36. 9/7
  37. 0.048
  38. 4
  39. Wednesday
  40. ₹1120

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