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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 566 · 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 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 104 cm (d) 10 cm
  2. 2.1/3 + 1/2 = ? (a) 2/3 (b) 2/5 (c) 1 (d) 5/6
  3. 3.What is the value of the digit 9 in 94.316? (a) 0.09 (b) 0.9 (c) 90 (d) 9
  4. 4.What is the simple interest on ₹3000 at 6% per year for 3 years? (a) ₹180 (b) ₹3540 (c) ₹540 (d) ₹720
  5. 5.What is 2/5 of 40? (a) 24 (b) 8 (c) 17 (d) 16
  6. 6.If 4x + 21 = 81, what is x? (a) 15 (b) 16 (c) 14 (d) 60
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  8. 8.Two ribbons are 32 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 32 cm (d) 24 cm
  9. 9.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 40% (b) 88% (c) 35% (d) 45%
  10. 10.1/2 + 1/3 = ? (a) 5/6 (b) 1 (c) 2/3 (d) 2/5
  11. 11.What is 2/9 of 108? (a) 24 (b) 12 (c) 36 (d) 84
  12. 12.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 7 cm (c) 40 cm (d) 6 cm
  13. 13.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 4 : ? (a) 16 (b) 34 (c) 24 (d) 4
  14. 14.8.42 + 8.1 = ? (a) 16.52 (b) 9.23 (c) 16.62 (d) 16.42
  15. 15.What is the remainder when 94 is divided by 3? (a) 1 (b) 2 (c) 0
  16. 16.Today is Thursday. What day of the week will it be after 56 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  17. 17.If 8 kites cost ₹120, how much do 2 kites cost? (a) ₹45 (b) ₹30 (c) ₹114 (d) ₹240
  18. 18.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 8 (c) 9 (d) 38
  19. 19.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 37 (c) 92 (d) 38
  20. 20.The simple interest on ₹9000 for 3 years is ₹2430. What is the rate per year? (a) 10% (b) 8% (c) 9% (d) 27%
  21. 21.If 5x + 4 = x + 20, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  22. 22.If 12 May is a Tuesday, what day of the week is 28 May? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  23. 23.What is the average of 15, 39, 20, 12, 31 and 33? (a) 24 (b) 30 (c) 26 (d) 25
  24. 24.What is 5% of 160? (a) 80 (b) 16 (c) 8 (d) 152
  25. 25.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  26. 26.₹3500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹5600 (b) ₹5180 (c) ₹1680 (d) ₹3920
  27. 27.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 50 (b) 36 (c) 70 (d) 16
  28. 28.2/8 + 1/3 = ? (a) 7/12 (b) 5/8 (c) 13/24 (d) 3/11
  29. 29.Which is the greatest: 0.34, 0.067, 0.253, 0.3? (a) 0.34 (b) 0.067 (c) 0.253 (d) 0.3
  30. 30.If 3x + 2 = 47, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  31. 31.Which fraction is greater: 6/7 or 1/5? (a) They are equal (b) 6/7 (c) 1/5
  32. 32.2/7 + 6/7 = ? (a) 9/7 (b) 4/7 (c) 1 (d) 8/7
  33. 33.A shopkeeper buys a toy for ₹460 and sells it for ₹368. What is his loss percent? (a) 92% (b) 20% (c) 15% (d) 25%
  34. 34.Which fraction is greater: 1/7 or 8/9? (a) They are equal (b) 8/9 (c) 1/7
  35. 35.What is the average of 67, 77, 74 and 98? (a) 80 (b) 79 (c) 81 (d) 78
  36. 36.9.12 + 8.4 = ? (a) 17.62 (b) 17.42 (c) 9.96 (d) 17.52
  37. 37.6 workers can build a wall in 12 days. How many days will 9 workers take, working at the same speed? (a) 8 days (b) 18 days (c) 15 days (d) 9 days
  38. 38.1/3 + 2/6 = ? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/2
  39. 39.3.51 + 4.1 = ? (a) 7.61 (b) 7.71 (c) 3.92 (d) 7.51
  40. 40.9.84 + 9.3 = ? (a) 19.04 (b) 10.77 (c) 19.14 (d) 19.24

Answer key

  1. 9 cm
  2. 5/6
  3. 90
  4. ₹540
  5. 16
  6. 15
  7. 24 sq cm
  8. 8 cm
  9. 40%
  10. 5/6
  11. 24
  12. 6 cm
  13. 16
  14. 16.52
  15. 1
  16. Thursday
  17. ₹30
  18. 8
  19. 37
  20. 9%
  21. 4
  22. Thursday
  23. 25
  24. 8
  25. 42 sq cm
  26. ₹5180
  27. 50
  28. 7/12
  29. 0.34
  30. 15
  31. 6/7
  32. 8/7
  33. 20%
  34. 8/9
  35. 79
  36. 17.52
  37. 8 days
  38. 2/3
  39. 7.61
  40. 19.14

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