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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 677 · 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 is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 25 cm (d) 126 cm
  2. 2.What is 1/2 of 24? (a) 11 (b) 24 (c) 13 (d) 12
  3. 3.7.74 + 4.3 = ? (a) 12.04 (b) 12.14 (c) 11.94 (d) 8.17
  4. 4.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 112 min (c) 448 min (d) 44 min
  5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 26 (c) 85 (d) 84
  6. 6.What is 10% of 60? (a) 12 (b) 54 (c) 60 (d) 6
  7. 7.If 2 kites cost ₹44, how much do 4 kites cost? (a) ₹46 (b) ₹176 (c) ₹88 (d) ₹110
  8. 8.What is the average of all the whole numbers from 11 to 31? (a) 22 (b) 21 (c) 20 (d) 10
  9. 9.Today is Saturday. What day of the week will it be after 10 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  10. 10.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 21 min (c) 3 min (d) 90 min
  11. 11.If 4x + 18 = 50, what is x? (a) 17 (b) 32 (c) 9 (d) 8
  12. 12.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 8 : ? (a) 9 (b) 63 (c) 53 (d) 64
  13. 13.Every pair follows the same rule: 5 : 8, 6 : 9, 7 : 10. What is 3 : ? (a) 7 (b) 8 (c) 6 (d) 5
  14. 14.1/8 + 1/2 = ? (a) 1/5 (b) 3/4 (c) 1/2 (d) 5/8
  15. 15.If x/6 + 4 = 16, what is x? (a) 120 (b) 12 (c) 92 (d) 72
  16. 16.₹369 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹328 (b) ₹287 (c) ₹41 (d) ₹82
  17. 17.Every pair follows the same rule: 3 : 6, 5 : 22, 9 : 78. What is 8 : ? (a) 16 (b) 64 (c) 61 (d) 11
  18. 18.Every pair follows the same rule: 2 : 12, 4 : 16, 8 : 24. What is 9 : ? (a) 27 (b) 54 (c) 26 (d) 19
  19. 19.What is the average of 70, 65, 51, 54 and 45? (a) 58 (b) 57 (c) 59 (d) 56
  20. 20.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 38 cm (c) 23 cm (d) 46 cm
  21. 21.₹154 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹110 (b) ₹44 (c) ₹22 (d) ₹77
  22. 22.If 6x + 24 = 96, what is x? (a) 72 (b) 20 (c) 12 (d) 13
  23. 23.What is the simple interest on ₹8500 at 5% per year for 2 years? (a) ₹1275 (b) ₹850 (c) ₹9350 (d) ₹425
  24. 24.What is 2/9 of 81? (a) 9 (b) 63 (c) 27 (d) 18
  25. 25.If x/4 + 6 = 11, what is x? (a) 38 (b) 5 (c) 68 (d) 20
  26. 26.If 7x − 40 = 51, what is x? (a) 91 (b) 13 (c) 14 (d) 12
  27. 27.If 12 September is a Thursday, what day of the week is 13 October? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  28. 28.₹104 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹26 (b) ₹52 (c) ₹78 (d) ₹104
  29. 29.The simple interest on ₹3000 for 4 years is ₹600. What is the rate per year? (a) 4% (b) 6% (c) 5% (d) 20%
  30. 30.₹286 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹22 (b) ₹143 (c) ₹88 (d) ₹198
  31. 31.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 42 sq cm (d) 104 sq cm
  32. 32.Which is the smallest: 0.539, 0.66, 0.6, 0.025? (a) 0.539 (b) 0.66 (c) 0.6 (d) 0.025
  33. 33.What is 2/5 of 30? (a) 18 (b) 12 (c) 13 (d) 6
  34. 34.1.16 + 8.3 = ? (a) 9.46 (b) 9.56 (c) 1.99 (d) 9.36
  35. 35.Which of these numbers is divisible by 4? (a) 223 (b) 217 (c) 227 (d) 220
  36. 36.Every pair follows the same rule: 3 : 9, 7 : 13, 8 : 14. What is 6 : ? (a) 13 (b) 18 (c) 12 (d) 11
  37. 37.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 4 : ? (a) 12 (b) 17 (c) 10 (d) 16
  38. 38.1/4 + 3/6 = ? (a) 2/5 (b) 5/6 (c) 2/3 (d) 3/4
  39. 39.What is 1/3 of 15? (a) 6 (b) 4 (c) 5 (d) 10
  40. 40.Which is the smallest: 0.5, 0.58, 0.088, 0.438? (a) 0.5 (b) 0.58 (c) 0.088 (d) 0.438

Answer key

  1. 50 cm
  2. 12
  3. 12.04
  4. 112 min
  5. 84
  6. 6
  7. ₹88
  8. 21
  9. Tuesday
  10. 30 min
  11. 8
  12. 63
  13. 6
  14. 5/8
  15. 72
  16. ₹287
  17. 61
  18. 26
  19. 57
  20. 46 cm
  21. ₹110
  22. 12
  23. ₹850
  24. 18
  25. 20
  26. 13
  27. Sunday
  28. ₹78
  29. 5%
  30. ₹198
  31. 104 sq cm
  32. 0.025
  33. 12
  34. 9.46
  35. 220
  36. 12
  37. 16
  38. 3/4
  39. 5
  40. 0.088

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