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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 824 · 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.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 16 (c) 22 (d) 36
  2. 2.What is 60% of 280? (a) 112 (b) 1680 (c) 336 (d) 168
  3. 3.Every pair follows the same rule: 3 : 6, 4 : 13, 7 : 46. What is 6 : ? (a) 9 (b) 33 (c) 35 (d) 12
  4. 4.1.72 + 2.1 = ? (a) 3.82 (b) 3.72 (c) 3.92 (d) 1.93
  5. 5.₹115 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹23 (b) ₹115 (c) ₹92 (d) ₹93
  6. 6.What is the value of the digit 8 in 52.618? (a) 0.08 (b) 0.8 (c) 8 (d) 0.008
  7. 7.Every pair follows the same rule: 2 : 7, 4 : 19, 5 : 28. What is 3 : ? (a) 10 (b) 13 (c) 12 (d) 8
  8. 8.What is the average of 58, 51, 71 and 80? (a) 64 (b) 67 (c) 66 (d) 65
  9. 9.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 22 cm (c) 12 cm (d) 11 cm
  10. 10.What is the units digit of 8^53? (a) 8 (b) 2 (c) 4 (d) 6
  11. 11.Which fraction is greater: 4/5 or 1/8? (a) They are equal (b) 4/5 (c) 1/8
  12. 12.What is 1/5 of 35? (a) 8 (b) 28 (c) 7 (d) 14
  13. 13.What is 4/9 of 18? (a) 2 (b) 10 (c) 8 (d) 9
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  15. 15.Every pair follows the same rule: 2 : 2, 4 : 14, 8 : 62. What is 6 : ? (a) 6 (b) 38 (c) 35 (d) 34
  16. 16.What is the remainder when 63 is divided by 4? (a) 2 (b) 1 (c) 0 (d) 3
  17. 17.Which is the greatest: 0.37, 0.235, 0.3, 0.096? (a) 0.37 (b) 0.235 (c) 0.3 (d) 0.096
  18. 18.1/5 + 4/7 = ? (a) 4/5 (b) 27/35 (c) 26/35 (d) 5/12
  19. 19.If x/4 + 6 = 8, what is x? (a) 56 (b) 26 (c) 2 (d) 8
  20. 20.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 168 min (c) 26 min (d) 2 min
  21. 21.₹8500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹9350 (b) ₹12750 (c) ₹11900 (d) ₹3400
  22. 22.What is 4/9 of 63? (a) 7 (b) 35 (c) 29 (d) 28
  23. 23.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 46 (c) 10 (d) 38
  24. 24.If 6x − 19 = 5, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  25. 25.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 74% (b) 15% (c) 10% (d) 5%
  26. 26.If 9x + 22 = 148, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  27. 27.What is the remainder when 50 is divided by 3? (a) 0 (b) 2 (c) 1
  28. 28.Which is the greatest: 0.039, 0.453, 0.52, 0.5? (a) 0.039 (b) 0.453 (c) 0.52 (d) 0.5
  29. 29.What is the simple interest on ₹3000 at 2% per year for 2 years? (a) ₹60 (b) ₹120 (c) ₹180 (d) ₹3120
  30. 30.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 18 min (c) 28 min (d) 2 min
  31. 31.Which fraction is greater: 2/3 or 2/9? (a) 2/3 (b) 2/9 (c) They are equal
  32. 32.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 19 cm (d) 3 cm
  33. 33.Every pair follows the same rule: 2 : 5, 6 : 37, 9 : 82. What is 3 : ? (a) 9 (b) 6 (c) 10 (d) 11
  34. 34.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 140 min (c) 24 min (d) 70 min
  35. 35.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 24 cm (c) 5 cm (d) 8 cm
  36. 36.If 7x + 14 = 5x + 20, what is x? (a) 3 (b) 5 (c) 17 (d) 4
  37. 37.What is the value of the digit 1 in 16.523? (a) 0.01 (b) 1 (c) 10 (d) 0.1
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  39. 39.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 60 (c) 30 (d) 150
  40. 40.Which fraction is greater: 1/3 or 10/11? (a) 10/11 (b) 1/3 (c) They are equal

Answer key

  1. 36
  2. 168
  3. 33
  4. 3.82
  5. ₹92
  6. 0.008
  7. 12
  8. 65
  9. 11 cm
  10. 8
  11. 4/5
  12. 7
  13. 8
  14. 18 cm
  15. 34
  16. 3
  17. 0.37
  18. 27/35
  19. 8
  20. 84 min
  21. ₹11900
  22. 28
  23. 46
  24. 4
  25. 10%
  26. 14
  27. 2
  28. 0.52
  29. ₹120
  30. 28 min
  31. 2/3
  32. 2 cm
  33. 10
  34. 70 min
  35. 4 cm
  36. 3
  37. 10
  38. 24 sq cm
  39. 30
  40. 10/11

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