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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 232 · 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.What is the average of all the whole numbers from 38 to 48? (a) 44 (b) 5 (c) 10 (d) 43
  2. 2.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  3. 3.What is the average of 36, 21, 31 and 48? (a) 36 (b) 34 (c) 35 (d) 33
  4. 4.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 100 sq cm (d) 90 sq cm
  5. 5.Every pair follows the same rule: 2 : 4, 3 : 8, 4 : 12. What is 5 : ? (a) 10 (b) 16 (c) 7 (d) 17
  6. 6.If 14 March is a Friday, what day of the week is 16 April? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  7. 7.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 70 min (c) 5 min (d) 350 min
  8. 8.₹7000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹8470 (b) ₹7490 (c) ₹980 (d) ₹7980
  9. 9.Which is the smallest: 0.186, 0.2, 0.059, 0.28? (a) 0.186 (b) 0.2 (c) 0.059 (d) 0.28
  10. 10.Which is the greatest: 0.43, 0.094, 0.4, 0.317? (a) 0.43 (b) 0.094 (c) 0.4 (d) 0.317
  11. 11.Which is the smallest: 0.78, 0.614, 0.093, 0.7? (a) 0.78 (b) 0.614 (c) 0.093 (d) 0.7
  12. 12.2.43 + 1.1 = ? (a) 3.63 (b) 2.54 (c) 3.43 (d) 3.53
  13. 13.If x/6 + 9 = 11, what is x? (a) 2 (b) 120 (c) 12 (d) 57
  14. 14.What is the units digit of 2^19? (a) 2 (b) 6 (c) 4 (d) 8
  15. 15.Which fraction is greater: 4/11 or 1/5? (a) They are equal (b) 1/5 (c) 4/11
  16. 16.The simple interest on ₹6000 for 3 years is ₹1440. What is the rate per year? (a) 7% (b) 8% (c) 24% (d) 9%
  17. 17.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 4 cm (d) 6 cm
  18. 18.Which fraction is greater: 2/9 or 3/4? (a) 2/9 (b) They are equal (c) 3/4
  19. 19.What is the value of the digit 2 in 39.125? (a) 0.2 (b) 0.002 (c) 2 (d) 0.02
  20. 20.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
  21. 21.What is the value of the digit 3 in 34.712? (a) 0.3 (b) 3 (c) 30 (d) 0.03
  22. 22.Which is the greatest: 0.64, 0.6, 0.561, 0.065? (a) 0.64 (b) 0.6 (c) 0.561 (d) 0.065
  23. 23.If 9x + 10 = 3x + 58, what is x? (a) 8 (b) 9 (c) 10 (d) 4
  24. 24.What is the simple interest on ₹6500 at 7% per year for 5 years? (a) ₹2730 (b) ₹2275 (c) ₹8775 (d) ₹455
  25. 25.Which of these numbers is divisible by 3? (a) 2519 (b) 2517 (c) 2522 (d) 2516
  26. 26.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 2 (b) 3 (c) 39 (d) 17
  27. 27.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 56 cm (d) 187 cm
  28. 28.If 5x + 16 = 4x + 24, what is x? (a) 40 (b) 9 (c) 8 (d) 10
  29. 29.Today is Sunday. What day of the week will it be after 30 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  30. 30.A shopkeeper buys a toy for ₹520 and sells it for ₹624. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  31. 31.Every pair follows the same rule: 5 : 29, 6 : 33, 9 : 45. What is 8 : ? (a) 32 (b) 41 (c) 42 (d) 40
  32. 32.What is the units digit of 9^33? (a) 8 (b) 9 (c) 7 (d) 1
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  34. 34.Every pair follows the same rule: 2 : 5, 7 : 20, 9 : 26. What is 4 : ? (a) 7 (b) 12 (c) 10 (d) 11
  35. 35.2/5 + 5/6 = ? (a) 7/11 (b) 37/30 (c) 19/15 (d) 6/5
  36. 36.Every pair follows the same rule: 5 : 24, 6 : 25, 7 : 26. What is 3 : ? (a) 23 (b) 22 (c) 24 (d) 21
  37. 37.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 60 sq cm (d) 18 sq cm
  38. 38.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 54 min (c) 84 min (d) 6 min
  39. 39.2/6 + 1/6 = ? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
  40. 40.₹234 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹162 (b) ₹72 (c) ₹18 (d) ₹117

Answer key

  1. 43
  2. 20%
  3. 34
  4. 90 sq cm
  5. 16
  6. Wednesday
  7. 70 min
  8. ₹7980
  9. 0.059
  10. 0.43
  11. 0.093
  12. 3.53
  13. 12
  14. 8
  15. 4/11
  16. 8%
  17. 3 cm
  18. 3/4
  19. 0.02
  20. 24 sq cm
  21. 30
  22. 0.64
  23. 8
  24. ₹2275
  25. 2517
  26. 2
  27. 56 cm
  28. 8
  29. Tuesday
  30. 20%
  31. 41
  32. 9
  33. 49 sq cm
  34. 11
  35. 37/30
  36. 22
  37. 45 sq cm
  38. 84 min
  39. 1/2
  40. ₹162

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