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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 161 · 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.In how many years will ₹4500 earn ₹2160 simple interest at 12% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
  2. 2.If x/6 + 15 = 20, what is x? (a) 210 (b) 5 (c) 30 (d) 105
  3. 3.The simple interest on ₹8000 for 4 years is ₹3200. What is the rate per year? (a) 11% (b) 9% (c) 10% (d) 40%
  4. 4.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 28 sq cm (d) 14 sq cm
  5. 5.What is the remainder when 429 is divided by 12? (a) 3 (b) 10 (c) 9 (d) 8
  6. 6.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 91 sq cm (d) 40 sq cm
  7. 7.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 5 days (d) 9 days
  8. 8.What is the simple interest on ₹8000 at 5% per year for 5 years? (a) ₹10000 (b) ₹400 (c) ₹2400 (d) ₹2000
  9. 9.If 8x + 14 = 126, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  10. 10.What is the simple interest on ₹8500 at 11% per year for 3 years? (a) ₹3740 (b) ₹2805 (c) ₹935 (d) ₹11305
  11. 11.What is the remainder when 452 is divided by 12? (a) 8 (b) 4 (c) 9 (d) 7
  12. 12.Every pair follows the same rule: 2 : 2, 5 : 23, 6 : 34. What is 4 : ? (a) 15 (b) 12 (c) 14 (d) 4
  13. 13.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 250 (b) 35 (c) 100 (d) 50
  14. 14.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 50 min (c) 35 min (d) 250 min
  15. 15.4.22 + 3.3 = ? (a) 7.42 (b) 4.55 (c) 7.52 (d) 7.62
  16. 16.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 20 cm
  17. 17.₹9500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹10640 (b) ₹10925 (c) ₹9785 (d) ₹1140
  18. 18.What is the average of 51, 54, 56 and 103? (a) 88 (b) 67 (c) 65 (d) 66
  19. 19.A teacher has 80 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 80 (b) 5 (c) 720 (d) 10
  20. 20.₹54 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹12 (b) ₹6 (c) ₹27 (d) ₹42
  21. 21.Which is the greatest: 0.023, 0.76, 0.625, 0.7? (a) 0.023 (b) 0.76 (c) 0.625 (d) 0.7
  22. 22.2/5 + 1/4 = ? (a) 3/5 (b) 7/10 (c) 13/20 (d) 1/3
  23. 23.7.51 + 3.3 = ? (a) 10.71 (b) 7.84 (c) 10.91 (d) 10.81
  24. 24.Today is Tuesday. What day of the week will it be after 91 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  25. 25.If 4x + 29 = 61, what is x? (a) 32 (b) 8 (c) 9 (d) 7
  26. 26.Today is Sunday. What day of the week will it be after 60 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  27. 27.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 2 days (c) 32 days (d) 14 days
  28. 28.What is the value of the digit 7 in 97.426? (a) 70 (b) 0.7 (c) 7 (d) 0.07
  29. 29.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 84 (b) 126 (c) 42 (d) 27
  30. 30.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 27 min (c) 3 min (d) 42 min
  31. 31.6 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 10 days (d) 7 days
  32. 32.Which fraction is greater: 1/8 or 2/9? (a) 2/9 (b) They are equal (c) 1/8
  33. 33.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  34. 34.Every pair follows the same rule: 2 : 14, 3 : 19, 8 : 44. What is 7 : ? (a) 19 (b) 39 (c) 49 (d) 40
  35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 30 (b) 216 (c) 72 (d) 36
  36. 36.4/6 + 1/3 = ? (a) 1 (b) 5/9 (c) 5/6 (d) 7/6
  37. 37.Which fraction is greater: 1/3 or 3/5? (a) 3/5 (b) 1/3 (c) They are equal
  38. 38.A bag marked ₹280 is sold at a 10% discount. What is its selling price? (a) ₹270 (b) ₹28 (c) ₹252 (d) ₹308
  39. 39.If 3x + 15 = 33, what is x? (a) 18 (b) 7 (c) 6 (d) 16
  40. 40.Every pair follows the same rule: 2 : 1, 3 : 3, 9 : 15. What is 5 : ? (a) 7 (b) 9 (c) 6 (d) 8

Answer key

  1. 4 years
  2. 30
  3. 10%
  4. 48 sq cm
  5. 9
  6. 91 sq cm
  7. 8 days
  8. ₹2000
  9. 14
  10. ₹2805
  11. 8
  12. 14
  13. 50
  14. 50 min
  15. 7.52
  16. 22 cm
  17. ₹10640
  18. 66
  19. 10
  20. ₹42
  21. 0.76
  22. 13/20
  23. 10.81
  24. Tuesday
  25. 8
  26. Thursday
  27. 32 days
  28. 7
  29. 42
  30. 42 min
  31. 6 days
  32. 2/9
  33. 30%
  34. 39
  35. 36
  36. 1
  37. 3/5
  38. ₹252
  39. 6
  40. 7

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