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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 475 · 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.Every pair follows the same rule: 3 : 12, 4 : 16, 9 : 36. What is 6 : ? (a) 23 (b) 25 (c) 24 (d) 15
  2. 2.₹6500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹2600 (b) ₹9620 (c) ₹9100 (d) ₹7020
  3. 3.If 4x + 17 = 37, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  4. 4.What is the simple interest on ₹7000 at 9% per year for 3 years? (a) ₹2520 (b) ₹8890 (c) ₹630 (d) ₹1890
  5. 5.What is the units digit of 3^53? (a) 9 (b) 7 (c) 1 (d) 3
  6. 6.What is the value of the digit 2 in 81.263? (a) 2 (b) 0.2 (c) 0.002 (d) 0.02
  7. 7.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 4 min (c) 240 min (d) 32 min
  8. 8.₹3500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹1050 (b) ₹4900 (c) ₹3850 (d) ₹4550
  9. 9.Which is the smallest: 0.5, 0.033, 0.52, 0.497? (a) 0.5 (b) 0.033 (c) 0.52 (d) 0.497
  10. 10.What is the average of all the whole numbers from 9 to 25? (a) 8 (b) 18 (c) 17 (d) 16
  11. 11.If 1 March is a Wednesday, what day of the week is 14 March? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
  13. 13.1/2 + 2/3 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 3/5
  14. 14.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 70 (d) 350
  15. 15.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 5 : ? (a) 11 (b) 153 (c) 125 (d) 20
  16. 16.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 108 min (b) 21 min (c) 36 min (d) 3 min
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  18. 18.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 360 (b) 120 (c) 42 (d) 60
  19. 19.What is the simple interest on ₹9000 at 3% per year for 5 years? (a) ₹1620 (b) ₹1350 (c) ₹10350 (d) ₹270
  20. 20.7.69 + 7.2 = ? (a) 8.41 (b) 14.99 (c) 14.79 (d) 14.89
  21. 21.Every pair follows the same rule: 4 : 22, 5 : 23, 9 : 27. What is 8 : ? (a) 28 (b) 26 (c) 27 (d) 25
  22. 22.2.62 + 9.9 = ? (a) 3.61 (b) 12.52 (c) 12.42 (d) 12.62
  23. 23.If 4x + 26 = 38, what is x? (a) 16 (b) 12 (c) 4 (d) 3
  24. 24.If x/4 + 6 = 9, what is x? (a) 30 (b) 60 (c) 12 (d) 3
  25. 25.What is the simple interest on ₹6000 at 5% per year for 5 years? (a) ₹300 (b) ₹1800 (c) ₹1500 (d) ₹7500
  26. 26.What is the value of the digit 8 in 24.819? (a) 0.8 (b) 8 (c) 0.008 (d) 0.08
  27. 27.Which fraction is greater: 3/5 or 4/9? (a) 3/5 (b) They are equal (c) 4/9
  28. 28.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 91 cm (c) 40 cm (d) 33 cm
  29. 29.6 workers can build a wall in 6 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 12 days (d) 4 days
  30. 30.What is 6/7 of 84? (a) 12 (b) 73 (c) 84 (d) 72
  31. 31.₹24 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹12 (b) ₹8 (c) ₹16 (d) ₹24
  32. 32.Which fraction is greater: 7/10 or 2/7? (a) 7/10 (b) They are equal (c) 2/7
  33. 33.₹405 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹45 (b) ₹225 (c) ₹270 (d) ₹180
  34. 34.What is 2/5 of 55? (a) 22 (b) 33 (c) 11 (d) 23
  35. 35.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 80 min (d) 320 min
  36. 36.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 72 (b) 144 (c) 42 (d) 432
  37. 37.In how many years will ₹7000 earn ₹560 simple interest at 4% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  38. 38.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 126 sq cm (c) 22 sq cm (d) 44 sq cm
  39. 39.The simple interest on ₹8000 for 2 years is ₹1760. What is the rate per year? (a) 22% (b) 10% (c) 12% (d) 11%
  40. 40.Which of these numbers is divisible by 11? (a) 9719 (b) 9724 (c) 9729 (d) 9745

Answer key

  1. 24
  2. ₹9100
  3. 5
  4. ₹1890
  5. 3
  6. 0.2
  7. 60 min
  8. ₹4550
  9. 0.033
  10. 17
  11. Tuesday
  12. 18 cm
  13. 7/6
  14. 70
  15. 125
  16. 36 min
  17. 196 sq cm
  18. 60
  19. ₹1350
  20. 14.89
  21. 26
  22. 12.52
  23. 3
  24. 12
  25. ₹1500
  26. 0.8
  27. 3/5
  28. 40 cm
  29. 3 days
  30. 72
  31. ₹16
  32. 7/10
  33. ₹225
  34. 22
  35. 80 min
  36. 72
  37. 2 years
  38. 112 sq cm
  39. 11%
  40. 9724

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