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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 807 · 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 simple interest on ₹5000 for 2 years is ₹500. What is the rate per year? (a) 5% (b) 6% (c) 10% (d) 4%
  2. 2.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 3 (b) 28 (c) 27 (d) 60
  3. 3.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 20 min (c) 2 min (d) 40 min
  4. 4.4/9 + 1/4 = ? (a) 5/13 (b) 25/36 (c) 2/3 (d) 13/18
  5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 120 cm (d) 22 cm
  6. 6.Which fraction is greater: 3/4 or 1/7? (a) 1/7 (b) They are equal (c) 3/4
  7. 7.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 6% (b) 5% (c) 29% (d) 10%
  8. 8.4 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 20 days (c) 36 days (d) 5 days
  9. 9.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 10 (c) 40 (d) 62
  10. 10.4/6 + 1/6 = ? (a) 1 (b) 5/6 (c) 2/3 (d) 5/12
  11. 11.What is the average of all the whole numbers from 50 to 86? (a) 18 (b) 69 (c) 68 (d) 36
  12. 12.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 112 (b) 224 (c) 44 (d) 448
  13. 13.What is the value of the digit 5 in 97.543? (a) 0.05 (b) 0.5 (c) 0.005 (d) 5
  14. 14.1.56 + 9.1 = ? (a) 10.76 (b) 2.47 (c) 10.56 (d) 10.66
  15. 15.If 14 January is a Thursday, what day of the week is 26 January? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  16. 16.What is the average of 91, 68, 68 and 77? (a) 77 (b) 75 (c) 76 (d) 78
  17. 17.Every pair follows the same rule: 3 : 11, 7 : 19, 9 : 23. What is 4 : ? (a) 15 (b) 12 (c) 14 (d) 13
  18. 18.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 12% (b) 10% (c) 5% (d) 15%
  19. 19.What is the average of 52, 63, 71, 68, 73 and 21? (a) 57 (b) 59 (c) 60 (d) 58
  20. 20.The simple interest on ₹5500 for 5 years is ₹2475. What is the rate per year? (a) 45% (b) 9% (c) 10% (d) 8%
  21. 21.If 2 May is a Monday, what day of the week is 10 May? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  22. 22.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 30% (b) 75% (c) 20% (d) 25%
  23. 23.If 7x + 17 = 80, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  24. 24.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 20 sq cm (d) 12 sq cm
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  26. 26.2/4 + 2/5 = ? (a) 9/10 (b) 19/20 (c) 4/9 (d) 17/20
  27. 27.If 4x − 6 = 14, what is x? (a) 6 (b) 20 (c) 5 (d) 2
  28. 28.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 80 (c) 64 (d) 128
  29. 29.2/3 + 6/8 = ? (a) 11/8 (b) 35/24 (c) 17/12 (d) 8/11
  30. 30.What is the average of 32, 22, 24, 37, 37 and 28? (a) 31 (b) 36 (c) 30 (d) 29
  31. 31.Every pair follows the same rule: 2 : 11, 3 : 12, 5 : 14. What is 8 : ? (a) 19 (b) 18 (c) 16 (d) 17
  32. 32.If 4x + 20 = x + 44, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  33. 33.Which fraction is greater: 4/11 or 1/4? (a) They are equal (b) 1/4 (c) 4/11
  34. 34.Two ribbons are 12 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 12 cm (c) 36 cm (d) 6 cm
  35. 35.If 4 pens cost ₹60, how much do 11 pens cost? (a) ₹180 (b) ₹67 (c) ₹165 (d) ₹660
  36. 36.What is the value of the digit 9 in 97.253? (a) 0.9 (b) 9 (c) 0.09 (d) 90
  37. 37.The simple interest on ₹8500 for 2 years is ₹1700. What is the rate per year? (a) 20% (b) 9% (c) 10% (d) 11%
  38. 38.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 18 cm (c) 16 cm (d) 20 cm
  39. 39.Every pair follows the same rule: 4 : 16, 7 : 31, 8 : 36. What is 5 : ? (a) 17 (b) 22 (c) 21 (d) 20
  40. 40.What is the value of the digit 3 in 73.468? (a) 0.03 (b) 0.3 (c) 3 (d) 30

Answer key

  1. 5%
  2. 27
  3. 20 min
  4. 25/36
  5. 11 cm
  6. 3/4
  7. 5%
  8. 4 days
  9. 40
  10. 5/6
  11. 68
  12. 112
  13. 0.5
  14. 10.66
  15. Tuesday
  16. 76
  17. 13
  18. 10%
  19. 58
  20. 9%
  21. Tuesday
  22. 25%
  23. 9
  24. 20 sq cm
  25. 20%
  26. 9/10
  27. 5
  28. 128
  29. 17/12
  30. 30
  31. 17
  32. 8
  33. 4/11
  34. 6 cm
  35. ₹165
  36. 90
  37. 10%
  38. 20 cm
  39. 21
  40. 3

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