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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 437 · 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 7 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 44 (c) 28 (d) 48
  2. 2.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 42 (b) 30 (c) 28 (d) 16
  3. 3.9 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 19 days (c) 11 days (d) 17 days
  4. 4.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 16%
  5. 5.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 34 days (c) 15 days (d) 33 days
  6. 6.If x/5 + 3 = 5, what is x? (a) 10 (b) 40 (c) 2 (d) 22
  7. 7.If 5x + 26 = 51, what is x? (a) 5 (b) 6 (c) 4 (d) 25
  8. 8.5.36 + 4.4 = ? (a) 9.66 (b) 9.86 (c) 9.76 (d) 5.8
  9. 9.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 27 (c) 26 (d) 97
  10. 10.What is the simple interest on ₹4500 at 3% per year for 5 years? (a) ₹5175 (b) ₹135 (c) ₹810 (d) ₹675
  11. 11.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 33 (c) 34 (d) 40
  12. 12.The simple interest on ₹7000 for 4 years is ₹560. What is the rate per year? (a) 2% (b) 8% (c) 1% (d) 3%
  13. 13.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 40 (b) 35 (c) 15 (d) 10
  14. 14.What is 3/7 of 14? (a) 6 (b) 8 (c) 2 (d) 7
  15. 15.The simple interest on ₹7500 for 3 years is ₹675. What is the rate per year? (a) 4% (b) 3% (c) 9% (d) 2%
  16. 16.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 87%
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 16 cm
  18. 18.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 45% (b) 40% (c) 35% (d) 56%
  19. 19.If 25 March is a Thursday, what day of the week is 13 April? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  20. 20.What is the average of 83, 69, 81, 78 and 29? (a) 67 (b) 85 (c) 69 (d) 68
  21. 21.If 3 October is a Wednesday, what day of the week is 18 October? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  22. 22.Which fraction is greater: 1/3 or 1/12? (a) 1/12 (b) 1/3 (c) They are equal
  23. 23.Every pair follows the same rule: 5 : 25, 7 : 35, 9 : 45. What is 2 : ? (a) 22 (b) 11 (c) 9 (d) 10
  24. 24.If x/2 + 6 = 15, what is x? (a) 9 (b) 24 (c) 42 (d) 18
  25. 25.What is the units digit of 7^30? (a) 7 (b) 3 (c) 1 (d) 9
  26. 26.If 15 January is a Friday, what day of the week is 27 January? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  27. 27.Every pair follows the same rule: 2 : 10, 3 : 15, 8 : 40. What is 6 : ? (a) 30 (b) 31 (c) 29 (d) 14
  28. 28.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 32 cm (c) 52 cm (d) 240 cm
  29. 29.Every pair follows the same rule: 3 : 11, 8 : 66, 9 : 83. What is 6 : ? (a) 32 (b) 38 (c) 39 (d) 14
  30. 30.What is the remainder when 826 is divided by 12? (a) 2 (b) 10 (c) 11 (d) 9
  31. 31.What is the units digit of 8^20? (a) 6 (b) 2 (c) 8 (d) 4
  32. 32.If 5 notebooks cost ₹65, how much do 8 notebooks cost? (a) ₹117 (b) ₹68 (c) ₹520 (d) ₹104
  33. 33.What is the value of the digit 5 in 97.165? (a) 5 (b) 0.5 (c) 0.05 (d) 0.005
  34. 34.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) 2 min (b) 84 min (c) 168 min (d) 26 min
  35. 35.If 4x + 8 = 3x + 9, what is x? (a) 3 (b) 2 (c) 1 (d) 17
  36. 36.If 24 October is a Thursday, what day of the week is 6 November? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
  37. 37.If 2x − 11 = 11, what is x? (a) 11 (b) 12 (c) 22 (d) 10
  38. 38.If 6x − 6 = 24, what is x? (a) 6 (b) 3 (c) 5 (d) 30
  39. 39.Every pair follows the same rule: 4 : 24, 7 : 36, 8 : 40. What is 5 : ? (a) 28 (b) 30 (c) 25 (d) 29
  40. 40.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 7 cm (c) 65 cm (d) 6 cm

Answer key

  1. 48
  2. 42
  3. 18 days
  4. 5%
  5. 33 days
  6. 10
  7. 5
  8. 9.76
  9. 26
  10. ₹675
  11. 33
  12. 2%
  13. 40
  14. 6
  15. 3%
  16. 15%
  17. 3 cm
  18. 40%
  19. Tuesday
  20. 68
  21. Thursday
  22. 1/3
  23. 10
  24. 18
  25. 9
  26. Wednesday
  27. 30
  28. 64 cm
  29. 38
  30. 10
  31. 6
  32. ₹104
  33. 0.005
  34. 84 min
  35. 1
  36. Wednesday
  37. 11
  38. 5
  39. 28
  40. 6 cm

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