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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 433 · 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 value of the digit 5 in 51.843? (a) 0.5 (b) 0.05 (c) 50 (d) 5
  2. 2.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 38 sq cm (c) 21 sq cm (d) 57 sq cm
  3. 3.What is the value of the digit 3 in 35.961? (a) 3 (b) 30 (c) 0.03 (d) 0.3
  4. 4.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 4 min (c) 24 min (d) 96 min
  5. 5.Every pair follows the same rule: 6 : 38, 7 : 51, 9 : 83. What is 4 : ? (a) 19 (b) 36 (c) 3 (d) 18
  6. 6.Today is Tuesday. What day of the week will it be after 30 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  7. 7.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 36 (b) 15 (c) 54 (d) 18
  8. 8.What is the value of the digit 2 in 48.325? (a) 0.2 (b) 0.002 (c) 2 (d) 0.02
  9. 9.3.17 + 1.3 = ? (a) 4.57 (b) 3.3 (c) 4.47 (d) 4.37
  10. 10.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 50 (b) 28 (c) 35 (d) 49
  11. 11.9 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
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 12 sq cm (d) 49 sq cm
  13. 13.Which fraction is greater: 1/3 or 3/4? (a) They are equal (b) 1/3 (c) 3/4
  14. 14.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 44 (b) 120 (c) 240 (d) 480
  15. 15.If x/4 + 3 = 15, what is x? (a) 48 (b) 72 (c) 12 (d) 57
  16. 16.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 50 sq cm (d) 15 sq cm
  17. 17.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 71 (b) 41 (c) 36 (d) 40
  18. 18.Every pair follows the same rule: 2 : 4, 4 : 16, 7 : 49. What is 9 : ? (a) 11 (b) 18 (c) 81 (d) 71
  19. 19.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 78 (b) 48 (c) 91 (d) 35
  20. 20.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 50 sq cm (c) 25 sq cm (d) 136 sq cm
  21. 21.If 4 mangoes cost ₹16, how much do 2 mangoes cost? (a) ₹12 (b) ₹32 (c) ₹8 (d) ₹14
  22. 22.Every pair follows the same rule: 2 : 6, 8 : 66, 9 : 83. What is 7 : ? (a) 49 (b) 11 (c) 21 (d) 51
  23. 23.What is the value of the digit 2 in 96.125? (a) 0.02 (b) 2 (c) 0.2 (d) 0.002
  24. 24.If x/3 + 1 = 10, what is x? (a) 27 (b) 29 (c) 9 (d) 33
  25. 25.A shopkeeper buys a toy for ₹460 and sells it for ₹598. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  26. 26.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 87%
  27. 27.Which fraction is greater: 3/8 or 1/3? (a) 1/3 (b) They are equal (c) 3/8
  28. 28.The simple interest on ₹7000 for 5 years is ₹1400. What is the rate per year? (a) 3% (b) 5% (c) 4% (d) 20%
  29. 29.What is 1/9 of 36? (a) 5 (b) 8 (c) 32 (d) 4
  30. 30.If x/3 + 4 = 10, what is x? (a) 26 (b) 6 (c) 18 (d) 42
  31. 31.If 26 May is a Wednesday, what day of the week is 18 June? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  32. 32.If 4 pens cost ₹88, how much do 11 pens cost? (a) ₹95 (b) ₹264 (c) ₹242 (d) ₹968
  33. 33.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 11 days (c) 9 days (d) 17 days
  34. 34.If 3x − 2 = 13, what is x? (a) 5 (b) 15 (c) 4 (d) 6
  35. 35.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 35 days (b) 36 days (c) 17 days (d) 11 days
  36. 36.Which fraction is greater: 1/12 or 3/5? (a) 3/5 (b) 1/12 (c) They are equal
  37. 37.If 21 October is a Thursday, what day of the week is 4 November? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  38. 38.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
  39. 39.Which is the greatest: 0.144, 0.24, 0.2, 0.084? (a) 0.144 (b) 0.24 (c) 0.2 (d) 0.084
  40. 40.If 20 March is a Sunday, what day of the week is 14 April? (a) Wednesday (b) Friday (c) Saturday (d) Thursday

Answer key

  1. 50
  2. 38 sq cm
  3. 30
  4. 24 min
  5. 18
  6. Thursday
  7. 18
  8. 0.02
  9. 4.47
  10. 49
  11. 18 days
  12. 36 sq cm
  13. 3/4
  14. 120
  15. 48
  16. 50 sq cm
  17. 71
  18. 81
  19. 78
  20. 136 sq cm
  21. ₹8
  22. 51
  23. 0.02
  24. 27
  25. 30%
  26. 15%
  27. 3/8
  28. 4%
  29. 4
  30. 18
  31. Friday
  32. ₹242
  33. 8 days
  34. 5
  35. 35 days
  36. 3/5
  37. Thursday
  38. 42
  39. 0.24
  40. Thursday

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