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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 567 · 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.Which fraction is greater: 5/6 or 1/8? (a) 5/6 (b) 1/8 (c) They are equal
  2. 2.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 13 (b) 25 (c) 20 (d) 8
  3. 3.What is the average of all the whole numbers from 45 to 55? (a) 50 (b) 51 (c) 10 (d) 5
  4. 4.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 36 (c) 210 (d) 105
  5. 5.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 156 sq cm (d) 169 sq cm
  6. 6.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 15 days (c) 13 days (d) 9 days
  7. 7.If 2 pens cost ₹18, how much do 3 pens cost? (a) ₹27 (b) ₹19 (c) ₹36 (d) ₹54
  8. 8.What is 15% of 500? (a) 425 (b) 75 (c) 150 (d) 750
  9. 9.Which fraction is greater: 6/7 or 1/6? (a) 6/7 (b) 1/6 (c) They are equal
  10. 10.What is the average of 61, 60, 70 and 61? (a) 84 (b) 64 (c) 62 (d) 63
  11. 11.In how many years will ₹9000 earn ₹5400 simple interest at 12% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  12. 12.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 30 cm (c) 52 cm (d) 17 cm
  13. 13.₹144 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹60 (b) ₹72 (c) ₹84 (d) ₹12
  14. 14.Every pair follows the same rule: 5 : 28, 8 : 67, 9 : 84. What is 2 : ? (a) 7 (b) 6 (c) 8 (d) 25
  15. 15.What is 5% of 620? (a) 62 (b) 31 (c) 589 (d) 310
  16. 16.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 21 cm (c) 12 cm (d) 27 cm
  17. 17.If 8x + 14 = 6x + 30, what is x? (a) 9 (b) 22 (c) 8 (d) 10
  18. 18.Every pair follows the same rule: 2 : 8, 4 : 16, 8 : 32. What is 5 : ? (a) 11 (b) 19 (c) 20 (d) 21
  19. 19.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 7 : ? (a) 28 (b) 49 (c) 47 (d) 19
  20. 20.What is the value of the digit 2 in 53.218? (a) 2 (b) 0.2 (c) 0.002 (d) 0.02
  21. 21.If 23 January is a Saturday, what day of the week is 10 February? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  22. 22.In how many years will ₹10000 earn ₹6000 simple interest at 12% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  23. 23.1/2 + 3/5 = ? (a) 6/5 (b) 4/7 (c) 1 (d) 11/10
  24. 24.If 7 May is a Friday, what day of the week is 22 May? (a) Friday (b) Monday (c) Sunday (d) Saturday
  25. 25.Which fraction is greater: 1/5 or 8/9? (a) 8/9 (b) 1/5 (c) They are equal
  26. 26.Every pair follows the same rule: 2 : 20, 7 : 25, 8 : 26. What is 6 : ? (a) 25 (b) 60 (c) 23 (d) 24
  27. 27.What is the smallest number you must add to 279 to make it divisible by 5? (a) 2 (b) 4 (c) 1 (d) 3
  28. 28.If 17 June is a Friday, what day of the week is 20 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  29. 29.Which of these numbers is divisible by 9? (a) 7735 (b) 7728 (c) 7741 (d) 7731
  30. 30.If 3 kites cost ₹24, how much do 4 kites cost? (a) ₹32 (b) ₹25 (c) ₹96 (d) ₹40
  31. 31.If 8 March is a Tuesday, what day of the week is 18 March? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  32. 32.If 8 pens cost ₹40, how much do 4 pens cost? (a) ₹160 (b) ₹20 (c) ₹25 (d) ₹36
  33. 33.What is the smallest number you must add to 281 to make it divisible by 7? (a) 4 (b) 6 (c) 5 (d) 1
  34. 34.4.21 + 7.3 = ? (a) 11.51 (b) 11.61 (c) 11.41 (d) 4.94
  35. 35.If 2 notebooks cost ₹12, how much do 5 notebooks cost? (a) ₹15 (b) ₹60 (c) ₹30 (d) ₹36
  36. 36.If 12 April is a Wednesday, what day of the week is 3 May? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  37. 37.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 224 (b) 112 (c) 36 (d) 56
  38. 38.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 57 (b) 51 (c) 87 (d) 42
  39. 39.Today is Sunday. What day of the week will it be after 19 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  40. 40.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%

Answer key

  1. 5/6
  2. 20
  3. 50
  4. 105
  5. 156 sq cm
  6. 14 days
  7. ₹27
  8. 75
  9. 6/7
  10. 63
  11. 5 years
  12. 34 cm
  13. ₹84
  14. 7
  15. 31
  16. 24 cm
  17. 8
  18. 20
  19. 49
  20. 0.2
  21. Wednesday
  22. 5 years
  23. 11/10
  24. Saturday
  25. 8/9
  26. 24
  27. 1
  28. Wednesday
  29. 7731
  30. ₹32
  31. Friday
  32. ₹20
  33. 6
  34. 11.51
  35. ₹30
  36. Wednesday
  37. 56
  38. 87
  39. Friday
  40. 50%

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