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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 725 · 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. 1.6.35 + 5.9 = ? (a) 6.94 (b) 12.25 (c) 12.15 (d) 12.35
  2. 2.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 120 min (c) 54 min (d) 6 min
  3. 3.If 4x − 28 = 12, what is x? (a) 9 (b) 11 (c) 40 (d) 10
  4. 4.What is 7/9 of 81? (a) 72 (b) 18 (c) 63 (d) 9
  5. 5.Every pair follows the same rule: 2 : 11, 4 : 17, 9 : 32. What is 5 : ? (a) 19 (b) 21 (c) 20 (d) 14
  6. 6.Which fraction is greater: 2/3 or 3/4? (a) They are equal (b) 3/4 (c) 2/3
  7. 7.Every pair follows the same rule: 4 : 19, 7 : 34, 9 : 44. What is 6 : ? (a) 28 (b) 21 (c) 29 (d) 30
  8. 8.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 44 (c) 50 (d) 86
  9. 9.In how many years will ₹9000 earn ₹4500 simple interest at 10% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
  10. 10.If 9x + 13 = 121, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  11. 11.4.41 + 4.5 = ? (a) 8.81 (b) 4.86 (c) 9.01 (d) 8.91
  12. 12.1/3 + 1/8 = ? (a) 1/2 (b) 11/24 (c) 5/12 (d) 2/11
  13. 13.If 3 October is a Wednesday, what day of the week is 18 October? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  14. 14.Which fraction is greater: 9/10 or 2/5? (a) 2/5 (b) They are equal (c) 9/10
  15. 15.5.54 + 3.2 = ? (a) 8.64 (b) 8.74 (c) 8.84 (d) 5.86
  16. 16.What is the remainder when 550 is divided by 9? (a) 1 (b) 0 (c) 2 (d) 8
  17. 17.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
  18. 18.In how many years will ₹1500 earn ₹375 simple interest at 5% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
  19. 19.Every pair follows the same rule: 4 : 12, 5 : 17, 8 : 32. What is 9 : ? (a) 37 (b) 17 (c) 27 (d) 38
  20. 20.What is 1/2 of 6? (a) 3 (b) 2 (c) 6 (d) 4
  21. 21.What is the smallest number you must add to 164 to make it divisible by 3? (a) 1 (b) 2
  22. 22.Every pair follows the same rule: 2 : 6, 3 : 9, 6 : 18. What is 7 : ? (a) 11 (b) 22 (c) 20 (d) 21
  23. 23.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 21 cm (c) 8 cm (d) 4 cm
  24. 24.Today is Friday. What day of the week will it be after 53 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  25. 25.What is 2/5 of 20? (a) 4 (b) 12 (c) 8 (d) 9
  26. 26.6.53 + 6.3 = ? (a) 12.73 (b) 12.93 (c) 7.16 (d) 12.83
  27. 27.A teacher has 10 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 4 (d) 10
  28. 28.If 4x + 20 = 68, what is x? (a) 48 (b) 12 (c) 13 (d) 22
  29. 29.Every pair follows the same rule: 4 : 18, 6 : 38, 7 : 51. What is 9 : ? (a) 84 (b) 77 (c) 23 (d) 83
  30. 30.Today is Monday. What day of the week will it be after 84 days? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  31. 31.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 62 (b) 48 (c) 18 (d) 46
  32. 32.What is the value of the digit 9 in 92.478? (a) 90 (b) 0.09 (c) 9 (d) 0.9
  33. 33.2/3 + 1/2 = ? (a) 4/3 (b) 1 (c) 7/6 (d) 3/5
  34. 34.Which fraction is greater: 1/3 or 10/11? (a) 10/11 (b) 1/3 (c) They are equal
  35. 35.5.85 + 7.6 = ? (a) 13.55 (b) 6.61 (c) 13.35 (d) 13.45
  36. 36.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 6 days (b) 13 days (c) 4 days (d) 5 days
  37. 37.1/8 + 2/6 = ? (a) 11/24 (b) 5/12 (c) 1/2 (d) 3/14
  38. 38.Which fraction is greater: 2/3 or 3/10? (a) They are equal (b) 3/10 (c) 2/3
  39. 39.Today is Tuesday. What day of the week will it be after 58 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  40. 40.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm

Answer key

  1. 12.25
  2. 120 min
  3. 10
  4. 63
  5. 20
  6. 3/4
  7. 29
  8. 86
  9. 5 years
  10. 12
  11. 8.91
  12. 11/24
  13. Thursday
  14. 9/10
  15. 8.74
  16. 1
  17. 171 sq cm
  18. 5 years
  19. 37
  20. 3
  21. 1
  22. 21
  23. 4 cm
  24. Tuesday
  25. 8
  26. 12.83
  27. 2
  28. 12
  29. 83
  30. Monday
  31. 62
  32. 90
  33. 7/6
  34. 10/11
  35. 13.45
  36. 5 days
  37. 11/24
  38. 2/3
  39. Thursday
  40. 81 sq cm

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