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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 45 · 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.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 3 (c) 27 (d) 9
  2. 2.Which of these numbers is divisible by 6? (a) 1240 (b) 1245 (c) 1249 (d) 1242
  3. 3.Two ribbons are 55 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 55 cm (c) 11 cm (d) 1 cm
  4. 4.Which fraction is greater: 1/12 or 2/7? (a) 2/7 (b) They are equal (c) 1/12
  5. 5.If 5x + 9 = 2x + 21, what is x? (a) 5 (b) 10 (c) 6 (d) 4
  6. 6.What is 3/5 of 25? (a) 5 (b) 10 (c) 20 (d) 15
  7. 7.What is the remainder when 428 is divided by 10? (a) 7 (b) 9 (c) 8 (d) 2
  8. 8.What is 50% of 480? (a) 2400 (b) 240 (c) 480 (d) 241
  9. 9.1/3 + 3/8 = ? (a) 4/11 (b) 3/4 (c) 2/3 (d) 17/24
  10. 10.If x/5 + 2 = 6, what is x? (a) 40 (b) 4 (c) 20 (d) 28
  11. 11.What is 7/8 of 56? (a) 56 (b) 50 (c) 7 (d) 49
  12. 12.What is 1/3 of 9? (a) 6 (b) 2 (c) 3 (d) 4
  13. 13.What is the average of 56, 72, 60 and 80? (a) 68 (b) 66 (c) 69 (d) 67
  14. 14.Every pair follows the same rule: 2 : 16, 3 : 17, 8 : 22. What is 7 : ? (a) 56 (b) 20 (c) 22 (d) 21
  15. 15.4.49 + 4.1 = ? (a) 8.69 (b) 4.9 (c) 8.49 (d) 8.59
  16. 16.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 8 : ? (a) 24 (b) 64 (c) 14 (d) 56
  17. 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 45 sq cm (d) 54 sq cm
  18. 18.What is the remainder when 253 is divided by 7? (a) 0 (b) 1 (c) 6 (d) 2
  19. 19.A teacher has 36 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 144 (b) 6 (c) 36 (d) 12
  20. 20.₹5500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹5775 (b) ₹1375 (c) ₹6875 (d) ₹7150
  21. 21.If x/3 + 7 = 18, what is x? (a) 47 (b) 33 (c) 75 (d) 11
  22. 22.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 6 min (c) 84 min (d) 504 min
  23. 23.₹2500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹3500 (b) ₹2750 (c) ₹3750 (d) ₹1000
  24. 24.If 5x + 7 = 2x + 19, what is x? (a) 4 (b) 6 (c) 5 (d) 3
  25. 25.What is 3/4 of 12? (a) 12 (b) 9 (c) 3 (d) 10
  26. 26.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 30 (c) 20 (d) 10
  27. 27.What is the average of all the whole numbers from 59 to 67? (a) 8 (b) 64 (c) 4 (d) 63
  28. 28.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 3 days (d) 4 days
  29. 29.₹141 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹141 (b) ₹94 (c) ₹47 (d) ₹95
  30. 30.2.87 + 9.4 = ? (a) 12.37 (b) 3.81 (c) 12.27 (d) 12.17
  31. 31.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 40 days (c) 39 days (d) 9 days
  32. 32.If 9x + 5 = 122, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  33. 33.The simple interest on ₹10000 for 5 years is ₹2000. What is the rate per year? (a) 5% (b) 4% (c) 20% (d) 3%
  34. 34.What is the average of 48, 66, 43 and 71? (a) 58 (b) 57 (c) 56 (d) 76
  35. 35.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 23 (c) 21 (d) 41
  36. 36.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 29 (c) 28 (d) 18
  37. 37.If 7 notebooks cost ₹161, how much do 9 notebooks cost? (a) ₹230 (b) ₹163 (c) ₹207 (d) ₹1449
  38. 38.If 8 October is a Tuesday, what day of the week is 24 October? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  39. 39.Every pair follows the same rule: 3 : 18, 5 : 34, 7 : 58. What is 9 : ? (a) 24 (b) 54 (c) 90 (d) 82
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm

Answer key

  1. 9
  2. 1242
  3. 11 cm
  4. 2/7
  5. 4
  6. 15
  7. 8
  8. 240
  9. 17/24
  10. 20
  11. 49
  12. 3
  13. 67
  14. 21
  15. 8.59
  16. 64
  17. 45 sq cm
  18. 1
  19. 12
  20. ₹6875
  21. 33
  22. 84 min
  23. ₹3500
  24. 4
  25. 9
  26. 10
  27. 63
  28. 3 days
  29. ₹94
  30. 12.27
  31. 39 days
  32. 13
  33. 4%
  34. 57
  35. 41
  36. 28
  37. ₹207
  38. Thursday
  39. 90
  40. 35 sq cm

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