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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 679 · 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. 1.2/6 + 8/9 = ? (a) 23/18 (b) 2/3 (c) 7/6 (d) 11/9
  2. 2.What is the average of all the whole numbers from 19 to 57? (a) 19 (b) 39 (c) 37 (d) 38
  3. 3.In how many years will ₹4000 earn ₹1320 simple interest at 11% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  4. 4.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 1 : ? (a) 4 (b) 7 (c) 1 (d) 2
  5. 5.What is 15% of 220? (a) 330 (b) 187 (c) 66 (d) 33
  6. 6.What is the simple interest on ₹4000 at 10% per year for 3 years? (a) ₹1600 (b) ₹400 (c) ₹1200 (d) ₹5200
  7. 7.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 9 cm (c) 112 cm (d) 10 cm
  8. 8.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) 18 (d) 28
  9. 9.Which fraction is greater: 3/5 or 1/7? (a) They are equal (b) 3/5 (c) 1/7
  10. 10.2/3 + 1/6 = ? (a) 1/3 (b) 1 (c) 5/6 (d) 2/3
  11. 11.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 21 days (d) 9 days
  12. 12.4/9 + 4/9 = ? (a) 8/9 (b) 4/9 (c) 7/9 (d) 1
  13. 13.Which of these numbers is divisible by 9? (a) 424 (b) 432 (c) 444 (d) 438
  14. 14.What is the remainder when 115 is divided by 4? (a) 1 (b) 0 (c) 2 (d) 3
  15. 15.What is 25% of 260? (a) 650 (b) 195 (c) 130 (d) 65
  16. 16.1/2 + 1/8 = ? (a) 3/4 (b) 1/2 (c) 5/8 (d) 1/5
  17. 17.What is the units digit of 2^46? (a) 2 (b) 8 (c) 6 (d) 4
  18. 18.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 129 (b) 64 (c) 72 (d) 128
  19. 19.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 360 (b) 120 (c) 42 (d) 60
  20. 20.Which is the smallest: 0.71, 0.7, 0.646, 0.028? (a) 0.71 (b) 0.7 (c) 0.646 (d) 0.028
  21. 21.What is the remainder when 52 is divided by 3? (a) 0 (b) 1 (c) 2
  22. 22.Which is the greatest: 0.169, 0.2, 0.017, 0.29? (a) 0.169 (b) 0.2 (c) 0.017 (d) 0.29
  23. 23.If 7x + 8 = x + 38, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  24. 24.Which fraction is greater: 1/3 or 3/4? (a) 3/4 (b) 1/3 (c) They are equal
  25. 25.4/8 + 2/3 = ? (a) 9/8 (b) 7/6 (c) 6/11 (d) 29/24
  26. 26.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 42 (b) 71 (c) 65 (d) 101
  27. 27.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) 96 min (d) 24 min
  28. 28.The simple interest on ₹3500 for 5 years is ₹525. What is the rate per year? (a) 4% (b) 15% (c) 2% (d) 3%
  29. 29.4.11 + 4.8 = ? (a) 8.91 (b) 9.01 (c) 8.81 (d) 4.59
  30. 30.1/2 + 1/5 = ? (a) 4/5 (b) 2/7 (c) 7/10 (d) 3/5
  31. 31.What is the average of 74, 61, 50, 67, 53 and 79? (a) 66 (b) 65 (c) 64 (d) 63
  32. 32.7.78 + 7.5 = ? (a) 15.38 (b) 15.18 (c) 8.53 (d) 15.28
  33. 33.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 15 (b) 43 (c) 55 (d) 83
  34. 34.If 8x + 18 = 122, what is x? (a) 13 (b) 104 (c) 14 (d) 12
  35. 35.7.09 + 7.2 = ? (a) 14.19 (b) 7.81 (c) 14.29 (d) 14.39
  36. 36.What is the smallest number you must add to 153 to make it divisible by 7? (a) 2 (b) 6 (c) 3 (d) 1
  37. 37.A teacher has 42 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 294 (b) 1 (c) 7 (d) 42
  38. 38.What is the simple interest on ₹5000 at 10% per year for 4 years? (a) ₹2000 (b) ₹2500 (c) ₹7000 (d) ₹500
  39. 39.Every pair follows the same rule: 4 : 16, 6 : 36, 8 : 64. What is 3 : ? (a) 9 (b) 15 (c) 12 (d) 10
  40. 40.What is the smallest number you must add to 263 to make it divisible by 9? (a) 6 (b) 2 (c) 8 (d) 7

Answer key

  1. 11/9
  2. 38
  3. 3 years
  4. 1
  5. 33
  6. ₹1200
  7. 9 cm
  8. 28
  9. 3/5
  10. 5/6
  11. 5 days
  12. 8/9
  13. 432
  14. 3
  15. 65
  16. 5/8
  17. 4
  18. 128
  19. 60
  20. 0.028
  21. 1
  22. 0.29
  23. 5
  24. 3/4
  25. 7/6
  26. 101
  27. 24 min
  28. 3%
  29. 8.91
  30. 7/10
  31. 64
  32. 15.28
  33. 55
  34. 13
  35. 14.29
  36. 1
  37. 7
  38. ₹2000
  39. 9
  40. 7

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