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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 910 · 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 simple interest on ₹4000 at 6% per year for 3 years? (a) ₹240 (b) ₹4720 (c) ₹960 (d) ₹720
  2. 2.3.34 + 9.6 = ? (a) 4.3 (b) 13.04 (c) 12.84 (d) 12.94
  3. 3.What is 1/2 of 12? (a) 6 (b) 5 (c) 12 (d) 7
  4. 4.What is the simple interest on ₹8000 at 3% per year for 2 years? (a) ₹8480 (b) ₹480 (c) ₹720 (d) ₹240
  5. 5.₹140 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹80 (b) ₹60 (c) ₹20 (d) ₹70
  6. 6.8 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 19 days (b) 9 days (c) 10 days (d) 11 days
  7. 7.If 10 October is a Thursday, what day of the week is 14 November? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  8. 8.Which is the greatest: 0.091, 0.57, 0.5, 0.427? (a) 0.091 (b) 0.57 (c) 0.5 (d) 0.427
  9. 9.What is the value of the digit 6 in 79.864? (a) 0.06 (b) 6 (c) 0.6 (d) 0.006
  10. 10.5.72 + 8.1 = ? (a) 6.53 (b) 13.92 (c) 13.72 (d) 13.82
  11. 11.What is 1/5 of 30? (a) 24 (b) 6 (c) 12 (d) 7
  12. 12.1.43 + 9.9 = ? (a) 11.33 (b) 2.42 (c) 11.23 (d) 11.43
  13. 13.₹611 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹423 (b) ₹235 (c) ₹47 (d) ₹376
  14. 14.₹2000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹2880 (b) ₹660 (c) ₹2660 (d) ₹2220
  15. 15.Which of these numbers is divisible by 4? (a) 2369 (b) 2373 (c) 2366 (d) 2368
  16. 16.Which of these numbers is divisible by 6? (a) 1270 (b) 1260 (c) 1263 (d) 1256
  17. 17.If 7 notebooks cost ₹77, how much do 9 notebooks cost? (a) ₹79 (b) ₹99 (c) ₹110 (d) ₹693
  18. 18.If 2 August is a Friday, what day of the week is 13 August? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  19. 19.Which of these numbers is divisible by 6? (a) 2119 (b) 2125 (c) 2124 (d) 2131
  20. 20.If 4x + 11 = 43, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  21. 21.If 5x + 3 = 4x + 7, what is x? (a) 10 (b) 5 (c) 6 (d) 4
  22. 22.Which is the greatest: 0.021, 0.2, 0.149, 0.21? (a) 0.021 (b) 0.2 (c) 0.149 (d) 0.21
  23. 23.What is 1/5 of 25? (a) 20 (b) 6 (c) 5 (d) 10
  24. 24.Every pair follows the same rule: 2 : 18, 5 : 21, 9 : 25. What is 4 : ? (a) 21 (b) 20 (c) 36 (d) 19
  25. 25.₹119 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹102 (b) ₹34 (c) ₹17 (d) ₹85
  26. 26.What is the remainder when 709 is divided by 10? (a) 1 (b) 8 (c) 7 (d) 9
  27. 27.If 13 August is a Monday, what day of the week is 24 August? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  28. 28.A teacher has 32 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 8 (c) 160 (d) 32
  29. 29.A teacher has 18 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 9 (c) 18 (d) 45
  30. 30.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 54 (b) 720 (c) 120 (d) 240
  31. 31.Every pair follows the same rule: 3 : 14, 6 : 17, 7 : 18. What is 5 : ? (a) 16 (b) 17 (c) 18 (d) 15
  32. 32.Which fraction is greater: 7/12 or 1/7? (a) 1/7 (b) 7/12 (c) They are equal
  33. 33.What is the average of 56, 61, 65, 84 and 79? (a) 68 (b) 70 (c) 69 (d) 71
  34. 34.What is the average of 91, 81, 86, 83, 72 and 43? (a) 78 (b) 76 (c) 75 (d) 77
  35. 35.If 18 October is a Saturday, what day of the week is 19 November? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  36. 36.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 378 min (d) 39 min
  37. 37.What is the smallest number you must add to 79 to make it divisible by 3? (a) 1 (b) 2
  38. 38.4/7 + 1/2 = ? (a) 8/7 (b) 1 (c) 15/14 (d) 5/9
  39. 39.Which fraction is greater: 2/3 or 3/8? (a) 3/8 (b) They are equal (c) 2/3
  40. 40.If 6 pens cost ₹66, how much do 10 pens cost? (a) ₹70 (b) ₹121 (c) ₹110 (d) ₹660

Answer key

  1. ₹720
  2. 12.94
  3. 6
  4. ₹480
  5. ₹80
  6. 10 days
  7. Thursday
  8. 0.57
  9. 0.06
  10. 13.82
  11. 6
  12. 11.33
  13. ₹376
  14. ₹2660
  15. 2368
  16. 1260
  17. ₹99
  18. Tuesday
  19. 2124
  20. 8
  21. 4
  22. 0.21
  23. 5
  24. 20
  25. ₹85
  26. 9
  27. Friday
  28. 8
  29. 9
  30. 120
  31. 16
  32. 7/12
  33. 69
  34. 76
  35. Wednesday
  36. 126 min
  37. 2
  38. 15/14
  39. 2/3
  40. ₹110

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