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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 34 · 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.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 36 min (c) 224 min (d) 56 min
  2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 36 (c) 30 (d) 72
  3. 3.Which is the greatest: 0.674, 0.7, 0.72, 0.067? (a) 0.674 (b) 0.7 (c) 0.72 (d) 0.067
  4. 4.9.09 + 9.2 = ? (a) 18.29 (b) 18.19 (c) 10.01 (d) 18.39
  5. 5.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 42 min (c) 126 min (d) 3 min
  6. 6.If 7 kites cost ₹154, how much do 9 kites cost? (a) ₹220 (b) ₹156 (c) ₹198 (d) ₹1386
  7. 7.What is the remainder when 106 is divided by 8? (a) 3 (b) 1 (c) 6 (d) 2
  8. 8.What is 1/7 of 49? (a) 7 (b) 14 (c) 42 (d) 8
  9. 9.The simple interest on ₹8500 for 3 years is ₹510. What is the rate per year? (a) 1% (b) 6% (c) 3% (d) 2%
  10. 10.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 750 (b) 150 (c) 300 (d) 55
  11. 11.Which is the greatest: 0.62, 0.022, 0.581, 0.6? (a) 0.62 (b) 0.022 (c) 0.581 (d) 0.6
  12. 12.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 26 cm (d) 72 cm
  13. 13.What is the value of the digit 4 in 47.831? (a) 0.04 (b) 0.4 (c) 4 (d) 40
  14. 14.If 10 May is a Wednesday, what day of the week is 9 June? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  15. 15.7/9 + 4/6 = ? (a) 25/18 (b) 11/15 (c) 13/9 (d) 3/2
  16. 16.9.42 + 1.7 = ? (a) 11.12 (b) 11.22 (c) 9.59 (d) 11.02
  17. 17.The simple interest on ₹9000 for 5 years is ₹1350. What is the rate per year? (a) 15% (b) 3% (c) 2% (d) 4%
  18. 18.Which fraction is greater: 10/11 or 7/9? (a) They are equal (b) 10/11 (c) 7/9
  19. 19.What is 20% of 700? (a) 280 (b) 560 (c) 1400 (d) 140
  20. 20.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 7 : ? (a) 9 (b) 57 (c) 49 (d) 14
  21. 21.Every pair follows the same rule: 6 : 26, 7 : 30, 9 : 38. What is 2 : ? (a) 9 (b) 22 (c) 10 (d) 11
  22. 22.What is the units digit of 7^21? (a) 9 (b) 3 (c) 7 (d) 1
  23. 23.In how many years will ₹4500 earn ₹630 simple interest at 7% per year? (a) 1 year (b) 4 years (c) 2 years (d) 3 years
  24. 24.What is the smallest number you must add to 806 to make it divisible by 11? (a) 9 (b) 3 (c) 8 (d) 7
  25. 25.Which is the greatest: 0.2, 0.29, 0.071, 0.168? (a) 0.2 (b) 0.29 (c) 0.071 (d) 0.168
  26. 26.What is the remainder when 322 is divided by 8? (a) 2 (b) 3 (c) 6 (d) 1
  27. 27.If 20 November is a Monday, what day of the week is 7 December? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  28. 28.If 2 pens cost ₹48, how much do 8 pens cost? (a) ₹216 (b) ₹54 (c) ₹384 (d) ₹192
  29. 29.Which is the greatest: 0.25, 0.058, 0.112, 0.2? (a) 0.25 (b) 0.058 (c) 0.112 (d) 0.2
  30. 30.If 7 kites cost ₹63, how much do 9 kites cost? (a) ₹567 (b) ₹90 (c) ₹65 (d) ₹81
  31. 31.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 45 (c) 24 (d) 90
  32. 32.Which is the greatest: 0.484, 0.52, 0.5, 0.021? (a) 0.484 (b) 0.52 (c) 0.5 (d) 0.021
  33. 33.A teacher has 36 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 12 (c) 48 (d) 6
  34. 34.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 1 : ? (a) 9 (b) 2 (c) 25 (d) 1
  35. 35.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 43 (c) 16 (d) 42
  36. 36.Which fraction is greater: 3/8 or 1/6? (a) 3/8 (b) They are equal (c) 1/6
  37. 37.₹5000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹5350 (b) ₹1400 (c) ₹6400 (d) ₹6750
  38. 38.Which fraction is greater: 4/11 or 4/5? (a) 4/5 (b) 4/11 (c) They are equal
  39. 39.1/2 + 1/6 = ? (a) 1/4 (b) 1/2 (c) 2/3 (d) 5/6
  40. 40.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%

Answer key

  1. 56 min
  2. 36
  3. 0.72
  4. 18.29
  5. 42 min
  6. ₹198
  7. 2
  8. 7
  9. 2%
  10. 150
  11. 0.62
  12. 34 cm
  13. 40
  14. Friday
  15. 13/9
  16. 11.12
  17. 3%
  18. 10/11
  19. 140
  20. 49
  21. 10
  22. 7
  23. 2 years
  24. 8
  25. 0.29
  26. 2
  27. Thursday
  28. ₹192
  29. 0.25
  30. ₹81
  31. 45
  32. 0.52
  33. 12
  34. 1
  35. 42
  36. 3/8
  37. ₹6400
  38. 4/5
  39. 2/3
  40. 15%

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