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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 164 · 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. 1.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 4 days (d) 9 days
  2. 2.What is the smallest number you must add to 220 to make it divisible by 3? (a) 2 (b) 1
  3. 3.Which of these numbers is divisible by 8? (a) 4227 (b) 4235 (c) 4232 (d) 4241
  4. 4.What is the remainder when 195 is divided by 8? (a) 4 (b) 2 (c) 3 (d) 5
  5. 5.Every pair follows the same rule: 4 : 28, 5 : 35, 7 : 49. What is 8 : ? (a) 57 (b) 32 (c) 55 (d) 56
  6. 6.Today is Saturday. What day of the week will it be after 64 days? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
  7. 7.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 40 (c) 10 (d) 30
  8. 8.9.68 + 6.2 = ? (a) 10.3 (b) 15.98 (c) 15.78 (d) 15.88
  9. 9.If 4x + 10 = x + 43, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  10. 10.4/6 + 1/5 = ? (a) 13/15 (b) 9/10 (c) 5/6 (d) 5/11
  11. 11.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 120 (b) 6 (c) 217 (d) 216
  12. 12.If 6x + 6 = 48, what is x? (a) 7 (b) 42 (c) 9 (d) 8
  13. 13.If 9x + 9 = 72, what is x? (a) 63 (b) 9 (c) 8 (d) 7
  14. 14.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 16 days (d) 11 days
  15. 15.What is the value of the digit 4 in 58.624? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  16. 16.Today is Tuesday. What day of the week will it be after 76 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  17. 17.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 10 cm (c) 5 cm (d) 20 cm
  18. 18.The simple interest on ₹3000 for 4 years is ₹480. What is the rate per year? (a) 4% (b) 5% (c) 16% (d) 3%
  19. 19.Which of these numbers is divisible by 8? (a) 2076 (b) 2061 (c) 2064 (d) 2071
  20. 20.A bag marked ₹1540 is sold at a 10% discount. What is its selling price? (a) ₹1694 (b) ₹1386 (c) ₹1530 (d) ₹154
  21. 21.If 4x + 13 = 3x + 18, what is x? (a) 31 (b) 6 (c) 5 (d) 7
  22. 22.If x/6 + 14 = 16, what is x? (a) 82 (b) 2 (c) 180 (d) 12
  23. 23.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%
  24. 24.If 12 May is a Friday, what day of the week is 21 May? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  25. 25.Every pair follows the same rule: 4 : 36, 6 : 54, 7 : 63. What is 8 : ? (a) 73 (b) 40 (c) 71 (d) 72
  26. 26.9.88 + 9.7 = ? (a) 10.85 (b) 19.48 (c) 19.68 (d) 19.58
  27. 27.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 40 (c) 71 (d) 39
  28. 28.Today is Tuesday. What day of the week will it be after 80 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  29. 29.A teacher has 27 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) 27 (c) 9 (d) 3
  30. 30.Two ribbons are 6 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 3 cm (c) 6 cm (d) 21 cm
  31. 31.Which fraction is greater: 3/8 or 5/7? (a) 3/8 (b) 5/7 (c) They are equal
  32. 32.Every pair follows the same rule: 3 : 6, 7 : 22, 8 : 26. What is 5 : ? (a) 14 (b) 10 (c) 15 (d) 8
  33. 33.If 8 pens cost ₹40, how much do 11 pens cost? (a) ₹55 (b) ₹60 (c) ₹440 (d) ₹43
  34. 34.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  35. 35.What is 40% of 140? (a) 112 (b) 560 (c) 84 (d) 56
  36. 36.What is the remainder when 42 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 14 cm (d) 48 cm
  38. 38.Two ribbons are 45 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 45 cm (c) 27 cm (d) 3 cm
  39. 39.What is the remainder when 504 is divided by 11? (a) 9 (b) 10 (c) 2 (d) 8
  40. 40.If 3 December is a Saturday, what day of the week is 16 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday

Answer key

  1. 9 days
  2. 2
  3. 4232
  4. 3
  5. 56
  6. Sunday
  7. 10
  8. 15.88
  9. 11
  10. 13/15
  11. 216
  12. 7
  13. 7
  14. 16 days
  15. 0.004
  16. Monday
  17. 10 cm
  18. 4%
  19. 2064
  20. ₹1386
  21. 5
  22. 12
  23. 20%
  24. Sunday
  25. 72
  26. 19.58
  27. 71
  28. Friday
  29. 9
  30. 3 cm
  31. 5/7
  32. 14
  33. ₹55
  34. 40%
  35. 56
  36. 2
  37. 28 cm
  38. 9 cm
  39. 9
  40. Friday

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