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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 532 · 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.Which of these numbers is divisible by 4? (a) 215 (b) 210 (c) 212 (d) 219
  2. 2.8.31 + 6.4 = ? (a) 14.61 (b) 14.81 (c) 14.71 (d) 8.95
  3. 3.If 2x − 1 = 3, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  4. 4.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 432 (b) 72 (c) 144 (d) 42
  5. 5.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 116 (c) 60 (d) 68
  6. 6.What is 15% of 880? (a) 132 (b) 264 (c) 748 (d) 1320
  7. 7.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 17 days (c) 9 days (d) 8 days
  8. 8.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 86 (b) 64 (c) 4 (d) 65
  9. 9.Two ribbons are 10 cm and 45 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) 5 cm (c) 35 cm (d) 10 cm
  10. 10.What is the units digit of 9^13? (a) 7 (b) 8 (c) 9 (d) 1
  11. 11.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 20% (b) 30% (c) 55% (d) 25%
  12. 12.What is 10% of 340? (a) 340 (b) 68 (c) 306 (d) 34
  13. 13.A teacher has 20 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 70 (d) 20
  14. 14.7.91 + 2.4 = ? (a) 8.15 (b) 10.21 (c) 10.31 (d) 10.41
  15. 15.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 47 (c) 25 (d) 26
  16. 16.If 31 July is a Thursday, what day of the week is 3 August? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  17. 17.8.62 + 9.9 = ? (a) 9.61 (b) 18.62 (c) 18.42 (d) 18.52
  18. 18.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 78 sq cm (c) 38 sq cm (d) 91 sq cm
  19. 19.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 11 cm (d) 19 cm
  20. 20.7.01 + 1.6 = ? (a) 7.17 (b) 8.61 (c) 8.51 (d) 8.71
  21. 21.If 6 October is a Friday, what day of the week is 18 October? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  22. 22.What is the simple interest on ₹5000 at 8% per year for 4 years? (a) ₹400 (b) ₹6600 (c) ₹2000 (d) ₹1600
  23. 23.If x/3 + 8 = 19, what is x? (a) 11 (b) 33 (c) 49 (d) 81
  24. 24.What is the value of the digit 3 in 17.368? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
  25. 25.What is the units digit of 9^17? (a) 1 (b) 8 (c) 7 (d) 9
  26. 26.What is the average of all the whole numbers from 29 to 45? (a) 37 (b) 16 (c) 38 (d) 8
  27. 27.If 12 May is a Wednesday, what day of the week is 8 June? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  28. 28.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  29. 29.Which fraction is greater: 4/9 or 1/3? (a) 4/9 (b) 1/3 (c) They are equal
  30. 30.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 10% (b) 15% (c) 64% (d) 5%
  31. 31.What is the value of the digit 3 in 49.731? (a) 0.3 (b) 0.003 (c) 0.03 (d) 3
  32. 32.The simple interest on ₹3000 for 5 years is ₹1800. What is the rate per year? (a) 13% (b) 12% (c) 11% (d) 60%
  33. 33.If 5 pens cost ₹90, how much do 6 pens cost? (a) ₹91 (b) ₹126 (c) ₹108 (d) ₹540
  34. 34.Which is the greatest: 0.88, 0.715, 0.048, 0.8? (a) 0.88 (b) 0.715 (c) 0.048 (d) 0.8
  35. 35.Which is the greatest: 0.118, 0.034, 0.2, 0.29? (a) 0.118 (b) 0.034 (c) 0.2 (d) 0.29
  36. 36.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 240 min (c) 60 min (d) 32 min
  37. 37.What is the smallest number you must add to 259 to make it divisible by 11? (a) 7 (b) 5 (c) 4 (d) 6
  38. 38.What is the smallest number you must add to 331 to make it divisible by 7? (a) 6 (b) 4 (c) 2 (d) 5
  39. 39.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 35%
  40. 40.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 18 cm

Answer key

  1. 212
  2. 14.71
  3. 2
  4. 72
  5. 116
  6. 132
  7. 8 days
  8. 64
  9. 5 cm
  10. 9
  11. 25%
  12. 34
  13. 10
  14. 10.31
  15. 46
  16. Sunday
  17. 18.52
  18. 78 sq cm
  19. 22 cm
  20. 8.61
  21. Wednesday
  22. ₹1600
  23. 33
  24. 0.3
  25. 9
  26. 37
  27. Tuesday
  28. 169 sq cm
  29. 4/9
  30. 10%
  31. 0.03
  32. 12%
  33. ₹108
  34. 0.88
  35. 0.29
  36. 60 min
  37. 5
  38. 5
  39. 5%
  40. 3 cm

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