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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 230 · 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 smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 250 (c) 100 (d) 35
  2. 2.If 14 November is a Friday, what day of the week is 14 December? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  3. 3.What is the value of the digit 4 in 24.876? (a) 0.04 (b) 0.4 (c) 40 (d) 4
  4. 4.What is 20% of 380? (a) 760 (b) 152 (c) 304 (d) 76
  5. 5.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 40 min (c) 336 min (d) 84 min
  6. 6.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 101 (b) 11 (c) 20 (d) 125
  7. 7.If 15 July is a Wednesday, what day of the week is 23 July? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  8. 8.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 150 min (c) 750 min (d) 5 min
  9. 9.What is 1/3 of 21? (a) 6 (b) 14 (c) 7 (d) 8
  10. 10.If 8x + 12 = 5x + 21, what is x? (a) 4 (b) 11 (c) 5 (d) 3
  11. 11.Which fraction is greater: 2/3 or 5/8? (a) They are equal (b) 2/3 (c) 5/8
  12. 12.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 164 (b) 125 (c) 5 (d) 126
  13. 13.If 20 November is a Tuesday, what day of the week is 14 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday
  14. 14.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 16 (d) 8
  15. 15.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 33 cm
  16. 16.Every pair follows the same rule: 7 : 30, 8 : 35, 9 : 40. What is 3 : ? (a) 26 (b) 11 (c) 9 (d) 10
  17. 17.What is the average of 50, 51, 40, 27, 24 and 36? (a) 40 (b) 38 (c) 37 (d) 39
  18. 18.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 48% (b) 10% (c) 5% (d) 15%
  19. 19.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 2 : ? (a) 5 (b) 4 (c) 8 (d) 6
  20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 224 (b) 36 (c) 112 (d) 56
  21. 21.What is the value of the digit 9 in 84.697? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
  22. 22.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 69 (b) 16 (c) 55 (d) 57
  23. 23.What is 1/6 of 12? (a) 2 (b) 3 (c) 10 (d) 4
  24. 24.If 3x − 2 = 19, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  25. 25.If 4x + 10 = 2x + 24, what is x? (a) 7 (b) 8 (c) 9 (d) 17
  26. 26.₹4000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹5080 (b) ₹4360 (c) ₹4720 (d) ₹720
  27. 27.Every pair follows the same rule: 4 : 17, 6 : 25, 8 : 33. What is 7 : ? (a) 20 (b) 30 (c) 29 (d) 28
  28. 28.The simple interest on ₹9000 for 3 years is ₹2700. What is the rate per year? (a) 11% (b) 30% (c) 9% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 16%
  30. 30.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 8 (b) 9 (c) 7 (d) 2
  31. 31.Which fraction is greater: 1/10 or 1/4? (a) 1/4 (b) 1/10 (c) They are equal
  32. 32.₹7500 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹750 (b) ₹7650 (c) ₹8400 (d) ₹8250
  33. 33.What is the average of 82, 81, 78 and 79? (a) 80 (b) 81 (c) 79 (d) 82
  34. 34.Every pair follows the same rule: 3 : 10, 5 : 26, 8 : 65. What is 6 : ? (a) 13 (b) 37 (c) 38 (d) 39
  35. 35.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
  36. 36.If 8x + 17 = 5x + 44, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  37. 37.What is the simple interest on ₹5500 at 2% per year for 5 years? (a) ₹660 (b) ₹110 (c) ₹550 (d) ₹6050
  38. 38.What is the average of 28, 24, 26, 13, 29 and 36? (a) 28 (b) 25 (c) 27 (d) 26
  39. 39.If 7x + 20 = 62, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  40. 40.What is the average of 54, 70, 68, 57, 76 and 59? (a) 65 (b) 64 (c) 66 (d) 63

Answer key

  1. 50
  2. Sunday
  3. 4
  4. 76
  5. 84 min
  6. 125
  7. Thursday
  8. 150 min
  9. 7
  10. 3
  11. 2/3
  12. 125
  13. Friday
  14. 8
  15. 4 cm
  16. 10
  17. 38
  18. 10%
  19. 4
  20. 56
  21. 0.09
  22. 69
  23. 2
  24. 7
  25. 7
  26. ₹4720
  27. 29
  28. 10%
  29. 15%
  30. 8
  31. 1/4
  32. ₹8250
  33. 80
  34. 37
  35. 30%
  36. 9
  37. ₹550
  38. 26
  39. 6
  40. 64

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