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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 528 · 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 is the greatest: 0.56, 0.068, 0.419, 0.5? (a) 0.56 (b) 0.068 (c) 0.419 (d) 0.5
  2. 2.Which is the greatest: 0.34, 0.3, 0.219, 0.028? (a) 0.34 (b) 0.3 (c) 0.219 (d) 0.028
  3. 3.What is the value of the digit 1 in 21.479? (a) 1 (b) 10 (c) 0.01 (d) 0.1
  4. 4.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 24 (b) 68 (c) 50 (d) 47
  5. 5.If 6x + 27 = 75, what is x? (a) 9 (b) 8 (c) 17 (d) 48
  6. 6.₹6000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹2640 (b) ₹8640 (c) ₹9300 (d) ₹6660
  7. 7.Which is the greatest: 0.356, 0.48, 0.4, 0.013? (a) 0.356 (b) 0.48 (c) 0.4 (d) 0.013
  8. 8.₹80 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹32 (b) ₹16 (c) ₹40 (d) ₹48
  9. 9.What is 15% of 560? (a) 840 (b) 168 (c) 84 (d) 476
  10. 10.What is the simple interest on ₹3000 at 3% per year for 3 years? (a) ₹90 (b) ₹3270 (c) ₹360 (d) ₹270
  11. 11.What is the average of 83, 75, 68 and 70? (a) 76 (b) 73 (c) 75 (d) 74
  12. 12.If 3x + 6 = 15, what is x? (a) 3 (b) 4 (c) 7 (d) 9
  13. 13.If 5x + 24 = 39, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  14. 14.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 19 cm (c) 31 cm (d) 38 cm
  15. 15.What is the average of all the whole numbers from 27 to 33? (a) 31 (b) 6 (c) 3 (d) 30
  16. 16.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 26% (b) 15% (c) 5% (d) 10%
  17. 17.Which is the smallest: 0.3, 0.212, 0.052, 0.34? (a) 0.3 (b) 0.212 (c) 0.052 (d) 0.34
  18. 18.If 6 July is a Wednesday, what day of the week is 17 July? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  19. 19.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹738 (b) ₹902 (c) ₹810 (d) ₹82
  20. 20.A teacher has 30 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) 30 (d) 10
  21. 21.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 720 (b) 120 (c) 54 (d) 240
  22. 22.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 252 (c) 126 (d) 756
  23. 23.1/4 + 4/5 = ? (a) 21/20 (b) 1 (c) 11/10 (d) 5/9
  24. 24.What is the average of all the whole numbers from 42 to 52? (a) 48 (b) 47 (c) 10 (d) 5
  25. 25.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 8 (c) 240 (d) 4
  26. 26.Which is the greatest: 0.5, 0.483, 0.012, 0.59? (a) 0.5 (b) 0.483 (c) 0.012 (d) 0.59
  27. 27.What is the average of 48, 50, 45, 53 and 14? (a) 43 (b) 41 (c) 44 (d) 42
  28. 28.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 120 (b) 60 (c) 61 (d) 22
  29. 29.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 16 (b) 39 (c) 43 (d) 51
  30. 30.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 4 (b) 64 (c) 34 (d) 65
  31. 31.If 3x + 19 = 28, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  32. 32.What is the average of all the whole numbers from 41 to 79? (a) 38 (b) 19 (c) 61 (d) 60
  33. 33.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 105 min (c) 36 min (d) 315 min
  34. 34.Which is the smallest: 0.197, 0.2, 0.097, 0.22? (a) 0.197 (b) 0.2 (c) 0.097 (d) 0.22
  35. 35.If 2x − 12 = 4, what is x? (a) 16 (b) 9 (c) 7 (d) 8
  36. 36.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 9 : ? (a) 81 (b) 27 (c) 15 (d) 79
  37. 37.Today is Friday. What day of the week will it be after 77 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  38. 38.What is the simple interest on ₹6000 at 12% per year for 2 years? (a) ₹7440 (b) ₹720 (c) ₹2160 (d) ₹1440
  39. 39.Every pair follows the same rule: 7 : 46, 8 : 61, 9 : 78. What is 3 : ? (a) 7 (b) 6 (c) 5 (d) 42
  40. 40.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 11 (b) 10 (c) 27 (d) 13

Answer key

  1. 0.56
  2. 0.34
  3. 1
  4. 68
  5. 8
  6. ₹8640
  7. 0.48
  8. ₹48
  9. 84
  10. ₹270
  11. 74
  12. 3
  13. 3
  14. 38 cm
  15. 30
  16. 10%
  17. 0.052
  18. Sunday
  19. ₹738
  20. 10
  21. 120
  22. 126
  23. 21/20
  24. 47
  25. 8
  26. 0.59
  27. 42
  28. 60
  29. 51
  30. 64
  31. 3
  32. 60
  33. 105 min
  34. 0.097
  35. 8
  36. 81
  37. Friday
  38. ₹1440
  39. 6
  40. 10

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