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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 752 · 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) 1252 (b) 1255 (c) 1250 (d) 1259
  2. 2.Every pair follows the same rule: 2 : 10, 6 : 30, 7 : 35. What is 4 : ? (a) 19 (b) 20 (c) 21 (d) 12
  3. 3.What is the average of 18, 37, 19 and 26? (a) 24 (b) 27 (c) 25 (d) 26
  4. 4.2.68 + 3.2 = ? (a) 3 (b) 5.98 (c) 5.88 (d) 5.78
  5. 5.If 7 kites cost ₹147, how much do 2 kites cost? (a) ₹42 (b) ₹142 (c) ₹63 (d) ₹294
  6. 6.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 19 sq cm (c) 38 sq cm (d) 75 sq cm
  7. 7.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 24 sq cm (c) 126 sq cm (d) 48 sq cm
  8. 8.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 60 (b) 70 (c) 64 (d) 118
  9. 9.If 4 pens cost ₹44, how much do 5 pens cost? (a) ₹220 (b) ₹45 (c) ₹55 (d) ₹66
  10. 10.What is the value of the digit 8 in 49.382? (a) 0.008 (b) 0.08 (c) 0.8 (d) 8
  11. 11.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 6% (b) 5% (c) 4% (d) 10%
  12. 12.If 8x + 11 = 5x + 38, what is x? (a) 9 (b) 8 (c) 10 (d) 11
  13. 13.A shopkeeper buys a toy for ₹440 and sells it for ₹572. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  14. 14.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 4 (b) 3 (c) 41 (d) 18
  15. 15.Every pair follows the same rule: 2 : 17, 7 : 22, 9 : 24. What is 3 : ? (a) 17 (b) 18 (c) 20 (d) 19
  16. 16.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 11 (b) 12 (c) 29 (d) 14
  17. 17.1/4 + 5/6 = ? (a) 1 (b) 7/6 (c) 3/5 (d) 13/12
  18. 18.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 32 cm (d) 24 cm
  19. 19.If 9x + 27 = 162, what is x? (a) 21 (b) 135 (c) 16 (d) 15
  20. 20.What is the value of the digit 4 in 85.241? (a) 0.4 (b) 0.04 (c) 4 (d) 0.004
  21. 21.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 45% (b) 30% (c) 20% (d) 25%
  22. 22.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 46 sq cm (c) 90 sq cm (d) 23 sq cm
  23. 23.If x/6 + 8 = 19, what is x? (a) 11 (b) 66 (c) 162 (d) 106
  24. 24.Every pair follows the same rule: 6 : 19, 7 : 22, 8 : 25. What is 9 : ? (a) 29 (b) 28 (c) 27 (d) 22
  25. 25.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 56 sq cm (c) 187 sq cm (d) 28 sq cm
  26. 26.What is the remainder when 323 is divided by 9? (a) 6 (b) 8 (c) 1 (d) 7
  27. 27.₹287 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹205 (b) ₹246 (c) ₹82 (d) ₹41
  28. 28.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 6 min (c) 126 min (d) 756 min
  29. 29.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 165 cm (d) 41 cm
  30. 30.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  31. 31.1/2 + 5/6 = ? (a) 4/3 (b) 3/4 (c) 7/6 (d) 3/2
  32. 32.What is the value of the digit 9 in 91.826? (a) 90 (b) 0.9 (c) 9 (d) 0.09
  33. 33.What is the average of all the whole numbers from 60 to 68? (a) 65 (b) 4 (c) 64 (d) 8
  34. 34.If 4x − 6 = 30, what is x? (a) 36 (b) 6 (c) 9 (d) 10
  35. 35.What is the average of all the whole numbers from 26 to 66? (a) 47 (b) 46 (c) 20 (d) 40
  36. 36.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 8 : ? (a) 52 (b) 24 (c) 64 (d) 14
  37. 37.If 4x + 9 = 53, what is x? (a) 10 (b) 11 (c) 12 (d) 44
  38. 38.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 96 (c) 20 (d) 48
  39. 39.Which is the smallest: 0.761, 0.8, 0.88, 0.013? (a) 0.761 (b) 0.8 (c) 0.88 (d) 0.013
  40. 40.If 3x − 8 = 4, what is x? (a) 3 (b) 12 (c) 4 (d) 5

Answer key

  1. 1252
  2. 20
  3. 25
  4. 5.88
  5. ₹42
  6. 60 sq cm
  7. 108 sq cm
  8. 118
  9. ₹55
  10. 0.08
  11. 5%
  12. 9
  13. 30%
  14. 3
  15. 18
  16. 11
  17. 13/12
  18. 8 cm
  19. 15
  20. 0.04
  21. 25%
  22. 90 sq cm
  23. 66
  24. 28
  25. 187 sq cm
  26. 8
  27. ₹205
  28. 126 min
  29. 52 cm
  30. 20%
  31. 4/3
  32. 90
  33. 64
  34. 9
  35. 46
  36. 64
  37. 11
  38. 24
  39. 0.013
  40. 4

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