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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 645 · 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 fraction is greater: 1/10 or 4/7? (a) They are equal (b) 4/7 (c) 1/10
  2. 2.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 140 (b) 280 (c) 560 (d) 48
  3. 3.6.59 + 6.1 = ? (a) 12.69 (b) 7.2 (c) 12.59 (d) 12.79
  4. 4.If 2x + 16 = 24, what is x? (a) 20 (b) 4 (c) 8 (d) 5
  5. 5.In how many years will ₹3500 earn ₹280 simple interest at 2% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
  6. 6.4/5 + 1/5 = ? (a) 4/5 (b) 1/2 (c) 1 (d) 6/5
  7. 7.Today is Friday. What day of the week will it be after 47 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  8. 8.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm
  9. 9.If 22 April is a Sunday, what day of the week is 10 May? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  10. 10.If 3x + 27 = 39, what is x? (a) 4 (b) 22 (c) 12 (d) 5
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  12. 12.What is the remainder when 512 is divided by 12? (a) 4 (b) 8 (c) 7 (d) 9
  13. 13.If 7x + 1 = 92, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  14. 14.3 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 13 days (d) 12 days
  15. 15.Every pair follows the same rule: 2 : 13, 5 : 16, 9 : 20. What is 8 : ? (a) 21 (b) 19 (c) 18 (d) 20
  16. 16.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹33 (b) ₹187 (c) ₹253 (d) ₹205
  17. 17.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 27%
  18. 18.Every pair follows the same rule: 3 : 18, 6 : 27, 7 : 30. What is 4 : ? (a) 19 (b) 24 (c) 21 (d) 22
  19. 19.What is 1/2 of 6? (a) 2 (b) 6 (c) 4 (d) 3
  20. 20.If 7 kites cost ₹56, how much do 8 kites cost? (a) ₹57 (b) ₹72 (c) ₹448 (d) ₹64
  21. 21.If 6x + 4 = 28, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  22. 22.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 11%
  23. 23.6.17 + 2.2 = ? (a) 8.47 (b) 8.27 (c) 6.39 (d) 8.37
  24. 24.A teacher has 60 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 60 (c) 360 (d) 6
  25. 25.If 2x + 30 = 42, what is x? (a) 6 (b) 36 (c) 7 (d) 12
  26. 26.Which is the greatest: 0.093, 0.36, 0.3, 0.247? (a) 0.093 (b) 0.36 (c) 0.3 (d) 0.247
  27. 27.2.72 + 5.1 = ? (a) 7.72 (b) 7.92 (c) 3.23 (d) 7.82
  28. 28.What is the value of the digit 1 in 38.149? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01
  29. 29.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 63 (b) 12 (c) 54 (d) 57
  30. 30.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
  31. 31.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 7 : ? (a) 21 (b) 53 (c) 13 (d) 49
  32. 32.What is the units digit of 4^42? (a) 7 (b) 5 (c) 6 (d) 4
  33. 33.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 29 (c) 28 (d) 56
  34. 34.₹9000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹11160 (b) ₹10080 (c) ₹12240 (d) ₹2160
  35. 35.If 5x + 11 = 36, what is x? (a) 6 (b) 25 (c) 4 (d) 5
  36. 36.₹176 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹16 (b) ₹64 (c) ₹112 (d) ₹88
  37. 37.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 54 min (c) 18 min (d) 15 min
  38. 38.₹1500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹1545 (b) ₹135 (c) ₹1635 (d) ₹1680
  39. 39.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 64 (b) 10 (c) 90 (d) 16
  40. 40.What is the value of the digit 1 in 97.581? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01

Answer key

  1. 4/7
  2. 140
  3. 12.69
  4. 4
  5. 4 years
  6. 1
  7. Wednesday
  8. 153 sq cm
  9. Thursday
  10. 4
  11. 64 sq cm
  12. 8
  13. 13
  14. 12 days
  15. 19
  16. ₹187
  17. 15%
  18. 21
  19. 3
  20. ₹64
  21. 4
  22. 10%
  23. 8.37
  24. 12
  25. 6
  26. 0.36
  27. 7.82
  28. 0.1
  29. 63
  30. 45 sq cm
  31. 49
  32. 6
  33. 28
  34. ₹11160
  35. 5
  36. ₹112
  37. 18 min
  38. ₹1635
  39. 64
  40. 0.001

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