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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 213 · 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 1/4 of 48? (a) 13 (b) 24 (c) 36 (d) 12
  2. 2.₹490 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹49 (b) ₹245 (c) ₹343 (d) ₹147
  3. 3.Which is the greatest: 0.675, 0.7, 0.71, 0.038? (a) 0.675 (b) 0.7 (c) 0.71 (d) 0.038
  4. 4.Today is Tuesday. What day of the week will it be after 85 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  5. 5.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  6. 6.What is 1/2 of 12? (a) 7 (b) 5 (c) 12 (d) 6
  7. 7.2.67 + 4.5 = ? (a) 7.17 (b) 3.12 (c) 7.07 (d) 7.27
  8. 8.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 44 (b) 120 (c) 240 (d) 480
  9. 9.Which of these numbers is divisible by 4? (a) 876 (b) 875 (c) 883 (d) 879
  10. 10.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 2 days
  11. 11.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 9 days (d) 6 days
  12. 12.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 26 cm (c) 120 cm (d) 52 cm
  13. 13.Which fraction is greater: 9/10 or 5/9? (a) 5/9 (b) They are equal (c) 9/10
  14. 14.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 25 (c) 7 (d) 8
  15. 15.What is 5/6 of 12? (a) 10 (b) 2 (c) 12 (d) 11
  16. 16.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 4 : ? (a) 8 (b) 16 (c) 21 (d) 6
  17. 17.If 5 kites cost ₹80, how much do 3 kites cost? (a) ₹240 (b) ₹78 (c) ₹64 (d) ₹48
  18. 18.If 6 March is a Saturday, what day of the week is 20 March? (a) Monday (b) Friday (c) Saturday (d) Sunday
  19. 19.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  20. 20.A shopkeeper buys a toy for ₹460 and sells it for ₹276. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  22. 22.2.92 + 9.1 = ? (a) 3.83 (b) 11.92 (c) 12.12 (d) 12.02
  23. 23.Every pair follows the same rule: 4 : 28, 5 : 35, 6 : 42. What is 3 : ? (a) 22 (b) 27 (c) 21 (d) 20
  24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 56 (c) 28 (d) 18
  25. 25.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 50%
  26. 26.₹204 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹85 (b) ₹119 (c) ₹17 (d) ₹102
  27. 27.6.94 + 4.5 = ? (a) 11.54 (b) 11.44 (c) 11.34 (d) 7.39
  28. 28.1.09 + 7.3 = ? (a) 8.29 (b) 1.82 (c) 8.49 (d) 8.39
  29. 29.Which is the greatest: 0.36, 0.237, 0.087, 0.3? (a) 0.36 (b) 0.237 (c) 0.087 (d) 0.3
  30. 30.If 16 November is a Saturday, what day of the week is 1 December? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  31. 31.If 9 May is a Thursday, what day of the week is 23 May? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  32. 32.Two ribbons are 21 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 3 cm (d) 21 cm
  33. 33.Which is the smallest: 0.526, 0.097, 0.6, 0.65? (a) 0.526 (b) 0.097 (c) 0.6 (d) 0.65
  34. 34.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 2 days (d) 4 days
  35. 35.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹408 (b) ₹465 (c) ₹72 (d) ₹552
  36. 36.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 40 min (c) 2 min (d) 80 min
  37. 37.If 3 December is a Monday, what day of the week is 13 December? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  38. 38.What is 10% of 820? (a) 164 (b) 738 (c) 82 (d) 820
  39. 39.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 2 : ? (a) 6 (b) 4 (c) 8 (d) 5
  40. 40.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%

Answer key

  1. 12
  2. ₹343
  3. 0.71
  4. Wednesday
  5. 20%
  6. 6
  7. 7.17
  8. 120
  9. 876
  10. 3 days
  11. 5 days
  12. 52 cm
  13. 9/10
  14. 7
  15. 10
  16. 16
  17. ₹48
  18. Saturday
  19. 40%
  20. 40%
  21. 32 sq cm
  22. 12.02
  23. 21
  24. 28
  25. 5%
  26. ₹119
  27. 11.44
  28. 8.39
  29. 0.36
  30. Sunday
  31. Thursday
  32. 3 cm
  33. 0.097
  34. 3 days
  35. ₹408
  36. 40 min
  37. Thursday
  38. 82
  39. 4
  40. 40%

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