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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 496 · 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. 1.1.53 + 8.1 = ? (a) 2.34 (b) 9.63 (c) 9.53 (d) 9.73
  2. 2.If x/5 + 2 = 9, what is x? (a) 43 (b) 35 (c) 7 (d) 55
  3. 3.What is 60% of 100? (a) 40 (b) 600 (c) 120 (d) 60
  4. 4.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) 40 min (b) 18 min (c) 2 min (d) 80 min
  5. 5.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 108 (b) 72 (c) 21 (d) 36
  6. 6.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 16 days (d) 14 days
  7. 7.A bag marked ₹1600 is sold at a 10% discount. What is its selling price? (a) ₹1440 (b) ₹160 (c) ₹1760 (d) ₹1590
  8. 8.2.88 + 7.4 = ? (a) 10.38 (b) 10.28 (c) 10.18 (d) 3.62
  9. 9.What is 40% of 460? (a) 184 (b) 368 (c) 276 (d) 1840
  10. 10.The simple interest on ₹6500 for 4 years is ₹2600. What is the rate per year? (a) 11% (b) 40% (c) 10% (d) 9%
  11. 11.What is 1/7 of 56? (a) 9 (b) 16 (c) 8 (d) 48
  12. 12.Which is the greatest: 0.4, 0.368, 0.062, 0.47? (a) 0.4 (b) 0.368 (c) 0.062 (d) 0.47
  13. 13.What is the value of the digit 6 in 35.461? (a) 0.6 (b) 0.06 (c) 0.006 (d) 6
  14. 14.8 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 14 days (c) 10 days (d) 16 days
  15. 15.What is the value of the digit 6 in 39.641? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006
  16. 16.In how many years will ₹4000 earn ₹480 simple interest at 6% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  17. 17.Every pair follows the same rule: 3 : 27, 5 : 45, 6 : 54. What is 7 : ? (a) 63 (b) 31 (c) 64 (d) 62
  18. 18.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 32 (c) 40 (d) 67
  19. 19.Which fraction is greater: 7/8 or 3/5? (a) 7/8 (b) 3/5 (c) They are equal
  20. 20.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 16 sq cm (d) 32 sq cm
  21. 21.What is the average of 13, 13, 39 and 39? (a) 25 (b) 27 (c) 28 (d) 26
  22. 22.A bag marked ₹340 is sold at a 40% discount. What is its selling price? (a) ₹300 (b) ₹136 (c) ₹476 (d) ₹204
  23. 23.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 65 sq cm (c) 34 sq cm (d) 52 sq cm
  24. 24.Every pair follows the same rule: 2 : 5, 4 : 11, 5 : 14. What is 3 : ? (a) 6 (b) 7 (c) 9 (d) 8
  25. 25.Which fraction is greater: 5/12 or 7/9? (a) 5/12 (b) They are equal (c) 7/9
  26. 26.₹215 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹173 (b) ₹43 (c) ₹215 (d) ₹172
  27. 27.3.54 + 6.3 = ? (a) 9.94 (b) 9.84 (c) 4.17 (d) 9.74
  28. 28.If 3 kites cost ₹63, how much do 4 kites cost? (a) ₹105 (b) ₹64 (c) ₹252 (d) ₹84
  29. 29.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 6 days (d) 5 days
  30. 30.If 8 pens cost ₹72, how much do 5 pens cost? (a) ₹45 (b) ₹360 (c) ₹69 (d) ₹54
  31. 31.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 33 cm (c) 18 cm (d) 45 cm
  32. 32.2.09 + 5.8 = ? (a) 7.89 (b) 7.79 (c) 7.99 (d) 2.67
  33. 33.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 16 min (d) 30 min
  34. 34.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 11 cm (d) 2 cm
  35. 35.8 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 17 days (d) 1 day
  36. 36.What is 1/4 of 28? (a) 21 (b) 7 (c) 14 (d) 8
  37. 37.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 168 (b) 40 (c) 84 (d) 336
  38. 38.Which fraction is greater: 1/11 or 5/7? (a) They are equal (b) 5/7 (c) 1/11
  39. 39.What is the simple interest on ₹3000 at 2% per year for 5 years? (a) ₹60 (b) ₹300 (c) ₹3300 (d) ₹360
  40. 40.What is the remainder when 269 is divided by 9? (a) 8 (b) 6 (c) 7 (d) 1

Answer key

  1. 9.63
  2. 35
  3. 60
  4. 40 min
  5. 36
  6. 15 days
  7. ₹1440
  8. 10.28
  9. 184
  10. 10%
  11. 8
  12. 0.47
  13. 0.06
  14. 16 days
  15. 0.6
  16. 2 years
  17. 63
  18. 67
  19. 7/8
  20. 60 sq cm
  21. 26
  22. ₹204
  23. 52 sq cm
  24. 8
  25. 7/9
  26. ₹172
  27. 9.84
  28. ₹84
  29. 5 days
  30. ₹45
  31. 36 cm
  32. 7.89
  33. 30 min
  34. 2 cm
  35. 16 days
  36. 7
  37. 84
  38. 5/7
  39. ₹300
  40. 8

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