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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 879 · 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 the average of all the whole numbers from 40 to 80? (a) 20 (b) 60 (c) 61 (d) 40
  2. 2.5 workers can build a wall in 14 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 19 days (c) 28 days (d) 7 days
  3. 3.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 17 (b) 16 (c) 34 (d) 71
  4. 4.What is 5% of 240? (a) 120 (b) 24 (c) 228 (d) 12
  5. 5.1.22 + 6.7 = ? (a) 1.89 (b) 7.82 (c) 7.92 (d) 8.02
  6. 6.What is the value of the digit 6 in 34.265? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
  7. 7.If 5x + 2 = 17, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  8. 8.A shopkeeper buys a toy for ₹480 and sells it for ₹288. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  9. 9.If 14 January is a Tuesday, what day of the week is 29 January? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  10. 10.If 3x + 13 = 40, what is x? (a) 27 (b) 9 (c) 8 (d) 10
  11. 11.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 38 cm (c) 156 cm (d) 50 cm
  12. 12.If 8 January is a Sunday, what day of the week is 17 January? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  14. 14.5.81 + 5.1 = ? (a) 10.91 (b) 6.32 (c) 11.01 (d) 10.81
  15. 15.Which of these numbers is divisible by 3? (a) 761 (b) 757 (c) 756 (d) 754
  16. 16.Which of these numbers is divisible by 11? (a) 3207 (b) 3219 (c) 3194 (d) 3201
  17. 17.What is the value of the digit 5 in 49.685? (a) 0.5 (b) 0.05 (c) 5 (d) 0.005
  18. 18.If 5 kites cost ₹35, how much do 6 kites cost? (a) ₹36 (b) ₹49 (c) ₹42 (d) ₹210
  19. 19.Today is Friday. What day of the week will it be after 71 days? (a) Saturday (b) Sunday (c) Monday (d) Friday
  20. 20.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 4 days (d) 9 days
  21. 21.Every pair follows the same rule: 4 : 13, 7 : 28, 8 : 33. What is 6 : ? (a) 15 (b) 24 (c) 23 (d) 22
  22. 22.If 2x + 2 = 6, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 112 (c) 57 (d) 56
  24. 24.The simple interest on ₹2000 for 5 years is ₹200. What is the rate per year? (a) 1% (b) 3% (c) 10% (d) 2%
  25. 25.What is the average of 42, 35, 42, 27, 19 and 9? (a) 29 (b) 31 (c) 30 (d) 28
  26. 26.Which of these numbers is divisible by 3? (a) 1360 (b) 1356 (c) 1358 (d) 1354
  27. 27.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 16 days (b) 17 days (c) 12 days (d) 4 days
  28. 28.If 2x − 10 = 10, what is x? (a) 20 (b) 11 (c) 10 (d) 9
  29. 29.Which fraction is greater: 1/11 or 1/3? (a) 1/11 (b) They are equal (c) 1/3
  30. 30.5 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 13 days
  31. 31.If x/4 + 2 = 14, what is x? (a) 12 (b) 54 (c) 48 (d) 64
  32. 32.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 144 sq cm (d) 132 sq cm
  33. 33.Which of these numbers is divisible by 3? (a) 1414 (b) 1418 (c) 1416 (d) 1421
  34. 34.1/2 + 2/9 = ? (a) 13/18 (b) 2/3 (c) 7/9 (d) 3/11
  35. 35.₹4500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹1575 (b) ₹6075 (c) ₹6390 (d) ₹4815
  36. 36.If 6x + 14 = x + 49, what is x? (a) 5 (b) 7 (c) 8 (d) 9
  37. 37.6.63 + 6.1 = ? (a) 12.63 (b) 12.83 (c) 12.73 (d) 7.24
  38. 38.Which is the greatest: 0.82, 0.043, 0.721, 0.8? (a) 0.82 (b) 0.043 (c) 0.721 (d) 0.8
  39. 39.₹7500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹8400 (b) ₹7800 (c) ₹900 (d) ₹8700
  40. 40.What is 60% of 760? (a) 4560 (b) 912 (c) 304 (d) 456

Answer key

  1. 60
  2. 7 days
  3. 16
  4. 12
  5. 7.92
  6. 0.06
  7. 3
  8. 40%
  9. Wednesday
  10. 9
  11. 50 cm
  12. Tuesday
  13. 100 sq cm
  14. 10.91
  15. 756
  16. 3201
  17. 0.005
  18. ₹42
  19. Saturday
  20. 8 days
  21. 23
  22. 2
  23. 56
  24. 2%
  25. 29
  26. 1356
  27. 16 days
  28. 10
  29. 1/3
  30. 5 days
  31. 48
  32. 132 sq cm
  33. 1416
  34. 13/18
  35. ₹6075
  36. 7
  37. 12.73
  38. 0.82
  39. ₹8400
  40. 456

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