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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 890 · 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.If 15 August is a Thursday, what day of the week is 12 September? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  2. 2.7 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 36 days (b) 19 days (c) 11 days (d) 35 days
  3. 3.Which is the smallest: 0.057, 0.73, 0.685, 0.7? (a) 0.057 (b) 0.73 (c) 0.685 (d) 0.7
  4. 4.Which fraction is greater: 4/9 or 2/11? (a) 4/9 (b) They are equal (c) 2/11
  5. 5.Today is Friday. What day of the week will it be after 90 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  6. 6.If 5 kites cost ₹40, how much do 9 kites cost? (a) ₹360 (b) ₹72 (c) ₹44 (d) ₹80
  7. 7.If 2 December is a Friday, what day of the week is 10 December? (a) Sunday (b) Friday (c) Monday (d) Saturday
  8. 8.Which is the smallest: 0.56, 0.441, 0.046, 0.5? (a) 0.56 (b) 0.441 (c) 0.046 (d) 0.5
  9. 9.What is the simple interest on ₹9500 at 2% per year for 2 years? (a) ₹9880 (b) ₹380 (c) ₹190 (d) ₹570
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm
  11. 11.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 13% (b) 6% (c) 5% (d) 10%
  12. 12.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 6 (d) 1
  13. 13.What is the average of all the whole numbers from 53 to 93? (a) 20 (b) 73 (c) 40 (d) 74
  14. 14.5.99 + 9.1 = ? (a) 6.9 (b) 14.99 (c) 15.09 (d) 15.19
  15. 15.Every pair follows the same rule: 3 : 12, 4 : 15, 7 : 24. What is 8 : ? (a) 17 (b) 28 (c) 32 (d) 27
  16. 16.What is 1/8 of 88? (a) 22 (b) 77 (c) 12 (d) 11
  17. 17.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  18. 18.Every pair follows the same rule: 2 : 7, 3 : 12, 5 : 28. What is 9 : ? (a) 84 (b) 14 (c) 85 (d) 60
  19. 19.What is 40% of 820? (a) 3280 (b) 656 (c) 328 (d) 492
  20. 20.Which of these numbers is divisible by 6? (a) 3689 (b) 3679 (c) 3678 (d) 3674
  21. 21.What is the average of 69, 74, 68, 59, 59 and 73? (a) 66 (b) 67 (c) 68 (d) 69
  22. 22.Today is Tuesday. What day of the week will it be after 57 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  23. 23.What is 5% of 680? (a) 646 (b) 34 (c) 68 (d) 340
  24. 24.Which of these numbers is divisible by 11? (a) 7738 (b) 7750 (c) 7733 (d) 7725
  25. 25.Which is the greatest: 0.486, 0.072, 0.5, 0.57? (a) 0.486 (b) 0.072 (c) 0.5 (d) 0.57
  26. 26.What is 75% of 120? (a) 900 (b) 180 (c) 30 (d) 90
  27. 27.2/3 + 3/5 = ? (a) 4/3 (b) 19/15 (c) 5/8 (d) 6/5
  28. 28.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  29. 29.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 21 (b) 41 (c) 87 (d) 22
  30. 30.The simple interest on ₹4500 for 2 years is ₹1080. What is the rate per year? (a) 13% (b) 24% (c) 12% (d) 11%
  31. 31.Which fraction is greater: 1/3 or 3/7? (a) 3/7 (b) 1/3 (c) They are equal
  32. 32.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 126 (b) 252 (c) 39 (d) 378
  33. 33.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 6 cm (c) 10 cm (d) 5 cm
  34. 34.What is the value of the digit 1 in 52.176? (a) 0.01 (b) 1 (c) 0.1 (d) 0.001
  35. 35.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 20 (d) 4
  36. 36.What is the remainder when 282 is divided by 10? (a) 2 (b) 3 (c) 8 (d) 1
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  38. 38.If 9x + 7 = 3x + 61, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  39. 39.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 20 cm (c) 6 cm (d) 3 cm
  40. 40.₹351 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹27 (b) ₹270 (c) ₹243 (d) ₹108

Answer key

  1. Thursday
  2. 35 days
  3. 0.057
  4. 4/9
  5. Thursday
  6. ₹72
  7. Saturday
  8. 0.046
  9. ₹380
  10. 196 sq cm
  11. 5%
  12. 2
  13. 73
  14. 15.09
  15. 27
  16. 11
  17. 64 sq cm
  18. 84
  19. 328
  20. 3678
  21. 67
  22. Wednesday
  23. 34
  24. 7733
  25. 0.57
  26. 90
  27. 19/15
  28. 25%
  29. 21
  30. 12%
  31. 3/7
  32. 126
  33. 5 cm
  34. 0.1
  35. 4
  36. 2
  37. 36 sq cm
  38. 9
  39. 3 cm
  40. ₹243

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