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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 947 · 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.The simple interest on ₹4000 for 4 years is ₹1760. What is the rate per year? (a) 10% (b) 12% (c) 44% (d) 11%
  2. 2.A teacher has 18 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 45 (c) 3 (d) 18
  3. 3.What is the smallest number you must add to 558 to make it divisible by 8? (a) 3 (b) 1 (c) 2 (d) 6
  4. 4.₹2500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹300 (b) ₹2800 (c) ₹2900 (d) ₹2600
  5. 5.A teacher has 25 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 150 (b) 1 (c) 5 (d) 25
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  7. 7.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 320 (b) 36 (c) 80 (d) 160
  8. 8.If 15 January is a Sunday, what day of the week is 14 February? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  9. 9.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹280 (b) ₹360 (c) ₹200 (d) ₹40
  10. 10.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 102 sq cm (b) 46 sq cm (c) 23 sq cm (d) 119 sq cm
  11. 11.₹10000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹10200 (b) ₹600 (c) ₹10800 (d) ₹10600
  12. 12.Which is the greatest: 0.655, 0.085, 0.7, 0.73? (a) 0.655 (b) 0.085 (c) 0.7 (d) 0.73
  13. 13.Today is Monday. What day of the week will it be after 67 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  14. 14.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 61 (c) 76 (d) 20
  15. 15.If 8x + 1 = 5x + 4, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  16. 16.If 3x + 21 = 48, what is x? (a) 10 (b) 9 (c) 27 (d) 23
  17. 17.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 22 days (c) 11 days (d) 21 days
  18. 18.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 16 (b) 36 (c) 24 (d) 44
  19. 19.What is 1/2 of 4? (a) 3 (b) 2 (c) 4 (d) 1
  20. 20.Which is the smallest: 0.4, 0.49, 0.043, 0.332? (a) 0.4 (b) 0.49 (c) 0.043 (d) 0.332
  21. 21.Which of these numbers is divisible by 11? (a) 6748 (b) 6743 (c) 6764 (d) 6736
  22. 22.What is the average of all the whole numbers from 59 to 71? (a) 66 (b) 12 (c) 65 (d) 6
  23. 23.What is the remainder when 363 is divided by 5? (a) 1 (b) 2 (c) 3 (d) 4
  24. 24.1/3 + 2/8 = ? (a) 5/8 (b) 7/12 (c) 13/24 (d) 3/11
  25. 25.Which fraction is greater: 10/11 or 7/8? (a) 10/11 (b) 7/8 (c) They are equal
  26. 26.If 4x + 10 = 22, what is x? (a) 4 (b) 8 (c) 12 (d) 3
  27. 27.What is the simple interest on ₹6000 at 2% per year for 3 years? (a) ₹360 (b) ₹480 (c) ₹120 (d) ₹6360
  28. 28.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 4 (c) 38 (d) 35
  29. 29.Which is the greatest: 0.55, 0.419, 0.5, 0.077? (a) 0.55 (b) 0.419 (c) 0.5 (d) 0.077
  30. 30.1/2 + 1/5 = ? (a) 3/5 (b) 4/5 (c) 2/7 (d) 7/10
  31. 31.If 6x − 1 = 11, what is x? (a) 12 (b) 2 (c) 1 (d) 3
  32. 32.Every pair follows the same rule: 4 : 13, 7 : 28, 9 : 38. What is 2 : ? (a) 4 (b) 11 (c) 2 (d) 3
  33. 33.If 5 kites cost ₹20, how much do 6 kites cost? (a) ₹28 (b) ₹120 (c) ₹24 (d) ₹21
  34. 34.Which fraction is greater: 1/3 or 9/10? (a) They are equal (b) 1/3 (c) 9/10
  35. 35.If 5 August is a Thursday, what day of the week is 15 August? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
  36. 36.If 7x + 16 = x + 34, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  37. 37.₹198 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹36 (b) ₹99 (c) ₹162 (d) ₹18
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  39. 39.The simple interest on ₹7000 for 5 years is ₹3850. What is the rate per year? (a) 55% (b) 12% (c) 10% (d) 11%
  40. 40.If 5x + 2 = 4x + 7, what is x? (a) 6 (b) 7 (c) 9 (d) 5

Answer key

  1. 11%
  2. 9
  3. 2
  4. ₹2800
  5. 5
  6. 36 sq cm
  7. 80
  8. Tuesday
  9. ₹360
  10. 102 sq cm
  11. ₹10600
  12. 0.73
  13. Friday
  14. 76
  15. 1
  16. 9
  17. 21 days
  18. 36
  19. 2
  20. 0.043
  21. 6743
  22. 65
  23. 3
  24. 7/12
  25. 10/11
  26. 3
  27. ₹360
  28. 38
  29. 0.55
  30. 7/10
  31. 2
  32. 3
  33. ₹24
  34. 9/10
  35. Sunday
  36. 3
  37. ₹162
  38. 81 sq cm
  39. 11%
  40. 5

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