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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 4 · 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.Which of these numbers is divisible by 8? (a) 5868 (b) 5874 (c) 5872 (d) 5884
  2. 2.1/2 + 1/2 = ? (a) 3/2 (b) 1 (c) 1/2 (d) 2
  3. 3.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 217 (b) 216 (c) 120 (d) 6
  4. 4.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 120 min (c) 480 min (d) 44 min
  5. 5.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 54 (b) 504 (c) 168 (d) 84
  6. 6.Which is the smallest: 0.382, 0.43, 0.025, 0.4? (a) 0.382 (b) 0.43 (c) 0.025 (d) 0.4
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  8. 8.Which is the greatest: 0.033, 0.125, 0.21, 0.2? (a) 0.033 (b) 0.125 (c) 0.21 (d) 0.2
  9. 9.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 55 (c) 24 (d) 25
  10. 10.What is the average of 42, 30, 33 and 7? (a) 28 (b) 30 (c) 27 (d) 29
  11. 11.The simple interest on ₹1000 for 3 years is ₹330. What is the rate per year? (a) 12% (b) 11% (c) 33% (d) 10%
  12. 12.7.82 + 3.1 = ? (a) 10.82 (b) 10.92 (c) 11.02 (d) 8.13
  13. 13.A teacher has 9 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 1 (c) 9 (d) 3
  14. 14.Which of these numbers is divisible by 6? (a) 477 (b) 491 (c) 483 (d) 480
  15. 15.If 4 December is a Monday, what day of the week is 17 December? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  16. 16.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 13 cm (d) 26 cm
  17. 17.What is the smallest number you must add to 43 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  18. 18.1/2 + 3/8 = ? (a) 3/4 (b) 7/8 (c) 2/5 (d) 1
  19. 19.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
  20. 20.What is the simple interest on ₹9000 at 8% per year for 4 years? (a) ₹3600 (b) ₹2880 (c) ₹11880 (d) ₹720
  21. 21.What is the value of the digit 8 in 64.835? (a) 0.8 (b) 0.008 (c) 8 (d) 0.08
  22. 22.A teacher has 60 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 6 (c) 48 (d) 12
  23. 23.Which fraction is greater: 2/7 or 5/12? (a) 5/12 (b) They are equal (c) 2/7
  24. 24.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 4 (c) 2 (d) 8
  25. 25.What is the remainder when 153 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
  26. 26.In how many years will ₹3500 earn ₹700 simple interest at 10% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  27. 27.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 112 sq cm (d) 22 sq cm
  28. 28.The simple interest on ₹7500 for 4 years is ₹1800. What is the rate per year? (a) 7% (b) 5% (c) 6% (d) 24%
  29. 29.If 3x − 20 = 4, what is x? (a) 8 (b) 24 (c) 7 (d) 9
  30. 30.What is the smallest number you must add to 639 to make it divisible by 12? (a) 9 (b) 3 (c) 8 (d) 10
  31. 31.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 189 (c) 63 (d) 30
  32. 32.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 59 (b) 52 (c) 73 (d) 28
  33. 33.If 2x − 4 = 14, what is x? (a) 18 (b) 5 (c) 10 (d) 9
  34. 34.What is the simple interest on ₹8000 at 4% per year for 2 years? (a) ₹320 (b) ₹640 (c) ₹8640 (d) ₹960
  35. 35.Which fraction is greater: 3/11 or 3/10? (a) They are equal (b) 3/11 (c) 3/10
  36. 36.If 7 January is a Saturday, what day of the week is 16 January? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  37. 37.What is the units digit of 2^11? (a) 8 (b) 6 (c) 4 (d) 2
  38. 38.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 16 (b) 60 (c) 17 (d) 28
  39. 39.Every pair follows the same rule: 6 : 12, 7 : 13, 8 : 14. What is 9 : ? (a) 15 (b) 14 (c) 18 (d) 16
  40. 40.Which fraction is greater: 5/9 or 1/4? (a) They are equal (b) 1/4 (c) 5/9

Answer key

  1. 5872
  2. 1
  3. 216
  4. 120 min
  5. 84
  6. 0.025
  7. 225 sq cm
  8. 0.21
  9. 24
  10. 28
  11. 11%
  12. 10.92
  13. 3
  14. 480
  15. Sunday
  16. 26 cm
  17. 1
  18. 7/8
  19. 20%
  20. ₹2880
  21. 0.8
  22. 12
  23. 5/12
  24. 4
  25. 3
  26. 2 years
  27. 112 sq cm
  28. 6%
  29. 8
  30. 9
  31. 63
  32. 73
  33. 9
  34. ₹640
  35. 3/10
  36. Monday
  37. 8
  38. 16
  39. 15
  40. 5/9

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