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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 564 · 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 50% of 840? (a) 4200 (b) 421 (c) 840 (d) 420
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  3. 3.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 36 (b) 216 (c) 72 (d) 30
  4. 4.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 448 min (c) 112 min (d) 4 min
  5. 5.Two ribbons are 60 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 60 cm (c) 360 cm (d) 6 cm
  6. 6.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 27 (c) 52 (d) 51
  7. 7.The simple interest on ₹3000 for 3 years is ₹270. What is the rate per year? (a) 9% (b) 2% (c) 4% (d) 3%
  8. 8.Every pair follows the same rule: 5 : 11, 6 : 13, 7 : 15. What is 2 : ? (a) 8 (b) 4 (c) 5 (d) 6
  9. 9.What is the remainder when 804 is divided by 11? (a) 2 (b) 10 (c) 1 (d) 0
  10. 10.Which fraction is greater: 1/6 or 1/12? (a) 1/6 (b) 1/12 (c) They are equal
  11. 11.If 14 May is a Tuesday, what day of the week is 28 May? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  12. 12.Which is the smallest: 0.6, 0.551, 0.051, 0.66? (a) 0.6 (b) 0.551 (c) 0.051 (d) 0.66
  13. 13.If x/2 + 9 = 13, what is x? (a) 8 (b) 17 (c) 4 (d) 44
  14. 14.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 160 sq cm (c) 28 sq cm (d) 180 sq cm
  15. 15.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 375 (b) 40 (c) 75 (d) 150
  16. 16.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 15 sq cm (d) 48 sq cm
  17. 17.3.95 + 6.7 = ? (a) 4.62 (b) 10.65 (c) 10.55 (d) 10.75
  18. 18.In how many years will ₹1500 earn ₹360 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
  19. 19.If 2x − 4 = 14, what is x? (a) 5 (b) 9 (c) 18 (d) 10
  20. 20.What is the average of all the whole numbers from 29 to 57? (a) 44 (b) 28 (c) 43 (d) 14
  21. 21.If 2x − 6 = 14, what is x? (a) 20 (b) 10 (c) 4 (d) 11
  22. 22.1/5 + 2/4 = ? (a) 7/10 (b) 13/20 (c) 1/3 (d) 3/4
  23. 23.What is the smallest number you must add to 458 to make it divisible by 6? (a) 3 (b) 5 (c) 4 (d) 2
  24. 24.Which of these numbers is divisible by 8? (a) 1766 (b) 1779 (c) 1768 (d) 1773
  25. 25.If 28 September is a Monday, what day of the week is 11 October? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
  26. 26.Today is Monday. What day of the week will it be after 66 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  27. 27.Which fraction is greater: 7/8 or 2/3? (a) 2/3 (b) They are equal (c) 7/8
  28. 28.What is the remainder when 153 is divided by 4? (a) 1 (b) 3 (c) 2 (d) 0
  29. 29.If 13 January is a Saturday, what day of the week is 24 January? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  30. 30.The simple interest on ₹3500 for 4 years is ₹840. What is the rate per year? (a) 6% (b) 24% (c) 5% (d) 7%
  31. 31.What is the units digit of 3^57? (a) 9 (b) 7 (c) 1 (d) 3
  32. 32.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 84 cm (d) 19 cm
  33. 33.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 24 cm (d) 30 cm
  34. 34.Which of these numbers is divisible by 9? (a) 6294 (b) 6300 (c) 6303 (d) 6312
  35. 35.What is the smallest number you must add to 551 to make it divisible by 10? (a) 7 (b) 8 (c) 1 (d) 9
  36. 36.Every pair follows the same rule: 2 : 1, 3 : 3, 4 : 5. What is 6 : ? (a) 10 (b) 11 (c) 8 (d) 9
  37. 37.Which is the smallest: 0.2, 0.066, 0.187, 0.26? (a) 0.2 (b) 0.066 (c) 0.187 (d) 0.26
  38. 38.What is the value of the digit 2 in 26.193? (a) 0.2 (b) 0.02 (c) 2 (d) 20
  39. 39.8.48 + 6.8 = ? (a) 9.16 (b) 15.38 (c) 15.28 (d) 15.18
  40. 40.If 7 March is a Saturday, what day of the week is 21 March? (a) Sunday (b) Friday (c) Saturday (d) Monday

Answer key

  1. 420
  2. 196 sq cm
  3. 36
  4. 112 min
  5. 12 cm
  6. 51
  7. 3%
  8. 5
  9. 1
  10. 1/6
  11. Tuesday
  12. 0.051
  13. 8
  14. 160 sq cm
  15. 75
  16. 36 sq cm
  17. 10.65
  18. 2 years
  19. 9
  20. 43
  21. 10
  22. 7/10
  23. 4
  24. 1768
  25. Sunday
  26. Thursday
  27. 7/8
  28. 1
  29. Wednesday
  30. 6%
  31. 3
  32. 38 cm
  33. 30 cm
  34. 6300
  35. 9
  36. 9
  37. 0.066
  38. 20
  39. 15.28
  40. Saturday

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