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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 681 · 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 average of 7 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 28 (b) 26 (c) 39 (d) 15
  2. 2.Every pair follows the same rule: 3 : 4, 4 : 7, 8 : 19. What is 6 : ? (a) 12 (b) 14 (c) 13 (d) 7
  3. 3.Every pair follows the same rule: 7 : 56, 8 : 71, 9 : 88. What is 2 : ? (a) 12 (b) 51 (c) 16 (d) 11
  4. 4.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 2 : ? (a) 5 (b) 4 (c) 8 (d) 6
  5. 5.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 27 cm (d) 162 cm
  6. 6.What is 1/2 of 12? (a) 12 (b) 7 (c) 5 (d) 6
  7. 7.Which fraction is greater: 7/8 or 3/4? (a) 3/4 (b) 7/8 (c) They are equal
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  9. 9.What is the remainder when 381 is divided by 8? (a) 6 (b) 4 (c) 5 (d) 3
  10. 10.In how many years will ₹2500 earn ₹600 simple interest at 12% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  11. 11.If 2 mangoes cost ₹6, how much do 12 mangoes cost? (a) ₹72 (b) ₹36 (c) ₹16 (d) ₹39
  12. 12.What is 10% of 280? (a) 28 (b) 252 (c) 280 (d) 56
  13. 13.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 13 days (c) 7 days (d) 25 days
  14. 14.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  15. 15.Today is Tuesday. What day of the week will it be after 49 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  16. 16.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 252 (c) 378 (d) 126
  17. 17.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 15 days (b) 6 days (c) 7 days (d) 8 days
  18. 18.What is the remainder when 142 is divided by 3? (a) 2 (b) 0 (c) 1
  19. 19.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 18 (c) 3 (d) 6
  20. 20.If 3x + 28 = 46, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  21. 21.₹3000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹3120 (b) ₹3180 (c) ₹120 (d) ₹3060
  22. 22.Every pair follows the same rule: 2 : 6, 4 : 18, 8 : 66. What is 3 : ? (a) 6 (b) 9 (c) 7 (d) 11
  23. 23.What is 1/2 of 20? (a) 20 (b) 10 (c) 11 (d) 9
  24. 24.If 9 December is a Saturday, what day of the week is 18 December? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  25. 25.If 2x + 2 = 32, what is x? (a) 30 (b) 17 (c) 15 (d) 16
  26. 26.What is 1/2 of 4? (a) 1 (b) 2 (c) 3 (d) 4
  27. 27.1/3 + 4/8 = ? (a) 5/11 (b) 19/24 (c) 5/6 (d) 7/8
  28. 28.What is the average of 54, 69, 43, 61 and 63? (a) 59 (b) 57 (c) 60 (d) 58
  29. 29.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 40 (b) 20 (c) 14 (d) 21
  30. 30.Two ribbons are 12 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 2 cm (c) 4 cm (d) 12 cm
  31. 31.Two ribbons are 20 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 20 cm (c) 2 cm (d) 120 cm
  32. 32.Which is the smallest: 0.058, 0.3, 0.31, 0.213? (a) 0.058 (b) 0.3 (c) 0.31 (d) 0.213
  33. 33.If 13 January is a Tuesday, what day of the week is 26 January? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  34. 34.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 7 (c) 12 (d) 14
  35. 35.Every pair follows the same rule: 4 : 17, 5 : 18, 8 : 21. What is 3 : ? (a) 18 (b) 15 (c) 17 (d) 16
  36. 36.What is 3/4 of 36? (a) 28 (b) 9 (c) 36 (d) 27
  37. 37.If 8x + 6 = 30, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  38. 38.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 15 (b) 26 (c) 27 (d) 28
  39. 39.In how many years will ₹3500 earn ₹1155 simple interest at 11% per year? (a) 3 years (b) 2 years (c) 4 years (d) 6 years
  40. 40.₹130 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹39 (b) ₹65 (c) ₹13 (d) ₹91

Answer key

  1. 39
  2. 13
  3. 11
  4. 4
  5. 54 cm
  6. 6
  7. 7/8
  8. 169 sq cm
  9. 5
  10. 2 years
  11. ₹36
  12. 28
  13. 25 days
  14. 20%
  15. Tuesday
  16. 126
  17. 7 days
  18. 1
  19. 3
  20. 6
  21. ₹3120
  22. 11
  23. 10
  24. Monday
  25. 15
  26. 2
  27. 5/6
  28. 58
  29. 20
  30. 4 cm
  31. 4 cm
  32. 0.058
  33. Monday
  34. 13
  35. 16
  36. 27
  37. 3
  38. 27
  39. 3 years
  40. ₹91

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