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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 791 · 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 ₹3000 for 3 years is ₹990. What is the rate per year? (a) 11% (b) 10% (c) 12% (d) 33%
  2. 2.What is 2/7 of 56? (a) 8 (b) 16 (c) 24 (d) 40
  3. 3.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 77 sq cm (b) 18 sq cm (c) 36 sq cm (d) 88 sq cm
  4. 4.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 100 (b) 200 (c) 500 (d) 45
  5. 5.1/2 + 3/5 = ? (a) 1 (b) 6/5 (c) 11/10 (d) 4/7
  6. 6.Every pair follows the same rule: 2 : 12, 3 : 18, 7 : 42. What is 4 : ? (a) 23 (b) 25 (c) 14 (d) 24
  7. 7.Every pair follows the same rule: 2 : 3, 3 : 8, 5 : 24. What is 6 : ? (a) 32 (b) 36 (c) 7 (d) 35
  8. 8.Which of these numbers is divisible by 9? (a) 2159 (b) 2165 (c) 2160 (d) 2171
  9. 9.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  10. 10.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 51 (b) 25 (c) 48 (d) 28
  11. 11.If 31 July is a Sunday, what day of the week is 4 August? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  12. 12.In how many years will ₹3000 earn ₹810 simple interest at 9% per year? (a) 2 years (b) 6 years (c) 4 years (d) 3 years
  13. 13.What is 1/3 of 6? (a) 3 (b) 1 (c) 2 (d) 4
  14. 14.In how many years will ₹7000 earn ₹1050 simple interest at 3% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  15. 15.If 2x − 25 = 1, what is x? (a) 14 (b) 26 (c) 12 (d) 13
  16. 16.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 42 cm (c) 21 cm (d) 33 cm
  17. 17.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 170 cm (c) 12 cm (d) 11 cm
  18. 18.A bag marked ₹560 is sold at a 10% discount. What is its selling price? (a) ₹56 (b) ₹616 (c) ₹550 (d) ₹504
  19. 19.Which of these numbers is divisible by 8? (a) 6137 (b) 6134 (c) 6128 (d) 6123
  20. 20.9 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 10 days (d) 12 days
  21. 21.Which of these numbers is divisible by 4? (a) 1409 (b) 1412 (c) 1418 (d) 1415
  22. 22.What is 1/2 of 10? (a) 5 (b) 10 (c) 4 (d) 6
  23. 23.Two ribbons are 18 cm and 30 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) 18 cm (c) 6 cm (d) 3 cm
  24. 24.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 8 : ? (a) 14 (b) 64 (c) 24 (d) 66
  25. 25.What is the average of 24, 26, 45, 25, 18 and 54? (a) 31 (b) 34 (c) 33 (d) 32
  26. 26.Which fraction is greater: 7/8 or 1/3? (a) 7/8 (b) They are equal (c) 1/3
  27. 27.If 2x + 30 = 52, what is x? (a) 12 (b) 22 (c) 11 (d) 41
  28. 28.The simple interest on ₹1500 for 4 years is ₹600. What is the rate per year? (a) 9% (b) 10% (c) 40% (d) 11%
  29. 29.Which fraction is greater: 4/5 or 1/3? (a) They are equal (b) 4/5 (c) 1/3
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  31. 31.If 12 October is a Friday, what day of the week is 27 October? (a) Sunday (b) Monday (c) Saturday (d) Friday
  32. 32.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 24 sq cm (c) 35 sq cm (d) 12 sq cm
  33. 33.₹105 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹84 (b) ₹21 (c) ₹85 (d) ₹105
  34. 34.If 5x − 9 = 31, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  35. 35.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
  36. 36.Every pair follows the same rule: 2 : 4, 3 : 9, 9 : 81. What is 4 : ? (a) 21 (b) 8 (c) 16 (d) 6
  37. 37.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 12 cm (c) 95 cm (d) 7 cm
  38. 38.If 14 October is a Tuesday, what day of the week is 23 October? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  39. 39.What is the remainder when 97 is divided by 7? (a) 4 (b) 1 (c) 6 (d) 5
  40. 40.Which fraction is greater: 3/4 or 1/12? (a) 1/12 (b) They are equal (c) 3/4

Answer key

  1. 11%
  2. 16
  3. 77 sq cm
  4. 100
  5. 11/10
  6. 24
  7. 35
  8. 2160
  9. 50%
  10. 48
  11. Thursday
  12. 3 years
  13. 2
  14. 5 years
  15. 13
  16. 42 cm
  17. 11 cm
  18. ₹504
  19. 6128
  20. 12 days
  21. 1412
  22. 5
  23. 6 cm
  24. 64
  25. 32
  26. 7/8
  27. 11
  28. 10%
  29. 4/5
  30. 12 sq cm
  31. Saturday
  32. 35 sq cm
  33. ₹84
  34. 8
  35. 4
  36. 16
  37. 6 cm
  38. Thursday
  39. 6
  40. 3/4

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