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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 333 · 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.If 13 December is a Wednesday, what day of the week is 23 December? (a) Monday (b) Friday (c) Saturday (d) Sunday
  2. 2.The simple interest on ₹7500 for 4 years is ₹1800. What is the rate per year? (a) 6% (b) 5% (c) 7% (d) 24%
  3. 3.If 15 March is a Tuesday, what day of the week is 7 April? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  4. 4.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 77 cm
  5. 5.Today is Sunday. What day of the week will it be after 73 days? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
  6. 6.In how many years will ₹6000 earn ₹480 simple interest at 4% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
  7. 7.Which of these numbers is divisible by 8? (a) 3328 (b) 3333 (c) 3326 (d) 3341
  8. 8.2/3 + 1/2 = ? (a) 3/5 (b) 1 (c) 7/6 (d) 4/3
  9. 9.If 2 pens cost ₹8, how much do 3 pens cost? (a) ₹24 (b) ₹9 (c) ₹12 (d) ₹16
  10. 10.Every pair follows the same rule: 3 : 18, 6 : 36, 9 : 54. What is 2 : ? (a) 17 (b) 13 (c) 11 (d) 12
  11. 11.Which is the smallest: 0.33, 0.244, 0.019, 0.3? (a) 0.33 (b) 0.244 (c) 0.019 (d) 0.3
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 25% (c) 20% (d) 30%
  13. 13.What is 1/2 of 20? (a) 11 (b) 10 (c) 20 (d) 9
  14. 14.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 30 (c) 21 (d) 90
  15. 15.Every pair follows the same rule: 3 : 18, 4 : 22, 6 : 30. What is 2 : ? (a) 12 (b) 14 (c) 15 (d) 17
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  17. 17.Two ribbons are 22 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 55 cm (c) 1 cm (d) 22 cm
  18. 18.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 26 (c) 29 (d) 53
  19. 19.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 4 cm (c) 6 cm (d) 3 cm
  20. 20.Every pair follows the same rule: 2 : 17, 4 : 19, 7 : 22. What is 3 : ? (a) 17 (b) 18 (c) 20 (d) 19
  21. 21.If 3x + 20 = 29, what is x? (a) 9 (b) 4 (c) 3 (d) 2
  22. 22.What is the average of all the whole numbers from 13 to 47? (a) 17 (b) 31 (c) 34 (d) 30
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  24. 24.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 50 (b) 56 (c) 61 (d) 101
  25. 25.What is the remainder when 393 is divided by 11? (a) 8 (b) 9 (c) 3 (d) 7
  26. 26.What is the average of 24, 47, 27 and 42? (a) 37 (b) 36 (c) 34 (d) 35
  27. 27.Two ribbons are 16 cm and 56 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) 8 cm (c) 40 cm (d) 16 cm
  28. 28.If 6x + 4 = 5x + 6, what is x? (a) 3 (b) 10 (c) 4 (d) 2
  29. 29.Which is the smallest: 0.63, 0.522, 0.068, 0.6? (a) 0.63 (b) 0.522 (c) 0.068 (d) 0.6
  30. 30.What is the average of 71, 55, 76, 51 and 67? (a) 64 (b) 63 (c) 65 (d) 80
  31. 31.What is 60% of 220? (a) 1320 (b) 132 (c) 88 (d) 264
  32. 32.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
  33. 33.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 90 (c) 270 (d) 180
  34. 34.If 2x + 4 = 26, what is x? (a) 12 (b) 15 (c) 22 (d) 11
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  36. 36.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 17 days (b) 7 days (c) 24 days (d) 6 days
  37. 37.Which of these numbers is divisible by 9? (a) 6501 (b) 6490 (c) 6488 (d) 6489
  38. 38.Which is the greatest: 0.3, 0.221, 0.39, 0.069? (a) 0.3 (b) 0.221 (c) 0.39 (d) 0.069
  39. 39.If 3x + 6 = 2x + 13, what is x? (a) 9 (b) 8 (c) 7 (d) 19
  40. 40.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 15% (b) 20% (c) 72% (d) 10%

Answer key

  1. Saturday
  2. 6%
  3. Thursday
  4. 8 cm
  5. Wednesday
  6. 2 years
  7. 3328
  8. 7/6
  9. ₹12
  10. 12
  11. 0.019
  12. 25%
  13. 10
  14. 30
  15. 14
  16. 25 sq cm
  17. 11 cm
  18. 53
  19. 3 cm
  20. 18
  21. 3
  22. 30
  23. 30 sq cm
  24. 101
  25. 8
  26. 35
  27. 8 cm
  28. 2
  29. 0.068
  30. 64
  31. 132
  32. 36 sq cm
  33. 90
  34. 11
  35. 18 sq cm
  36. 6 days
  37. 6489
  38. 0.39
  39. 7
  40. 15%

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