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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 17 · 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.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 160 cm (b) 26 cm (c) 42 cm (d) 52 cm
  2. 2.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 15% (b) 10% (c) 76% (d) 5%
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  4. 4.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 3 (b) 47 (c) 28 (d) 27
  5. 5.If 17 January is a Friday, what day of the week is 17 February? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  7. 7.If 4x − 38 = 2, what is x? (a) 10 (b) 40 (c) 9 (d) 11
  8. 8.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
  9. 9.If 8 notebooks cost ₹160, how much do 12 notebooks cost? (a) ₹240 (b) ₹1920 (c) ₹164 (d) ₹260
  10. 10.What is the simple interest on ₹3500 at 12% per year for 3 years? (a) ₹1680 (b) ₹4760 (c) ₹1260 (d) ₹420
  11. 11.If 4 pens cost ₹44, how much do 5 pens cost? (a) ₹66 (b) ₹55 (c) ₹45 (d) ₹220
  12. 12.Every pair follows the same rule: 2 : 4, 3 : 9, 7 : 49. What is 9 : ? (a) 81 (b) 18 (c) 11 (d) 69
  13. 13.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 4 cm (d) 6 cm
  14. 14.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 30 (b) 25 (c) 60 (d) 150
  15. 15.What is 4/9 of 27? (a) 12 (b) 13 (c) 15 (d) 3
  16. 16.Two ribbons are 16 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 80 cm (b) 4 cm (c) 16 cm (d) 2 cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 3 cm (c) 24 cm (d) 4 cm
  18. 18.What is the average of all the whole numbers from 7 to 33? (a) 13 (b) 26 (c) 21 (d) 20
  19. 19.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  20. 20.The simple interest on ₹3500 for 4 years is ₹1540. What is the rate per year? (a) 10% (b) 12% (c) 44% (d) 11%
  21. 21.What is the smallest number you must add to 177 to make it divisible by 11? (a) 8 (b) 1 (c) 10 (d) 9
  22. 22.3/4 + 2/5 = ? (a) 11/10 (b) 5/9 (c) 6/5 (d) 23/20
  23. 23.Which is the smallest: 0.123, 0.084, 0.2, 0.28? (a) 0.123 (b) 0.084 (c) 0.2 (d) 0.28
  24. 24.Every pair follows the same rule: 2 : 9, 7 : 29, 8 : 33. What is 6 : ? (a) 25 (b) 24 (c) 26 (d) 13
  25. 25.If x/4 + 5 = 8, what is x? (a) 27 (b) 12 (c) 52 (d) 3
  26. 26.What is the remainder when 492 is divided by 11? (a) 3 (b) 8 (c) 7 (d) 9
  27. 27.Which is the smallest: 0.2, 0.125, 0.28, 0.077? (a) 0.2 (b) 0.125 (c) 0.28 (d) 0.077
  28. 28.If 7 notebooks cost ₹21, how much do 8 notebooks cost? (a) ₹24 (b) ₹168 (c) ₹22 (d) ₹27
  29. 29.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 41 (c) 20 (d) 38
  30. 30.In how many years will ₹3000 earn ₹240 simple interest at 2% per year? (a) 5 years (b) 8 years (c) 4 years (d) 3 years
  31. 31.1.93 + 5.9 = ? (a) 2.52 (b) 7.93 (c) 7.83 (d) 7.73
  32. 32.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 165 cm (c) 12 cm (d) 24 cm
  33. 33.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  34. 34.What is the remainder when 322 is divided by 11? (a) 4 (b) 8 (c) 2 (d) 3
  35. 35.Today is Monday. What day of the week will it be after 65 days? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  36. 36.Every pair follows the same rule: 2 : 9, 7 : 54, 9 : 86. What is 8 : ? (a) 68 (b) 70 (c) 69 (d) 15
  37. 37.Every pair follows the same rule: 3 : 18, 8 : 23, 9 : 24. What is 6 : ? (a) 21 (b) 36 (c) 20 (d) 22
  38. 38.What is the units digit of 3^44? (a) 7 (b) 1 (c) 9 (d) 3
  39. 39.Which is the greatest: 0.62, 0.554, 0.6, 0.081? (a) 0.62 (b) 0.554 (c) 0.6 (d) 0.081
  40. 40.If 4 pens cost ₹84, how much do 3 pens cost? (a) ₹84 (b) ₹63 (c) ₹252 (d) ₹83

Answer key

  1. 52 cm
  2. 10%
  3. 144 sq cm
  4. 27
  5. Monday
  6. 64 sq cm
  7. 10
  8. 52 cm
  9. ₹240
  10. ₹1260
  11. ₹55
  12. 81
  13. 3 cm
  14. 30
  15. 12
  16. 4 cm
  17. 3 cm
  18. 20
  19. 25%
  20. 11%
  21. 10
  22. 23/20
  23. 0.084
  24. 25
  25. 12
  26. 8
  27. 0.077
  28. ₹24
  29. 38
  30. 4 years
  31. 7.83
  32. 12 cm
  33. 100 sq cm
  34. 3
  35. Wednesday
  36. 69
  37. 21
  38. 1
  39. 0.62
  40. ₹63

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