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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 23 · 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 has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 68 cm (c) 6 cm (d) 5 cm
  2. 2.Which fraction is greater: 5/6 or 1/7? (a) 5/6 (b) They are equal (c) 1/7
  3. 3.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 16 (d) 40
  4. 4.Which of these numbers is divisible by 9? (a) 4049 (b) 4050 (c) 4063 (d) 4057
  5. 5.Every pair follows the same rule: 2 : 8, 4 : 14, 7 : 23. What is 6 : ? (a) 12 (b) 24 (c) 21 (d) 20
  6. 6.If 7x − 2 = 19, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  7. 7.What is the smallest number you must add to 119 to make it divisible by 3? (a) 1 (b) 2
  8. 8.What is the units digit of 2^49? (a) 4 (b) 8 (c) 6 (d) 2
  9. 9.If 3x − 8 = 7, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  10. 10.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 96 (b) 192 (c) 48 (d) 28
  11. 11.Today is Saturday. What day of the week will it be after 74 days? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  12. 12.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
  13. 13.What is the smallest number you must add to 175 to make it divisible by 11? (a) 2 (b) 3 (c) 10 (d) 1
  14. 14.₹91 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹26 (b) ₹65 (c) ₹13 (d) ₹78
  15. 15.If 7 notebooks cost ₹49, how much do 5 notebooks cost? (a) ₹47 (b) ₹245 (c) ₹42 (d) ₹35
  16. 16.Every pair follows the same rule: 3 : 18, 7 : 42, 8 : 48. What is 5 : ? (a) 29 (b) 30 (c) 20 (d) 31
  17. 17.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 108 sq cm (b) 23 sq cm (c) 46 sq cm (d) 90 sq cm
  18. 18.1.32 + 8.1 = ? (a) 2.13 (b) 9.42 (c) 9.32 (d) 9.52
  19. 19.5/9 + 2/3 = ? (a) 4/3 (b) 7/12 (c) 10/9 (d) 11/9
  20. 20.Every pair follows the same rule: 2 : 3, 3 : 6, 8 : 21. What is 6 : ? (a) 14 (b) 15 (c) 7 (d) 16
  21. 21.₹2500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹2600 (b) ₹2550 (c) ₹2650 (d) ₹100
  22. 22.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 15 cm (c) 4 cm (d) 2 cm
  23. 23.Every pair follows the same rule: 3 : 9, 7 : 21, 9 : 27. What is 4 : ? (a) 10 (b) 12 (c) 11 (d) 13
  24. 24.₹1500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹1560 (b) ₹1680 (c) ₹1740 (d) ₹180
  25. 25.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 30 (b) 78 (c) 38 (d) 31
  26. 26.A teacher has 16 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 56 (c) 8 (d) 4
  27. 27.If 2x + 16 = 30, what is x? (a) 23 (b) 8 (c) 14 (d) 7
  28. 28.Which fraction is greater: 2/5 or 3/7? (a) 2/5 (b) They are equal (c) 3/7
  29. 29.Today is Tuesday. What day of the week will it be after 76 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  30. 30.If 9x + 1 = 6x + 13, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  31. 31.Every pair follows the same rule: 2 : 8, 3 : 9, 6 : 12. What is 5 : ? (a) 11 (b) 20 (c) 12 (d) 10
  32. 32.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 140 cm (c) 38 cm (d) 48 cm
  33. 33.Every pair follows the same rule: 4 : 7, 6 : 13, 8 : 19. What is 3 : ? (a) 3 (b) 5 (c) 4 (d) 6
  34. 34.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 23 (c) 29 (d) 7
  35. 35.7/8 + 4/8 = ? (a) 11/16 (b) 3/2 (c) 5/4 (d) 11/8
  36. 36.What is the remainder when 134 is divided by 4? (a) 2 (b) 0 (c) 1 (d) 3
  37. 37.What is the smallest number you must add to 210 to make it divisible by 11? (a) 9 (b) 8 (c) 1 (d) 10
  38. 38.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 37 cm (c) 44 cm (d) 105 cm
  39. 39.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  40. 40.3/4 + 6/7 = ? (a) 11/7 (b) 9/11 (c) 23/14 (d) 45/28

Answer key

  1. 5 cm
  2. 5/6
  3. 8
  4. 4050
  5. 20
  6. 3
  7. 1
  8. 2
  9. 5
  10. 48
  11. Wednesday
  12. 64 sq cm
  13. 1
  14. ₹65
  15. ₹35
  16. 30
  17. 90 sq cm
  18. 9.42
  19. 11/9
  20. 15
  21. ₹2600
  22. 2 cm
  23. 12
  24. ₹1680
  25. 30
  26. 8
  27. 7
  28. 3/7
  29. Monday
  30. 4
  31. 11
  32. 48 cm
  33. 4
  34. 29
  35. 11/8
  36. 2
  37. 10
  38. 44 cm
  39. 15%
  40. 45/28

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