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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 132 · 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.What is 25% of 520? (a) 260 (b) 390 (c) 130 (d) 1300
  2. 2.Every pair follows the same rule: 6 : 36, 7 : 49, 9 : 81. What is 3 : ? (a) 10 (b) 9 (c) 18 (d) 33
  3. 3.If 3 pens cost ₹36, how much do 8 pens cost? (a) ₹96 (b) ₹41 (c) ₹288 (d) ₹108
  4. 4.What is the remainder when 141 is divided by 8? (a) 5 (b) 4 (c) 6 (d) 3
  5. 5.If 4x + 7 = x + 19, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  6. 6.If 6 January is a Sunday, what day of the week is 18 January? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  7. 7.Every pair follows the same rule: 4 : 25, 7 : 58, 8 : 73. What is 5 : ? (a) 35 (b) 28 (c) 26 (d) 34
  8. 8.What is the remainder when 538 is divided by 10? (a) 2 (b) 9 (c) 7 (d) 8
  9. 9.8.31 + 7.6 = ? (a) 15.91 (b) 16.01 (c) 9.07 (d) 15.81
  10. 10.Every pair follows the same rule: 2 : 9, 7 : 54, 8 : 69. What is 3 : ? (a) 15 (b) 13 (c) 10 (d) 14
  11. 11.Today is Monday. What day of the week will it be after 98 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  12. 12.If 8x − 27 = 5, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  13. 13.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
  14. 14.If 5x − 5 = 5, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  15. 15.If 6x + 11 = 5x + 13, what is x? (a) 4 (b) 24 (c) 2 (d) 3
  16. 16.What is the simple interest on ₹6000 at 4% per year for 4 years? (a) ₹240 (b) ₹1200 (c) ₹960 (d) ₹6960
  17. 17.7.38 + 4.8 = ? (a) 12.08 (b) 12.28 (c) 12.18 (d) 7.86
  18. 18.If 4x + 4 = 52, what is x? (a) 14 (b) 48 (c) 13 (d) 12
  19. 19.What is 5/9 of 108? (a) 48 (b) 60 (c) 12 (d) 72
  20. 20.What is the simple interest on ₹9000 at 4% per year for 2 years? (a) ₹720 (b) ₹9720 (c) ₹1080 (d) ₹360
  21. 21.8.35 + 1.7 = ? (a) 9.95 (b) 10.15 (c) 10.05 (d) 8.52
  22. 22.Every pair follows the same rule: 5 : 8, 6 : 10, 7 : 12. What is 8 : ? (a) 15 (b) 13 (c) 14 (d) 11
  23. 23.₹90 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹80 (b) ₹90 (c) ₹10 (d) ₹45
  24. 24.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 11 cm (c) 10 cm (d) 20 cm
  25. 25.What is the simple interest on ₹10000 at 10% per year for 3 years? (a) ₹1000 (b) ₹3000 (c) ₹13000 (d) ₹4000
  26. 26.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 18 (b) 40 (c) 80 (d) 41
  27. 27.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 120 (b) 180 (c) 60 (d) 27
  28. 28.If 5x − 68 = 2, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  29. 29.Which fraction is greater: 2/7 or 1/9? (a) 1/9 (b) They are equal (c) 2/7
  30. 30.4.63 + 4.1 = ? (a) 5.04 (b) 8.83 (c) 8.63 (d) 8.73
  31. 31.What is 5% of 380? (a) 190 (b) 361 (c) 38 (d) 19
  32. 32.Which fraction is greater: 4/11 or 5/12? (a) 4/11 (b) They are equal (c) 5/12
  33. 33.Which fraction is greater: 1/5 or 7/12? (a) 1/5 (b) 7/12 (c) They are equal
  34. 34.5.93 + 3.9 = ? (a) 6.32 (b) 9.73 (c) 9.83 (d) 9.93
  35. 35.What is the value of the digit 5 in 59.731? (a) 0.05 (b) 0.5 (c) 50 (d) 5
  36. 36.If x/3 + 2 = 7, what is x? (a) 5 (b) 19 (c) 15 (d) 27
  37. 37.Every pair follows the same rule: 2 : 3, 4 : 11, 7 : 23. What is 3 : ? (a) 4 (b) 8 (c) 6 (d) 7
  38. 38.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
  39. 39.Which is the smallest: 0.8, 0.025, 0.82, 0.774? (a) 0.8 (b) 0.025 (c) 0.82 (d) 0.774
  40. 40.₹88 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹8 (b) ₹44 (c) ₹56 (d) ₹32

Answer key

  1. 130
  2. 9
  3. ₹96
  4. 5
  5. 4
  6. Friday
  7. 34
  8. 8
  9. 15.91
  10. 14
  11. Monday
  12. 4
  13. 4 cm
  14. 2
  15. 2
  16. ₹960
  17. 12.18
  18. 12
  19. 60
  20. ₹720
  21. 10.05
  22. 14
  23. ₹80
  24. 10 cm
  25. ₹3000
  26. 40
  27. 60
  28. 14
  29. 2/7
  30. 8.73
  31. 19
  32. 5/12
  33. 7/12
  34. 9.83
  35. 50
  36. 15
  37. 7
  38. 16 sq cm
  39. 0.025
  40. ₹56

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