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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 93 · 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 4x + 19 = 3x + 24, what is x? (a) 5 (b) 7 (c) 43 (d) 6
  2. 2.If 4x − 1 = 7, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  3. 3.Which fraction is greater: 4/5 or 1/3? (a) They are equal (b) 1/3 (c) 4/5
  4. 4.If 9 mangoes cost ₹63, how much do 3 mangoes cost? (a) ₹28 (b) ₹57 (c) ₹21 (d) ₹189
  5. 5.What is the units digit of 4^15? (a) 4 (b) 5 (c) 3 (d) 6
  6. 6.If 7x + 8 = x + 26, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  7. 7.Every pair follows the same rule: 3 : 6, 5 : 10, 7 : 14. What is 9 : ? (a) 17 (b) 12 (c) 18 (d) 19
  8. 8.What is the value of the digit 7 in 71.459? (a) 0.07 (b) 7 (c) 0.7 (d) 70
  9. 9.5/8 + 2/8 = ? (a) 7/16 (b) 1 (c) 3/4 (d) 7/8
  10. 10.1/3 + 7/9 = ? (a) 11/9 (b) 2/3 (c) 1 (d) 10/9
  11. 11.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 1 day (c) 10 days (d) 11 days
  12. 12.₹369 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹164 (b) ₹41 (c) ₹246 (d) ₹205
  13. 13.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 26 cm (c) 72 cm (d) 17 cm
  14. 14.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 8 days (c) 13 days (d) 11 days
  15. 15.If 7x − 44 = 5, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  16. 16.If 3 pens cost ₹48, how much do 2 pens cost? (a) ₹32 (b) ₹48 (c) ₹47 (d) ₹96
  17. 17.What is 1/9 of 63? (a) 8 (b) 7 (c) 14 (d) 56
  18. 18.If 5x + 10 = 3x + 30, what is x? (a) 10 (b) 11 (c) 12 (d) 20
  19. 19.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 6 : ? (a) 29 (b) 7 (c) 35 (d) 36
  20. 20.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 28 cm (d) 34 cm
  21. 21.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 8 : ? (a) 14 (b) 60 (c) 64 (d) 24
  22. 22.If 25 March is a Saturday, what day of the week is 16 April? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  23. 23.If 3x + 20 = 38, what is x? (a) 7 (b) 18 (c) 6 (d) 5
  24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 192 (b) 96 (c) 48 (d) 28
  25. 25.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 3 days (d) 2 days
  26. 26.₹234 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹26 (b) ₹117 (c) ₹182 (d) ₹52
  27. 27.If 4x + 19 = 2x + 41, what is x? (a) 30 (b) 12 (c) 13 (d) 11
  28. 28.2/3 + 1/3 = ? (a) 4/3 (b) 2/3 (c) 1 (d) 1/2
  29. 29.Which of these numbers is divisible by 11? (a) 3602 (b) 3588 (c) 3586 (d) 3578
  30. 30.Two ribbons are 8 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 8 cm (c) 40 cm (d) 2 cm
  31. 31.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 84 (b) 168 (c) 252 (d) 33
  32. 32.What is the simple interest on ₹3500 at 4% per year for 5 years? (a) ₹4200 (b) ₹140 (c) ₹840 (d) ₹700
  33. 33.Which is the greatest: 0.019, 0.8, 0.728, 0.81? (a) 0.019 (b) 0.8 (c) 0.728 (d) 0.81
  34. 34.What is the value of the digit 9 in 89.254? (a) 0.09 (b) 9 (c) 0.9 (d) 90
  35. 35.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 18 min (d) 28 min
  36. 36.Every pair follows the same rule: 4 : 12, 6 : 22, 7 : 27. What is 3 : ? (a) 11 (b) 9 (c) 7 (d) 8
  37. 37.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹94 (b) ₹47 (c) ₹141 (d) ₹188
  38. 38.5.21 + 3.9 = ? (a) 9.01 (b) 9.11 (c) 9.21 (d) 5.6
  39. 39.A bag marked ₹280 is sold at a 20% discount. What is its selling price? (a) ₹224 (b) ₹56 (c) ₹260 (d) ₹336
  40. 40.Every pair follows the same rule: 2 : 5, 8 : 65, 9 : 82. What is 7 : ? (a) 48 (b) 51 (c) 10 (d) 50

Answer key

  1. 5
  2. 2
  3. 4/5
  4. ₹21
  5. 4
  6. 3
  7. 18
  8. 70
  9. 7/8
  10. 10/9
  11. 10 days
  12. ₹205
  13. 34 cm
  14. 18 days
  15. 7
  16. ₹32
  17. 7
  18. 10
  19. 35
  20. 34 cm
  21. 64
  22. Sunday
  23. 6
  24. 48
  25. 3 days
  26. ₹182
  27. 11
  28. 1
  29. 3586
  30. 2 cm
  31. 84
  32. ₹700
  33. 0.81
  34. 9
  35. 28 min
  36. 7
  37. ₹141
  38. 9.11
  39. ₹224
  40. 50

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