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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 755 · 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.Every pair follows the same rule: 3 : 3, 4 : 5, 6 : 9. What is 9 : ? (a) 9 (b) 16 (c) 14 (d) 15
  2. 2.If 13 October is a Thursday, what day of the week is 15 November? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  3. 3.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  4. 4.2.97 + 3.5 = ? (a) 6.57 (b) 6.37 (c) 6.47 (d) 3.32
  5. 5.Today is Monday. What day of the week will it be after 60 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  6. 6.Every pair follows the same rule: 4 : 19, 5 : 28, 6 : 39. What is 8 : ? (a) 67 (b) 61 (c) 68 (d) 23
  7. 7.Which of these numbers is divisible by 8? (a) 4665 (b) 4674 (c) 4664 (d) 4657
  8. 8.What is the remainder when 397 is divided by 8? (a) 3 (b) 4 (c) 6 (d) 5
  9. 9.What is the units digit of 3^36? (a) 1 (b) 9 (c) 7 (d) 3
  10. 10.Today is Sunday. What day of the week will it be after 12 days? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  11. 11.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 54 days (c) 5 days (d) 55 days
  12. 12.A bag marked ₹960 is sold at a 50% discount. What is its selling price? (a) ₹910 (b) ₹480 (c) ₹1440 (d) ₹481
  13. 13.Every pair follows the same rule: 2 : 12, 4 : 24, 6 : 44. What is 9 : ? (a) 89 (b) 74 (c) 54 (d) 19
  14. 14.What is the remainder when 296 is divided by 12? (a) 7 (b) 9 (c) 4 (d) 8
  15. 15.If x/6 + 4 = 14, what is x? (a) 10 (b) 80 (c) 108 (d) 60
  16. 16.If 2x + 20 = 24, what is x? (a) 22 (b) 4 (c) 2 (d) 3
  17. 17.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 24 (d) 96
  18. 18.In how many years will ₹8500 earn ₹4080 simple interest at 12% per year? (a) 8 years (b) 4 years (c) 3 years (d) 5 years
  19. 19.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 12 cm (c) 42 cm (d) 6 cm
  20. 20.In how many years will ₹5500 earn ₹2750 simple interest at 10% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  21. 21.If 3x − 2 = 16, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  22. 22.What is the simple interest on ₹10000 at 4% per year for 3 years? (a) ₹11200 (b) ₹1600 (c) ₹1200 (d) ₹400
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  24. 24.A shopkeeper buys a toy for ₹560 and sells it for ₹644. What is his profit percent? (a) 10% (b) 84% (c) 20% (d) 15%
  25. 25.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
  26. 26.What is the units digit of 7^28? (a) 3 (b) 7 (c) 9 (d) 1
  27. 27.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 42%
  28. 28.The simple interest on ₹9500 for 5 years is ₹5700. What is the rate per year? (a) 12% (b) 13% (c) 60% (d) 11%
  29. 29.Which fraction is greater: 4/5 or 1/3? (a) 4/5 (b) They are equal (c) 1/3
  30. 30.The simple interest on ₹8500 for 2 years is ₹510. What is the rate per year? (a) 2% (b) 4% (c) 6% (d) 3%
  31. 31.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 96 min (c) 4 min (d) 20 min
  32. 32.In how many years will ₹9500 earn ₹950 simple interest at 5% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
  33. 33.Which fraction is greater: 2/7 or 2/5? (a) 2/5 (b) 2/7 (c) They are equal
  34. 34.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 21 (b) 8 (c) 40 (d) 27
  35. 35.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 18 cm (c) 16 cm (d) 14 cm
  36. 36.What is 20% of 640? (a) 128 (b) 1280 (c) 256 (d) 512
  37. 37.9.57 + 1.3 = ? (a) 10.87 (b) 10.97 (c) 9.7 (d) 10.77
  38. 38.Which is the greatest: 0.534, 0.6, 0.61, 0.039? (a) 0.534 (b) 0.6 (c) 0.61 (d) 0.039
  39. 39.2/8 + 1/3 = ? (a) 13/24 (b) 7/12 (c) 3/11 (d) 5/8
  40. 40.Today is Tuesday. What day of the week will it be after 37 days? (a) Thursday (b) Wednesday (c) Saturday (d) Friday

Answer key

  1. 15
  2. Tuesday
  3. 30%
  4. 6.47
  5. Friday
  6. 67
  7. 4664
  8. 5
  9. 1
  10. Friday
  11. 54 days
  12. ₹480
  13. 89
  14. 8
  15. 60
  16. 2
  17. 24
  18. 4 years
  19. 6 cm
  20. 5 years
  21. 6
  22. ₹1200
  23. 121 sq cm
  24. 15%
  25. 70 sq cm
  26. 1
  27. 10%
  28. 12%
  29. 4/5
  30. 3%
  31. 24 min
  32. 2 years
  33. 2/5
  34. 27
  35. 18 cm
  36. 128
  37. 10.87
  38. 0.61
  39. 7/12
  40. Thursday

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