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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 281 · 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.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 90 (b) 54 (c) 10 (d) 46
  2. 2.If 8x − 33 = 31, what is x? (a) 8 (b) 7 (c) 64 (d) 9
  3. 3.If 31 May is a Monday, what day of the week is 6 June? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  4. 4.Which fraction is greater: 1/7 or 2/3? (a) 2/3 (b) They are equal (c) 1/7
  5. 5.Today is Wednesday. What day of the week will it be after 64 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  6. 6.In how many years will ₹3000 earn ₹480 simple interest at 4% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
  7. 7.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 22 cm (d) 11 cm
  8. 8.What is 60% of 120? (a) 720 (b) 144 (c) 48 (d) 72
  9. 9.What is the remainder when 163 is divided by 9? (a) 8 (b) 0 (c) 2 (d) 1
  10. 10.The simple interest on ₹7500 for 5 years is ₹4125. What is the rate per year? (a) 55% (b) 12% (c) 10% (d) 11%
  11. 11.Every pair follows the same rule: 2 : 4, 5 : 13, 8 : 22. What is 4 : ? (a) 8 (b) 11 (c) 10 (d) 6
  12. 12.What is the smallest number you must add to 618 to make it divisible by 10? (a) 1 (b) 2 (c) 8 (d) 3
  13. 13.What is 60% of 900? (a) 360 (b) 1080 (c) 540 (d) 5400
  14. 14.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 240 min (b) 60 min (c) 4 min (d) 32 min
  15. 15.In how many years will ₹3500 earn ₹840 simple interest at 12% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  16. 16.If 3x − 5 = 19, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  17. 17.What is 5/7 of 28? (a) 24 (b) 20 (c) 8 (d) 4
  18. 18.What is the value of the digit 7 in 24.768? (a) 7 (b) 0.07 (c) 0.7 (d) 0.007
  19. 19.3.35 + 8.6 = ? (a) 11.85 (b) 11.95 (c) 12.05 (d) 4.21
  20. 20.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 70 min (c) 24 min (d) 140 min
  21. 21.What is the remainder when 135 is divided by 12? (a) 2 (b) 3 (c) 9 (d) 4
  22. 22.If 15 August is a Thursday, what day of the week is 29 August? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  23. 23.If 6x + 12 = 4x + 20, what is x? (a) 16 (b) 6 (c) 4 (d) 5
  24. 24.If 9x + 11 = 146, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  25. 25.8.33 + 2.5 = ? (a) 8.58 (b) 10.83 (c) 10.73 (d) 10.93
  26. 26.9 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 19 days (b) 16 days (c) 18 days (d) 12 days
  27. 27.Every pair follows the same rule: 2 : 10, 6 : 30, 9 : 45. What is 5 : ? (a) 13 (b) 26 (c) 25 (d) 24
  28. 28.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 162 cm (c) 10 cm (d) 20 cm
  29. 29.What is the simple interest on ₹2000 at 3% per year for 2 years? (a) ₹180 (b) ₹2120 (c) ₹120 (d) ₹60
  30. 30.What is the average of 38, 62, 37, 53 and 50? (a) 49 (b) 48 (c) 47 (d) 60
  31. 31.What is the value of the digit 7 in 25.367? (a) 0.007 (b) 0.07 (c) 0.7 (d) 7
  32. 32.A teacher has 30 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 180 (b) 3 (c) 6 (d) 30
  33. 33.If 10 March is a Friday, what day of the week is 20 March? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 84%
  35. 35.The simple interest on ₹5000 for 5 years is ₹1000. What is the rate per year? (a) 5% (b) 20% (c) 3% (d) 4%
  36. 36.What is the smallest number you must add to 503 to make it divisible by 9? (a) 2 (b) 3 (c) 1 (d) 8
  37. 37.7.84 + 4.7 = ? (a) 12.54 (b) 12.64 (c) 8.31 (d) 12.44
  38. 38.Every pair follows the same rule: 2 : 7, 4 : 19, 6 : 39. What is 7 : ? (a) 52 (b) 12 (c) 49 (d) 53
  39. 39.What is the smallest number you must add to 128 to make it divisible by 7? (a) 6 (b) 5 (c) 4 (d) 2
  40. 40.If 13 January is a Tuesday, what day of the week is 27 January? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday

Answer key

  1. 54
  2. 8
  3. Sunday
  4. 2/3
  5. Thursday
  6. 4 years
  7. 11 cm
  8. 72
  9. 1
  10. 11%
  11. 10
  12. 2
  13. 540
  14. 60 min
  15. 2 years
  16. 8
  17. 20
  18. 0.7
  19. 11.95
  20. 70 min
  21. 3
  22. Thursday
  23. 4
  24. 15
  25. 10.83
  26. 18 days
  27. 25
  28. 10 cm
  29. ₹120
  30. 48
  31. 0.007
  32. 6
  33. Monday
  34. 30%
  35. 4%
  36. 1
  37. 12.54
  38. 52
  39. 5
  40. Tuesday

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