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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 945 · 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.₹63 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹35 (b) ₹42 (c) ₹28 (d) ₹7
  2. 2.A shopkeeper buys a toy for ₹700 and sells it for ₹875. What is his profit percent? (a) 25% (b) 20% (c) 26% (d) 30%
  3. 3.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 84 min (c) 504 min (d) 6 min
  4. 4.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 16 (c) 11 (d) 25
  5. 5.If x/6 + 1 = 13, what is x? (a) 12 (b) 72 (c) 84 (d) 77
  6. 6.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 37 (b) 36 (c) 42 (d) 85
  7. 7.2/9 + 2/3 = ? (a) 8/9 (b) 1 (c) 7/9 (d) 1/3
  8. 8.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 44 cm (c) 80 cm (d) 24 cm
  9. 9.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 2 : ? (a) 5 (b) 8 (c) 4 (d) 6
  10. 10.What is 1/2 of 12? (a) 12 (b) 7 (c) 5 (d) 6
  11. 11.What is 75% of 160? (a) 1200 (b) 120 (c) 240 (d) 40
  12. 12.If 1 January is a Sunday, what day of the week is 10 January? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  13. 13.In how many years will ₹5000 earn ₹750 simple interest at 3% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
  14. 14.Every pair follows the same rule: 7 : 42, 8 : 48, 9 : 54. What is 4 : ? (a) 39 (b) 23 (c) 24 (d) 25
  15. 15.In how many years will ₹1500 earn ₹600 simple interest at 10% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  16. 16.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  17. 17.1.82 + 1.2 = ? (a) 3.02 (b) 2.92 (c) 3.12 (d) 1.94
  18. 18.If x/6 + 9 = 14, what is x? (a) 5 (b) 138 (c) 75 (d) 30
  19. 19.Every pair follows the same rule: 5 : 30, 7 : 42, 8 : 48. What is 2 : ? (a) 27 (b) 12 (c) 13 (d) 11
  20. 20.Which is the greatest: 0.352, 0.4, 0.056, 0.44? (a) 0.352 (b) 0.4 (c) 0.056 (d) 0.44
  21. 21.The simple interest on ₹3500 for 2 years is ₹630. What is the rate per year? (a) 10% (b) 18% (c) 9% (d) 8%
  22. 22.If 5x + 13 = 2x + 31, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  23. 23.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 120 sq cm (d) 21 sq cm
  24. 24.If 15 May is a Thursday, what day of the week is 1 June? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  25. 25.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  26. 26.3/4 + 2/3 = ? (a) 5/7 (b) 3/2 (c) 4/3 (d) 17/12
  27. 27.4 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 6 days (c) 14 days (d) 24 days
  28. 28.What is 75% of 100? (a) 750 (b) 25 (c) 150 (d) 75
  29. 29.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  30. 30.Which fraction is greater: 2/3 or 1/12? (a) They are equal (b) 2/3 (c) 1/12
  31. 31.If 15 October is a Monday, what day of the week is 31 October? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  32. 32.If 9x + 22 = 157, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  33. 33.What is the value of the digit 5 in 74.815? (a) 0.05 (b) 0.5 (c) 0.005 (d) 5
  34. 34.If 8 August is a Saturday, what day of the week is 23 August? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  35. 35.A teacher has 84 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 12 (c) 6 (d) 84
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹616. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  37. 37.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 22 days (d) 17 days
  38. 38.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 25 (b) 9 (c) 1 (d) 2
  39. 39.Which is the greatest: 0.3, 0.049, 0.38, 0.271? (a) 0.3 (b) 0.049 (c) 0.38 (d) 0.271
  40. 40.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 60 min (c) 35 min (d) 300 min

Answer key

  1. ₹35
  2. 25%
  3. 84 min
  4. 25
  5. 72
  6. 36
  7. 8/9
  8. 48 cm
  9. 4
  10. 6
  11. 120
  12. Tuesday
  13. 5 years
  14. 24
  15. 4 years
  16. 32 sq cm
  17. 3.02
  18. 30
  19. 12
  20. 0.44
  21. 9%
  22. 6
  23. 108 sq cm
  24. Sunday
  25. 121 sq cm
  26. 17/12
  27. 24 days
  28. 75
  29. 20%
  30. 2/3
  31. Wednesday
  32. 15
  33. 0.005
  34. Sunday
  35. 12
  36. 40%
  37. 21 days
  38. 1
  39. 0.38
  40. 60 min

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