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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 789 · 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.₹143 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹55 (b) ₹99 (c) ₹11 (d) ₹88
  2. 2.Every pair follows the same rule: 3 : 8, 4 : 15, 9 : 80. What is 2 : ? (a) 7 (b) 3 (c) 2 (d) 4
  3. 3.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 60 cm
  4. 4.In how many years will ₹10000 earn ₹4400 simple interest at 11% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  5. 5.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 120 sq cm (c) 25 sq cm (d) 50 sq cm
  6. 6.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 2 min (c) 48 min (d) 24 min
  7. 7.₹1500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹2040 (b) ₹2175 (c) ₹540 (d) ₹1635
  8. 8.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 6 days (d) 2 days
  9. 9.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  10. 10.2.31 + 5.3 = ? (a) 2.84 (b) 7.71 (c) 7.61 (d) 7.51
  11. 11.What is 50% of 420? (a) 211 (b) 420 (c) 210 (d) 2100
  12. 12.If 6x + 14 = 3x + 20, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  13. 13.Which is the greatest: 0.25, 0.2, 0.055, 0.194? (a) 0.25 (b) 0.2 (c) 0.055 (d) 0.194
  14. 14.4.02 + 7.3 = ? (a) 11.42 (b) 11.22 (c) 4.75 (d) 11.32
  15. 15.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 20% (b) 90% (c) 30% (d) 25%
  16. 16.What is the average of all the whole numbers from 37 to 73? (a) 55 (b) 18 (c) 56 (d) 36
  17. 17.Which fraction is greater: 7/8 or 3/5? (a) 7/8 (b) 3/5 (c) They are equal
  18. 18.If x/2 + 6 = 10, what is x? (a) 4 (b) 8 (c) 14 (d) 32
  19. 19.A shopkeeper buys a toy for ₹940 and sells it for ₹705. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  20. 20.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 126 (c) 42 (d) 84
  21. 21.Every pair follows the same rule: 4 : 5, 7 : 11, 8 : 13. What is 3 : ? (a) 5 (b) 4 (c) 2 (d) 3
  22. 22.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 24 (c) 53 (d) 74
  23. 23.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 90 sq cm (d) 19 sq cm
  24. 24.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 17 (b) 16 (c) 34 (d) 71
  25. 25.If 15 March is a Monday, what day of the week is 30 March? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  26. 26.If 7x + 12 = 2x + 37, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  27. 27.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 7 (b) 8 (c) 2 (d) 9
  28. 28.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 11 days (c) 10 days (d) 7 days
  29. 29.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹425 (b) ₹485 (c) ₹575 (d) ₹75
  30. 30.What is 40% of 300? (a) 1200 (b) 180 (c) 240 (d) 120
  31. 31.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 160 cm
  32. 32.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 46 (b) 4 (c) 64 (d) 65
  33. 33.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 500 min (c) 5 min (d) 100 min
  34. 34.What is the average of 25, 36, 37, 22 and 45? (a) 35 (b) 34 (c) 33 (d) 32
  35. 35.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 10% (c) 80% (d) 15%
  36. 36.A teacher has 9 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 12 (c) 3 (d) 9
  37. 37.Today is Monday. What day of the week will it be after 73 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  38. 38.A bag marked ₹1860 is sold at a 50% discount. What is its selling price? (a) ₹930 (b) ₹931 (c) ₹2790 (d) ₹1810
  39. 39.In how many years will ₹3500 earn ₹770 simple interest at 11% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
  40. 40.Which fraction is greater: 1/5 or 8/11? (a) 1/5 (b) 8/11 (c) They are equal

Answer key

  1. ₹88
  2. 3
  3. 6 cm
  4. 4 years
  5. 100 sq cm
  6. 24 min
  7. ₹2040
  8. 8 days
  9. 20 cm
  10. 7.61
  11. 210
  12. 2
  13. 0.25
  14. 11.32
  15. 25%
  16. 55
  17. 7/8
  18. 8
  19. 25%
  20. 42
  21. 3
  22. 74
  23. 90 sq cm
  24. 16
  25. Tuesday
  26. 5
  27. 8
  28. 10 days
  29. ₹425
  30. 120
  31. 11 cm
  32. 64
  33. 100 min
  34. 33
  35. 10%
  36. 3
  37. Thursday
  38. ₹930
  39. 2 years
  40. 8/11

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