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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 306 · 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.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 32 cm (c) 6 cm (d) 5 cm
  2. 2.Which fraction is greater: 6/11 or 1/6? (a) They are equal (b) 1/6 (c) 6/11
  3. 3.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 18 (b) 40 (c) 80 (d) 41
  4. 4.If 26 November is a Sunday, what day of the week is 7 December? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  5. 5.₹480 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹240 (b) ₹48 (c) ₹432 (d) ₹480
  6. 6.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 27 days (c) 28 days (d) 3 days
  7. 7.Every pair follows the same rule: 3 : 8, 5 : 24, 7 : 48. What is 9 : ? (a) 14 (b) 80 (c) 81 (d) 72
  8. 8.Every pair follows the same rule: 2 : 2, 4 : 14, 6 : 34. What is 3 : ? (a) 7 (b) 8 (c) 3 (d) 4
  9. 9.₹161 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹139 (b) ₹161 (c) ₹23 (d) ₹138
  10. 10.5.18 + 2.8 = ? (a) 7.88 (b) 7.98 (c) 8.08 (d) 5.46
  11. 11.If 8 March is a Wednesday, what day of the week is 21 March? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  12. 12.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 70% (b) 15% (c) 10% (d) 5%
  13. 13.In how many years will ₹4000 earn ₹480 simple interest at 4% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
  14. 14.A shopkeeper buys a toy for ₹980 and sells it for ₹1372. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  15. 15.What is the units digit of 8^16? (a) 2 (b) 6 (c) 8 (d) 4
  16. 16.₹700 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹50 (b) ₹250 (c) ₹450 (d) ₹350
  17. 17.₹484 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹44 (b) ₹242 (c) ₹396 (d) ₹88
  18. 18.2/5 + 1/2 = ? (a) 4/5 (b) 9/10 (c) 1 (d) 3/7
  19. 19.Which is the smallest: 0.5, 0.437, 0.073, 0.57? (a) 0.5 (b) 0.437 (c) 0.073 (d) 0.57
  20. 20.If 1 January is a Wednesday, what day of the week is 17 January? (a) Sunday (b) Friday (c) Thursday (d) Saturday
  21. 21.2.85 + 9.9 = ? (a) 12.65 (b) 3.84 (c) 12.85 (d) 12.75
  22. 22.The simple interest on ₹1500 for 4 years is ₹420. What is the rate per year? (a) 8% (b) 7% (c) 6% (d) 28%
  23. 23.Every pair follows the same rule: 2 : 7, 7 : 27, 8 : 31. What is 9 : ? (a) 34 (b) 14 (c) 36 (d) 35
  24. 24.Two ribbons are 22 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 22 cm (c) 1 cm (d) 11 cm
  25. 25.A shopkeeper buys a toy for ₹540 and sells it for ₹810. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  26. 26.If 9x − 9 = 81, what is x? (a) 8 (b) 11 (c) 90 (d) 10
  27. 27.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 8 cm (d) 4 cm
  28. 28.4 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 11 days (b) 7 days (c) 9 days (d) 8 days
  29. 29.If x/3 + 8 = 20, what is x? (a) 36 (b) 12 (c) 84 (d) 52
  30. 30.What is 50% of 80? (a) 80 (b) 40 (c) 41 (d) 400
  31. 31.A teacher has 16 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 16 (c) 48 (d) 8
  32. 32.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 20 (c) 4 (d) 2
  33. 33.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 3 min (c) 126 min (d) 42 min
  34. 34.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  35. 35.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 34 (c) 102 (d) 33
  36. 36.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 5 (c) 20 (d) 45
  37. 37.2/3 + 1/2 = ? (a) 1 (b) 3/5 (c) 4/3 (d) 7/6
  38. 38.What is the value of the digit 1 in 93.152? (a) 0.1 (b) 0.001 (c) 1 (d) 0.01
  39. 39.A bag marked ₹1240 is sold at a 50% discount. What is its selling price? (a) ₹1860 (b) ₹621 (c) ₹620 (d) ₹1190
  40. 40.5.85 + 4.2 = ? (a) 10.15 (b) 6.27 (c) 10.05 (d) 9.95

Answer key

  1. 5 cm
  2. 6/11
  3. 40
  4. Thursday
  5. ₹432
  6. 27 days
  7. 80
  8. 7
  9. ₹138
  10. 7.98
  11. Tuesday
  12. 10%
  13. 3 years
  14. 40%
  15. 6
  16. ₹450
  17. ₹396
  18. 9/10
  19. 0.073
  20. Friday
  21. 12.75
  22. 7%
  23. 35
  24. 11 cm
  25. 50%
  26. 10
  27. 4 cm
  28. 8 days
  29. 36
  30. 40
  31. 8
  32. 4
  33. 42 min
  34. 40%
  35. 33
  36. 5
  37. 7/6
  38. 0.1
  39. ₹620
  40. 10.05

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