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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 204 · 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. 1.3/4 + 1/3 = ? (a) 7/6 (b) 1 (c) 13/12 (d) 4/7
  2. 2.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 80 sq cm (d) 96 sq cm
  3. 3.A teacher has 24 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 6 (c) 60 (d) 24
  4. 4.5.78 + 7.8 = ? (a) 13.58 (b) 13.48 (c) 6.56 (d) 13.68
  5. 5.Every pair follows the same rule: 2 : 2, 4 : 6, 7 : 12. What is 3 : ? (a) 6 (b) 4 (c) 3 (d) 5
  6. 6.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 33 min (c) 270 min (d) 90 min
  7. 7.₹315 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹315 (b) ₹280 (c) ₹281 (d) ₹35
  8. 8.What is the units digit of 7^14? (a) 9 (b) 7 (c) 3 (d) 1
  9. 9.A teacher has 15 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 15 (c) 5 (d) 1
  10. 10.If 26 April is a Tuesday, what day of the week is 2 May? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
  11. 11.What is the average of 44, 32, 36, 52, 52 and 30? (a) 42 (b) 41 (c) 40 (d) 43
  12. 12.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 5 days
  13. 13.Which of these numbers is divisible by 6? (a) 4433 (b) 4425 (c) 4421 (d) 4422
  14. 14.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
  15. 15.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 5 : ? (a) 153 (b) 11 (c) 20 (d) 125
  16. 16.The simple interest on ₹5500 for 3 years is ₹1155. What is the rate per year? (a) 6% (b) 8% (c) 21% (d) 7%
  17. 17.What is the simple interest on ₹9000 at 2% per year for 4 years? (a) ₹9720 (b) ₹900 (c) ₹180 (d) ₹720
  18. 18.What is 1/3 of 12? (a) 5 (b) 3 (c) 4 (d) 8
  19. 19.The simple interest on ₹9000 for 3 years is ₹810. What is the rate per year? (a) 2% (b) 9% (c) 4% (d) 3%
  20. 20.If 4x + 16 = 2x + 18, what is x? (a) 3 (b) 2 (c) 1 (d) 17
  21. 21.What is the remainder when 510 is divided by 7? (a) 6 (b) 5 (c) 1 (d) 4
  22. 22.If x/6 + 11 = 13, what is x? (a) 67 (b) 144 (c) 12 (d) 2
  23. 23.Every pair follows the same rule: 4 : 14, 5 : 19, 7 : 29. What is 6 : ? (a) 25 (b) 23 (c) 24 (d) 16
  24. 24.Today is Wednesday. What day of the week will it be after 16 days? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  25. 25.The simple interest on ₹7000 for 2 years is ₹420. What is the rate per year? (a) 3% (b) 2% (c) 4% (d) 6%
  26. 26.What is the average of all the whole numbers from 18 to 54? (a) 18 (b) 35 (c) 36 (d) 37
  27. 27.The simple interest on ₹10000 for 3 years is ₹2700. What is the rate per year? (a) 10% (b) 27% (c) 9% (d) 8%
  28. 28.What is 60% of 280? (a) 1680 (b) 168 (c) 336 (d) 112
  29. 29.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  30. 30.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 20 days (b) 15 days (c) 6 days (d) 5 days
  31. 31.If 21 March is a Saturday, what day of the week is 9 April? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  32. 32.₹196 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹70 (b) ₹98 (c) ₹14 (d) ₹126
  33. 33.1/5 + 6/7 = ? (a) 37/35 (b) 36/35 (c) 7/12 (d) 38/35
  34. 34.Which is the greatest: 0.76, 0.7, 0.653, 0.063? (a) 0.76 (b) 0.7 (c) 0.653 (d) 0.063
  35. 35.What is 4/9 of 18? (a) 8 (b) 2 (c) 9 (d) 10
  36. 36.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 160 min (b) 40 min (c) 4 min (d) 28 min
  37. 37.A teacher has 42 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 336 (b) 6 (c) 3 (d) 42
  38. 38.Every pair follows the same rule: 3 : 6, 8 : 16, 9 : 18. What is 6 : ? (a) 11 (b) 9 (c) 13 (d) 12
  39. 39.3/7 + 2/3 = ? (a) 23/21 (b) 8/7 (c) 22/21 (d) 1/2
  40. 40.What is the average of 25, 9, 7 and 47? (a) 23 (b) 21 (c) 24 (d) 22

Answer key

  1. 13/12
  2. 80 sq cm
  3. 12
  4. 13.58
  5. 4
  6. 90 min
  7. ₹280
  8. 9
  9. 5
  10. Monday
  11. 41
  12. 3 days
  13. 4422
  14. 36 sq cm
  15. 125
  16. 7%
  17. ₹720
  18. 4
  19. 3%
  20. 1
  21. 6
  22. 12
  23. 24
  24. Friday
  25. 3%
  26. 36
  27. 9%
  28. 168
  29. 49 sq cm
  30. 5 days
  31. Thursday
  32. ₹126
  33. 37/35
  34. 0.76
  35. 8
  36. 40 min
  37. 6
  38. 12
  39. 23/21
  40. 22

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