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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 930 · 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.Today is Wednesday. What day of the week will it be after 70 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  2. 2.3/5 + 2/6 = ? (a) 9/10 (b) 29/30 (c) 14/15 (d) 5/11
  3. 3.What is 2/3 of 6? (a) 4 (b) 2 (c) 6 (d) 5
  4. 4.Every pair follows the same rule: 2 : 3, 6 : 35, 8 : 63. What is 3 : ? (a) 7 (b) 4 (c) 8 (d) 9
  5. 5.What is the remainder when 547 is divided by 7? (a) 6 (b) 1 (c) 0 (d) 2
  6. 6.Every pair follows the same rule: 4 : 13, 5 : 15, 8 : 21. What is 3 : ? (a) 10 (b) 13 (c) 12 (d) 11
  7. 7.What is the average of all the whole numbers from 13 to 31? (a) 22 (b) 23 (c) 18 (d) 9
  8. 8.1.86 + 4.5 = ? (a) 6.26 (b) 6.36 (c) 2.31 (d) 6.46
  9. 9.1.14 + 3.2 = ? (a) 4.34 (b) 4.44 (c) 4.24 (d) 1.46
  10. 10.If x/6 + 10 = 19, what is x? (a) 174 (b) 54 (c) 9 (d) 104
  11. 11.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 480 min (b) 44 min (c) 120 min (d) 4 min
  12. 12.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 11 days (c) 10 days (d) 9 days
  13. 13.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  14. 14.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  15. 15.What is 5% of 320? (a) 32 (b) 160 (c) 16 (d) 304
  16. 16.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 84%
  17. 17.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 4 days (c) 10 days (d) 9 days
  18. 18.5.68 + 2.1 = ? (a) 7.78 (b) 5.89 (c) 7.88 (d) 7.68
  19. 19.Which fraction is greater: 1/10 or 2/3? (a) 1/10 (b) 2/3 (c) They are equal
  20. 20.A teacher has 50 pencils and 60 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 300 (b) 10 (c) 50 (d) 5
  21. 21.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  22. 22.What is the smallest number you must add to 411 to make it divisible by 12? (a) 8 (b) 3 (c) 10 (d) 9
  23. 23.Which fraction is greater: 2/5 or 9/11? (a) They are equal (b) 9/11 (c) 2/5
  24. 24.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 15 min (c) 54 min (d) 3 min
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  26. 26.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 5 cm (c) 10 cm (d) 6 cm
  27. 27.What is 30% of 280? (a) 84 (b) 196 (c) 840 (d) 168
  28. 28.If 15 January is a Saturday, what day of the week is 27 January? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  29. 29.What is the simple interest on ₹3000 at 5% per year for 4 years? (a) ₹3600 (b) ₹600 (c) ₹150 (d) ₹750
  30. 30.A teacher has 15 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 15 (c) 3 (d) 12
  31. 31.Which of these numbers is divisible by 11? (a) 8122 (b) 8129 (c) 8136 (d) 8142
  32. 32.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  33. 33.If 27 September is a Sunday, what day of the week is 20 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  34. 34.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 33 min (c) 252 min (d) 84 min
  35. 35.Which fraction is greater: 7/11 or 3/10? (a) 3/10 (b) 7/11 (c) They are equal
  36. 36.What is 5/9 of 90? (a) 10 (b) 40 (c) 50 (d) 60
  37. 37.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 11 days (c) 3 days (d) 21 days
  38. 38.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  39. 39.In how many years will ₹3500 earn ₹1400 simple interest at 8% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  40. 40.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 76 (b) 4 (c) 64 (d) 65

Answer key

  1. Wednesday
  2. 14/15
  3. 4
  4. 8
  5. 1
  6. 11
  7. 22
  8. 6.36
  9. 4.34
  10. 54
  11. 120 min
  12. 10 days
  13. 18 sq cm
  14. 49 sq cm
  15. 16
  16. 10%
  17. 9 days
  18. 7.78
  19. 2/3
  20. 10
  21. 36 sq cm
  22. 9
  23. 9/11
  24. 18 min
  25. 196 sq cm
  26. 5 cm
  27. 84
  28. Thursday
  29. ₹600
  30. 3
  31. 8129
  32. 169 sq cm
  33. Tuesday
  34. 84 min
  35. 7/11
  36. 50
  37. 21 days
  38. 60 sq cm
  39. 5 years
  40. 64

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