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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 623 · 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. 1.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 11 days (c) 10 days (d) 8 days
  2. 2.Every pair follows the same rule: 2 : 6, 3 : 8, 5 : 12. What is 9 : ? (a) 21 (b) 20 (c) 13 (d) 27
  3. 3.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 10 days (d) 3 days
  4. 4.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 6 cm (c) 55 cm (d) 12 cm
  5. 5.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 12 (d) 4
  6. 6.Which is the greatest: 0.55, 0.5, 0.018, 0.425? (a) 0.55 (b) 0.5 (c) 0.018 (d) 0.425
  7. 7.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 2 days (d) 3 days
  8. 8.What is 3/4 of 12? (a) 12 (b) 9 (c) 10 (d) 3
  9. 9.1/3 + 2/3 = ? (a) 4/3 (b) 1 (c) 2/3 (d) 1/2
  10. 10.Every pair follows the same rule: 4 : 28, 6 : 42, 8 : 56. What is 2 : ? (a) 15 (b) 14 (c) 26 (d) 13
  11. 11.Every pair follows the same rule: 3 : 9, 4 : 16, 8 : 64. What is 6 : ? (a) 18 (b) 40 (c) 36 (d) 12
  12. 12.What is the average of 66, 50, 78, 54 and 77? (a) 67 (b) 65 (c) 66 (d) 64
  13. 13.If 8x + 4 = 7x + 12, what is x? (a) 10 (b) 9 (c) 16 (d) 8
  14. 14.If 4x + 28 = 48, what is x? (a) 19 (b) 20 (c) 6 (d) 5
  15. 15.If 5 kites cost ₹110, how much do 11 kites cost? (a) ₹242 (b) ₹264 (c) ₹1210 (d) ₹116
  16. 16.If 4 kites cost ₹64, how much do 10 kites cost? (a) ₹70 (b) ₹176 (c) ₹640 (d) ₹160
  17. 17.If 17 May is a Monday, what day of the week is 7 June? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  18. 18.If 9x + 13 = 6x + 43, what is x? (a) 10 (b) 11 (c) 2 (d) 12
  19. 19.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 4 days (d) 2 days
  20. 20.Every pair follows the same rule: 4 : 20, 8 : 40, 9 : 45. What is 5 : ? (a) 25 (b) 26 (c) 21 (d) 24
  21. 21.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 15% (b) 10% (c) 30% (d) 5%
  22. 22.Which fraction is greater: 2/3 or 4/11? (a) 4/11 (b) 2/3 (c) They are equal
  23. 23.Which is the smallest: 0.062, 0.5, 0.58, 0.478? (a) 0.062 (b) 0.5 (c) 0.58 (d) 0.478
  24. 24.Today is Saturday. What day of the week will it be after 13 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  25. 25.Today is Sunday. What day of the week will it be after 91 days? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 22 sq cm (d) 35 sq cm
  27. 27.5.71 + 6.9 = ? (a) 12.71 (b) 6.4 (c) 12.51 (d) 12.61
  28. 28.What is 5% of 540? (a) 513 (b) 27 (c) 54 (d) 270
  29. 29.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 13 days (c) 14 days (d) 9 days
  30. 30.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 15 cm (c) 26 cm (d) 44 cm
  31. 31.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 38 cm (c) 70 cm (d) 19 cm
  32. 32.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 24 (c) 10 (d) 13
  33. 33.Every pair follows the same rule: 2 : 1, 6 : 17, 8 : 25. What is 3 : ? (a) 7 (b) 5 (c) 4 (d) 6
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 144 cm (d) 52 cm
  35. 35.What is 2/7 of 28? (a) 12 (b) 20 (c) 4 (d) 8
  36. 36.Every pair follows the same rule: 2 : 3, 4 : 7, 5 : 9. What is 3 : ? (a) 5 (b) 6 (c) 7 (d) 4
  37. 37.The simple interest on ₹6500 for 3 years is ₹975. What is the rate per year? (a) 15% (b) 6% (c) 4% (d) 5%
  38. 38.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 22 sq cm (d) 24 sq cm
  40. 40.1/3 + 4/5 = ? (a) 17/15 (b) 16/15 (c) 5/8 (d) 6/5

Answer key

  1. 10 days
  2. 20
  3. 10 days
  4. 6 cm
  5. 4
  6. 0.55
  7. 3 days
  8. 9
  9. 1
  10. 14
  11. 36
  12. 65
  13. 8
  14. 5
  15. ₹242
  16. ₹160
  17. Monday
  18. 10
  19. 3 days
  20. 25
  21. 10%
  22. 2/3
  23. 0.062
  24. Friday
  25. Sunday
  26. 28 sq cm
  27. 12.61
  28. 27
  29. 14 days
  30. 30 cm
  31. 38 cm
  32. 12
  33. 5
  34. 52 cm
  35. 8
  36. 5
  37. 5%
  38. 169 sq cm
  39. 24 sq cm
  40. 17/15

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