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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 149 · 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 9 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 18 days (c) 12 days (d) 6 days
  2. 2.If x/6 + 4 = 12, what is x? (a) 8 (b) 96 (c) 68 (d) 48
  3. 3.If 5x + 17 = x + 37, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  4. 4.1.77 + 3.3 = ? (a) 5.17 (b) 5.07 (c) 2.1 (d) 4.97
  5. 5.If 8x + 20 = 44, what is x? (a) 24 (b) 4 (c) 8 (d) 3
  6. 6.What is the average of 42, 31, 24 and 59? (a) 38 (b) 39 (c) 40 (d) 52
  7. 7.If 7 March is a Tuesday, what day of the week is 21 March? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  8. 8.Which is the greatest: 0.055, 0.547, 0.68, 0.6? (a) 0.055 (b) 0.547 (c) 0.68 (d) 0.6
  9. 9.7/9 + 1/2 = ? (a) 23/18 (b) 11/9 (c) 8/11 (d) 4/3
  10. 10.What is the remainder when 414 is divided by 10? (a) 5 (b) 3 (c) 4 (d) 6
  11. 11.What is 1/2 of 10? (a) 10 (b) 5 (c) 4 (d) 6
  12. 12.A bag marked ₹660 is sold at a 40% discount. What is its selling price? (a) ₹620 (b) ₹924 (c) ₹264 (d) ₹396
  13. 13.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 1 cm
  14. 14.Which fraction is greater: 1/7 or 1/3? (a) They are equal (b) 1/7 (c) 1/3
  15. 15.What is the average of all the whole numbers from 54 to 84? (a) 30 (b) 70 (c) 15 (d) 69
  16. 16.Two ribbons are 66 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 462 cm (c) 66 cm (d) 1 cm
  17. 17.Every pair follows the same rule: 3 : 10, 4 : 13, 7 : 22. What is 2 : ? (a) 6 (b) 9 (c) 7 (d) 8
  18. 18.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 3 cm (d) 4 cm
  19. 19.Every pair follows the same rule: 2 : 4, 5 : 25, 7 : 49. What is 8 : ? (a) 16 (b) 61 (c) 64 (d) 10
  20. 20.A teacher has 60 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 60 (c) 420 (d) 10
  21. 21.What is the units digit of 9^52? (a) 1 (b) 2 (c) 9 (d) 0
  22. 22.Every pair follows the same rule: 2 : 9, 5 : 24, 8 : 39. What is 6 : ? (a) 30 (b) 13 (c) 29 (d) 28
  23. 23.4 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
  24. 24.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹32 (b) ₹256 (c) ₹208 (d) ₹160
  25. 25.Two ribbons are 18 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 54 cm (b) 18 cm (c) 3 cm (d) 9 cm
  26. 26.What is the average of 51, 65, 65 and 59? (a) 80 (b) 61 (c) 59 (d) 60
  27. 27.7 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 17 days (d) 8 days
  28. 28.If 8x + 9 = 7x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 20
  29. 29.Every pair follows the same rule: 2 : 14, 4 : 28, 5 : 35. What is 6 : ? (a) 41 (b) 43 (c) 42 (d) 18
  30. 30.Today is Wednesday. What day of the week will it be after 15 days? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  31. 31.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 35% (b) 48% (c) 25% (d) 30%
  32. 32.If 9 notebooks cost ₹144, how much do 11 notebooks cost? (a) ₹176 (b) ₹192 (c) ₹146 (d) ₹1584
  33. 33.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 35 cm (d) 24 cm
  34. 34.What is the units digit of 7^24? (a) 9 (b) 7 (c) 3 (d) 1
  35. 35.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 96 cm
  36. 36.2.61 + 5.9 = ? (a) 3.2 (b) 8.51 (c) 8.41 (d) 8.61
  37. 37.Which of these numbers is divisible by 6? (a) 4389 (b) 4380 (c) 4377 (d) 4383
  38. 38.Which of these numbers is divisible by 4? (a) 852 (b) 851 (c) 858 (d) 853
  39. 39.If x/5 + 5 = 9, what is x? (a) 40 (b) 70 (c) 4 (d) 20
  40. 40.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 12 (d) 13

Answer key

  1. 18 days
  2. 48
  3. 5
  4. 5.07
  5. 3
  6. 39
  7. Tuesday
  8. 0.68
  9. 23/18
  10. 4
  11. 5
  12. ₹396
  13. 2 cm
  14. 1/3
  15. 69
  16. 11 cm
  17. 7
  18. 2 cm
  19. 64
  20. 10
  21. 1
  22. 29
  23. 10 days
  24. ₹256
  25. 9 cm
  26. 60
  27. 7 days
  28. 2
  29. 42
  30. Thursday
  31. 30%
  32. ₹176
  33. 24 cm
  34. 1
  35. 7 cm
  36. 8.51
  37. 4380
  38. 852
  39. 20
  40. 12

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