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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 633 · 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.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 6 : ? (a) 12 (b) 38 (c) 18 (d) 36
  2. 2.Every pair follows the same rule: 2 : 17, 4 : 25, 6 : 33. What is 3 : ? (a) 18 (b) 20 (c) 22 (d) 21
  3. 3.What is the average of 32, 28, 35, 27, 22 and 72? (a) 38 (b) 36 (c) 35 (d) 37
  4. 4.What is the units digit of 9^43? (a) 9 (b) 7 (c) 8 (d) 1
  5. 5.What is the value of the digit 6 in 62.837? (a) 6 (b) 0.06 (c) 60 (d) 0.6
  6. 6.What is the average of all the whole numbers from 7 to 37? (a) 15 (b) 30 (c) 22 (d) 23
  7. 7.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 13 cm (d) 12 cm
  8. 8.Which fraction is greater: 3/5 or 5/9? (a) They are equal (b) 5/9 (c) 3/5
  9. 9.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 35% (b) 45% (c) 88% (d) 40%
  11. 11.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  12. 12.What is the units digit of 8^22? (a) 2 (b) 6 (c) 4 (d) 8
  13. 13.What is 2/3 of 6? (a) 2 (b) 4 (c) 5 (d) 6
  14. 14.If 2x + 24 = 30, what is x? (a) 3 (b) 6 (c) 4 (d) 27
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 24 cm (d) 12 cm
  16. 16.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 5 : ? (a) 65 (b) 125 (c) 126 (d) 5
  17. 17.7.37 + 9.5 = ? (a) 16.87 (b) 8.32 (c) 16.97 (d) 16.77
  18. 18.What is 2/3 of 12? (a) 4 (b) 9 (c) 8 (d) 12
  19. 19.₹6000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹720 (b) ₹6960 (c) ₹6240 (d) ₹6720
  20. 20.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 36 (b) 320 (c) 160 (d) 80
  21. 21.1.38 + 2.9 = ? (a) 4.38 (b) 1.67 (c) 4.28 (d) 4.18
  22. 22.Which fraction is greater: 2/3 or 8/11? (a) 2/3 (b) They are equal (c) 8/11
  23. 23.Which fraction is greater: 6/7 or 2/3? (a) They are equal (b) 2/3 (c) 6/7
  24. 24.What is the smallest number you must add to 270 to make it divisible by 8? (a) 6 (b) 3 (c) 2 (d) 1
  25. 25.4/6 + 1/2 = ? (a) 5/8 (b) 4/3 (c) 7/6 (d) 1
  26. 26.What is the value of the digit 2 in 82.713? (a) 2 (b) 0.2 (c) 0.02 (d) 20
  27. 27.If 9x − 7 = 101, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  28. 28.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 9 : ? (a) 18 (b) 11 (c) 81 (d) 75
  29. 29.If x/4 + 4 = 16, what is x? (a) 12 (b) 80 (c) 60 (d) 48
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  31. 31.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 15 days (c) 13 days (d) 22 days
  32. 32.What is the average of 36, 58, 52 and 50? (a) 48 (b) 51 (c) 49 (d) 50
  33. 33.What is 25% of 860? (a) 645 (b) 2150 (c) 430 (d) 215
  34. 34.What is the average of 77, 54, 72 and 49? (a) 62 (b) 84 (c) 63 (d) 64
  35. 35.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 5 : ? (a) 25 (b) 6 (c) 24 (d) 22
  36. 36.In how many years will ₹1000 earn ₹350 simple interest at 7% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  37. 37.Which fraction is greater: 1/3 or 1/4? (a) 1/3 (b) 1/4 (c) They are equal
  38. 38.If 9x + 19 = 2x + 96, what is x? (a) 13 (b) 7 (c) 11 (d) 12
  39. 39.Two ribbons are 80 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 720 cm (b) 5 cm (c) 10 cm (d) 80 cm
  40. 40.A teacher has 14 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 35 (c) 7 (d) 1

Answer key

  1. 36
  2. 21
  3. 36
  4. 9
  5. 60
  6. 22
  7. 12 cm
  8. 3/5
  9. 126 sq cm
  10. 40%
  11. 12 sq cm
  12. 4
  13. 4
  14. 3
  15. 24 cm
  16. 125
  17. 16.87
  18. 8
  19. ₹6720
  20. 80
  21. 4.28
  22. 8/11
  23. 6/7
  24. 2
  25. 7/6
  26. 2
  27. 12
  28. 81
  29. 48
  30. 100 sq cm
  31. 21 days
  32. 49
  33. 215
  34. 63
  35. 24
  36. 5 years
  37. 1/3
  38. 11
  39. 10 cm
  40. 7

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