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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 549 · 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.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 60 cm (c) 24 cm (d) 6 cm
  2. 2.₹9000 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹13050 (b) ₹9810 (c) ₹3240 (d) ₹12240
  3. 3.What is 1/2 of 14? (a) 14 (b) 8 (c) 6 (d) 7
  4. 4.1/5 + 3/7 = ? (a) 22/35 (b) 3/5 (c) 1/3 (d) 23/35
  5. 5.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 7 days (d) 15 days
  6. 6.If 2x − 4 = 4, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  7. 7.₹30 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹24 (b) ₹15 (c) ₹30 (d) ₹6
  8. 8.What is 15% of 1000? (a) 850 (b) 150 (c) 300 (d) 1500
  9. 9.If 2 notebooks cost ₹48, how much do 4 notebooks cost? (a) ₹120 (b) ₹96 (c) ₹50 (d) ₹192
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  11. 11.Which fraction is greater: 3/5 or 2/9? (a) 2/9 (b) They are equal (c) 3/5
  12. 12.What is the value of the digit 5 in 58.126? (a) 0.5 (b) 0.05 (c) 50 (d) 5
  13. 13.What is the average of 34, 8, 19 and 19? (a) 20 (b) 21 (c) 22 (d) 19
  14. 14.Which is the greatest: 0.628, 0.062, 0.71, 0.7? (a) 0.628 (b) 0.062 (c) 0.71 (d) 0.7
  15. 15.What is the average of all the whole numbers from 12 to 38? (a) 24 (b) 25 (c) 26 (d) 13
  16. 16.If 28 April is a Friday, what day of the week is 18 May? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  17. 17.Two ribbons are 6 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 18 cm (d) 1 cm
  18. 18.Every pair follows the same rule: 5 : 26, 7 : 50, 9 : 82. What is 6 : ? (a) 27 (b) 38 (c) 34 (d) 37
  19. 19.What is the value of the digit 8 in 78.251? (a) 0.8 (b) 8 (c) 80 (d) 0.08
  20. 20.Which is the smallest: 0.22, 0.061, 0.2, 0.176? (a) 0.22 (b) 0.061 (c) 0.2 (d) 0.176
  21. 21.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 28 (d) 60
  22. 22.If 9x − 37 = 35, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  23. 23.Which fraction is greater: 2/3 or 5/9? (a) They are equal (b) 2/3 (c) 5/9
  24. 24.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 12 (b) 27 (c) 3 (d) 9
  25. 25.5.79 + 6.9 = ? (a) 12.69 (b) 6.48 (c) 12.79 (d) 12.59
  26. 26.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 6 (b) 18 (c) 40 (d) 7
  27. 27.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 6 (c) 32 (d) 53
  28. 28.Two ribbons are 30 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 30 cm (c) 50 cm (d) 5 cm
  29. 29.If 5x + 6 = 3x + 8, what is x? (a) 7 (b) 2 (c) 1 (d) 3
  30. 30.What is the units digit of 3^48? (a) 1 (b) 9 (c) 3 (d) 7
  31. 31.If 5 pens cost ₹125, how much do 7 pens cost? (a) ₹200 (b) ₹127 (c) ₹875 (d) ₹175
  32. 32.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 51 cm (b) 4 cm (c) 5 cm (d) 8 cm
  33. 33.What is the remainder when 437 is divided by 6? (a) 5 (b) 3 (c) 4 (d) 1
  34. 34.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 2 : ? (a) 8 (b) 5 (c) 6 (d) 4
  35. 35.Two ribbons are 63 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 63 cm (b) 504 cm (c) 3 cm (d) 9 cm
  36. 36.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 18% (b) 20% (c) 10% (d) 15%
  37. 37.₹286 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹143 (b) ₹234 (c) ₹52 (d) ₹26
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  39. 39.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 58 (c) 32 (d) 30
  40. 40.What is the units digit of 8^26? (a) 4 (b) 6 (c) 8 (d) 2

Answer key

  1. 12 cm
  2. ₹12240
  3. 7
  4. 22/35
  5. 15 days
  6. 4
  7. ₹24
  8. 150
  9. ₹96
  10. 81 sq cm
  11. 3/5
  12. 50
  13. 20
  14. 0.71
  15. 25
  16. Thursday
  17. 3 cm
  18. 37
  19. 8
  20. 0.061
  21. 60
  22. 8
  23. 2/3
  24. 27
  25. 12.69
  26. 6
  27. 32
  28. 10 cm
  29. 1
  30. 1
  31. ₹175
  32. 4 cm
  33. 5
  34. 4
  35. 9 cm
  36. 15%
  37. ₹234
  38. 121 sq cm
  39. 58
  40. 4

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