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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 590 · 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.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 30 (c) 25 (d) 60
  2. 2.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 33 (c) 80 (d) 105
  3. 3.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 43 (c) 44 (d) 99
  4. 4.1/2 + 1/9 = ? (a) 5/9 (b) 2/11 (c) 2/3 (d) 11/18
  5. 5.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  6. 6.Two ribbons are 21 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 28 cm (c) 21 cm (d) 7 cm
  7. 7.What is the units digit of 2^29? (a) 8 (b) 2 (c) 6 (d) 4
  8. 8.Which is the smallest: 0.42, 0.017, 0.4, 0.368? (a) 0.42 (b) 0.017 (c) 0.4 (d) 0.368
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  10. 10.Which fraction is greater: 3/8 or 3/4? (a) 3/8 (b) They are equal (c) 3/4
  11. 11.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 41 cm (d) 119 cm
  12. 12.What is the units digit of 2^10? (a) 8 (b) 4 (c) 2 (d) 6
  13. 13.Two ribbons are 20 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 100 cm (c) 5 cm (d) 1 cm
  14. 14.Every pair follows the same rule: 2 : 3, 7 : 48, 9 : 80. What is 3 : ? (a) 4 (b) 8 (c) 7 (d) 9
  15. 15.If 2x + 8 = 38, what is x? (a) 23 (b) 30 (c) 16 (d) 15
  16. 16.Which fraction is greater: 1/5 or 7/12? (a) 1/5 (b) 7/12 (c) They are equal
  17. 17.The simple interest on ₹5500 for 3 years is ₹825. What is the rate per year? (a) 5% (b) 6% (c) 15% (d) 4%
  18. 18.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 4 min (c) 560 min (d) 48 min
  19. 19.What is 40% of 640? (a) 384 (b) 2560 (c) 256 (d) 512
  20. 20.Which of these numbers is divisible by 8? (a) 5699 (b) 5713 (c) 5709 (d) 5704
  21. 21.What is the units digit of 3^23? (a) 9 (b) 7 (c) 1 (d) 3
  22. 22.Two ribbons are 18 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 45 cm (b) 3 cm (c) 18 cm (d) 9 cm
  23. 23.What is the average of 50, 53, 65, 60, 58 and 32? (a) 52 (b) 53 (c) 54 (d) 55
  24. 24.3/5 + 1/5 = ? (a) 1 (b) 3/5 (c) 2/5 (d) 4/5
  25. 25.Two ribbons are 12 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) 3 cm (b) 12 cm (c) 1 cm (d) 15 cm
  26. 26.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 60% (b) 35% (c) 25% (d) 30%
  27. 27.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 27% (b) 6% (c) 10% (d) 5%
  28. 28.Every pair follows the same rule: 4 : 17, 7 : 20, 8 : 21. What is 9 : ? (a) 23 (b) 21 (c) 22 (d) 24
  29. 29.What is the remainder when 241 is divided by 11? (a) 8 (b) 10 (c) 1 (d) 9
  30. 30.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 6 min (c) 720 min (d) 54 min
  31. 31.Which fraction is greater: 10/11 or 2/9? (a) 2/9 (b) 10/11 (c) They are equal
  32. 32.6 workers can build a wall in 15 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 11 days (c) 45 days (d) 19 days
  33. 33.What is the simple interest on ₹6500 at 12% per year for 2 years? (a) ₹1560 (b) ₹2340 (c) ₹8060 (d) ₹780
  34. 34.If 3 notebooks cost ₹66, how much do 4 notebooks cost? (a) ₹110 (b) ₹88 (c) ₹67 (d) ₹264
  35. 35.Which of these numbers is divisible by 6? (a) 3865 (b) 3861 (c) 3864 (d) 3871
  36. 36.The simple interest on ₹3500 for 4 years is ₹980. What is the rate per year? (a) 8% (b) 28% (c) 7% (d) 6%
  37. 37.If 5x + 11 = 2x + 26, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  38. 38.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 60 cm (c) 14 cm (d) 8 cm
  39. 39.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 30 min (c) 16 min (d) 2 min
  40. 40.5.18 + 2.5 = ? (a) 7.58 (b) 7.68 (c) 5.43 (d) 7.78

Answer key

  1. 30
  2. 105
  3. 43
  4. 11/18
  5. 27 sq cm
  6. 7 cm
  7. 2
  8. 0.017
  9. 100 sq cm
  10. 3/4
  11. 48 cm
  12. 4
  13. 5 cm
  14. 8
  15. 15
  16. 7/12
  17. 5%
  18. 140 min
  19. 256
  20. 5704
  21. 7
  22. 9 cm
  23. 53
  24. 4/5
  25. 3 cm
  26. 30%
  27. 5%
  28. 22
  29. 10
  30. 120 min
  31. 10/11
  32. 45 days
  33. ₹1560
  34. ₹88
  35. 3864
  36. 7%
  37. 5
  38. 7 cm
  39. 30 min
  40. 7.68

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