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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 647 · 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 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) 1 cm (b) 6 cm (c) 3 cm (d) 18 cm
  2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 26 (c) 85 (d) 84
  3. 3.If x/2 + 1 = 10, what is x? (a) 18 (b) 22 (c) 19 (d) 9
  4. 4.If x/6 + 9 = 21, what is x? (a) 12 (b) 72 (c) 180 (d) 117
  5. 5.What is the average of 25, 24, 18, 29, 33 and 21? (a) 24 (b) 26 (c) 25 (d) 30
  6. 6.5/9 + 4/9 = ? (a) 1/2 (b) 10/9 (c) 8/9 (d) 1
  7. 7.Which fraction is greater: 1/3 or 1/5? (a) 1/5 (b) They are equal (c) 1/3
  8. 8.If 15 May is a Tuesday, what day of the week is 27 May? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  9. 9.A teacher has 16 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 8 (d) 40
  10. 10.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 16 (d) 4
  11. 11.If 3x + 3 = 45, what is x? (a) 42 (b) 16 (c) 14 (d) 15
  12. 12.What is 1/4 of 40? (a) 20 (b) 11 (c) 10 (d) 30
  13. 13.Every pair follows the same rule: 6 : 28, 7 : 33, 8 : 38. What is 3 : ? (a) 13 (b) 12 (c) 14 (d) 25
  14. 14.If 5x − 25 = 10, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  15. 15.If 5x + 3 = 4x + 4, what is x? (a) 1 (b) 7 (c) 3 (d) 2
  16. 16.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 27 days (d) 15 days
  17. 17.In how many years will ₹6500 earn ₹1300 simple interest at 4% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  18. 18.A teacher has 14 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 14 (c) 2 (d) 1
  19. 19.Which fraction is greater: 4/5 or 6/11? (a) 4/5 (b) 6/11 (c) They are equal
  20. 20.Every pair follows the same rule: 2 : 8, 4 : 20, 5 : 29. What is 8 : ? (a) 68 (b) 14 (c) 32 (d) 56
  21. 21.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 10 cm (d) 11 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  23. 23.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 5 min (c) 250 min (d) 35 min
  24. 24.2/4 + 1/8 = ? (a) 5/8 (b) 3/4 (c) 1/4 (d) 1/2
  25. 25.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 30 min (c) 3 min (d) 21 min
  26. 26.What is the smallest number you must add to 132 to make it divisible by 5? (a) 1 (b) 4 (c) 3 (d) 2
  27. 27.Which is the greatest: 0.512, 0.63, 0.021, 0.6? (a) 0.512 (b) 0.63 (c) 0.021 (d) 0.6
  28. 28.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹46 (b) ₹230 (c) ₹184 (d) ₹207
  29. 29.₹1500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹1605 (b) ₹420 (c) ₹2025 (d) ₹1920
  30. 30.If 2x − 15 = 15, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  31. 31.Every pair follows the same rule: 4 : 10, 6 : 12, 9 : 15. What is 3 : ? (a) 9 (b) 8 (c) 10 (d) 11
  32. 32.Every pair follows the same rule: 4 : 14, 7 : 47, 8 : 62. What is 3 : ? (a) 8 (b) 6 (c) 7 (d) 13
  33. 33.4/6 + 3/4 = ? (a) 3/2 (b) 7/10 (c) 4/3 (d) 17/12
  34. 34.1/3 + 1/8 = ? (a) 5/12 (b) 11/24 (c) 2/11 (d) 1/2
  35. 35.1/6 + 2/9 = ? (a) 1/3 (b) 7/18 (c) 4/9 (d) 1/5
  36. 36.Every pair follows the same rule: 5 : 24, 6 : 25, 9 : 28. What is 7 : ? (a) 26 (b) 25 (c) 28 (d) 27
  37. 37.What is the average of 57, 44, 68, 39 and 62? (a) 56 (b) 55 (c) 53 (d) 54
  38. 38.Today is Sunday. What day of the week will it be after 53 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  39. 39.What is 10% of 960? (a) 192 (b) 96 (c) 960 (d) 864
  40. 40.If 29 April is a Friday, what day of the week is 3 May? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday

Answer key

  1. 3 cm
  2. 84
  3. 18
  4. 72
  5. 25
  6. 1
  7. 1/3
  8. Sunday
  9. 8
  10. 4
  11. 14
  12. 10
  13. 13
  14. 7
  15. 1
  16. 3 days
  17. 5 years
  18. 2
  19. 4/5
  20. 68
  21. 10 cm
  22. 144 sq cm
  23. 50 min
  24. 5/8
  25. 30 min
  26. 3
  27. 0.63
  28. ₹230
  29. ₹1920
  30. 15
  31. 9
  32. 7
  33. 17/12
  34. 11/24
  35. 7/18
  36. 26
  37. 54
  38. Thursday
  39. 96
  40. Tuesday

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