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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 503 · 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.₹88 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹40 (b) ₹8 (c) ₹44 (d) ₹48
  2. 2.If 7x + 20 = 69, what is x? (a) 6 (b) 8 (c) 49 (d) 7
  3. 3.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 8 cm (c) 5 cm (d) 4 cm
  4. 4.What is the value of the digit 7 in 32.147? (a) 7 (b) 0.07 (c) 0.7 (d) 0.007
  5. 5.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 10 (c) 5 (d) 1
  6. 6.What is the simple interest on ₹9000 at 4% per year for 3 years? (a) ₹360 (b) ₹1080 (c) ₹1440 (d) ₹10080
  7. 7.What is the average of 67, 47, 63, 66, 47 and 64? (a) 58 (b) 60 (c) 61 (d) 59
  8. 8.Every pair follows the same rule: 6 : 39, 7 : 52, 8 : 67. What is 2 : ? (a) 35 (b) 8 (c) 7 (d) 6
  9. 9.What is the average of all the whole numbers from 7 to 43? (a) 25 (b) 18 (c) 26 (d) 36
  10. 10.What is 2/5 of 25? (a) 11 (b) 10 (c) 15 (d) 5
  11. 11.If 23 November is a Tuesday, what day of the week is 1 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  12. 12.If 5 October is a Saturday, what day of the week is 14 October? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  13. 13.What is 6/7 of 21? (a) 21 (b) 3 (c) 18 (d) 19
  14. 14.Every pair follows the same rule: 2 : 2, 8 : 14, 9 : 16. What is 4 : ? (a) 7 (b) 5 (c) 6 (d) 4
  15. 15.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 52 cm (c) 6 cm (d) 10 cm
  16. 16.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹360 (b) ₹280 (c) ₹40 (d) ₹200
  17. 17.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 28 (d) 8
  18. 18.₹3500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹5250 (b) ₹4900 (c) ₹1400 (d) ₹3850
  19. 19.Every pair follows the same rule: 3 : 12, 5 : 20, 9 : 36. What is 4 : ? (a) 15 (b) 13 (c) 16 (d) 17
  20. 20.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 22 (c) 11 (d) 33
  21. 21.If 3x − 10 = 35, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  22. 22.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  23. 23.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 8 days (c) 7 days (d) 5 days
  24. 24.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  25. 25.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 30 cm (c) 23 cm (d) 26 cm
  26. 26.What is the average of 60, 46, 51, 52 and 26? (a) 48 (b) 46 (c) 49 (d) 47
  27. 27.2/9 + 2/3 = ? (a) 1 (b) 7/9 (c) 1/3 (d) 8/9
  28. 28.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 300 (b) 55 (c) 750 (d) 150
  29. 29.5/9 + 1/4 = ? (a) 29/36 (b) 5/6 (c) 7/9 (d) 6/13
  30. 30.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 40 (c) 14 (d) 20
  31. 31.What is the value of the digit 5 in 54.376? (a) 0.5 (b) 0.05 (c) 5 (d) 50
  32. 32.What is the smallest number you must add to 97 to make it divisible by 9? (a) 1 (b) 2 (c) 3 (d) 7
  33. 33.If 29 November is a Thursday, what day of the week is 6 December? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  34. 34.The simple interest on ₹8000 for 3 years is ₹480. What is the rate per year? (a) 1% (b) 3% (c) 2% (d) 6%
  35. 35.Every pair follows the same rule: 2 : 4, 5 : 10, 9 : 18. What is 4 : ? (a) 9 (b) 6 (c) 7 (d) 8
  36. 36.What is the average of 39, 46, 55 and 52? (a) 64 (b) 49 (c) 47 (d) 48
  37. 37.Which of these numbers is divisible by 3? (a) 557 (b) 550 (c) 552 (d) 553
  38. 38.A teacher has 20 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 8 (c) 2 (d) 4
  39. 39.Which is the greatest: 0.279, 0.39, 0.3, 0.047? (a) 0.279 (b) 0.39 (c) 0.3 (d) 0.047
  40. 40.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) 30 min (b) 3 min (c) 21 min (d) 90 min

Answer key

  1. ₹48
  2. 7
  3. 4 cm
  4. 0.007
  5. 5
  6. ₹1080
  7. 59
  8. 7
  9. 25
  10. 10
  11. Wednesday
  12. Monday
  13. 18
  14. 6
  15. 5 cm
  16. ₹360
  17. 4
  18. ₹4900
  19. 16
  20. 11
  21. 15
  22. 11 cm
  23. 7 days
  24. 18 cm
  25. 26 cm
  26. 47
  27. 8/9
  28. 150
  29. 29/36
  30. 20
  31. 50
  32. 2
  33. Thursday
  34. 2%
  35. 8
  36. 48
  37. 552
  38. 4
  39. 0.39
  40. 30 min

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