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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 694 · 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 1/4 of 20? (a) 5 (b) 10 (c) 15 (d) 6
  2. 2.What is the average of all the whole numbers from 36 to 58? (a) 22 (b) 48 (c) 11 (d) 47
  3. 3.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 50 (b) 35 (c) 100 (d) 250
  4. 4.Which is the greatest: 0.47, 0.039, 0.4, 0.326? (a) 0.47 (b) 0.039 (c) 0.4 (d) 0.326
  5. 5.If 7x + 13 = 6x + 21, what is x? (a) 8 (b) 34 (c) 10 (d) 9
  6. 6.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 55 min (d) 750 min
  7. 7.In how many years will ₹3000 earn ₹420 simple interest at 7% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
  8. 8.The simple interest on ₹9000 for 3 years is ₹2430. What is the rate per year? (a) 27% (b) 10% (c) 8% (d) 9%
  9. 9.Every pair follows the same rule: 2 : 16, 5 : 19, 7 : 21. What is 4 : ? (a) 17 (b) 19 (c) 18 (d) 32
  10. 10.A teacher has 12 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 4 (c) 48 (d) 2
  11. 11.2/3 + 1/4 = ? (a) 3/7 (b) 5/6 (c) 11/12 (d) 1
  12. 12.What is the average of all the whole numbers from 39 to 55? (a) 8 (b) 48 (c) 47 (d) 16
  13. 13.Every pair follows the same rule: 3 : 6, 5 : 10, 7 : 14. What is 9 : ? (a) 12 (b) 19 (c) 18 (d) 17
  14. 14.If 8x + 14 = 102, what is x? (a) 12 (b) 11 (c) 10 (d) 88
  15. 15.Which fraction is greater: 6/11 or 2/7? (a) They are equal (b) 6/11 (c) 2/7
  16. 16.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 10% (b) 42% (c) 5% (d) 15%
  17. 17.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  18. 18.Which fraction is greater: 1/10 or 7/8? (a) 7/8 (b) They are equal (c) 1/10
  19. 19.Today is Friday. What day of the week will it be after 57 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
  20. 20.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 33 (c) 7 (d) 23
  21. 21.What is the average of all the whole numbers from 56 to 72? (a) 8 (b) 65 (c) 64 (d) 16
  22. 22.If 9x − 6 = 111, what is x? (a) 117 (b) 13 (c) 12 (d) 14
  23. 23.₹90 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹36 (b) ₹18 (c) ₹45 (d) ₹54
  24. 24.Which is the greatest: 0.728, 0.056, 0.87, 0.8? (a) 0.728 (b) 0.056 (c) 0.87 (d) 0.8
  25. 25.Two ribbons are 24 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 168 cm (b) 4 cm (c) 24 cm (d) 2 cm
  26. 26.If 30 January is a Saturday, what day of the week is 10 February? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  27. 27.What is the smallest number you must add to 808 to make it divisible by 12? (a) 9 (b) 7 (c) 4 (d) 8
  28. 28.Which of these numbers is divisible by 8? (a) 7073 (b) 7064 (c) 7059 (d) 7070
  29. 29.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
  30. 30.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 29 (b) 86 (c) 41 (d) 30
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
  32. 32.If 2 March is a Saturday, what day of the week is 13 March? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  33. 33.4 workers can build a wall in 15 days. How many days will 12 workers take, working at the same speed? (a) 23 days (b) 7 days (c) 5 days (d) 45 days
  34. 34.₹1000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹320 (b) ₹1320 (c) ₹1080 (d) ₹1400
  35. 35.What is the units digit of 2^26? (a) 2 (b) 6 (c) 8 (d) 4
  36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 72 (b) 216 (c) 30 (d) 36
  37. 37.What is the units digit of 8^28? (a) 6 (b) 8 (c) 4 (d) 2
  38. 38.9.99 + 4.1 = ? (a) 14.19 (b) 13.99 (c) 14.09 (d) 10.4
  39. 39.7.97 + 9.1 = ? (a) 17.17 (b) 8.88 (c) 17.07 (d) 16.97
  40. 40.Which of these numbers is divisible by 8? (a) 6738 (b) 6748 (c) 6736 (d) 6734

Answer key

  1. 5
  2. 47
  3. 50
  4. 0.47
  5. 8
  6. 150 min
  7. 2 years
  8. 9%
  9. 18
  10. 4
  11. 11/12
  12. 47
  13. 18
  14. 11
  15. 6/11
  16. 10%
  17. 30%
  18. 7/8
  19. Saturday
  20. 23
  21. 64
  22. 13
  23. ₹54
  24. 0.87
  25. 4 cm
  26. Wednesday
  27. 8
  28. 7064
  29. 20
  30. 29
  31. 22 cm
  32. Wednesday
  33. 5 days
  34. ₹1320
  35. 4
  36. 36
  37. 6
  38. 14.09
  39. 17.07
  40. 6736

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