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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 55 · 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 4/5 of 30? (a) 6 (b) 24 (c) 30 (d) 25
  2. 2.Every pair follows the same rule: 3 : 21, 4 : 28, 5 : 35. What is 8 : ? (a) 56 (b) 55 (c) 26 (d) 57
  3. 3.A teacher has 77 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 11 (c) 77 (d) 616
  4. 4.If 7x − 44 = 47, what is x? (a) 14 (b) 12 (c) 13 (d) 91
  5. 5.Which of these numbers is divisible by 11? (a) 1158 (b) 1150 (c) 1135 (d) 1144
  6. 6.What is the smallest number you must add to 230 to make it divisible by 7? (a) 3 (b) 1 (c) 2 (d) 6
  7. 7.Two ribbons are 20 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 16 cm (c) 20 cm (d) 2 cm
  8. 8.Every pair follows the same rule: 3 : 16, 4 : 23, 7 : 56. What is 9 : ? (a) 22 (b) 89 (c) 88 (d) 78
  9. 9.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 80 min (c) 4 min (d) 320 min
  10. 10.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 6 : ? (a) 8 (b) 12 (c) 39 (d) 36
  11. 11.Two ribbons are 16 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 16 cm (c) 80 cm (d) 4 cm
  12. 12.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 37 (c) 72 (d) 43
  13. 13.A teacher has 28 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 28 (c) 1 (d) 7
  14. 14.If 2 notebooks cost ₹30, how much do 5 notebooks cost? (a) ₹150 (b) ₹90 (c) ₹75 (d) ₹33
  15. 15.What is the average of all the whole numbers from 10 to 22? (a) 17 (b) 6 (c) 16 (d) 12
  16. 16.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 43 days (b) 42 days (c) 8 days (d) 20 days
  17. 17.If 3 pens cost ₹39, how much do 5 pens cost? (a) ₹78 (b) ₹65 (c) ₹195 (d) ₹41
  18. 18.What is 1/9 of 36? (a) 5 (b) 32 (c) 4 (d) 8
  19. 19.Every pair follows the same rule: 3 : 18, 4 : 21, 9 : 36. What is 7 : ? (a) 31 (b) 22 (c) 30 (d) 42
  20. 20.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  21. 21.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 2 (b) 7 (c) 9 (d) 8
  22. 22.What is the remainder when 83 is divided by 6? (a) 1 (b) 3 (c) 4 (d) 5
  23. 23.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 5 (b) 11 (c) 15 (d) 21
  24. 24.What is 50% of 820? (a) 820 (b) 411 (c) 4100 (d) 410
  25. 25.Two ribbons are 6 cm and 21 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) 3 cm (c) 15 cm (d) 6 cm
  26. 26.What is 1/5 of 55? (a) 44 (b) 12 (c) 22 (d) 11
  27. 27.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 108 (b) 36 (c) 72 (d) 21
  28. 28.₹10000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹4000 (b) ₹15000 (c) ₹14000 (d) ₹11000
  29. 29.A bag marked ₹1920 is sold at a 10% discount. What is its selling price? (a) ₹2112 (b) ₹1910 (c) ₹192 (d) ₹1728
  30. 30.1/2 + 2/3 = ? (a) 3/5 (b) 1 (c) 7/6 (d) 4/3
  31. 31.Today is Saturday. What day of the week will it be after 61 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  32. 32.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 5 (c) 6 (d) 40
  33. 33.Which fraction is greater: 2/3 or 5/7? (a) 5/7 (b) They are equal (c) 2/3
  34. 34.Every pair follows the same rule: 3 : 22, 5 : 24, 9 : 28. What is 6 : ? (a) 26 (b) 27 (c) 25 (d) 24
  35. 35.What is the average of 71, 55, 49 and 65? (a) 59 (b) 80 (c) 61 (d) 60
  36. 36.1/6 + 2/9 = ? (a) 1/3 (b) 7/18 (c) 1/5 (d) 4/9
  37. 37.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 15 (c) 37 (d) 16
  38. 38.If 15 March is a Wednesday, what day of the week is 18 April? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  39. 39.If 7 May is a Thursday, what day of the week is 22 May? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  40. 40.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 114 cm (d) 44 cm

Answer key

  1. 24
  2. 56
  3. 11
  4. 13
  5. 1144
  6. 1
  7. 4 cm
  8. 88
  9. 80 min
  10. 36
  11. 4 cm
  12. 43
  13. 7
  14. ₹75
  15. 16
  16. 42 days
  17. ₹65
  18. 4
  19. 30
  20. 16 cm
  21. 8
  22. 5
  23. 15
  24. 410
  25. 3 cm
  26. 11
  27. 36
  28. ₹14000
  29. ₹1728
  30. 7/6
  31. Thursday
  32. 5
  33. 5/7
  34. 25
  35. 60
  36. 7/18
  37. 15
  38. Tuesday
  39. Friday
  40. 50 cm

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