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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 352 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of all the whole numbers from 44 to 80? (a) 36 (b) 62 (c) 18 (d) 63
  2. 2.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 36 (b) 30 (c) 7 (d) 59
  3. 3.What is the average of all the whole numbers from 55 to 79? (a) 24 (b) 12 (c) 67 (d) 68
  4. 4.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 42 (b) 27 (c) 39 (d) 63
  5. 5.What is the average of 33, 28, 31 and 64? (a) 38 (b) 52 (c) 40 (d) 39
  6. 6.What is the average of all the whole numbers from 5 to 45? (a) 20 (b) 26 (c) 25 (d) 40
  7. 7.What is the average of 62, 55, 83 and 80? (a) 69 (b) 70 (c) 71 (d) 72
  8. 8.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 43 (b) 71 (c) 36 (d) 42
  9. 9.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 15 (c) 32 (d) 5
  10. 10.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 54 (b) 40 (c) 33 (d) 19
  11. 11.What is the average of 25, 32, 22, 41, 40 and 38? (a) 35 (b) 33 (c) 32 (d) 34
  12. 12.What is the average of 74, 56, 70, 72, 63 and 91? (a) 73 (b) 72 (c) 70 (d) 71
  13. 13.What is the average of 48, 25, 32, 29 and 41? (a) 37 (b) 36 (c) 35 (d) 34
  14. 14.What is the average of 26, 31, 34, 25 and 54? (a) 34 (b) 33 (c) 35 (d) 36
  15. 15.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 12 (c) 70 (d) 64
  16. 16.What is the average of all the whole numbers from 43 to 53? (a) 10 (b) 5 (c) 48 (d) 49
  17. 17.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 63 (b) 56 (c) 42 (d) 91
  18. 18.What is the average of all the whole numbers from 19 to 33? (a) 7 (b) 26 (c) 14 (d) 27
  19. 19.What is the average of all the whole numbers from 42 to 66? (a) 54 (b) 12 (c) 24 (d) 55
  20. 20.What is the average of all the whole numbers from 26 to 38? (a) 33 (b) 6 (c) 12 (d) 32
  21. 21.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 34 (b) 28 (c) 10 (d) 26
  22. 22.What is the average of all the whole numbers from 19 to 55? (a) 36 (b) 37 (c) 38 (d) 18
  23. 23.What is the average of 62, 50, 75, 76, 48 and 55? (a) 60 (b) 63 (c) 62 (d) 61
  24. 24.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 24 (b) 68 (c) 33 (d) 23
  25. 25.What is the average of 41, 48, 70, 65, 45 and 67? (a) 55 (b) 57 (c) 56 (d) 58
  26. 26.What is the average of all the whole numbers from 25 to 47? (a) 22 (b) 11 (c) 37 (d) 36
  27. 27.What is the average of 83, 78, 71 and 48? (a) 71 (b) 69 (c) 70 (d) 72
  28. 28.What is the average of all the whole numbers from 55 to 85? (a) 71 (b) 70 (c) 15 (d) 30
  29. 29.What is the average of 70, 50, 59, 51, 69 and 79? (a) 64 (b) 63 (c) 62 (d) 65
  30. 30.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 8 (c) 29 (d) 33
  31. 31.What is the average of 73, 67, 55 and 61? (a) 66 (b) 65 (c) 64 (d) 63
  32. 32.What is the average of 25, 35, 22, 12 and 11? (a) 22 (b) 20 (c) 21 (d) 23
  33. 33.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 37 (c) 29 (d) 53
  34. 34.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 59 (b) 30 (c) 33 (d) 4
  35. 35.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 60 (b) 33 (c) 27 (d) 81
  36. 36.What is the average of all the whole numbers from 51 to 57? (a) 54 (b) 6 (c) 3 (d) 55
  37. 37.What is the average of all the whole numbers from 55 to 71? (a) 8 (b) 63 (c) 16 (d) 64
  38. 38.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 12 (c) 66 (d) 60
  39. 39.What is the average of 50, 67, 68, 49 and 76? (a) 62 (b) 64 (c) 63 (d) 61
  40. 40.What is the average of 50, 37, 59 and 62? (a) 53 (b) 54 (c) 51 (d) 52

Answer key

  1. 62
  2. 36
  3. 67
  4. 63
  5. 39
  6. 25
  7. 70
  8. 71
  9. 5
  10. 54
  11. 33
  12. 71
  13. 35
  14. 34
  15. 70
  16. 48
  17. 91
  18. 26
  19. 54
  20. 32
  21. 34
  22. 37
  23. 61
  24. 23
  25. 56
  26. 36
  27. 70
  28. 70
  29. 63
  30. 33
  31. 64
  32. 21
  33. 53
  34. 33
  35. 81
  36. 54
  37. 63
  38. 66
  39. 62
  40. 52

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