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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 958 · 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.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 50 (b) 38 (c) 35 (d) 18
  2. 2.What is the average of 62, 82, 80, 59 and 52? (a) 67 (b) 68 (c) 66 (d) 69
  3. 3.What is the average of 22, 18, 28 and 52? (a) 31 (b) 40 (c) 30 (d) 29
  4. 4.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 98 (b) 42 (c) 48 (d) 43
  5. 5.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 46 (c) 40 (d) 82
  6. 6.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 8 (b) 48 (c) 46 (d) 52
  7. 7.What is the average of all the whole numbers from 38 to 50? (a) 6 (b) 12 (c) 44 (d) 45
  8. 8.What is the average of all the whole numbers from 11 to 49? (a) 30 (b) 38 (c) 19 (d) 31
  9. 9.What is the average of 65, 71, 74, 62 and 58? (a) 68 (b) 65 (c) 67 (d) 66
  10. 10.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 54 (b) 42 (c) 20 (d) 38
  11. 11.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 66 (b) 42 (c) 67 (d) 36
  12. 12.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 64 (b) 40 (c) 36 (d) 32
  13. 13.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 65 (b) 53 (c) 50 (d) 18
  14. 14.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 56 (b) 72 (c) 114 (d) 65
  15. 15.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 20 (b) 62 (c) 44 (d) 46
  16. 16.What is the average of all the whole numbers from 9 to 17? (a) 8 (b) 13 (c) 4 (d) 14
  17. 17.What is the average of all the whole numbers from 8 to 24? (a) 16 (b) 17 (c) 8 (d) 15
  18. 18.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 24 (c) 55 (d) 71
  19. 19.What is the average of 61, 59, 57 and 67? (a) 63 (b) 62 (c) 60 (d) 61
  20. 20.What is the average of 51, 69, 51 and 73? (a) 60 (b) 61 (c) 62 (d) 63
  21. 21.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 88 (c) 56 (d) 46
  22. 22.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 95 (c) 85 (d) 40
  23. 23.What is the average of 34, 14, 30, 20 and 12? (a) 21 (b) 24 (c) 23 (d) 22
  24. 24.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 29 (b) 36 (c) 8 (d) 57
  25. 25.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 35 (b) 56 (c) 77 (d) 49
  26. 26.What is the average of all the whole numbers from 60 to 94? (a) 17 (b) 77 (c) 78 (d) 34
  27. 27.What is the average of 84, 59, 82, 70, 88 and 55? (a) 75 (b) 72 (c) 73 (d) 74
  28. 28.What is the average of all the whole numbers from 18 to 50? (a) 35 (b) 16 (c) 32 (d) 34
  29. 29.What is the average of 58, 65, 85, 70, 64 and 84? (a) 72 (b) 71 (c) 70 (d) 73
  30. 30.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 7 (b) 27 (c) 57 (d) 6
  31. 31.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 43 (b) 33 (c) 20 (d) 28
  32. 32.What is the average of all the whole numbers from 30 to 52? (a) 22 (b) 11 (c) 42 (d) 41
  33. 33.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 40 (b) 90 (c) 58 (d) 66
  34. 34.What is the average of 71, 65, 44, 46 and 59? (a) 59 (b) 57 (c) 58 (d) 56
  35. 35.What is the average of 28, 20, 37 and 23? (a) 28 (b) 36 (c) 27 (d) 26
  36. 36.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 17 (b) 16 (c) 60 (d) 28
  37. 37.What is the average of 10, 36, 28, 31, 31 and 2? (a) 24 (b) 23 (c) 22 (d) 25
  38. 38.What is the average of all the whole numbers from 10 to 38? (a) 14 (b) 24 (c) 28 (d) 25
  39. 39.What is the average of all the whole numbers from 13 to 53? (a) 33 (b) 40 (c) 34 (d) 20
  40. 40.What is the average of all the whole numbers from 59 to 69? (a) 65 (b) 5 (c) 64 (d) 10

Answer key

  1. 50
  2. 67
  3. 30
  4. 42
  5. 82
  6. 52
  7. 44
  8. 30
  9. 66
  10. 54
  11. 66
  12. 64
  13. 65
  14. 114
  15. 62
  16. 13
  17. 16
  18. 71
  19. 61
  20. 61
  21. 88
  22. 85
  23. 22
  24. 36
  25. 77
  26. 77
  27. 73
  28. 34
  29. 71
  30. 6
  31. 43
  32. 41
  33. 90
  34. 57
  35. 27
  36. 16
  37. 23
  38. 24
  39. 33
  40. 64

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