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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 12 · 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 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 111 (c) 64 (d) 55
  2. 2.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 96 (b) 61 (c) 45 (d) 56
  3. 3.What is the average of 72, 58, 71, 68, 76 and 93? (a) 72 (b) 74 (c) 75 (d) 73
  4. 4.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 63 (b) 35 (c) 56 (d) 84
  5. 5.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 12 (b) 19 (c) 36 (d) 29
  6. 6.What is the average of all the whole numbers from 21 to 61? (a) 42 (b) 41 (c) 40 (d) 20
  7. 7.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 16 (b) 96 (c) 62 (d) 50
  8. 8.What is the average of 14, 35, 36, 19 and 36? (a) 27 (b) 28 (c) 35 (d) 29
  9. 9.What is the average of all the whole numbers from 8 to 30? (a) 11 (b) 20 (c) 22 (d) 19
  10. 10.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 34 (c) 25 (d) 70
  11. 11.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 6 (b) 10 (c) 21 (d) 5
  12. 12.What is the average of 45, 48, 37, 37 and 58? (a) 47 (b) 45 (c) 44 (d) 46
  13. 13.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) 40 (b) 32 (c) 64 (d) 36
  14. 14.What is the average of 32, 35, 35 and 22? (a) 31 (b) 32 (c) 33 (d) 30
  15. 15.What is the average of 18, 24, 41, 36 and 36? (a) 33 (b) 30 (c) 31 (d) 32
  16. 16.What is the average of all the whole numbers from 17 to 53? (a) 36 (b) 35 (c) 18 (d) 34
  17. 17.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 68 (b) 80 (c) 60 (d) 132
  18. 18.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 43 (c) 73 (d) 37
  19. 19.What is the average of all the whole numbers from 26 to 38? (a) 12 (b) 33 (c) 6 (d) 32
  20. 20.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 53? (a) 15 (b) 56 (c) 53 (d) 65
  21. 21.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 63 (b) 32 (c) 39 (d) 88
  22. 22.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 50 (c) 89 (d) 49
  23. 23.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 27 (b) 47 (c) 98 (d) 28
  24. 24.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 32 (d) 52
  25. 25.What is the average of 24, 42, 28 and 62? (a) 52 (b) 40 (c) 38 (d) 39
  26. 26.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 23 (c) 16 (d) 18
  27. 27.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 10 (c) 11 (d) 47
  28. 28.What is the average of 30, 37, 22, 24 and 32? (a) 28 (b) 31 (c) 30 (d) 29
  29. 29.What is the average of all the whole numbers from 59 to 95? (a) 77 (b) 36 (c) 18 (d) 78
  30. 30.What is the average of 36, 22, 26, 38 and 53? (a) 35 (b) 34 (c) 37 (d) 36
  31. 31.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 35 (c) 49 (d) 70
  32. 32.What is the average of 35, 26, 18, 16, 41 and 38? (a) 30 (b) 29 (c) 28 (d) 31
  33. 33.What is the average of 16, 13, 22 and 37? (a) 23 (b) 21 (c) 24 (d) 22
  34. 34.What is the average of 33, 19, 21, 48 and 44? (a) 35 (b) 32 (c) 33 (d) 34
  35. 35.What is the average of 45, 26, 38 and 39? (a) 36 (b) 38 (c) 37 (d) 39
  36. 36.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 8 (c) 35 (d) 28
  37. 37.What is the average of all the whole numbers from 21 to 33? (a) 12 (b) 28 (c) 6 (d) 27
  38. 38.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) 28 (c) 33 (d) 20
  39. 39.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 20 (b) 43 (c) 9 (d) 8
  40. 40.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 68 (b) 48 (c) 16 (d) 36

Answer key

  1. 111
  2. 96
  3. 73
  4. 84
  5. 29
  6. 41
  7. 62
  8. 28
  9. 19
  10. 24
  11. 5
  12. 45
  13. 64
  14. 31
  15. 31
  16. 35
  17. 132
  18. 73
  19. 32
  20. 65
  21. 88
  22. 89
  23. 27
  24. 52
  25. 39
  26. 23
  27. 10
  28. 29
  29. 77
  30. 35
  31. 70
  32. 29
  33. 22
  34. 33
  35. 37
  36. 35
  37. 27
  38. 43
  39. 8
  40. 48

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