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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 516 · 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 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 10 (b) 66 (c) 58 (d) 60
  2. 2.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 42 (c) 71 (d) 7
  3. 3.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 52? (a) 15 (b) 52 (c) 64 (d) 55
  4. 4.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 49 (b) 46 (c) 24 (d) 67
  5. 5.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 80 (b) 47 (c) 41 (d) 8
  6. 6.What is the average of all the whole numbers from 42 to 50? (a) 4 (b) 8 (c) 47 (d) 46
  7. 7.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 20 (c) 31 (d) 40
  8. 8.What is the average of all the whole numbers from 40 to 76? (a) 58 (b) 59 (c) 18 (d) 36
  9. 9.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 36 (c) 37 (d) 12
  10. 10.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 51 (c) 49 (d) 20
  11. 11.What is the average of 65, 45, 53, 44 and 68? (a) 56 (b) 55 (c) 54 (d) 57
  12. 12.What is the average of all the whole numbers from 33 to 41? (a) 4 (b) 37 (c) 8 (d) 38
  13. 13.What is the average of 70, 54, 74, 52, 56 and 96? (a) 66 (b) 69 (c) 68 (d) 67
  14. 14.What is the average of 24, 21, 36, 28, 25 and 40? (a) 29 (b) 28 (c) 31 (d) 30
  15. 15.What is the average of 27, 29, 14 and 14? (a) 20 (b) 22 (c) 28 (d) 21
  16. 16.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) 16 (c) 18 (d) 23
  17. 17.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 31 (c) 37 (d) 10
  18. 18.What is the average of 50, 72, 53, 73, 76 and 48? (a) 64 (b) 62 (c) 61 (d) 63
  19. 19.What is the average of 40, 36, 24, 29, 25 and 50? (a) 35 (b) 34 (c) 36 (d) 33
  20. 20.What is the average of 36, 28, 33 and 59? (a) 38 (b) 39 (c) 52 (d) 40
  21. 21.What is the average of 13, 16, 11, 37 and 38? (a) 24 (b) 22 (c) 25 (d) 23
  22. 22.What is the average of all the whole numbers from 7 to 27? (a) 20 (b) 18 (c) 10 (d) 17
  23. 23.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 47 (c) 27 (d) 26
  24. 24.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 72 (c) 64 (d) 120
  25. 25.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 7 (b) 27 (c) 20 (d) 14
  26. 26.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 96 (c) 97 (d) 48
  27. 27.What is the average of 48, 54, 51, 53, 49 and 93? (a) 58 (b) 60 (c) 59 (d) 57
  28. 28.What is the average of all the whole numbers from 6 to 46? (a) 40 (b) 26 (c) 27 (d) 20
  29. 29.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 48 (b) 75 (c) 39 (d) 12
  30. 30.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 94 (c) 52 (d) 54
  31. 31.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 17 (b) 26 (c) 31 (d) 12
  32. 32.What is the average of 40, 55, 42, 68, 47 and 72? (a) 54 (b) 53 (c) 56 (d) 55
  33. 33.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 18 (b) 39 (c) 42 (d) 54
  34. 34.What is the average of 59, 42, 54, 48, 65 and 38? (a) 52 (b) 50 (c) 51 (d) 53
  35. 35.What is the average of all the whole numbers from 19 to 29? (a) 25 (b) 10 (c) 5 (d) 24
  36. 36.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 55 (b) 39 (c) 18 (d) 41
  37. 37.What is the average of 94, 66, 81 and 75? (a) 81 (b) 79 (c) 78 (d) 80
  38. 38.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 66? (a) 74 (b) 90 (c) 32 (d) 66
  39. 39.What is the average of all the whole numbers from 26 to 34? (a) 31 (b) 30 (c) 8 (d) 4
  40. 40.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 30 (c) 29 (d) 72

Answer key

  1. 66
  2. 42
  3. 64
  4. 67
  5. 47
  6. 46
  7. 30
  8. 58
  9. 36
  10. 67
  11. 55
  12. 37
  13. 67
  14. 29
  15. 21
  16. 23
  17. 37
  18. 62
  19. 34
  20. 39
  21. 23
  22. 17
  23. 47
  24. 120
  25. 20
  26. 96
  27. 58
  28. 26
  29. 48
  30. 94
  31. 26
  32. 54
  33. 54
  34. 51
  35. 24
  36. 55
  37. 79
  38. 90
  39. 30
  40. 29

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