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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 699 · 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 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 24 (c) 56 (d) 38
  2. 2.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 49 (b) 36 (c) 43 (d) 78
  3. 3.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 35 (c) 50 (d) 25
  4. 4.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 60? (a) 16 (b) 62 (c) 60 (d) 74
  5. 5.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 24 (c) 34 (d) 52
  6. 6.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 103 (b) 55 (c) 60 (d) 49
  7. 7.What is the average of all the whole numbers from 44 to 50? (a) 48 (b) 3 (c) 47 (d) 6
  8. 8.What is the average of 41, 22, 45, 31, 38 and 3? (a) 36 (b) 31 (c) 29 (d) 30
  9. 9.What is the average of 68, 51, 58, 72 and 71? (a) 63 (b) 64 (c) 65 (d) 80
  10. 10.What is the average of 56, 68, 56, 79 and 71? (a) 68 (b) 66 (c) 65 (d) 67
  11. 11.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 40 (c) 44 (d) 41
  12. 12.What is the average of all the whole numbers from 52 to 60? (a) 8 (b) 4 (c) 57 (d) 56
  13. 13.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 53? (a) 53 (b) 55 (c) 69 (d) 18
  14. 14.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 28 (c) 12 (d) 37
  15. 15.What is the average of 54, 36, 55, 50, 46 and 59? (a) 49 (b) 51 (c) 50 (d) 60
  16. 16.What is the average of all the whole numbers from 44 to 66? (a) 22 (b) 56 (c) 55 (d) 11
  17. 17.What is the average of all the whole numbers from 41 to 71? (a) 56 (b) 57 (c) 15 (d) 30
  18. 18.What is the average of 23, 11, 32, 26 and 8? (a) 21 (b) 19 (c) 20 (d) 25
  19. 19.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 47 (c) 50 (d) 87
  20. 20.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 40? (a) 40 (b) 60 (c) 45 (d) 25
  21. 21.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 30 (b) 41 (c) 59 (d) 35
  22. 22.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 67 (b) 55 (c) 16 (d) 53
  23. 23.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 72 (b) 56 (c) 52 (d) 24
  24. 24.What is the average of 37, 21, 39 and 31? (a) 34 (b) 33 (c) 31 (d) 32
  25. 25.What is the average of all the whole numbers from 43 to 53? (a) 48 (b) 5 (c) 10 (d) 49
  26. 26.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 10 (b) 62 (c) 54 (d) 56
  27. 27.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 16 (c) 58 (d) 46
  28. 28.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 8 (c) 39 (d) 64
  29. 29.What is the average of all the whole numbers from 42 to 56? (a) 14 (b) 50 (c) 7 (d) 49
  30. 30.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 26 (c) 18 (d) 24
  31. 31.What is the average of all the whole numbers from 46 to 84? (a) 66 (b) 38 (c) 65 (d) 19
  32. 32.What is the average of all the whole numbers from 40 to 62? (a) 51 (b) 22 (c) 52 (d) 11
  33. 33.What is the average of 68, 61, 78 and 69? (a) 70 (b) 68 (c) 92 (d) 69
  34. 34.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 86 (b) 30 (c) 38 (d) 64
  35. 35.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 95 (c) 63 (d) 40
  36. 36.What is the average of all the whole numbers from 42 to 62? (a) 53 (b) 52 (c) 20 (d) 10
  37. 37.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 15 (c) 14 (d) 20
  38. 38.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 31 (c) 40 (d) 15
  39. 39.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 48 (b) 75 (c) 33 (d) 39
  40. 40.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 54 (c) 26 (d) 32

Answer key

  1. 56
  2. 78
  3. 50
  4. 74
  5. 52
  6. 103
  7. 47
  8. 30
  9. 64
  10. 66
  11. 40
  12. 56
  13. 69
  14. 37
  15. 50
  16. 55
  17. 56
  18. 20
  19. 87
  20. 60
  21. 59
  22. 67
  23. 72
  24. 32
  25. 48
  26. 62
  27. 58
  28. 39
  29. 49
  30. 40
  31. 65
  32. 51
  33. 69
  34. 86
  35. 95
  36. 52
  37. 14
  38. 40
  39. 75
  40. 54

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