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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 193 · 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 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 58 (c) 86 (d) 35
  2. 2.What is the average of all the whole numbers from 42 to 76? (a) 17 (b) 60 (c) 34 (d) 59
  3. 3.What is the average of 69, 80, 67, 72 and 112? (a) 100 (b) 81 (c) 79 (d) 80
  4. 4.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 55 (c) 43 (d) 15
  5. 5.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 20 (b) 54 (c) 70 (d) 52
  6. 6.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 63 (b) 20 (c) 51 (d) 47
  7. 7.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 14 (c) 36 (d) 38
  8. 8.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 34 (b) 8 (c) 18 (d) 24
  9. 9.What is the average of 62, 66, 46 and 46? (a) 56 (b) 54 (c) 57 (d) 55
  10. 10.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 18 (c) 47 (d) 33
  11. 11.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 58 (c) 22 (d) 23
  12. 12.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 28 (c) 30 (d) 55
  13. 13.What is the average of 68, 63, 58 and 99? (a) 96 (b) 72 (c) 73 (d) 71
  14. 14.What is the average of all the whole numbers from 32 to 56? (a) 12 (b) 44 (c) 24 (d) 45
  15. 15.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 28? (a) 50 (b) 35 (c) 49 (d) 28
  16. 16.What is the average of 45, 53, 46, 31 and 30? (a) 43 (b) 40 (c) 41 (d) 42
  17. 17.What is the average of 49, 48, 63, 63 and 82? (a) 61 (b) 60 (c) 63 (d) 62
  18. 18.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 20 (c) 52 (d) 53
  19. 19.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 41 (c) 37 (d) 38
  20. 20.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 42 (b) 26 (c) 20 (d) 24
  21. 21.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 28 (c) 82 (d) 67
  22. 22.What is the average of all the whole numbers from 52 to 68? (a) 16 (b) 8 (c) 61 (d) 60
  23. 23.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 20 (c) 28 (d) 24
  24. 24.What is the average of 40, 36, 57, 60 and 47? (a) 49 (b) 48 (c) 47 (d) 60
  25. 25.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 75 (b) 40 (c) 43 (d) 39
  26. 26.What is the average of 28, 28, 27, 22, 15 and 54? (a) 28 (b) 31 (c) 30 (d) 29
  27. 27.What is the average of 78, 52, 53, 62 and 85? (a) 67 (b) 68 (c) 66 (d) 65
  28. 28.What is the average of 88, 69, 66, 84, 92 and 63? (a) 79 (b) 76 (c) 78 (d) 77
  29. 29.What is the average of 29, 29, 29 and 85? (a) 42 (b) 44 (c) 43 (d) 45
  30. 30.What is the average of all the whole numbers from 22 to 48? (a) 36 (b) 26 (c) 13 (d) 35
  31. 31.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 12 (c) 24 (d) 26
  32. 32.What is the average of all the whole numbers from 8 to 24? (a) 17 (b) 8 (c) 16 (d) 15
  33. 33.What is the average of all the whole numbers from 10 to 40? (a) 25 (b) 15 (c) 30 (d) 26
  34. 34.What is the average of all the whole numbers from 11 to 25? (a) 18 (b) 14 (c) 19 (d) 7
  35. 35.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 10 (b) 41 (c) 43 (d) 49
  36. 36.What is the average of 11, 18, 28 and 23? (a) 19 (b) 21 (c) 22 (d) 20
  37. 37.What is the average of 42, 31, 40, 40, 50 and 7? (a) 35 (b) 36 (c) 34 (d) 42
  38. 38.What is the average of 49, 40, 53 and 38? (a) 44 (b) 45 (c) 46 (d) 60
  39. 39.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 57 (b) 32 (c) 81 (d) 53
  40. 40.What is the average of 47, 44, 51, 42, 46 and 52? (a) 47 (b) 46 (c) 49 (d) 48

Answer key

  1. 86
  2. 59
  3. 80
  4. 55
  5. 70
  6. 63
  7. 48
  8. 24
  9. 55
  10. 47
  11. 22
  12. 55
  13. 72
  14. 44
  15. 49
  16. 41
  17. 61
  18. 52
  19. 37
  20. 42
  21. 67
  22. 60
  23. 40
  24. 48
  25. 75
  26. 29
  27. 66
  28. 77
  29. 43
  30. 35
  31. 24
  32. 16
  33. 25
  34. 18
  35. 49
  36. 20
  37. 35
  38. 45
  39. 81
  40. 47

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