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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 453 · 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.What is the average of all the whole numbers from 31 to 47? (a) 16 (b) 8 (c) 39 (d) 40
  2. 2.What is the average of 80, 69, 71 and 48? (a) 68 (b) 69 (c) 67 (d) 66
  3. 3.What is the average of 64, 58, 63, 48 and 77? (a) 64 (b) 61 (c) 62 (d) 63
  4. 4.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 63 (b) 29 (c) 9 (d) 10
  5. 5.What is the average of all the whole numbers from 49 to 85? (a) 36 (b) 67 (c) 68 (d) 18
  6. 6.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) 53 (c) 32 (d) 81
  7. 7.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 97 (b) 48 (c) 65 (d) 57
  8. 8.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 18 (b) 35 (c) 51 (d) 37
  9. 9.What is the average of all the whole numbers from 8 to 24? (a) 8 (b) 16 (c) 17 (d) 15
  10. 10.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 70 (c) 37 (d) 100
  11. 11.What is the average of 18, 26, 37 and 15? (a) 23 (b) 24 (c) 32 (d) 25
  12. 12.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 55 (c) 25 (d) 27
  13. 13.What is the average of 10, 33, 26, 15 and 16? (a) 19 (b) 25 (c) 20 (d) 21
  14. 14.What is the average of 29, 17, 26, 22, 25 and 25? (a) 25 (b) 23 (c) 26 (d) 24
  15. 15.What is the average of 41, 55, 53 and 23? (a) 44 (b) 45 (c) 42 (d) 43
  16. 16.What is the average of all the whole numbers from 39 to 69? (a) 54 (b) 15 (c) 55 (d) 30
  17. 17.What is the average of all the whole numbers from 53 to 93? (a) 73 (b) 20 (c) 74 (d) 40
  18. 18.What is the average of 61, 77, 72, 59 and 41? (a) 62 (b) 63 (c) 64 (d) 61
  19. 19.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 20 (c) 49 (d) 42
  20. 20.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 70 (c) 32 (d) 86
  21. 21.What is the average of 51, 65, 61, 64, 41 and 18? (a) 49 (b) 50 (c) 60 (d) 51
  22. 22.What is the average of 68, 76, 60 and 96? (a) 76 (b) 100 (c) 74 (d) 75
  23. 23.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 37 (c) 38 (d) 12
  24. 24.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 28 (b) 55 (c) 31 (d) 35
  25. 25.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 37 (c) 52 (d) 18
  26. 26.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 64 (b) 104 (c) 56 (d) 48
  27. 27.What is the average of 32, 23, 23, 31, 26 and 45? (a) 30 (b) 29 (c) 31 (d) 36
  28. 28.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 54 (c) 33 (d) 81
  29. 29.What is the average of all the whole numbers from 42 to 52? (a) 48 (b) 5 (c) 47 (d) 10
  30. 30.What is the average of all the whole numbers from 25 to 59? (a) 34 (b) 43 (c) 17 (d) 42
  31. 31.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 38 (b) 63 (c) 7 (d) 32
  32. 32.What is the average of all the whole numbers from 28 to 40? (a) 6 (b) 34 (c) 35 (d) 12
  33. 33.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 20 (b) 48 (c) 46 (d) 64
  34. 34.What is the average of all the whole numbers from 58 to 70? (a) 12 (b) 64 (c) 6 (d) 65
  35. 35.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 60 (b) 42 (c) 39 (d) 24
  36. 36.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) 20 (b) 7 (c) 14 (d) 27
  37. 37.What is the average of 34, 53, 48 and 29? (a) 40 (b) 43 (c) 42 (d) 41
  38. 38.What is the average of all the whole numbers from 41 to 71? (a) 56 (b) 57 (c) 30 (d) 15
  39. 39.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 40 (c) 85 (d) 50
  40. 40.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 60 (c) 69 (d) 117

Answer key

  1. 39
  2. 67
  3. 62
  4. 9
  5. 67
  6. 81
  7. 97
  8. 51
  9. 16
  10. 100
  11. 24
  12. 24
  13. 20
  14. 24
  15. 43
  16. 54
  17. 73
  18. 62
  19. 42
  20. 86
  21. 50
  22. 75
  23. 37
  24. 55
  25. 52
  26. 104
  27. 30
  28. 81
  29. 47
  30. 42
  31. 38
  32. 34
  33. 64
  34. 64
  35. 60
  36. 20
  37. 41
  38. 56
  39. 85
  40. 117

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