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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 62 · 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 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 86 (c) 48 (d) 46
  2. 2.What is the average of 29, 43, 42 and 6? (a) 30 (b) 29 (c) 31 (d) 40
  3. 3.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 54? (a) 54 (b) 30 (c) 59 (d) 79
  4. 4.What is the average of all the whole numbers from 44 to 80? (a) 36 (b) 62 (c) 18 (d) 63
  5. 5.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 42? (a) 30 (b) 69 (c) 45 (d) 42
  6. 6.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 95 (c) 47 (d) 42
  7. 7.What is the average of all the whole numbers from 50 to 58? (a) 55 (b) 4 (c) 54 (d) 8
  8. 8.What is the average of 72, 49, 51, 50 and 63? (a) 59 (b) 57 (c) 58 (d) 56
  9. 9.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 2 (b) 22 (c) 3 (d) 10
  10. 10.What is the average of all the whole numbers from 45 to 65? (a) 10 (b) 20 (c) 56 (d) 55
  11. 11.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 37 (c) 12 (d) 36
  12. 12.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 40 (c) 81 (d) 46
  13. 13.What is the average of 59, 43, 40 and 74? (a) 55 (b) 72 (c) 53 (d) 54
  14. 14.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 72 (b) 27 (c) 48 (d) 51
  15. 15.What is the average of all the whole numbers from 59 to 77? (a) 9 (b) 68 (c) 69 (d) 18
  16. 16.What is the average of 29, 39, 58 and 50? (a) 44 (b) 46 (c) 43 (d) 45
  17. 17.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 49 (c) 77 (d) 78
  18. 18.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 50 (c) 62 (d) 24
  19. 19.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 8 (b) 31 (c) 33 (d) 37
  20. 20.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 62 (c) 68 (d) 12
  21. 21.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 67 (c) 43 (d) 39
  22. 22.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 23 (b) 16 (c) 22 (d) 10
  23. 23.What is the average of all the whole numbers from 44 to 50? (a) 6 (b) 47 (c) 48 (d) 3
  24. 24.What is the average of all the whole numbers from 20 to 30? (a) 26 (b) 5 (c) 10 (d) 25
  25. 25.What is the average of all the whole numbers from 20 to 26? (a) 23 (b) 6 (c) 3 (d) 24
  26. 26.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 65 (c) 28 (d) 14
  27. 27.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 44? (a) 52 (b) 44 (c) 100 (d) 64
  28. 28.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 40 (c) 24 (d) 60
  29. 29.What is the average of all the whole numbers from 37 to 69? (a) 53 (b) 54 (c) 16 (d) 32
  30. 30.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 51 (b) 67 (c) 36 (d) 20
  31. 31.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 22 (c) 26 (d) 5
  32. 32.What is the average of all the whole numbers from 47 to 61? (a) 14 (b) 55 (c) 7 (d) 54
  33. 33.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 15 (b) 27 (c) 21 (d) 33
  34. 34.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 30 (b) 20 (c) 12 (d) 38
  35. 35.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 45 (b) 30 (c) 35 (d) 20
  36. 36.What is the average of 32, 32, 26 and 42? (a) 32 (b) 34 (c) 33 (d) 44
  37. 37.What is the average of all the whole numbers from 32 to 40? (a) 37 (b) 4 (c) 36 (d) 8
  38. 38.What is the average of 65, 41, 41, 37 and 71? (a) 53 (b) 51 (c) 50 (d) 52
  39. 39.What is the average of 56, 49, 45, 52, 48 and 110? (a) 72 (b) 61 (c) 59 (d) 60
  40. 40.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 75 (b) 42 (c) 47 (d) 40

Answer key

  1. 86
  2. 30
  3. 79
  4. 62
  5. 69
  6. 42
  7. 54
  8. 57
  9. 2
  10. 55
  11. 36
  12. 81
  13. 54
  14. 72
  15. 68
  16. 44
  17. 77
  18. 62
  19. 37
  20. 68
  21. 67
  22. 22
  23. 47
  24. 25
  25. 23
  26. 64
  27. 100
  28. 60
  29. 53
  30. 51
  31. 26
  32. 54
  33. 33
  34. 30
  35. 45
  36. 33
  37. 36
  38. 51
  39. 60
  40. 75

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