← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 596 · 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 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 53 (c) 59 (d) 12
  2. 2.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 28 (b) 13 (c) 22 (d) 37
  3. 3.What is the average of all the whole numbers from 24 to 46? (a) 22 (b) 11 (c) 35 (d) 36
  4. 4.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 46 (c) 32 (d) 10
  5. 5.What is the average of 34, 44, 29, 47, 41 and 15? (a) 36 (b) 34 (c) 42 (d) 35
  6. 6.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 49 (c) 54 (d) 89
  7. 7.What is the average of all the whole numbers from 32 to 52? (a) 43 (b) 42 (c) 20 (d) 10
  8. 8.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 30 (c) 75 (d) 65
  9. 9.What is the average of 80, 82, 59, 63, 63 and 91? (a) 72 (b) 73 (c) 75 (d) 74
  10. 10.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 65 (c) 4 (d) 36
  11. 11.What is the average of 28, 24, 39 and 25? (a) 31 (b) 29 (c) 30 (d) 28
  12. 12.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 69 (b) 63 (c) 12 (d) 60
  13. 13.What is the average of 70, 61, 82 and 67? (a) 72 (b) 71 (c) 70 (d) 69
  14. 14.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 68 (c) 45 (d) 28
  15. 15.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 79 (b) 28 (c) 59 (d) 55
  16. 16.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 45? (a) 53 (b) 45 (c) 47 (d) 10
  17. 17.What is the average of all the whole numbers from 6 to 38? (a) 22 (b) 32 (c) 23 (d) 16
  18. 18.What is the average of 30, 23, 37, 29, 20 and 11? (a) 24 (b) 26 (c) 30 (d) 25
  19. 19.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 67 (c) 34 (d) 4
  20. 20.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 53? (a) 55 (b) 61 (c) 10 (d) 53
  21. 21.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 38 (c) 16 (d) 50
  22. 22.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 35 (c) 85 (d) 64
  23. 23.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 14 (b) 71 (c) 13 (d) 33
  24. 24.What is the average of all the whole numbers from 28 to 60? (a) 45 (b) 16 (c) 44 (d) 32
  25. 25.What is the average of all the whole numbers from 9 to 49? (a) 30 (b) 20 (c) 40 (d) 29
  26. 26.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) 55 (b) 60 (c) 103 (d) 49
  27. 27.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 17 (b) 19 (c) 10 (d) 18
  28. 28.What is the average of all the whole numbers from 23 to 45? (a) 11 (b) 34 (c) 35 (d) 22
  29. 29.What is the average of all the whole numbers from 40 to 74? (a) 58 (b) 17 (c) 57 (d) 34
  30. 30.What is the average of 56, 79, 64, 52 and 74? (a) 65 (b) 67 (c) 66 (d) 64
  31. 31.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 50 (b) 62 (c) 46 (d) 20
  32. 32.What is the average of all the whole numbers from 18 to 36? (a) 27 (b) 28 (c) 9 (d) 18
  33. 33.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 11 (b) 12 (c) 36 (d) 77
  34. 34.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 45? (a) 45 (b) 47 (c) 20 (d) 63
  35. 35.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 99 (b) 49 (c) 98 (d) 56
  36. 36.What is the average of all the whole numbers from 34 to 58? (a) 46 (b) 12 (c) 24 (d) 47
  37. 37.What is the average of all the whole numbers from 56 to 86? (a) 30 (b) 15 (c) 72 (d) 71
  38. 38.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 85 (b) 61 (c) 53 (d) 40
  39. 39.What is the average of 41, 51, 23, 27, 31 and 49? (a) 39 (b) 36 (c) 37 (d) 38
  40. 40.What is the average of all the whole numbers from 27 to 33? (a) 31 (b) 30 (c) 6 (d) 3

Answer key

  1. 59
  2. 37
  3. 35
  4. 32
  5. 35
  6. 89
  7. 42
  8. 65
  9. 73
  10. 36
  11. 29
  12. 69
  13. 70
  14. 68
  15. 79
  16. 53
  17. 22
  18. 25
  19. 37
  20. 61
  21. 50
  22. 85
  23. 13
  24. 44
  25. 29
  26. 103
  27. 18
  28. 34
  29. 57
  30. 65
  31. 62
  32. 27
  33. 11
  34. 63
  35. 98
  36. 46
  37. 71
  38. 85
  39. 37
  40. 30

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad