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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 747 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 102. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  4. 4.The sum of two numbers is 75 and their difference is 29. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 46. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of 3 consecutive numbers is 54. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.One number is 5 times another. Their difference is 12. What is the smaller number?
  11. 11.The sum of two numbers is 50 and their difference is 26. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 10. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  15. 15.The sum of two numbers is 27 and their difference is 7. What is the larger number?
  16. 16.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  17. 17.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  19. 19.The sum of two numbers is 79 and their difference is 69. What is the larger number?
  20. 20.One number is 3 times another. Their difference is 42. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  22. 22.The sum of two numbers is 101 and their difference is 73. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 120. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 158. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 36. What is the smaller number?
  29. 29.The sum of two numbers is 188 and their difference is 4. What is the larger number?
  30. 30.The sum of 4 consecutive numbers is 30. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 60. What is the smaller number?
  34. 34.The sum of two numbers is 75 and their difference is 15. What is the larger number?
  35. 35.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  37. 37.The sum of two numbers is 126 and their difference is 64. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 38. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 8. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?

Answer key

  1. 13
  2. 27
  3. 13
  4. 23
  5. 75
  6. 23
  7. 59
  8. 19
  9. 78
  10. 3
  11. 38
  12. 33
  13. 10
  14. 72
  15. 17
  16. 83
  17. 40
  18. 53
  19. 74
  20. 21
  21. 66
  22. 14
  23. 30
  24. 41
  25. 53
  26. 57
  27. 30
  28. 36
  29. 96
  30. 9
  31. 16
  32. 20
  33. 30
  34. 45
  35. 28
  36. 10
  37. 31
  38. 11
  39. 8
  40. 41

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