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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 710 · 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 87 and their difference is 5. What is the smaller number?
  2. 2.The sum of two numbers is 53 and their difference is 45. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  4. 4.The sum of two numbers is 59 and their difference is 3. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 290. What is the largest of them?
  6. 6.The sum of two numbers is 140 and their difference is 32. What is the smaller number?
  7. 7.One number is 5 times another. Their difference is 72. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 170. What is the largest of them?
  9. 9.The sum of two numbers is 48 and their difference is 42. What is the larger number?
  10. 10.One number is 5 times another. Their difference is 108. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The sum of 3 consecutive numbers is 45. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  15. 15.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  17. 17.The sum of two numbers is 41 and their difference is 13. What is the larger number?
  18. 18.The sum of two numbers is 99 and their difference is 87. What is the larger number?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  20. 20.The sum of two numbers is 67 and their difference is 43. What is the larger number?
  21. 21.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 120. What is the smaller number?
  25. 25.The sum of two numbers is 133 and their difference is 33. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  27. 27.The sum of two numbers is 32 and their difference is 12. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 125. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 21. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 38. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 11. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  38. 38.One number is 5 times another. Their difference is 160. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.The sum of 4 consecutive numbers is 202. What is the largest of them?

Answer key

  1. 41
  2. 49
  3. 61
  4. 31
  5. 60
  6. 54
  7. 18
  8. 36
  9. 45
  10. 27
  11. 29
  12. 16
  13. 71
  14. 28
  15. 13
  16. 12
  17. 27
  18. 93
  19. 61
  20. 55
  21. 25
  22. 12
  23. 15
  24. 24
  25. 50
  26. 39
  27. 22
  28. 20
  29. 6
  30. 57
  31. 25
  32. 7
  33. 19
  34. 11
  35. 42
  36. 22
  37. 17
  38. 40
  39. 89
  40. 52

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