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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 455 · 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 114 and their difference is 32. What is the smaller number?
  2. 2.The sum of two numbers is 68 and their difference is 52. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 88. What is the smaller number?
  4. 4.The sum of two numbers is 41 and their difference is 11. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.One number is 3 times another. Their difference is 6. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.One number is 3 times another. Their difference is 62. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  10. 10.The sum of two numbers is 37 and their difference is 1. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  13. 13.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  14. 14.The sum of two numbers is 68 and their difference is 18. What is the smaller number?
  15. 15.The sum of two numbers is 39 and their difference is 21. What is the larger number?
  16. 16.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  17. 17.One number is 5 times another. Their difference is 60. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 28. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  20. 20.One number is 6 times another. Their difference is 30. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  22. 22.The sum of two numbers is 38 and their difference is 14. What is the larger number?
  23. 23.The sum of two numbers is 44 and their difference is 22. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.The sum of two numbers is 56 and their difference is 6. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  30. 30.One number is 4 times another. Their difference is 18. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 84. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  33. 33.The sum of two numbers is 61 and their difference is 57. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 32. What is the smaller number?
  38. 38.The sum of two numbers is 96 and their difference is 48. What is the smaller number?
  39. 39.The sum of two numbers is 18 and their difference is 4. What is the larger number?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 41
  2. 8
  3. 22
  4. 15
  5. 57
  6. 3
  7. 56
  8. 31
  9. 58
  10. 19
  11. 24
  12. 67
  13. 62
  14. 25
  15. 30
  16. 13
  17. 15
  18. 14
  19. 8
  20. 6
  21. 13
  22. 26
  23. 11
  24. 67
  25. 28
  26. 16
  27. 31
  28. 75
  29. 7
  30. 6
  31. 29
  32. 19
  33. 2
  34. 21
  35. 16
  36. 22
  37. 8
  38. 24
  39. 11
  40. 34

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