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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 597 · 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 4 consecutive odd numbers is 216. What is the largest of them?
  2. 2.The sum of two numbers is 85 and their difference is 47. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  4. 4.The sum of two numbers is 64 and their difference is 56. What is the larger number?
  5. 5.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 43 and their difference is 19. What is the larger number?
  9. 9.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 60. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 50. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  14. 14.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  15. 15.The sum of two numbers is 118 and their difference is 4. What is the larger number?
  16. 16.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 68. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 76. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.The sum of two numbers is 109 and their difference is 45. What is the smaller number?
  23. 23.The sum of two numbers is 169 and their difference is 5. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 230. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 116. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 12. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.One number is 2 times another. Their difference is 17. What is the smaller number?
  30. 30.The sum of two numbers is 89 and their difference is 33. What is the smaller number?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 38. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  35. 35.The sum of two numbers is 81 and their difference is 49. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 100. What is the smaller number?
  37. 37.The sum of two numbers is 99 and their difference is 35. What is the larger number?
  38. 38.One number is 5 times another. Their difference is 44. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 160. What is the largest of them?

Answer key

  1. 57
  2. 66
  3. 13
  4. 60
  5. 31
  6. 23
  7. 89
  8. 31
  9. 22
  10. 20
  11. 37
  12. 25
  13. 27
  14. 16
  15. 61
  16. 35
  17. 39
  18. 56
  19. 34
  20. 38
  21. 47
  22. 32
  23. 82
  24. 25
  25. 59
  26. 29
  27. 6
  28. 15
  29. 17
  30. 28
  31. 13
  32. 38
  33. 19
  34. 24
  35. 16
  36. 20
  37. 67
  38. 11
  39. 28
  40. 43

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