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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 706 · 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 3 consecutive numbers is 165. What is the smallest of them?
  2. 2.The sum of two numbers is 33 and their difference is 29. What is the larger number?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.One number is 6 times another. Their difference is 80. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 17. What is the smaller number?
  6. 6.The sum of two numbers is 89 and their difference is 63. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 60. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 145. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 26. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 80. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  13. 13.The sum of two numbers is 73 and their difference is 59. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of two numbers is 86 and their difference is 64. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  19. 19.The sum of two numbers is 109 and their difference is 15. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 16. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 177. What is the largest of them?
  24. 24.The sum of two numbers is 94 and their difference is 42. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 145. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  28. 28.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?
  29. 29.One number is 5 times another. Their difference is 128. What is the smaller number?
  30. 30.One number is 2 times another. Their difference is 5. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 30. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 28. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  34. 34.The sum of two numbers is 49 and their difference is 13. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 4. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 72. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 105. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 26. What is the smaller number?
  40. 40.The sum of two numbers is 108 and their difference is 74. What is the smaller number?

Answer key

  1. 54
  2. 31
  3. 49
  4. 16
  5. 17
  6. 76
  7. 43
  8. 20
  9. 29
  10. 13
  11. 20
  12. 50
  13. 66
  14. 36
  15. 67
  16. 11
  17. 13
  18. 39
  19. 62
  20. 46
  21. 8
  22. 7
  23. 60
  24. 26
  25. 76
  26. 31
  27. 37
  28. 56
  29. 32
  30. 5
  31. 15
  32. 14
  33. 22
  34. 18
  35. 4
  36. 40
  37. 25
  38. 21
  39. 26
  40. 17

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