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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 116 · 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 64. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 51. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 3. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 140. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 16. What is the smaller number?
  12. 12.The sum of two numbers is 30 and their difference is 22. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 37. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 29. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of 4 consecutive numbers is 130. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 48. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 12. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 55. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.One number is 2 times another. Their difference is 5. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 33. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  36. 36.The sum of two numbers is 123 and their difference is 13. What is the larger number?
  37. 37.The sum of two numbers is 163 and their difference is 19. What is the larger number?
  38. 38.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 50. What is the smaller number?
  40. 40.The sum of two numbers is 64 and their difference is 56. What is the smaller number?

Answer key

  1. 25
  2. 17
  3. 51
  4. 52
  5. 49
  6. 77
  7. 9
  8. 3
  9. 35
  10. 30
  11. 8
  12. 4
  13. 37
  14. 29
  15. 43
  16. 68
  17. 34
  18. 43
  19. 40
  20. 67
  21. 12
  22. 57
  23. 32
  24. 12
  25. 12
  26. 58
  27. 27
  28. 11
  29. 35
  30. 48
  31. 69
  32. 5
  33. 22
  34. 12
  35. 59
  36. 68
  37. 91
  38. 35
  39. 10
  40. 4

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