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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 840 · 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.One number is 5 times another. Their difference is 56. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.One number is 4 times another. Their difference is 48. What is the smaller number?
  4. 4.The sum of two numbers is 116 and their difference is 74. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 50. What is the smaller number?
  6. 6.The sum of two numbers is 50 and their difference is 36. What is the larger number?
  7. 7.The sum of two numbers is 80 and their difference is 8. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 9. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 154. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  13. 13.The sum of two numbers is 109 and their difference is 41. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 64. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 90. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 54. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  22. 22.The sum of two numbers is 116 and their difference is 64. What is the smaller number?
  23. 23.The sum of two numbers is 74 and their difference is 32. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 85. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 33. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 23. What is the smaller number?
  30. 30.The sum of two numbers is 110 and their difference is 46. What is the larger number?
  31. 31.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  33. 33.The sum of two numbers is 99 and their difference is 13. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.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?
  36. 36.The sum of two numbers is 134 and their difference is 50. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 66. What is the smallest of them?

Answer key

  1. 14
  2. 45
  3. 16
  4. 21
  5. 25
  6. 43
  7. 36
  8. 9
  9. 58
  10. 40
  11. 89
  12. 25
  13. 34
  14. 8
  15. 26
  16. 67
  17. 32
  18. 30
  19. 27
  20. 37
  21. 24
  22. 26
  23. 53
  24. 19
  25. 6
  26. 48
  27. 24
  28. 12
  29. 23
  30. 78
  31. 52
  32. 18
  33. 43
  34. 38
  35. 16
  36. 42
  37. 24
  38. 52
  39. 40
  40. 15

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