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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 618 · 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 50 and their difference is 30. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 135. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 96. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 39. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 130. What is the smaller number?
  8. 8.The sum of two numbers is 134 and their difference is 10. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 30. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of two numbers is 54 and their difference is 28. What is the larger number?
  15. 15.The sum of two numbers is 82 and their difference is 6. What is the larger number?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of two numbers is 80 and their difference is 48. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 64. What is the smaller number?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 56. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 130. What is the largest of them?
  30. 30.The sum of two numbers is 64 and their difference is 32. What is the smaller number?
  31. 31.The sum of two numbers is 63 and their difference is 3. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 60. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  39. 39.The sum of two numbers is 95 and their difference is 91. What is the larger number?
  40. 40.The sum of two numbers is 71 and their difference is 63. What is the smaller number?

Answer key

  1. 10
  2. 46
  3. 75
  4. 69
  5. 24
  6. 39
  7. 26
  8. 62
  9. 10
  10. 74
  11. 36
  12. 19
  13. 79
  14. 41
  15. 44
  16. 49
  17. 27
  18. 12
  19. 16
  20. 30
  21. 37
  22. 10
  23. 15
  24. 41
  25. 32
  26. 45
  27. 14
  28. 50
  29. 28
  30. 16
  31. 30
  32. 8
  33. 21
  34. 26
  35. 89
  36. 49
  37. 17
  38. 33
  39. 93
  40. 4

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