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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 663 · 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 numbers is 58. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  5. 5.The sum of two numbers is 25 and their difference is 17. What is the larger number?
  6. 6.One number is 3 times another. Their difference is 72. What is the smaller number?
  7. 7.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?
  8. 8.One number is 2 times another. Their difference is 8. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 56. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 100. What is the smaller number?
  14. 14.The sum of two numbers is 105 and their difference is 37. What is the larger number?
  15. 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 5 consecutive numbers is 35. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 101 and their difference is 49. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 40. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 50 and their difference is 30. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 94. What is the largest of them?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 125. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 114. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 129. What is the largest of them?
  28. 28.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?
  29. 29.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?
  30. 30.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?
  31. 31.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  32. 32.The sum of two numbers is 67 and their difference is 17. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  36. 36.One number is 4 times another. Their difference is 42. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  38. 38.The sum of two numbers is 34 and their difference is 24. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  40. 40.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?

Answer key

  1. 16
  2. 38
  3. 31
  4. 49
  5. 21
  6. 36
  7. 79
  8. 8
  9. 26
  10. 31
  11. 16
  12. 28
  13. 25
  14. 71
  15. 34
  16. 9
  17. 25
  18. 27
  19. 26
  20. 10
  21. 67
  22. 10
  23. 25
  24. 69
  25. 25
  26. 38
  27. 44
  28. 57
  29. 68
  30. 89
  31. 56
  32. 25
  33. 16
  34. 34
  35. 54
  36. 14
  37. 21
  38. 29
  39. 7
  40. 56

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