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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 687 · 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 6 times another. Their difference is 125. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 48. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 14. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 125. What is the largest of them?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 24. What is the smaller number?
  9. 9.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?
  10. 10.One number is 2 times another. Their difference is 35. What is the smaller number?
  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 numbers is 130. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  14. 14.The sum of two numbers is 43 and their difference is 37. What is the larger number?
  15. 15.The sum of two numbers is 127 and their difference is 39. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  19. 19.One number is 2 times another. Their difference is 4. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 32. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 255. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 117. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 50. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 130. What is the largest of them?
  31. 31.The sum of two numbers is 66 and their difference is 14. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.One number is 3 times another. Their difference is 8. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 114. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.The sum of two numbers is 84 and their difference is 42. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 24. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 42. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 30. What is the largest of them?

Answer key

  1. 25
  2. 16
  3. 85
  4. 80
  5. 7
  6. 27
  7. 35
  8. 12
  9. 68
  10. 35
  11. 89
  12. 34
  13. 54
  14. 40
  15. 83
  16. 12
  17. 46
  18. 29
  19. 4
  20. 32
  21. 16
  22. 22
  23. 45
  24. 53
  25. 19
  26. 39
  27. 17
  28. 55
  29. 12
  30. 28
  31. 26
  32. 19
  33. 28
  34. 4
  35. 38
  36. 24
  37. 21
  38. 8
  39. 14
  40. 9

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