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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 21 · 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 175. What is the smaller number?
  2. 2.The sum of two numbers is 113 and their difference is 21. What is the smaller number?
  3. 3.The sum of two numbers is 116 and their difference is 66. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  5. 5.The sum of two numbers is 78 and their difference is 2. What is the larger number?
  6. 6.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?
  7. 7.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  8. 8.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 110 and their difference is 28. What is the larger number?
  12. 12.The sum of two numbers is 68 and their difference is 26. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  14. 14.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?
  15. 15.One number is 4 times another. Their difference is 33. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 30. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 99. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 220. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.One number is 4 times another. Their difference is 27. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 56. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 122. 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 9. What is the number?
  25. 25.The sum of two numbers is 71 and their difference is 13. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 110. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  29. 29.The sum of two numbers is 80 and their difference is 16. What is the smaller number?
  30. 30.The sum of two numbers is 62 and their difference is 24. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  34. 34.The sum of two numbers is 56 and their difference is 38. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 185. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 51. What is the smaller number?
  37. 37.One number is 2 times another. Their difference is 6. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 40. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 290. What is the largest of them?
  40. 40.The sum of two numbers is 68 and their difference is 32. What is the larger number?

Answer key

  1. 35
  2. 46
  3. 25
  4. 36
  5. 40
  6. 89
  7. 17
  8. 7
  9. 42
  10. 29
  11. 69
  12. 21
  13. 32
  14. 69
  15. 11
  16. 9
  17. 33
  18. 24
  19. 46
  20. 25
  21. 9
  22. 14
  23. 32
  24. 78
  25. 29
  26. 22
  27. 35
  28. 35
  29. 32
  30. 43
  31. 57
  32. 58
  33. 17
  34. 9
  35. 37
  36. 17
  37. 6
  38. 10
  39. 60
  40. 50

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