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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 170 · 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 5 consecutive numbers is 125. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 215. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  5. 5.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?
  6. 6.One number is 4 times another. Their difference is 93. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 310. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 20. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 38. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 13. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 21. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 66. What is the largest of them?
  14. 14.The sum of two numbers is 123 and their difference is 55. What is the larger number?
  15. 15.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 180. What is the largest of them?
  20. 20.The sum of two numbers is 69 and their difference is 51. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 14. What is the smaller number?
  22. 22.The sum of two numbers is 131 and their difference is 55. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  27. 27.The sum of two numbers is 32 and their difference is 26. What is the larger number?
  28. 28.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  30. 30.The sum of two numbers is 56 and their difference is 12. What is the larger number?
  31. 31.The sum of two numbers is 22 and their difference is 6. What is the larger number?
  32. 32.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 30. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 190. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 110. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 3. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 288. What is the largest of them?

Answer key

  1. 23
  2. 45
  3. 38
  4. 11
  5. 45
  6. 31
  7. 36
  8. 64
  9. 4
  10. 11
  11. 13
  12. 7
  13. 23
  14. 89
  15. 48
  16. 55
  17. 57
  18. 16
  19. 61
  20. 9
  21. 14
  22. 93
  23. 39
  24. 27
  25. 63
  26. 34
  27. 29
  28. 59
  29. 37
  30. 34
  31. 14
  32. 17
  33. 9
  34. 38
  35. 14
  36. 79
  37. 30
  38. 24
  39. 3
  40. 75

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