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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 911 · 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 odd numbers is 256. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  3. 3.One number is 4 times another. Their difference is 114. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 154. What is the largest of them?
  5. 5.The sum of two numbers is 89 and their difference is 33. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 36. What is the smaller number?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of two numbers is 51 and their difference is 7. What is the larger number?
  11. 11.The sum of 4 consecutive numbers is 118. What is the largest of them?
  12. 12.The sum of two numbers is 58 and their difference is 12. What is the smaller number?
  13. 13.The sum of two numbers is 113 and their difference is 77. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 26. What is the largest of them?
  17. 17.The sum of two numbers is 103 and their difference is 9. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 24. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 77 and their difference is 23. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  26. 26.The sum of two numbers is 22 and their difference is 14. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.One number is 4 times another. Their difference is 105. What is the smaller number?
  31. 31.The sum of two numbers is 89 and their difference is 47. What is the larger number?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 165. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.One number is 3 times another. Their difference is 20. What is the smaller number?
  39. 39.The sum of two numbers is 84 and their difference is 46. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 175. What is the smaller number?

Answer key

  1. 61
  2. 73
  3. 38
  4. 40
  5. 61
  6. 7
  7. 12
  8. 24
  9. 46
  10. 29
  11. 31
  12. 23
  13. 18
  14. 31
  15. 58
  16. 8
  17. 47
  18. 40
  19. 9
  20. 14
  21. 27
  22. 78
  23. 5
  24. 38
  25. 52
  26. 18
  27. 37
  28. 29
  29. 37
  30. 35
  31. 68
  32. 15
  33. 9
  34. 17
  35. 56
  36. 24
  37. 16
  38. 10
  39. 65
  40. 35

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