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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 785 · 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 two numbers is 67 and their difference is 13. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  6. 6.The sum of two numbers is 91 and their difference is 57. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 58. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 104. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 60. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 14. What is the smaller number?
  13. 13.The sum of two numbers is 37 and their difference is 9. What is the smaller number?
  14. 14.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?
  15. 15.The sum of two numbers is 138 and their difference is 36. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.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?
  18. 18.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  19. 19.The sum of two numbers is 37 and their difference is 1. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 32. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 63. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 34. What is the smaller number?
  27. 27.The sum of two numbers is 116 and their difference is 52. What is the smaller number?
  28. 28.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  29. 29.The sum of two numbers is 94 and their difference is 8. What is the larger number?
  30. 30.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  31. 31.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  33. 33.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 13. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  36. 36.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?
  37. 37.One number is 5 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 15. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 141. What is the largest of them?

Answer key

  1. 27
  2. 58
  3. 44
  4. 27
  5. 18
  6. 17
  7. 16
  8. 26
  9. 34
  10. 21
  11. 69
  12. 14
  13. 14
  14. 37
  15. 51
  16. 23
  17. 89
  18. 71
  19. 19
  20. 22
  21. 16
  22. 55
  23. 22
  24. 29
  25. 30
  26. 17
  27. 32
  28. 21
  29. 51
  30. 11
  31. 12
  32. 32
  33. 6
  34. 13
  35. 78
  36. 78
  37. 10
  38. 53
  39. 3
  40. 49

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