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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 734 · 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 108 and their difference is 36. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 48. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 126 and their difference is 62. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 114. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 18. What is the smaller number?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  10. 10.The sum of two numbers is 57 and their difference is 15. What is the smaller number?
  11. 11.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?
  12. 12.One number is 6 times another. Their difference is 40. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 54. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  17. 17.The sum of two numbers is 29 and their difference is 5. What is the larger number?
  18. 18.One number is 6 times another. Their difference is 195. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 58. What is the largest of them?
  21. 21.The sum of two numbers is 138 and their difference is 6. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  23. 23.The sum of two numbers is 162 and their difference is 26. What is the larger number?
  24. 24.The sum of 4 consecutive numbers is 226. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 195. What is the largest of them?
  26. 26.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?
  27. 27.One number is 6 times another. Their difference is 120. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  29. 29.The sum of two numbers is 70 and their difference is 2. What is the larger number?
  30. 30.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of two numbers is 48 and their difference is 12. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  34. 34.The sum of two numbers is 71 and their difference is 53. What is the larger number?
  35. 35.The sum of two numbers is 33 and their difference is 17. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 159. What is the largest of them?

Answer key

  1. 72
  2. 34
  3. 24
  4. 16
  5. 32
  6. 30
  7. 18
  8. 78
  9. 26
  10. 21
  11. 24
  12. 8
  13. 58
  14. 27
  15. 27
  16. 48
  17. 17
  18. 39
  19. 21
  20. 16
  21. 66
  22. 44
  23. 94
  24. 58
  25. 41
  26. 37
  27. 24
  28. 9
  29. 36
  30. 56
  31. 18
  32. 70
  33. 18
  34. 62
  35. 8
  36. 24
  37. 14
  38. 57
  39. 77
  40. 55

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