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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 746 · 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 95 and their difference is 29. What is the smaller number?
  2. 2.The sum of two numbers is 83 and their difference is 63. What is the larger number?
  3. 3.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  7. 7.The sum of two numbers is 100 and their difference is 14. What is the larger number?
  8. 8.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?
  9. 9.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 70. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 16. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 39. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  16. 16.The sum of two numbers is 13 and their difference is 7. What is the larger number?
  17. 17.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  19. 19.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?
  20. 20.One number is 3 times another. Their difference is 46. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 153. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 130. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.One number is 3 times another. Their difference is 74. What is the smaller number?
  28. 28.The sum of two numbers is 12 and their difference is 8. What is the larger number?
  29. 29.One number is 4 times another. Their difference is 15. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.One number is 4 times another. Their difference is 24. What is the smaller number?
  32. 32.The sum of two numbers is 59 and their difference is 37. What is the larger number?
  33. 33.One number is 3 times another. Their difference is 28. What is the smaller number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  37. 37.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 114. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 150. What is the smallest of them?

Answer key

  1. 33
  2. 73
  3. 55
  4. 8
  5. 89
  6. 61
  7. 57
  8. 59
  9. 31
  10. 86
  11. 19
  12. 4
  13. 22
  14. 14
  15. 40
  16. 10
  17. 9
  18. 84
  19. 69
  20. 23
  21. 19
  22. 52
  23. 28
  24. 11
  25. 33
  26. 13
  27. 37
  28. 10
  29. 5
  30. 68
  31. 8
  32. 48
  33. 14
  34. 16
  35. 67
  36. 17
  37. 23
  38. 39
  39. 35
  40. 28

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