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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 661 · 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.One number is 3 times another. Their difference is 76. What is the smaller number?
  2. 2.The sum of two numbers is 76 and their difference is 52. What is the larger number?
  3. 3.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 85. What is the largest of them?
  10. 10.The sum of two numbers is 120 and their difference is 36. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 185. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 80. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  18. 18.The sum of two numbers is 92 and their difference is 32. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  22. 22.The sum of two numbers is 24 and their difference is 8. What is the larger number?
  23. 23.The sum of two numbers is 65 and their difference is 51. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  28. 28.The sum of two numbers is 80 and their difference is 8. What is the larger number?
  29. 29.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 136. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of two numbers is 168 and their difference is 24. What is the larger number?
  35. 35.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?
  36. 36.The sum of two numbers is 26 and their difference is 4. What is the larger number?
  37. 37.One number is 3 times another. Their difference is 22. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 60. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?

Answer key

  1. 38
  2. 64
  3. 13
  4. 68
  5. 28
  6. 6
  7. 24
  8. 7
  9. 19
  10. 42
  11. 37
  12. 40
  13. 16
  14. 57
  15. 69
  16. 11
  17. 26
  18. 30
  19. 59
  20. 53
  21. 49
  22. 16
  23. 58
  24. 21
  25. 33
  26. 30
  27. 57
  28. 44
  29. 37
  30. 34
  31. 39
  32. 34
  33. 12
  34. 96
  35. 24
  36. 15
  37. 11
  38. 59
  39. 12
  40. 25

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