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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 255 · 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 91 and their difference is 41. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 30. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 56. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  9. 9.The sum of two numbers is 142 and their difference is 16. What is the larger number?
  10. 10.The sum of two numbers is 21 and their difference is 11. What is the larger number?
  11. 11.The sum of two numbers is 58 and their difference is 22. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 74. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 9. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  16. 16.The sum of two numbers is 98 and their difference is 48. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  19. 19.One number is 2 times another. Their difference is 34. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  24. 24.The sum of two numbers is 109 and their difference is 13. What is the larger number?
  25. 25.The sum of two numbers is 93 and their difference is 75. What is the larger number?
  26. 26.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?
  27. 27.One number is 3 times another. Their difference is 44. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 92. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  33. 33.One number is 6 times another. Their difference is 60. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 39. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 50. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 80. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 102. What is the smaller number?

Answer key

  1. 25
  2. 23
  3. 15
  4. 14
  5. 52
  6. 25
  7. 38
  8. 82
  9. 79
  10. 16
  11. 18
  12. 37
  13. 3
  14. 73
  15. 24
  16. 25
  17. 46
  18. 65
  19. 34
  20. 78
  21. 69
  22. 10
  23. 19
  24. 61
  25. 84
  26. 29
  27. 22
  28. 23
  29. 69
  30. 63
  31. 24
  32. 13
  33. 12
  34. 59
  35. 39
  36. 52
  37. 25
  38. 28
  39. 40
  40. 34

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