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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 451 · 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 58 and their difference is 32. What is the larger number?
  2. 2.One number is 5 times another. Their difference is 52. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 18. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 33. What is the largest of them?
  5. 5.The sum of two numbers is 15 and their difference is 7. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 63. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  10. 10.The sum of two numbers is 41 and their difference is 17. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  12. 12.The sum of two numbers is 27 and their difference is 9. What is the larger number?
  13. 13.One number is 2 times another. Their difference is 8. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 160. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 70. What is the largest of them?
  18. 18.The sum of two numbers is 48 and their difference is 4. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 242. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 12. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 108. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 81. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  30. 30.One number is 3 times another. Their difference is 76. 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 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?
  33. 33.One number is 5 times another. Their difference is 100. What is the smaller number?
  34. 34.The sum of two numbers is 34 and their difference is 30. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  36. 36.One number is 6 times another. Their difference is 70. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 123. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 3. What is the smaller number?

Answer key

  1. 45
  2. 13
  3. 18
  4. 12
  5. 4
  6. 46
  7. 21
  8. 35
  9. 13
  10. 12
  11. 19
  12. 18
  13. 8
  14. 40
  15. 57
  16. 15
  17. 16
  18. 22
  19. 62
  20. 12
  21. 69
  22. 35
  23. 27
  24. 56
  25. 19
  26. 61
  27. 27
  28. 65
  29. 34
  30. 38
  31. 39
  32. 89
  33. 25
  34. 2
  35. 41
  36. 14
  37. 8
  38. 15
  39. 42
  40. 3

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