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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 864 · 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 4 consecutive numbers is 174. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 168. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 30. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 81. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  10. 10.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  11. 11.One number is 5 times another. Their difference is 68. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 150. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  21. 21.The sum of two numbers is 157 and their difference is 11. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 84. What is the largest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 20 and their difference is 18. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 29. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 38. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 9. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 26. What is the largest of them?
  30. 30.The sum of two numbers is 47 and their difference is 3. What is the larger number?
  31. 31.The sum of two numbers is 24 and their difference is 14. What is the larger number?
  32. 32.One number is 5 times another. Their difference is 76. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 240. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  36. 36.The sum of two numbers is 29 and their difference is 17. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 57. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 126. What is the largest of them?
  40. 40.One number is 6 times another. Their difference is 135. What is the smaller number?

Answer key

  1. 42
  2. 38
  3. 21
  4. 18
  5. 44
  6. 57
  7. 30
  8. 27
  9. 10
  10. 69
  11. 17
  12. 53
  13. 29
  14. 46
  15. 89
  16. 20
  17. 34
  18. 19
  19. 51
  20. 24
  21. 73
  22. 29
  23. 56
  24. 1
  25. 29
  26. 31
  27. 38
  28. 9
  29. 8
  30. 25
  31. 19
  32. 19
  33. 66
  34. 50
  35. 48
  36. 6
  37. 20
  38. 27
  39. 43
  40. 27

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