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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 985 · 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 138. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 215. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 45. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  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 3 consecutive odd numbers is 75. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 130 and their difference is 40. What is the larger number?
  12. 12.One number is 6 times another. Their difference is 200. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 28. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.One number is 5 times another. Their difference is 20. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 134. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 24. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of two numbers is 48 and their difference is 18. What is the smaller number?
  21. 21.One number is 5 times another. Their difference is 68. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 125. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 36. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 44. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 120. What is the smaller number?
  30. 30.The sum of two numbers is 154 and their difference is 20. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 114. What is the smaller number?
  37. 37.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?
  38. 38.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 4 consecutive numbers is 158. What is the largest of them?
  40. 40.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?

Answer key

  1. 33
  2. 45
  3. 11
  4. 9
  5. 13
  6. 45
  7. 78
  8. 59
  9. 23
  10. 89
  11. 85
  12. 40
  13. 7
  14. 58
  15. 5
  16. 35
  17. 81
  18. 6
  19. 37
  20. 15
  21. 17
  22. 25
  23. 36
  24. 12
  25. 14
  26. 29
  27. 22
  28. 37
  29. 30
  30. 67
  31. 74
  32. 58
  33. 33
  34. 56
  35. 48
  36. 38
  37. 24
  38. 79
  39. 41
  40. 39

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