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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 833 · 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 3 consecutive numbers is 48. What is the largest of them?
  2. 2.The sum of two numbers is 72 and their difference is 24. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 111. What is the smaller number?
  4. 4.The sum of two numbers is 27 and their difference is 9. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 150. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 31 and their difference is 3. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  11. 11.One number is 5 times another. Their difference is 140. What is the smaller number?
  12. 12.The sum of two numbers is 139 and their difference is 53. What is the larger number?
  13. 13.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 56. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  22. 22.The sum of two numbers is 95 and their difference is 51. What is the smaller number?
  23. 23.The sum of two numbers is 151 and their difference is 11. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of two numbers is 40 and their difference is 26. What is the larger number?
  27. 27.The sum of two numbers is 85 and their difference is 55. What is the larger number?
  28. 28.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  30. 30.One number is 3 times another. Their difference is 26. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  32. 32.The sum of two numbers is 121 and their difference is 23. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 175. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 90. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 135. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 220. What is the largest of them?
  38. 38.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
  39. 39.The sum of two numbers is 15 and their difference is 7. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 12. What is the smaller number?

Answer key

  1. 17
  2. 24
  3. 37
  4. 18
  5. 77
  6. 64
  7. 30
  8. 78
  9. 14
  10. 78
  11. 35
  12. 96
  13. 18
  14. 53
  15. 38
  16. 45
  17. 27
  18. 33
  19. 14
  20. 67
  21. 19
  22. 22
  23. 81
  24. 55
  25. 13
  26. 33
  27. 70
  28. 8
  29. 16
  30. 13
  31. 26
  32. 72
  33. 37
  34. 30
  35. 27
  36. 40
  37. 46
  38. 7
  39. 4
  40. 12

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