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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 468 · 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 odd numbers is 128. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  3. 3.The sum of two numbers is 99 and their difference is 63. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  5. 5.One number is 3 times another. Their difference is 26. What is the smaller number?
  6. 6.The sum of two numbers is 36 and their difference is 18. What is the smaller number?
  7. 7.The sum of two numbers is 32 and their difference is 18. What is the smaller number?
  8. 8.The sum of two numbers is 121 and their difference is 33. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  10. 10.The sum of two numbers is 121 and their difference is 41. What is the larger number?
  11. 11.The sum of two numbers is 68 and their difference is 44. What is the larger number?
  12. 12.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  19. 19.The sum of two numbers is 65 and their difference is 35. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 255. What is the largest of them?
  23. 23.The sum of two numbers is 178 and their difference is 12. What is the larger number?
  24. 24.The sum of two numbers is 99 and their difference is 87. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 56. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 160. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 63. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 55. What is the smaller number?
  32. 32.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 57. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 101 and their difference is 95. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 50. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 195. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 12. What is the smaller number?
  40. 40.The sum of two numbers is 60 and their difference is 30. What is the larger number?

Answer key

  1. 35
  2. 46
  3. 81
  4. 50
  5. 13
  6. 9
  7. 7
  8. 44
  9. 26
  10. 81
  11. 56
  12. 39
  13. 19
  14. 67
  15. 38
  16. 6
  17. 81
  18. 30
  19. 15
  20. 45
  21. 50
  22. 53
  23. 95
  24. 6
  25. 14
  26. 34
  27. 21
  28. 16
  29. 15
  30. 40
  31. 11
  32. 21
  33. 50
  34. 20
  35. 68
  36. 3
  37. 25
  38. 39
  39. 6
  40. 45

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