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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 902 · 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 even numbers is 30. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 16. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  6. 6.The sum of two numbers is 93 and their difference is 51. What is the larger number?
  7. 7.The sum of two numbers is 105 and their difference is 27. What is the larger number?
  8. 8.The sum of two numbers is 74 and their difference is 42. What is the larger number?
  9. 9.One number is 6 times another. Their difference is 55. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  11. 11.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  12. 12.The sum of two numbers is 53 and their difference is 1. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 50. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  16. 16.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  17. 17.One number is 4 times another. Their difference is 21. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 148. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  24. 24.The sum of two numbers is 52 and their difference is 50. What is the larger number?
  25. 25.One number is 3 times another. Their difference is 62. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  28. 28.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?
  29. 29.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?
  30. 30.One number is 5 times another. Their difference is 108. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 4. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 19. What is the smaller number?
  33. 33.The sum of two numbers is 41 and their difference is 15. What is the larger number?
  34. 34.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  35. 35.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.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?
  40. 40.The sum of 4 consecutive even numbers is 212. What is the smallest of them?

Answer key

  1. 8
  2. 9
  3. 21
  4. 4
  5. 24
  6. 72
  7. 66
  8. 58
  9. 11
  10. 50
  11. 21
  12. 26
  13. 55
  14. 12
  15. 17
  16. 19
  17. 7
  18. 30
  19. 51
  20. 41
  21. 52
  22. 37
  23. 49
  24. 51
  25. 31
  26. 78
  27. 55
  28. 58
  29. 68
  30. 27
  31. 4
  32. 19
  33. 28
  34. 17
  35. 12
  36. 25
  37. 53
  38. 15
  39. 37
  40. 50

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