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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 925 · 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 72. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 156. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 27. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 64. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  6. 6.The sum of two numbers is 25 and their difference is 11. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  8. 8.The sum of two numbers is 72 and their difference is 38. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 270. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  15. 15.The sum of two numbers is 162 and their difference is 10. What is the larger number?
  16. 16.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  17. 17.The sum of two numbers is 49 and their difference is 47. What is the larger number?
  18. 18.The sum of two numbers is 105 and their difference is 69. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  20. 20.The sum of two numbers is 69 and their difference is 27. What is the larger number?
  21. 21.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 65 and their difference is 53. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  24. 24.The sum of two numbers is 164 and their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  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 odd numbers is 280. What is the largest of them?
  28. 28.One number is 4 times another. Their difference is 42. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 33 and their difference is 13. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 21. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  35. 35.The sum of two numbers is 118 and their difference is 16. What is the larger number?
  36. 36.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  39. 39.The sum of two numbers is 49 and their difference is 3. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 60. What is the largest of them?

Answer key

  1. 15
  2. 53
  3. 9
  4. 16
  5. 36
  6. 7
  7. 43
  8. 17
  9. 68
  10. 40
  11. 27
  12. 56
  13. 10
  14. 45
  15. 86
  16. 14
  17. 48
  18. 87
  19. 60
  20. 48
  21. 23
  22. 6
  23. 17
  24. 75
  25. 47
  26. 78
  27. 73
  28. 14
  29. 17
  30. 59
  31. 10
  32. 7
  33. 56
  34. 27
  35. 67
  36. 8
  37. 26
  38. 72
  39. 23
  40. 14

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