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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 494 · 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 5 consecutive numbers is 185. What is the smallest of them?
  2. 2.The sum of two numbers is 16 and their difference is 6. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 177. What is the largest of them?
  6. 6.The sum of two numbers is 46 and their difference is 26. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 120. What is the largest of them?
  15. 15.The sum of two numbers is 87 and their difference is 55. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 185. What is the smaller number?
  17. 17.The sum of two numbers is 99 and their difference is 29. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 108. What is the smaller number?
  19. 19.The sum of two numbers is 58 and their difference is 2. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 33. What is the largest of them?
  25. 25.The sum of two numbers is 40 and their difference is 4. What is the larger number?
  26. 26.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  27. 27.The sum of two numbers is 46 and their difference is 22. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 15. 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 10. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of two numbers is 33 and their difference is 9. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  32. 32.One number is 5 times another. Their difference is 40. What is the smaller number?
  33. 33.The sum of two numbers is 63 and their difference is 39. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 175. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 68. What is the smaller number?

Answer key

  1. 35
  2. 5
  3. 15
  4. 32
  5. 60
  6. 10
  7. 79
  8. 17
  9. 43
  10. 57
  11. 18
  12. 74
  13. 50
  14. 41
  15. 16
  16. 37
  17. 35
  18. 36
  19. 28
  20. 15
  21. 63
  22. 21
  23. 6
  24. 12
  25. 22
  26. 5
  27. 12
  28. 69
  29. 37
  30. 12
  31. 12
  32. 10
  33. 12
  34. 37
  35. 15
  36. 20
  37. 52
  38. 89
  39. 19
  40. 34

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