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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 215 · 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 205. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 110. What is the largest of them?
  3. 3.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?
  4. 4.One number is 2 times another. Their difference is 3. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 26. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 255. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  10. 10.The sum of two numbers is 98 and their difference is 28. What is the larger number?
  11. 11.One number is 3 times another. Their difference is 70. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 135. What is the largest of them?
  16. 16.The sum of two numbers is 72 and their difference is 30. What is the smaller number?
  17. 17.The sum of two numbers is 41 and their difference is 5. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 108. What is the largest of them?
  19. 19.The sum of two numbers is 40 and their difference is 18. What is the smaller number?
  20. 20.The sum of two numbers is 40 and their difference is 6. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  23. 23.The sum of two numbers is 47 and their difference is 13. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  25. 25.One number is 5 times another. Their difference is 136. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 4 consecutive numbers is 74. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 14. What is the smaller number?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 72. What is the smaller number?
  34. 34.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?
  35. 35.One number is 2 times another. Their difference is 21. What is the smaller number?
  36. 36.The sum of two numbers is 76 and their difference is 4. What is the smaller number?
  37. 37.The sum of two numbers is 62 and their difference is 40. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  39. 39.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 55. What is the largest of them?

Answer key

  1. 39
  2. 29
  3. 59
  4. 3
  5. 13
  6. 27
  7. 19
  8. 53
  9. 36
  10. 63
  11. 35
  12. 58
  13. 78
  14. 70
  15. 46
  16. 21
  17. 23
  18. 37
  19. 11
  20. 17
  21. 67
  22. 57
  23. 17
  24. 19
  25. 34
  26. 79
  27. 20
  28. 6
  29. 7
  30. 45
  31. 56
  32. 39
  33. 24
  34. 69
  35. 21
  36. 36
  37. 11
  38. 28
  39. 34
  40. 13

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