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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 449 · 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 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?
  2. 2.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 245. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 65. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 27. What is the largest of them?
  9. 9.The sum of two numbers is 59 and their difference is 3. What is the larger number?
  10. 10.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 160. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 198. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 102. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 240. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  21. 21.The sum of two numbers is 77 and their difference is 45. What is the smaller number?
  22. 22.The sum of two numbers is 126 and their difference is 72. What is the larger number?
  23. 23.One number is 2 times another. Their difference is 6. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  27. 27.The sum of two numbers is 76 and their difference is 22. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  29. 29.The sum of two numbers is 151 and their difference is 33. What is the smaller number?
  30. 30.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?
  31. 31.One number is 2 times another. Their difference is 15. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  33. 33.The sum of two numbers is 25 and their difference is 13. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 118. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 12. What is the smaller number?
  36. 36.The sum of two numbers is 13 and their difference is 7. What is the smaller number?
  37. 37.The sum of two numbers is 66 and their difference is 36. What is the smaller number?
  38. 38.The sum of two numbers is 31 and their difference is 17. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 114. What is the smallest of them?

Answer key

  1. 23
  2. 12
  3. 51
  4. 15
  5. 57
  6. 27
  7. 15
  8. 10
  9. 31
  10. 13
  11. 29
  12. 57
  13. 40
  14. 51
  15. 34
  16. 86
  17. 71
  18. 47
  19. 50
  20. 19
  21. 16
  22. 99
  23. 6
  24. 89
  25. 12
  26. 37
  27. 27
  28. 14
  29. 59
  30. 16
  31. 15
  32. 61
  33. 6
  34. 31
  35. 4
  36. 3
  37. 15
  38. 7
  39. 7
  40. 27

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