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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 556 · 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 odd numbers is 117. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  3. 3.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?
  4. 4.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?
  5. 5.One number is 2 times another. Their difference is 32. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  9. 9.The sum of two numbers is 21 and their difference is 17. What is the larger number?
  10. 10.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?
  11. 11.One number is 6 times another. Their difference is 110. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of two numbers is 83 and their difference is 33. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 21. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 156. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 25. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  21. 21.The sum of two numbers is 17 and their difference is 11. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 168. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 5. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  26. 26.The sum of two numbers is 31 and their difference is 11. What is the larger number?
  27. 27.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  30. 30.The sum of two numbers is 159 and their difference is 17. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.One number is 6 times another. Their difference is 75. What is the smaller number?
  33. 33.The sum of two numbers is 149 and their difference is 27. What is the larger number?
  34. 34.The sum of two numbers is 47 and their difference is 9. What is the larger number?
  35. 35.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 95. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 170. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The sum of two numbers is 16 and their difference is 4. What is the smaller number?

Answer key

  1. 37
  2. 61
  3. 17
  4. 79
  5. 32
  6. 11
  7. 81
  8. 54
  9. 19
  10. 89
  11. 22
  12. 25
  13. 51
  14. 34
  15. 25
  16. 21
  17. 39
  18. 5
  19. 35
  20. 68
  21. 14
  22. 57
  23. 61
  24. 5
  25. 51
  26. 21
  27. 72
  28. 47
  29. 17
  30. 71
  31. 48
  32. 15
  33. 88
  34. 28
  35. 30
  36. 19
  37. 68
  38. 44
  39. 46
  40. 6

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