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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 898 · 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 9. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 54. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 290. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 18. What is the smaller number?
  9. 9.The sum of two numbers is 154 and their difference is 18. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  12. 12.The sum of two numbers is 71 and their difference is 19. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 26. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 100. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 56. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  19. 19.The sum of two numbers is 33 and their difference is 17. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 80. What is the smaller number?
  21. 21.The sum of two numbers is 52 and their difference is 32. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 44 and their difference is 30. What is the larger number?
  24. 24.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?
  25. 25.The sum of two numbers is 87 and their difference is 15. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 60. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 175. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 110. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 26. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  32. 32.One number is 4 times another. Their difference is 15. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 34. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 112. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 19. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 132. What is the smallest of them?

Answer key

  1. 36
  2. 46
  3. 19
  4. 38
  5. 59
  6. 33
  7. 60
  8. 6
  9. 68
  10. 23
  11. 49
  12. 26
  13. 8
  14. 58
  15. 20
  16. 22
  17. 28
  18. 18
  19. 8
  20. 16
  21. 10
  22. 23
  23. 37
  24. 59
  25. 51
  26. 21
  27. 37
  28. 29
  29. 26
  30. 80
  31. 66
  32. 5
  33. 12
  34. 49
  35. 9
  36. 10
  37. 28
  38. 37
  39. 19
  40. 43

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