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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 444 · 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 11. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 48. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 40. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 40. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 102. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.One number is 3 times another. Their difference is 54. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 21. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 250. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 116. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 93. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 4 times another. Their difference is 57. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 202. What is the largest of them?
  21. 21.The sum of two numbers is 80 and their difference is 8. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 12. What is the smaller number?
  23. 23.The sum of two numbers is 97 and their difference is 3. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of two numbers is 138 and their difference is 38. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 36. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of 3 consecutive numbers is 120. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  31. 31.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?
  32. 32.One number is 5 times another. Their difference is 28. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 270. What is the largest of them?
  34. 34.The sum of two numbers is 158 and their difference is 26. What is the larger number?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 36. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 140. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 48. What is the smallest of them?

Answer key

  1. 47
  2. 39
  3. 17
  4. 40
  5. 10
  6. 35
  7. 14
  8. 27
  9. 8
  10. 7
  11. 52
  12. 29
  13. 32
  14. 23
  15. 78
  16. 34
  17. 19
  18. 48
  19. 45
  20. 52
  21. 36
  22. 12
  23. 47
  24. 35
  25. 50
  26. 48
  27. 36
  28. 26
  29. 41
  30. 37
  31. 69
  32. 7
  33. 56
  34. 92
  35. 57
  36. 26
  37. 13
  38. 35
  39. 44
  40. 14

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