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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 235 · 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.One number is 3 times another. Their difference is 44. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 129. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 111. What is the smaller number?
  4. 4.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?
  5. 5.One number is 6 times another. Their difference is 140. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 270. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.One number is 4 times another. Their difference is 24. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 31. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 35. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  14. 14.One number is 3 times another. Their difference is 18. What is the smaller number?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 50. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  20. 20.One number is 6 times another. Their difference is 200. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  22. 22.One number is 3 times another. Their difference is 58. What is the smaller number?
  23. 23.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?
  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 3 consecutive numbers is 24. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  29. 29.The sum of two numbers is 76 and their difference is 10. What is the larger number?
  30. 30.The sum of two numbers is 81 and their difference is 1. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  32. 32.The sum of two numbers is 37 and their difference is 7. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  35. 35.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?
  36. 36.One number is 4 times another. Their difference is 120. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 34. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 198. What is the smallest of them?

Answer key

  1. 22
  2. 44
  3. 37
  4. 34
  5. 28
  6. 56
  7. 27
  8. 8
  9. 31
  10. 7
  11. 56
  12. 11
  13. 15
  14. 9
  15. 48
  16. 46
  17. 25
  18. 41
  19. 45
  20. 40
  21. 30
  22. 29
  23. 57
  24. 59
  25. 7
  26. 55
  27. 26
  28. 38
  29. 43
  30. 41
  31. 20
  32. 15
  33. 59
  34. 39
  35. 78
  36. 40
  37. 58
  38. 42
  39. 10
  40. 48

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