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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 851 · 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 2 times another. Their difference is 13. What is the smaller number?
  2. 2.The sum of two numbers is 81 and their difference is 7. What is the smaller number?
  3. 3.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  6. 6.The sum of two numbers is 156 and their difference is 14. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 156. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  9. 9.The sum of two numbers is 26 and their difference is 24. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 51. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 90. What is the largest of them?
  12. 12.The sum of two numbers is 17 and their difference is 15. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  14. 14.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 162. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 290. What is the largest of them?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.One number is 2 times another. Their difference is 22. What is the smaller number?
  23. 23.The sum of two numbers is 87 and their difference is 27. What is the smaller number?
  24. 24.The sum of two numbers is 82 and their difference is 64. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 25. What is the smaller number?
  26. 26.The sum of two numbers is 179 and their difference is 5. What is the larger number?
  27. 27.The sum of two numbers is 41 and their difference is 15. What is the larger number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 222. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 14. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 18. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 64. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 26. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 38. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 24. What is the largest of them?

Answer key

  1. 13
  2. 37
  3. 4
  4. 15
  5. 25
  6. 71
  7. 53
  8. 10
  9. 25
  10. 18
  11. 31
  12. 16
  13. 15
  14. 20
  15. 42
  16. 6
  17. 60
  18. 58
  19. 69
  20. 25
  21. 45
  22. 22
  23. 30
  24. 9
  25. 25
  26. 92
  27. 28
  28. 34
  29. 65
  30. 57
  31. 7
  32. 9
  33. 17
  34. 45
  35. 32
  36. 13
  37. 13
  38. 38
  39. 24
  40. 9

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