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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 372 · 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 numbers is 48. What is the smallest of them?
  2. 2.One number is 2 times another. Their difference is 23. What is the smaller number?
  3. 3.The sum of two numbers is 77 and their difference is 27. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of two numbers is 85 and their difference is 71. What is the larger number?
  8. 8.One number is 3 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 42. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 65. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 40. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 46. What is the largest of them?
  14. 14.The sum of two numbers is 37 and their difference is 35. What is the larger number?
  15. 15.The sum of two numbers is 82 and their difference is 76. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 78. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 108. 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 54. What is the number?
  19. 19.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 18. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  25. 25.The sum of two numbers is 42 and their difference is 30. What is the larger number?
  26. 26.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 21. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 114. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 144. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 99. What is the largest of them?
  39. 39.The sum of two numbers is 83 and their difference is 55. What is the larger number?
  40. 40.The sum of two numbers is 72 and their difference is 30. What is the larger number?

Answer key

  1. 15
  2. 23
  3. 25
  4. 54
  5. 78
  6. 35
  7. 78
  8. 6
  9. 78
  10. 14
  11. 15
  12. 40
  13. 13
  14. 36
  15. 79
  16. 21
  17. 36
  18. 39
  19. 37
  20. 46
  21. 6
  22. 78
  23. 18
  24. 36
  25. 36
  26. 66
  27. 8
  28. 12
  29. 26
  30. 47
  31. 38
  32. 34
  33. 46
  34. 43
  35. 39
  36. 36
  37. 89
  38. 34
  39. 69
  40. 51

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