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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 950 · 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 111. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 140. What is the smaller number?
  3. 3.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  4. 4.One number is 4 times another. Their difference is 78. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.The sum of 4 consecutive numbers is 170. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 51. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 120. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 100. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.The sum of two numbers is 55 and their difference is 35. What is the larger number?
  18. 18.The sum of two numbers is 64 and their difference is 56. What is the larger number?
  19. 19.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?
  20. 20.The sum of two numbers is 55 and their difference is 1. What is the larger number?
  21. 21.The sum of two numbers is 60 and their difference is 20. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  23. 23.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?
  24. 24.One number is 3 times another. Their difference is 74. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 168. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  29. 29.One number is 5 times another. Their difference is 56. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 141. What is the largest of them?
  31. 31.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  32. 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  33. 33.One number is 5 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 158. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 82. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 63. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 39. What is the smallest of them?

Answer key

  1. 38
  2. 35
  3. 23
  4. 26
  5. 15
  6. 67
  7. 44
  8. 18
  9. 70
  10. 57
  11. 65
  12. 41
  13. 25
  14. 58
  15. 6
  16. 37
  17. 45
  18. 60
  19. 49
  20. 28
  21. 20
  22. 28
  23. 35
  24. 37
  25. 58
  26. 57
  27. 6
  28. 52
  29. 14
  30. 48
  31. 10
  32. 19
  33. 6
  34. 41
  35. 41
  36. 56
  37. 22
  38. 66
  39. 22
  40. 12

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