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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 928 · 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 even numbers is 222. What is the smallest of them?
  2. 2.The sum of two numbers is 46 and their difference is 2. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 150. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  6. 6.The sum of two numbers is 146 and their difference is 46. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 89 and their difference is 27. What is the larger number?
  12. 12.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  15. 15.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?
  16. 16.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  18. 18.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?
  19. 19.One number is 3 times another. Their difference is 66. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.The sum of 4 consecutive numbers is 54. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 165. What is the largest of them?
  24. 24.The sum of two numbers is 47 and their difference is 37. What is the larger number?
  25. 25.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  27. 27.The sum of two numbers is 155 and their difference is 21. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 102. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 7. What is the smaller number?
  34. 34.The sum of two numbers is 127 and their difference is 53. What is the larger number?
  35. 35.The sum of two numbers is 71 and their difference is 41. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive numbers is 74. What is the largest of them?

Answer key

  1. 72
  2. 24
  3. 32
  4. 42
  5. 30
  6. 96
  7. 52
  8. 14
  9. 59
  10. 45
  11. 58
  12. 41
  13. 36
  14. 52
  15. 58
  16. 79
  17. 45
  18. 25
  19. 33
  20. 47
  21. 68
  22. 15
  23. 35
  24. 42
  25. 43
  26. 81
  27. 88
  28. 68
  29. 33
  30. 47
  31. 47
  32. 34
  33. 7
  34. 90
  35. 15
  36. 56
  37. 29
  38. 51
  39. 67
  40. 20

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