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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 242 · 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 odd numbers is 207. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  4. 4.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?
  5. 5.One number is 3 times another. Their difference is 54. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 102. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 129. What is the largest of them?
  17. 17.The sum of two numbers is 77 and their difference is 9. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 13. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 170. What is the largest of them?
  21. 21.The sum of two numbers is 141 and their difference is 19. What is the smaller number?
  22. 22.The sum of two numbers is 124 and their difference is 2. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 50. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 165. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 9. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 24. What is the smaller number?
  27. 27.The sum of two numbers is 101 and their difference is 51. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 112. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 153. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 222. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  32. 32.The sum of two numbers is 64 and their difference is 32. What is the larger number?
  33. 33.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  34. 34.The sum of two numbers is 122 and their difference is 26. What is the larger number?
  35. 35.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  36. 36.One number is 2 times another. Their difference is 25. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  38. 38.The sum of two numbers is 40 and their difference is 28. What is the larger number?
  39. 39.One number is 2 times another. Their difference is 8. What is the smaller number?
  40. 40.The sum of two numbers is 118 and their difference is 64. What is the smaller number?

Answer key

  1. 67
  2. 23
  3. 42
  4. 89
  5. 27
  6. 55
  7. 36
  8. 28
  9. 27
  10. 67
  11. 60
  12. 27
  13. 12
  14. 45
  15. 52
  16. 44
  17. 34
  18. 13
  19. 56
  20. 44
  21. 61
  22. 61
  23. 14
  24. 35
  25. 9
  26. 8
  27. 25
  28. 28
  29. 52
  30. 57
  31. 58
  32. 48
  33. 55
  34. 74
  35. 29
  36. 25
  37. 20
  38. 34
  39. 8
  40. 27

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