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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 298 · 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 4 consecutive odd numbers is 272. What is the smallest of them?
  2. 2.The sum of two numbers is 83 and their difference is 7. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  6. 6.The sum of two numbers is 133 and their difference is 43. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 182. What is the largest of them?
  9. 9.The sum of two numbers is 186 and their difference is 6. What is the larger number?
  10. 10.One number is 5 times another. Their difference is 20. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  12. 12.The sum of two numbers is 27 and their difference is 11. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 58. What is the largest of them?
  14. 14.One number is 6 times another. Their difference is 25. What is the smaller number?
  15. 15.The sum of two numbers is 186 and their difference is 8. What is the larger number?
  16. 16.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 113 and their difference is 69. What is the smaller number?
  19. 19.The sum of two numbers is 31 and their difference is 15. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 80. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 180. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  24. 24.The sum of two numbers is 68 and their difference is 56. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 14. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 9. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 198. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 26. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  31. 31.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?
  32. 32.The sum of two numbers is 30 and their difference is 26. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 255. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  37. 37.The sum of two numbers is 68 and their difference is 34. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 27. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 75. What is the largest of them?
  40. 40.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?

Answer key

  1. 65
  2. 38
  3. 11
  4. 22
  5. 39
  6. 45
  7. 49
  8. 47
  9. 96
  10. 5
  11. 30
  12. 8
  13. 16
  14. 5
  15. 97
  16. 29
  17. 34
  18. 22
  19. 8
  20. 40
  21. 6
  22. 36
  23. 81
  24. 6
  25. 7
  26. 9
  27. 20
  28. 51
  29. 13
  30. 48
  31. 69
  32. 2
  33. 39
  34. 53
  35. 41
  36. 6
  37. 17
  38. 27
  39. 17
  40. 68

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