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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 874 · 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.One number is 2 times another. Their difference is 24. What is the smaller number?
  2. 2.The sum of two numbers is 99 and their difference is 45. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 205. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 200. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 54. What is the smaller number?
  7. 7.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?
  8. 8.One number is 2 times another. Their difference is 29. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 40. What is the smaller number?
  10. 10.The sum of two numbers is 122 and their difference is 46. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  12. 12.The sum of two numbers is 147 and their difference is 5. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 140. What is the smaller number?
  14. 14.The sum of two numbers is 78 and their difference is 16. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  17. 17.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?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 15. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 92. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  25. 25.The sum of two numbers is 47 and their difference is 27. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 20. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 170. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 185. What is the largest of them?
  30. 30.The sum of two numbers is 122 and their difference is 26. What is the larger number?
  31. 31.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  35. 35.The sum of two numbers is 75 and their difference is 41. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 30. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  40. 40.One number is 4 times another. Their difference is 12. What is the smaller number?

Answer key

  1. 24
  2. 27
  3. 43
  4. 69
  5. 42
  6. 27
  7. 58
  8. 29
  9. 40
  10. 84
  11. 17
  12. 71
  13. 35
  14. 31
  15. 29
  16. 16
  17. 67
  18. 89
  19. 5
  20. 22
  21. 23
  22. 11
  23. 49
  24. 14
  25. 37
  26. 10
  27. 36
  28. 27
  29. 39
  30. 74
  31. 44
  32. 49
  33. 64
  34. 51
  35. 17
  36. 83
  37. 11
  38. 18
  39. 38
  40. 4

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