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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 357 · 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 5 consecutive numbers is 145. What is the smallest of them?
  2. 2.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 132. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  9. 9.The sum of two numbers is 40 and their difference is 38. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 310. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  12. 12.The sum of two numbers is 14 and their difference is 10. What is the smaller number?
  13. 13.The sum of two numbers is 68 and their difference is 36. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 45. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 108. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.One number is 6 times another. Their difference is 70. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  21. 21.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?
  22. 22.The sum of two numbers is 62 and their difference is 34. What is the larger number?
  23. 23.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 39. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 15. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  28. 28.One number is 3 times another. Their difference is 56. What is the smaller number?
  29. 29.The sum of two numbers is 187 and their difference is 11. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  31. 31.The sum of two numbers is 153 and their difference is 17. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 46. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 55. What is the smaller number?
  36. 36.The sum of two numbers is 39 and their difference is 19. What is the smaller number?
  37. 37.The sum of two numbers is 103 and their difference is 1. What is the larger number?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 230. What is the largest of them?

Answer key

  1. 27
  2. 2
  3. 19
  4. 58
  5. 16
  6. 37
  7. 33
  8. 17
  9. 1
  10. 64
  11. 51
  12. 2
  13. 16
  14. 64
  15. 15
  16. 27
  17. 28
  18. 59
  19. 14
  20. 18
  21. 89
  22. 48
  23. 19
  24. 39
  25. 11
  26. 5
  27. 15
  28. 28
  29. 99
  30. 28
  31. 68
  32. 13
  33. 16
  34. 65
  35. 11
  36. 10
  37. 52
  38. 47
  39. 7
  40. 59

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