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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 852 · 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 195. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  7. 7.The sum of two numbers is 49 and their difference is 47. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 84. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 140. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 225. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 90. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 11. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 9. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 72. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 30. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  19. 19.The sum of two numbers is 98 and their difference is 18. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 51. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.One number is 4 times another. Their difference is 90. What is the smaller number?
  25. 25.One number is 6 times another. Their difference is 100. What is the smaller number?
  26. 26.The sum of two numbers is 43 and their difference is 3. What is the smaller number?
  27. 27.The sum of two numbers is 24 and their difference is 22. What is the larger number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 33. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 86. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  36. 36.The sum of two numbers is 155 and their difference is 5. What is the larger number?
  37. 37.The sum of two numbers is 79 and their difference is 33. What is the larger number?
  38. 38.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  39. 39.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?

Answer key

  1. 37
  2. 30
  3. 69
  4. 23
  5. 13
  6. 53
  7. 1
  8. 21
  9. 28
  10. 15
  11. 47
  12. 31
  13. 11
  14. 9
  15. 13
  16. 25
  17. 15
  18. 53
  19. 58
  20. 76
  21. 18
  22. 41
  23. 56
  24. 30
  25. 20
  26. 20
  27. 23
  28. 16
  29. 77
  30. 12
  31. 58
  32. 13
  33. 69
  34. 23
  35. 43
  36. 80
  37. 56
  38. 67
  39. 7
  40. 25

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