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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 390 · 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 numbers is 27. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  3. 3.The sum of two numbers is 151 and their difference is 35. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 205. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  7. 7.The sum of two numbers is 81 and their difference is 49. What is the larger number?
  8. 8.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 218. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 190. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of 3 consecutive numbers is 129. What is the largest of them?
  19. 19.The sum of two numbers is 32 and their difference is 20. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 120. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  23. 23.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?
  24. 24.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  26. 26.The sum of two numbers is 75 and their difference is 45. What is the smaller number?
  27. 27.The sum of two numbers is 145 and their difference is 13. What is the smaller number?
  28. 28.The sum of two numbers is 55 and their difference is 3. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 81. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 72. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  34. 34.The sum of two numbers is 73 and their difference is 47. What is the larger number?
  35. 35.One number is 4 times another. Their difference is 102. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 9. What is the smaller number?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 88. What is the largest of them?

Answer key

  1. 10
  2. 39
  3. 58
  4. 43
  5. 89
  6. 21
  7. 65
  8. 32
  9. 37
  10. 78
  11. 19
  12. 23
  13. 45
  14. 56
  15. 9
  16. 38
  17. 25
  18. 44
  19. 6
  20. 34
  21. 40
  22. 35
  23. 45
  24. 79
  25. 42
  26. 15
  27. 66
  28. 26
  29. 16
  30. 55
  31. 27
  32. 25
  33. 41
  34. 60
  35. 34
  36. 9
  37. 17
  38. 34
  39. 34
  40. 25

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