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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 264 · 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 numbers is 90. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  3. 3.The sum of two numbers is 142 and their difference is 24. What is the smaller number?
  4. 4.The sum of two numbers is 185 and their difference is 1. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  6. 6.The sum of two numbers is 50 and their difference is 8. What is the larger number?
  7. 7.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 66. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 5 times another. Their difference is 12. What is the smaller number?
  12. 12.The sum of two numbers is 63 and their difference is 61. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 21. What is the smaller number?
  14. 14.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?
  15. 15.One number is 4 times another. Their difference is 15. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 123. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 194. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  25. 25.The sum of two numbers is 52 and their difference is 22. What is the larger number?
  26. 26.The sum of 4 consecutive numbers is 130. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  30. 30.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?
  31. 31.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?
  32. 32.One number is 6 times another. Their difference is 125. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  34. 34.The sum of two numbers is 65 and their difference is 1. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 116. What is the smaller number?
  37. 37.The sum of two numbers is 33 and their difference is 29. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 40 and their difference is 18. What is the larger number?
  40. 40.One number is 4 times another. Their difference is 81. What is the smaller number?

Answer key

  1. 24
  2. 14
  3. 59
  4. 92
  5. 55
  6. 29
  7. 16
  8. 33
  9. 5
  10. 58
  11. 3
  12. 1
  13. 21
  14. 78
  15. 5
  16. 42
  17. 50
  18. 34
  19. 89
  20. 40
  21. 41
  22. 67
  23. 5
  24. 79
  25. 37
  26. 34
  27. 58
  28. 10
  29. 30
  30. 69
  31. 59
  32. 25
  33. 58
  34. 33
  35. 26
  36. 29
  37. 2
  38. 17
  39. 29
  40. 27

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