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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 823 · 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 two numbers is 28 and their difference is 12. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  3. 3.The sum of two numbers is 68 and their difference is 42. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  9. 9.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 56. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 42. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.One number is 3 times another. Their difference is 6. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 38. What is the smaller number?
  17. 17.The sum of two numbers is 70 and their difference is 8. What is the larger 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.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 54. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  22. 22.The sum of two numbers is 94 and their difference is 42. What is the larger number?
  23. 23.The sum of two numbers is 60 and their difference is 38. What is the larger number?
  24. 24.One number is 5 times another. Their difference is 116. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 80. What is the smaller number?
  30. 30.The sum of two numbers is 80 and their difference is 24. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 24. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  33. 33.One number is 5 times another. Their difference is 104. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  35. 35.The sum of two numbers is 43 and their difference is 25. What is the larger number?
  36. 36.The sum of two numbers is 127 and their difference is 65. What is the larger number?
  37. 37.The sum of two numbers is 26 and their difference is 4. What is the smaller number?
  38. 38.The sum of two numbers is 19 and their difference is 11. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  40. 40.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?

Answer key

  1. 8
  2. 48
  3. 13
  4. 27
  5. 64
  6. 69
  7. 78
  8. 43
  9. 18
  10. 28
  11. 26
  12. 15
  13. 37
  14. 3
  15. 86
  16. 38
  17. 39
  18. 89
  19. 57
  20. 18
  21. 59
  22. 68
  23. 49
  24. 29
  25. 38
  26. 37
  27. 28
  28. 58
  29. 16
  30. 28
  31. 9
  32. 30
  33. 26
  34. 79
  35. 34
  36. 96
  37. 11
  38. 4
  39. 7
  40. 47

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