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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 447 · 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 170 and their difference is 26. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 135. What is the largest of them?
  3. 3.One number is 2 times another. Their difference is 5. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 87. 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 9. What is the number?
  7. 7.One number is 6 times another. Their difference is 45. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  10. 10.The sum of two numbers is 61 and their difference is 13. What is the smaller number?
  11. 11.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?
  12. 12.One number is 2 times another. Their difference is 33. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 100. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  15. 15.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?
  16. 16.One number is 3 times another. Their difference is 80. 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 9. What is the number?
  18. 18.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  20. 20.The sum of two numbers is 62 and their difference is 24. What is the larger number?
  21. 21.The sum of two numbers is 123 and their difference is 71. What is the larger number?
  22. 22.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  23. 23.The sum of two numbers is 54 and their difference is 4. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 80. What is the largest of them?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  26. 26.The sum of two numbers is 103 and their difference is 61. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 112. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 35. What is the largest of them?
  33. 33.One number is 6 times another. Their difference is 160. What is the smaller number?
  34. 34.The sum of two numbers is 45 and their difference is 9. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 190. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 36. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 30. What is the largest of them?

Answer key

  1. 72
  2. 29
  3. 5
  4. 22
  5. 31
  6. 78
  7. 9
  8. 45
  9. 65
  10. 24
  11. 69
  12. 33
  13. 22
  14. 6
  15. 59
  16. 40
  17. 34
  18. 13
  19. 28
  20. 43
  21. 97
  22. 42
  23. 29
  24. 18
  25. 29
  26. 21
  27. 85
  28. 58
  29. 58
  30. 47
  31. 28
  32. 9
  33. 32
  34. 27
  35. 40
  36. 13
  37. 17
  38. 11
  39. 22
  40. 9

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