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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 459 · 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 42 and their difference is 8. What is the larger number?
  2. 2.The sum of two numbers is 43 and their difference is 39. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 130. What is the largest of them?
  5. 5.The sum of two numbers is 142 and their difference is 56. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 84. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 40. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 25. What is the smaller number?
  11. 11.The sum of two numbers is 132 and their difference is 18. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of 4 consecutive numbers is 134. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  16. 16.The sum of two numbers is 46 and their difference is 2. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 11. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 130. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  20. 20.The sum of two numbers is 29 and their difference is 17. What is the smaller number?
  21. 21.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?
  22. 22.One number is 4 times another. Their difference is 114. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 63. 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 9. What is the number?
  26. 26.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.One number is 4 times another. Their difference is 45. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 99. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 42. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 84. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  37. 37.The sum of two numbers is 61 and their difference is 43. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 22. What is the smaller number?

Answer key

  1. 25
  2. 41
  3. 11
  4. 28
  5. 43
  6. 50
  7. 65
  8. 21
  9. 10
  10. 25
  11. 75
  12. 39
  13. 48
  14. 35
  15. 77
  16. 24
  17. 11
  18. 34
  19. 29
  20. 6
  21. 79
  22. 38
  23. 39
  24. 23
  25. 56
  26. 34
  27. 49
  28. 45
  29. 57
  30. 15
  31. 69
  32. 34
  33. 15
  34. 28
  35. 34
  36. 35
  37. 9
  38. 67
  39. 39
  40. 11

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