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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 569 · 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 47 and their difference is 9. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 135. What is the largest of them?
  3. 3.The sum of two numbers is 21 and their difference is 1. What is the larger number?
  4. 4.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?
  5. 5.The sum of two numbers is 43 and their difference is 41. What is the larger number?
  6. 6.The sum of 4 consecutive numbers is 146. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 16. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  11. 11.The sum of two numbers is 82 and their difference is 2. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 114. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 138. What is the largest of them?
  16. 16.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  18. 18.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?
  19. 19.One number is 3 times another. Their difference is 76. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 8. What is the smaller number?
  23. 23.The sum of two numbers is 16 and their difference is 14. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 63. What is the largest of them?
  26. 26.The sum of two numbers is 19 and their difference is 17. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 124. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 129. What is the largest of them?
  35. 35.The sum of two numbers is 59 and their difference is 15. What is the larger number?
  36. 36.The sum of two numbers is 81 and their difference is 53. What is the larger number?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 82. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 60. What is the largest of them?

Answer key

  1. 28
  2. 46
  3. 11
  4. 78
  5. 42
  6. 38
  7. 54
  8. 56
  9. 8
  10. 49
  11. 40
  12. 39
  13. 23
  14. 21
  15. 47
  16. 48
  17. 18
  18. 45
  19. 38
  20. 34
  21. 29
  22. 4
  23. 15
  24. 27
  25. 22
  26. 1
  27. 31
  28. 6
  29. 28
  30. 56
  31. 60
  32. 68
  33. 10
  34. 44
  35. 37
  36. 67
  37. 13
  38. 22
  39. 45
  40. 21

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