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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 145 · 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 3 consecutive odd numbers is 63. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 37. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 58. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 18. What is the smaller 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 numbers is 110. What is the largest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 50 and their difference is 8. What is the larger number?
  11. 11.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 10. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 129. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 142. What is the largest of them?
  21. 21.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 13. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 99 and their difference is 79. What is the larger number?
  25. 25.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?
  26. 26.The sum of two numbers is 98 and their difference is 16. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 17 and their difference is 11. What is the larger number?
  29. 29.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?
  30. 30.One number is 6 times another. Their difference is 90. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 3 consecutive numbers is 36. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 50. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 66. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 21. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 171. What is the largest of them?
  40. 40.The sum of two numbers is 93 and their difference is 31. What is the smaller number?

Answer key

  1. 23
  2. 37
  3. 16
  4. 29
  5. 23
  6. 9
  7. 78
  8. 29
  9. 17
  10. 29
  11. 16
  12. 28
  13. 24
  14. 35
  15. 46
  16. 5
  17. 83
  18. 28
  19. 44
  20. 37
  21. 58
  22. 13
  23. 89
  24. 89
  25. 69
  26. 41
  27. 67
  28. 14
  29. 59
  30. 18
  31. 29
  32. 15
  33. 13
  34. 14
  35. 51
  36. 45
  37. 22
  38. 21
  39. 58
  40. 31

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