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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 464 · 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.One number is 3 times another. Their difference is 22. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 72. What is the largest of them?
  3. 3.The sum of two numbers is 76 and their difference is 16. What is the larger number?
  4. 4.The sum of two numbers is 77 and their difference is 43. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 10. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 22. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 36. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 144. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.The sum of two numbers is 126 and their difference is 40. What is the larger number?
  17. 17.One number is 3 times another. Their difference is 26. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 3 times another. Their difference is 80. What is the smaller number?
  21. 21.The sum of two numbers is 153 and their difference is 11. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 18. What is the largest of them?
  25. 25.The sum of two numbers is 50 and their difference is 34. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  29. 29.The sum of 4 consecutive numbers is 98. What is the largest of them?
  30. 30.The sum of two numbers is 57 and their difference is 5. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 174. What is the largest of them?
  33. 33.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?
  34. 34.One number is 2 times another. Their difference is 33. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 128. What is the smaller number?
  37. 37.The sum of two numbers is 19 and their difference is 17. What is the smaller number?
  38. 38.The sum of two numbers is 97 and their difference is 21. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  40. 40.The sum of two numbers is 41 and their difference is 25. What is the smaller number?

Answer key

  1. 11
  2. 25
  3. 46
  4. 17
  5. 68
  6. 5
  7. 10
  8. 22
  9. 36
  10. 43
  11. 78
  12. 17
  13. 36
  14. 26
  15. 36
  16. 83
  17. 13
  18. 17
  19. 59
  20. 40
  21. 71
  22. 89
  23. 55
  24. 7
  25. 8
  26. 25
  27. 63
  28. 18
  29. 26
  30. 31
  31. 27
  32. 45
  33. 23
  34. 33
  35. 39
  36. 32
  37. 1
  38. 38
  39. 24
  40. 8

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