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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 575 · 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 6 times another. Their difference is 175. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  3. 3.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  4. 4.The sum of two numbers is 152 and their difference is 8. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 44. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 153. What is the largest of them?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 144. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  16. 16.The sum of two numbers is 99 and their difference is 13. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 84. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  19. 19.The sum of two numbers is 147 and their difference is 13. What is the larger number?
  20. 20.The sum of two numbers is 41 and their difference is 11. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 195. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 52. What is the smaller number?
  24. 24.One number is 4 times another. Their difference is 45. What is the smaller number?
  25. 25.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?
  26. 26.One number is 4 times another. Their difference is 54. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 140. What is the largest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 111. What is the largest of them?
  30. 30.One number is 3 times another. Their difference is 20. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 242. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  33. 33.The sum of two numbers is 94 and their difference is 48. What is the larger number?
  34. 34.The sum of two numbers is 22 and their difference is 6. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 30. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 108. What is the largest of them?

Answer key

  1. 35
  2. 30
  3. 45
  4. 72
  5. 11
  6. 48
  7. 40
  8. 23
  9. 38
  10. 52
  11. 79
  12. 89
  13. 28
  14. 49
  15. 37
  16. 43
  17. 28
  18. 39
  19. 80
  20. 15
  21. 39
  22. 52
  23. 13
  24. 15
  25. 45
  26. 18
  27. 30
  28. 34
  29. 38
  30. 10
  31. 62
  32. 7
  33. 71
  34. 14
  35. 28
  36. 11
  37. 71
  38. 69
  39. 58
  40. 37

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