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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 879 · 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 5 consecutive numbers is 250. What is the largest of them?
  2. 2.The sum of two numbers is 89 and their difference is 63. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 125. What is the largest of them?
  4. 4.The sum of two numbers is 59 and their difference is 29. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 48. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 14. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 144. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 75. What is the smaller number?
  12. 12.The sum of two numbers is 98 and their difference is 90. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 55. What is the smaller number?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of two numbers is 142 and their difference is 48. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 222. What is the largest of them?
  21. 21.One number is 4 times another. Their difference is 84. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 270. What is the largest of them?
  26. 26.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 30. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 21. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  37. 37.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 26. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  40. 40.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?

Answer key

  1. 52
  2. 76
  3. 27
  4. 15
  5. 12
  6. 40
  7. 14
  8. 65
  9. 49
  10. 15
  11. 25
  12. 94
  13. 41
  14. 77
  15. 11
  16. 89
  17. 15
  18. 47
  19. 27
  20. 57
  21. 28
  22. 23
  23. 37
  24. 10
  25. 56
  26. 24
  27. 25
  28. 47
  29. 58
  30. 49
  31. 49
  32. 19
  33. 46
  34. 30
  35. 21
  36. 37
  37. 6
  38. 26
  39. 81
  40. 78

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