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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 125 · 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 71 and their difference is 69. What is the larger number?
  2. 2.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 160. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 90. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  10. 10.The sum of two numbers is 104 and their difference is 4. What is the larger number?
  11. 11.The sum of two numbers is 158 and their difference is 18. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 33. What is the smaller number?
  14. 14.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?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 50. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 51. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 168. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  21. 21.One number is 3 times another. Their difference is 12. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  23. 23.The sum of two numbers is 101 and their difference is 79. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 177. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  28. 28.The sum of two numbers is 32 and their difference is 8. What is the smaller number?
  29. 29.The sum of two numbers is 133 and their difference is 49. What is the larger number?
  30. 30.One number is 6 times another. Their difference is 100. What is the smaller number?
  31. 31.One number is 5 times another. Their difference is 20. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 60. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 75. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 150. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 77 and their difference is 61. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 222. What is the largest of them?

Answer key

  1. 70
  2. 22
  3. 47
  4. 34
  5. 20
  6. 6
  7. 22
  8. 34
  9. 20
  10. 54
  11. 88
  12. 35
  13. 11
  14. 36
  15. 29
  16. 14
  17. 17
  18. 57
  19. 13
  20. 60
  21. 6
  22. 27
  23. 11
  24. 79
  25. 60
  26. 37
  27. 5
  28. 12
  29. 91
  30. 20
  31. 5
  32. 30
  33. 25
  34. 30
  35. 89
  36. 9
  37. 78
  38. 8
  39. 35
  40. 76

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