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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 871 · 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 4 consecutive even numbers is 52. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.The sum of two numbers is 88 and their difference is 52. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 24. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 4. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 34. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of two numbers is 127 and their difference is 5. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  15. 15.The sum of two numbers is 37 and their difference is 33. What is the larger number?
  16. 16.One number is 5 times another. Their difference is 60. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of two numbers is 125 and their difference is 71. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 3 consecutive numbers is 99. What is the largest of them?
  24. 24.The sum of two numbers is 23 and their difference is 5. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 30. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 31. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 65. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 11. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  35. 35.One number is 3 times another. Their difference is 22. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 5 consecutive numbers is 65. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 8. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 16
  2. 68
  3. 70
  4. 59
  5. 39
  6. 51
  7. 34
  8. 12
  9. 35
  10. 4
  11. 34
  12. 20
  13. 61
  14. 13
  15. 35
  16. 15
  17. 14
  18. 47
  19. 43
  20. 16
  21. 27
  22. 27
  23. 34
  24. 9
  25. 71
  26. 11
  27. 11
  28. 31
  29. 27
  30. 13
  31. 44
  32. 11
  33. 15
  34. 58
  35. 11
  36. 47
  37. 79
  38. 15
  39. 8
  40. 12

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