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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 218 · 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 odd numbers is 216. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 17. What is the smaller number?
  9. 9.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?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  12. 12.The sum of two numbers is 28 and their difference is 4. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 34. What is the smaller number?
  14. 14.The sum of two numbers is 18 and their difference is 16. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 170. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 26. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 62. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  22. 22.The sum of two numbers is 136 and their difference is 58. What is the larger number?
  23. 23.One number is 3 times another. Their difference is 12. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 235. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 40. What is the smaller number?
  27. 27.The sum of two numbers is 13 and their difference is 7. What is the smaller number?
  28. 28.The sum of two numbers is 49 and their difference is 21. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  32. 32.The sum of two numbers is 37 and their difference is 1. What is the larger number?
  33. 33.One number is 6 times another. Their difference is 30. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  35. 35.The sum of two numbers is 40 and their difference is 10. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 14. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 105. What is the smaller number?
  38. 38.The sum of two numbers is 16 and their difference is 4. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 72. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 111. What is the largest of them?

Answer key

  1. 57
  2. 79
  3. 29
  4. 54
  5. 35
  6. 46
  7. 56
  8. 17
  9. 24
  10. 27
  11. 16
  12. 12
  13. 17
  14. 1
  15. 34
  16. 26
  17. 31
  18. 17
  19. 51
  20. 80
  21. 43
  22. 97
  23. 6
  24. 45
  25. 49
  26. 10
  27. 3
  28. 14
  29. 81
  30. 13
  31. 43
  32. 19
  33. 6
  34. 22
  35. 25
  36. 14
  37. 35
  38. 6
  39. 25
  40. 38

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