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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 549 · 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 276. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 111. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 9. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 72. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 21. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  11. 11.One number is 4 times another. Their difference is 69. 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 3 consecutive odd numbers is 165. What is the smallest of them?
  14. 14.The sum of two numbers is 48 and their difference is 22. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  17. 17.The sum of two numbers is 113 and their difference is 21. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 3 consecutive numbers is 156. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 28. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 40. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 155. What is the smaller number?
  24. 24.The sum of two numbers is 68 and their difference is 42. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 166. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 146. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  36. 36.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 10. What is the smaller number?

Answer key

  1. 66
  2. 79
  3. 38
  4. 9
  5. 60
  6. 24
  7. 52
  8. 85
  9. 7
  10. 29
  11. 23
  12. 20
  13. 53
  14. 13
  15. 9
  16. 23
  17. 46
  18. 50
  19. 23
  20. 53
  21. 7
  22. 8
  23. 31
  24. 13
  25. 46
  26. 35
  27. 70
  28. 43
  29. 38
  30. 43
  31. 6
  32. 38
  33. 45
  34. 55
  35. 39
  36. 34
  37. 59
  38. 13
  39. 48
  40. 5

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