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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 233 · 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 308. What is the smallest of them?
  2. 2.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 18. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 138. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  10. 10.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?
  11. 11.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.One number is 6 times another. Their difference is 80. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 102. What is the smaller number?
  14. 14.The sum of two numbers is 78 and their difference is 6. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 22. What is the smaller number?
  17. 17.The sum of two numbers is 13 and their difference is 7. What is the larger number?
  18. 18.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of two numbers is 44 and their difference is 22. What is the smaller number?
  24. 24.The sum of two numbers is 108 and their difference is 32. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 70. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 34. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 51. What is the largest of them?
  35. 35.The sum of two numbers is 48 and their difference is 4. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?

Answer key

  1. 74
  2. 52
  3. 18
  4. 36
  5. 25
  6. 25
  7. 21
  8. 12
  9. 28
  10. 45
  11. 57
  12. 16
  13. 34
  14. 36
  15. 49
  16. 22
  17. 10
  18. 65
  19. 78
  20. 53
  21. 49
  22. 29
  23. 11
  24. 38
  25. 13
  26. 75
  27. 35
  28. 46
  29. 26
  30. 37
  31. 47
  32. 59
  33. 10
  34. 18
  35. 26
  36. 81
  37. 45
  38. 57
  39. 27
  40. 23

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