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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 222 · 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 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?
  2. 2.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 178. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  9. 9.One number is 6 times another. Their difference is 90. What is the smaller number?
  10. 10.The sum of two numbers is 137 and their difference is 25. What is the smaller number?
  11. 11.The sum of two numbers is 51 and their difference is 15. What is the smaller number?
  12. 12.The sum of two numbers is 115 and their difference is 9. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 130. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 87. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 129. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 6 times another. Their difference is 155. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 45. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 236. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 135. What is the largest of them?
  23. 23.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 35. 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 3 consecutive numbers is 111. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 15. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 160. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 75. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 28. What is the smaller number?
  34. 34.One number is 4 times another. Their difference is 30. What is the smaller number?
  35. 35.The sum of two numbers is 68 and their difference is 8. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 171. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 27. What is the largest of them?

Answer key

  1. 37
  2. 12
  3. 15
  4. 78
  5. 46
  6. 41
  7. 46
  8. 13
  9. 18
  10. 56
  11. 18
  12. 53
  13. 34
  14. 29
  15. 44
  16. 63
  17. 79
  18. 31
  19. 15
  20. 62
  21. 59
  22. 46
  23. 8
  24. 35
  25. 13
  26. 36
  27. 42
  28. 31
  29. 54
  30. 15
  31. 32
  32. 17
  33. 7
  34. 10
  35. 30
  36. 73
  37. 87
  38. 44
  39. 58
  40. 10

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