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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 810 · 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 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 11 and their difference is 9. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 178. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 42. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 72. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 110. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 255. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  21. 21.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  22. 22.The sum of 4 consecutive numbers is 154. What is the largest of them?
  23. 23.The sum of two numbers is 35 and their difference is 31. What is the larger number?
  24. 24.The sum of two numbers is 32 and their difference is 12. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 70. What is the largest of them?
  26. 26.The sum of two numbers is 40 and their difference is 38. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 117. What is the largest of them?
  30. 30.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?
  31. 31.One number is 3 times another. Their difference is 12. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 35. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 50. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.The sum of two numbers is 76 and their difference is 66. What is the larger number?
  38. 38.One number is 5 times another. Their difference is 136. What is the smaller number?
  39. 39.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 116. What is the smaller number?

Answer key

  1. 56
  2. 1
  3. 89
  4. 30
  5. 14
  6. 78
  7. 29
  8. 46
  9. 78
  10. 36
  11. 18
  12. 14
  13. 24
  14. 24
  15. 55
  16. 53
  17. 53
  18. 15
  19. 50
  20. 58
  21. 18
  22. 40
  23. 33
  24. 22
  25. 19
  26. 39
  27. 49
  28. 7
  29. 40
  30. 35
  31. 6
  32. 43
  33. 9
  34. 49
  35. 25
  36. 25
  37. 71
  38. 34
  39. 2
  40. 29

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