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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 205 · 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 14. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  4. 4.The sum of two numbers is 71 and their difference is 13. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  6. 6.The sum of two numbers is 94 and their difference is 6. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 90. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 190. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  11. 11.One number is 5 times another. Their difference is 88. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 100. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 44. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  20. 20.The sum of two numbers is 76 and their difference is 40. What is the smaller number?
  21. 21.The sum of two numbers is 38 and their difference is 14. What is the larger number?
  22. 22.The sum of 5 consecutive numbers is 220. What is the largest of them?
  23. 23.The sum of two numbers is 52 and their difference is 30. What is the smaller number?
  24. 24.One number is 4 times another. Their difference is 15. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 132. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 18. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 21. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 102. What is the smaller number?
  30. 30.The sum of two numbers is 32 and their difference is 16. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 310. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  33. 33.The sum of two numbers is 89 and their difference is 3. What is the larger number?
  34. 34.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  35. 35.One number is 2 times another. Their difference is 5. What is the smaller number?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of two numbers is 68 and their difference is 22. What is the larger number?
  39. 39.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 140. What is the largest of them?

Answer key

  1. 59
  2. 29
  3. 85
  4. 42
  5. 57
  6. 44
  7. 20
  8. 38
  9. 19
  10. 66
  11. 22
  12. 10
  13. 71
  14. 22
  15. 69
  16. 42
  17. 22
  18. 16
  19. 45
  20. 18
  21. 26
  22. 46
  23. 11
  24. 5
  25. 45
  26. 6
  27. 7
  28. 10
  29. 34
  30. 8
  31. 64
  32. 43
  33. 46
  34. 14
  35. 5
  36. 24
  37. 78
  38. 45
  39. 32
  40. 30

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