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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 737 · 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 3 consecutive odd numbers is 69. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  3. 3.One number is 4 times another. Their difference is 60. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  5. 5.The sum of two numbers is 66 and their difference is 4. What is the smaller number?
  6. 6.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?
  7. 7.The sum of two numbers is 139 and their difference is 1. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 10. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 123. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 162. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 9. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 29. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 64. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 145. What is the largest of them?
  20. 20.The sum of two numbers is 109 and their difference is 15. What is the smaller number?
  21. 21.The sum of two numbers is 49 and their difference is 45. What is the larger number?
  22. 22.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  23. 23.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 9. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  29. 29.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?
  30. 30.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?
  31. 31.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  34. 34.The sum of two numbers is 78 and their difference is 58. What is the smaller number?
  35. 35.The sum of two numbers is 43 and their difference is 23. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 226. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 81. What is the smallest of them?

Answer key

  1. 25
  2. 50
  3. 20
  4. 54
  5. 31
  6. 35
  7. 69
  8. 5
  9. 29
  10. 42
  11. 10
  12. 42
  13. 9
  14. 59
  15. 12
  16. 29
  17. 42
  18. 16
  19. 31
  20. 47
  21. 47
  22. 60
  23. 25
  24. 3
  25. 80
  26. 6
  27. 39
  28. 48
  29. 25
  30. 78
  31. 47
  32. 7
  33. 15
  34. 10
  35. 33
  36. 58
  37. 58
  38. 16
  39. 19
  40. 26

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