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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 567 · 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.One number is 2 times another. Their difference is 11. What is the smaller number?
  2. 2.The sum of two numbers is 36 and their difference is 14. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 250. What is the largest of them?
  5. 5.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?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  7. 7.The sum of two numbers is 29 and their difference is 3. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 24. 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.One number is 4 times another. Their difference is 78. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 206. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  16. 16.The sum of two numbers is 16 and their difference is 14. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.The sum of two numbers is 88 and their difference is 14. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 280. What is the largest of them?
  21. 21.The sum of two numbers is 139 and their difference is 33. What is the larger number?
  22. 22.The sum of two numbers is 38 and their difference is 18. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 30. What is the smaller number?
  25. 25.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?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  27. 27.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.One number is 2 times another. Their difference is 9. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 78. What is the largest of them?
  34. 34.The sum of two numbers is 26 and their difference is 18. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 57. What is the smaller number?
  36. 36.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?
  37. 37.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.One number is 3 times another. Their difference is 8. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 87. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 284. What is the smallest of them?

Answer key

  1. 11
  2. 11
  3. 20
  4. 52
  5. 58
  6. 49
  7. 13
  8. 6
  9. 29
  10. 26
  11. 28
  12. 78
  13. 53
  14. 67
  15. 76
  16. 1
  17. 17
  18. 37
  19. 48
  20. 58
  21. 86
  22. 10
  23. 57
  24. 15
  25. 56
  26. 34
  27. 31
  28. 75
  29. 48
  30. 49
  31. 36
  32. 9
  33. 27
  34. 4
  35. 19
  36. 89
  37. 28
  38. 4
  39. 30
  40. 68

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