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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 683 · 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 3 times another. Their difference is 28. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  3. 3.The sum of two numbers is 104 and their difference is 20. What is the smaller number?
  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 two numbers is 146 and their difference is 52. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of two numbers is 59 and their difference is 55. What is the larger number?
  11. 11.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  12. 12.The sum of two numbers is 70 and their difference is 20. What is the smaller number?
  13. 13.The sum of two numbers is 24 and their difference is 12. What is the larger number?
  14. 14.One number is 2 times another. Their difference is 25. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.One number is 5 times another. Their difference is 100. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 12. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 13. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 63. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  22. 22.The sum of two numbers is 61 and their difference is 5. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 21. What is the smaller number?
  24. 24.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?
  25. 25.One number is 2 times another. Their difference is 21. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  27. 27.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?
  28. 28.One number is 2 times another. Their difference is 29. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 285. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 33. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of two numbers is 34 and their difference is 4. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 114. What is the smallest of them?

Answer key

  1. 14
  2. 16
  3. 42
  4. 78
  5. 47
  6. 59
  7. 15
  8. 58
  9. 35
  10. 57
  11. 8
  12. 25
  13. 18
  14. 25
  15. 68
  16. 25
  17. 3
  18. 13
  19. 22
  20. 65
  21. 18
  22. 28
  23. 7
  24. 25
  25. 21
  26. 35
  27. 69
  28. 29
  29. 59
  30. 11
  31. 49
  32. 75
  33. 13
  34. 55
  35. 48
  36. 8
  37. 14
  38. 89
  39. 19
  40. 27

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