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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 603 · 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 two numbers is 75 and their difference is 23. What is the larger number?
  2. 2.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.One number is 2 times another. Their difference is 26. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 23. What is the smaller number?
  5. 5.The sum of two numbers is 54 and their difference is 30. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 122. What is the largest of them?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  9. 9.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  10. 10.One number is 3 times another. Their difference is 58. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 35. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 8. What is the smaller number?
  13. 13.The sum of two numbers is 37 and their difference is 9. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  16. 16.The sum of two numbers is 78 and their difference is 58. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  18. 18.The sum of two numbers is 152 and their difference is 30. What is the larger number?
  19. 19.One number is 3 times another. Their difference is 68. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 99. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 182. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 5 times another. Their difference is 28. 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 sum of 3 consecutive numbers is 87. What is the smallest of them?
  27. 27.The sum of two numbers is 115 and their difference is 63. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  29. 29.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?
  30. 30.The sum of two numbers is 102 and their difference is 56. What is the larger number?
  31. 31.One number is 2 times another. Their difference is 6. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 111. What is the smaller number?
  33. 33.The sum of two numbers is 133 and their difference is 45. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 26. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  38. 38.The sum of two numbers is 92 and their difference is 8. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 44. What is the smaller number?
  40. 40.The sum of two numbers is 19 and their difference is 9. What is the larger number?

Answer key

  1. 49
  2. 45
  3. 26
  4. 23
  5. 12
  6. 32
  7. 13
  8. 37
  9. 37
  10. 29
  11. 7
  12. 4
  13. 14
  14. 30
  15. 39
  16. 10
  17. 24
  18. 91
  19. 34
  20. 34
  21. 47
  22. 12
  23. 35
  24. 7
  25. 56
  26. 28
  27. 26
  28. 41
  29. 78
  30. 79
  31. 6
  32. 37
  33. 44
  34. 13
  35. 49
  36. 41
  37. 42
  38. 42
  39. 22
  40. 14

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