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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 30 · 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 5 times another. Their difference is 60. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  3. 3.The sum of two numbers is 36 and their difference is 24. What is the larger number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 39. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The sum of two numbers is 157 and their difference is 13. What is the larger number?
  11. 11.The sum of two numbers is 115 and their difference is 21. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 37. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 66. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 40. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 132. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 36. What is the smaller number?
  22. 22.The sum of two numbers is 114 and their difference is 76. What is the smaller number?
  23. 23.The sum of two numbers is 25 and their difference is 11. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 200. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 90. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.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?
  28. 28.One number is 2 times another. Their difference is 39. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 129. What is the largest of them?
  30. 30.The sum of two numbers is 79 and their difference is 13. What is the larger number?
  31. 31.One number is 3 times another. Their difference is 6. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  34. 34.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  38. 38.The sum of two numbers is 101 and their difference is 73. What is the smaller number?
  39. 39.The sum of two numbers is 50 and their difference is 20. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 75. What is the largest of them?

Answer key

  1. 15
  2. 17
  3. 30
  4. 89
  5. 30
  6. 39
  7. 34
  8. 14
  9. 47
  10. 85
  11. 47
  12. 37
  13. 24
  14. 12
  15. 23
  16. 10
  17. 58
  18. 18
  19. 34
  20. 33
  21. 36
  22. 19
  23. 7
  24. 40
  25. 30
  26. 38
  27. 37
  28. 39
  29. 44
  30. 46
  31. 3
  32. 10
  33. 19
  34. 41
  35. 82
  36. 60
  37. 44
  38. 14
  39. 15
  40. 26

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