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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 111 · 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 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?
  2. 2.One number is 3 times another. Their difference is 80. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 60. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  5. 5.One number is 4 times another. Their difference is 39. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 18. What is the largest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 144 and their difference is 6. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 50. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 93. What is the smaller number?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 14. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 35. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 105. What is the largest of them?
  17. 17.One number is 2 times another. Their difference is 15. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 14. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.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?
  21. 21.The sum of two numbers is 16 and their difference is 4. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 75. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 42. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 120. What is the smaller number?
  25. 25.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?
  26. 26.The sum of two numbers is 27 and their difference is 23. What is the smaller number?
  27. 27.The sum of two numbers is 126 and their difference is 28. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  29. 29.The sum of two numbers is 42 and their difference is 28. What is the larger number?
  30. 30.One number is 5 times another. Their difference is 76. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 12. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  34. 34.The sum of two numbers is 131 and their difference is 13. What is the smaller number?
  35. 35.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  36. 36.The sum of two numbers is 37 and their difference is 17. What is the larger number?
  37. 37.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.One number is 5 times another. Their difference is 24. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?

Answer key

  1. 78
  2. 40
  3. 14
  4. 51
  5. 13
  6. 7
  7. 19
  8. 69
  9. 50
  10. 10
  11. 31
  12. 89
  13. 14
  14. 12
  15. 7
  16. 23
  17. 15
  18. 7
  19. 16
  20. 28
  21. 6
  22. 15
  23. 21
  24. 24
  25. 49
  26. 2
  27. 49
  28. 10
  29. 35
  30. 19
  31. 40
  32. 6
  33. 9
  34. 59
  35. 6
  36. 27
  37. 39
  38. 6
  39. 46
  40. 63

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