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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 253 · 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 12. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 16 and their difference is 8. What is the larger number?
  3. 3.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?
  4. 4.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  5. 5.One number is 3 times another. Their difference is 28. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 36. What is the largest of them?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.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?
  10. 10.The sum of two numbers is 121 and their difference is 31. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 84. What is the smaller number?
  12. 12.The sum of two numbers is 27 and their difference is 13. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  15. 15.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  18. 18.The sum of two numbers is 64 and their difference is 22. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 180. What is the largest of them?
  20. 20.The sum of two numbers is 67 and their difference is 35. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 114. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  24. 24.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  26. 26.One number is 6 times another. Their difference is 155. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 27. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 124. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  30. 30.The sum of two numbers is 34 and their difference is 2. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 29 and their difference is 23. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  36. 36.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?
  37. 37.One number is 2 times another. Their difference is 3. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 31. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 3 consecutive numbers is 63. What is the largest of them?

Answer key

  1. 57
  2. 12
  3. 89
  4. 13
  5. 14
  6. 13
  7. 49
  8. 79
  9. 25
  10. 45
  11. 28
  12. 7
  13. 51
  14. 80
  15. 10
  16. 68
  17. 27
  18. 21
  19. 61
  20. 16
  21. 39
  22. 31
  23. 10
  24. 8
  25. 11
  26. 31
  27. 27
  28. 31
  29. 21
  30. 16
  31. 26
  32. 18
  33. 78
  34. 26
  35. 30
  36. 28
  37. 3
  38. 31
  39. 24
  40. 22

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