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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 709 · 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 112. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 55. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 20. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 13. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 150. 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.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 45. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  20. 20.The sum of two numbers is 111 and their difference is 13. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  22. 22.The sum of two numbers is 38 and their difference is 12. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  24. 24.The sum of two numbers is 152 and their difference is 14. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 126. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 33. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 19. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 106. What is the largest of them?
  30. 30.The sum of two numbers is 112 and their difference is 22. What is the larger number?
  31. 31.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?
  32. 32.The sum of two numbers is 17 and their difference is 11. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 6 times another. Their difference is 155. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  37. 37.The sum of two numbers is 67 and their difference is 3. What is the smaller number?
  38. 38.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?
  39. 39.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?
  40. 40.One number is 5 times another. Their difference is 72. What is the smaller number?

Answer key

  1. 28
  2. 19
  3. 11
  4. 36
  5. 21
  6. 4
  7. 13
  8. 77
  9. 23
  10. 5
  11. 30
  12. 89
  13. 23
  14. 16
  15. 46
  16. 49
  17. 78
  18. 30
  19. 6
  20. 49
  21. 62
  22. 13
  23. 41
  24. 83
  25. 43
  26. 11
  27. 19
  28. 19
  29. 28
  30. 67
  31. 68
  32. 3
  33. 38
  34. 58
  35. 31
  36. 52
  37. 32
  38. 45
  39. 56
  40. 18

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