IMC 2018 Q5
5. The adult human body has 206 bones. Each foot has 26 bones.
Approximately what fraction of the number of bones in the human body is found in one foot?
- A \(\dfrac{1}{6}\)
- B \(\dfrac{1}{8}\)
- C \(\dfrac{1}{10}\)
- D \(\dfrac{1}{12}\)
- E \(\dfrac{1}{20}\)
Intermediate Mathematical Challenge 2018, Question 5. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B \(\dfrac{1}{8}\)
The required fraction is \(\dfrac{26}{206} = \dfrac{13}{103} \approx \dfrac{13}{104} = \dfrac{1}{8}\).
Solution © UK Mathematics Trust, from the IMC 2018 solutions. Longer versions with investigations: Solutions and investigations (PDF).