Copyright © University of Cambridge. All rights reserved.

Which of the following has the greatest value?

(a) $\left(\frac{11}{7}\right)^3$

(b) $\left(\frac{5}{3}\right)^3$

(c) $\left(\frac{7}{4}\right)^3$

(d) $\left(\frac{9}{5}\right)^3$

(e) $\left(\frac{3}{2}\right)^3$

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.*

View the current weekly problem