You may also like

problem icon

On Time

On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?

problem icon

Estimating Angles

How good are you at estimating angles?

problem icon

LOGO Challenge 8 - Rhombi

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

Sharp Corners

Stage: 3 Short Challenge Level: Challenge Level:1
Triangles have three angles, and the smallest angle is $20^{\circ}$. So the second smallest angle can be at least $20^{\circ}$ which leaves at most $180^{\circ}-(20^{\circ}+20^{\circ})=140^{\circ}$ for the largest angle (since the internal angles of a triangle sum to $180^{\circ}$).

This problem is taken from the UKMT Mathematical Challenges.