You may also like

problem icon

Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

problem icon

From All Corners

Straight lines are drawn from each corner of a square to the mid points of the opposite sides. Express the area of the octagon that is formed at the centre as a fraction of the area of the square.

problem icon

Star Gazing

Find the ratio of the outer shaded area to the inner area for a six pointed star and an eight pointed star.

Weekly Problem 12 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1
If there are f females and m males then 86=8f+9m=8(f+m)+m. Now 86=8*10+6=8*9+14... Only the first of these is feasible so m=6 and f=4.

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem