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
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.
Find the ratio of the outer shaded area to the inner area for a six
pointed star and an eight pointed star.
The topic of music can make a good connection between science
The nature of sound and the working of the ear are rich areas of
The ratio emphasis follows from harmonics or overtones and rests
on ideas like lowest common multiple.
One teacher has offered the following comment : This Stage 4
work makes practice in multiplying and dividing fractions
purposeful. And in school invites collaboration between the music
and mathematics departments.