A right circular cone is filled with liquid to a depth of half its
vertical height. The cone is inverted. How high up the vertical
height of the cone will the liquid rise?
We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.
What happens to the area and volume of 2D and 3D shapes when you
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Triangle ABC is equilateral. D, the midpoint of BC, is the centre
of the semi-circle whose radius is R which touches AB and AC, as
well as a smaller circle with radius r which also touches AB and
AC. . . .
Photocopiers can reduce from A3 to A4 without distorting the image.
Explore the relationships between different paper sizes that make
From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
Explore the effect of combining enlargements.