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Seven small pictures, all square or rectangular, with sides measuring a whole number of inches and each with a different area, have frames exactly one inch wide.
In each case the area of the frame is either the same as the area of the picture or a multiple of it.
The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches.
Find the dimensions of the pictures, show how they fit together to make a rectangle, and find the width of the rectangle.
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?