Take any rectangle ABCD such that AB > BC. The point P is on AB and Q is on CD. Show that there is exactly one position of P and Q such that APCQ is a rhombus.
What's the most efficient proportion for a 1 litre tin of paint?
Using an understanding that 1:2 and 2:3 were good ratios, start with a length and keep reducing it to 2/3 of itself. Each time that took the length under 1/2 they doubled it to get back within range.
Two perpendicular lines lie across each other and the end points are joined to form a quadrilateral. Eight ratios are defined, three are given but five need to be found.
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?
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.
Move the point P to see how P' moves. Then use your insights to calculate a missing length.
Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?
