2 out of 3
Four jewellers share their stock. Can you work out the relative values of their gems?
2 out of 3
One night two candles were lit. Can you work out how long each candle was originally?
2 out of 3
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.
2 out of 3
What's the most efficient proportion for a 1 litre tin of paint?
2 out of 3
A square is divided into four rectangles and a square. Can you work out the ratio of the side lengths of the rectangles?
2 out of 3
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.
2 out of 3
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.
2 out of 3
Does Joseph have too many sheep in his flock...
2 out of 3
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
3 out of 3
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.
