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.
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
Try this version of Snap with a friend - do you know the order of the days of the week?
These clocks have been reflected in a mirror. What times do they say?
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
This article for Primary and Secondary teachers is all about the mathematics behind solving puzzles, unravelling mysteries and breaking codes.
This article describes how the NRICH Early Years resources aim to further develop young children's natural problem-solving abilities in the context of mathematics.
