Being resourceful

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?

A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Use the differences to find the solution to this Sudoku.

Can you work out which spinners were used to generate the frequency charts?

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

Can you find the distance between the two trees using the information given?