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Can you find the area of the central part of this shape? Can you do it in more than one way?

Can you make sense of these logical contortions?

Draw some angles inside a rectangle. What do you notice? Can you prove it?

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Engage in a little mathematical detective work to see if you can spot the fakes.

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?