In our view, you can't do maths without reasoning! But what is mathematical reasoning and when do we need it? Have a go at these activities which give you chances to reason in different ways and for different purposes. Can you explain your solution, convince someone else it is correct and justify your conclusions?

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Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

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There are six numbers written in five different scripts. Can you sort out which is which?

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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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Can you go through this maze so that the numbers you pass add to exactly 100?

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Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

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This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.