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problem

Watch your feet

7 to 11

I like to walk along the cracks of the paving stones, but not the outside edge of the path itself. How many different routes can you find for me to take?

Placeholder: several colourful numbers

article

Curiosity: the journey from novice to expert

7 to 18

problem

Clock squares

14 to 18

Can you find a way of predicting the value of large square numbers with the help of our power modulo calculator?

problem

Birds in the garden

5 to 11

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

Bicentric Quadrilaterals

problem

Bicentric quadrilaterals

14 to 16

Investigate the properties of quadrilaterals which can be drawn with a circle just touching each side and another circle just touching each vertex.

Translating Lines

problem

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Translating lines

11 to 14

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

problem

Back to basics

14 to 16

Find b where 3723(base 10) = 123(base b).

problem

Eight dominoes

7 to 16

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?

article

Multiplication series: number arrays

5 to 11

This article for teachers describes how number arrays can be a useful representation for many number concepts.

problem

What do functions do for tiny x?

16 to 18

Looking at small values of functions. Motivating the existence of the Maclaurin expansion.