2 out of 3
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
2 out of 3
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
2 out of 3
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
2 out of 3
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
1 out of 3
Given any two polynomials in a single variable it is always possible to eliminate the variable and obtain a formula showing the relationship between the two polynomials. Try this one.
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Sketch the members of the family of graphs given by $y = a^3/(x^2+a^2)$ for $a=1, 2$ and $3$.
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What can you see? What do you notice? What questions can you ask?
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Play the game of Poison, Antidote, Water to start to understand the mathematics of associativity and groups.
In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.
