Year 10 Being collaborative

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Why does this fold create an angle of sixty degrees?

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Where should runners start the 200m race so that they have all run the same distance by the finish?

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

How can we make sense of national and global statistics involving very large numbers?

Match the cumulative frequency curves with their corresponding box plots.

Surprising numerical patterns can be explained using algebra and diagrams...

Can you match these calculations in Standard Index Form with their answers?

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

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?

Can you match up these equivalent algebraic expressions?

If you know the perimeter of a right angled triangle, what can you say about the area?

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