Year 10 Visualising and representing

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

Watch the video to see how Charlie works out the sum. Can you adapt his method?

Have you ever wondered what it would be like to race against Usain Bolt?

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

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

Is it possible to find the angles in this rather special isosceles triangle?

Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

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?

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

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?