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?

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

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?

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?

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

Match the cumulative frequency curves with their corresponding box plots.

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

Which armies can be arranged in hollow square fighting formations?

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

Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?

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.

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?

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 ?

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

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?

Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

Which numbers can we write as a sum of square numbers?

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

Can you explain what is going on in these puzzling number tricks?

Can you explain the surprising results Jo found when she calculated the difference between square numbers?

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?