Year 9 Working systematically

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

There are lots of different methods to find out what the shapes are worth - how many can you find?

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

The clues for this Sudoku are the product of the numbers in adjacent squares.

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?