# Moving Around

### Arranging Cubes

##### Stage: 1 and 2 Challenge Level:

A task which depends on members of the group working collaboratively to reach a single goal.

### Round a Hexagon

##### Stage: 2 Challenge Level:

This problem shows that the external angles of an irregular hexagon add to a circle.

### Six Places to Visit

##### Stage: 2 Challenge Level:

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

### A Cartesian Puzzle

##### Stage: 2 Challenge Level:

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

### Counters in the Middle

##### Stage: 2 Challenge Level:

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

### Coordinate Challenge

##### Stage: 2 Challenge Level:

Use the clues about the symmetrical properties of these letters to place them on the grid.

### How Safe Are You?

##### Stage: 2 Challenge Level:

How much do you have to turn these dials by in order to unlock the safes?

### Coordinate Tan

##### Stage: 2 Challenge Level:

What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?

### Square Corners

##### Stage: 2 Challenge Level:

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

### Display Boards

##### Stage: 2 Challenge Level:

Design an arrangement of display boards in the school hall which fits the requirements of different people.

### Olympic Turns

##### Stage: 2 Challenge Level:

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

### Symmetry Challenge

##### Stage: 2 Challenge Level:

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

### Ten Hidden Squares

##### Stage: 2 Challenge Level:

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

### Eight Hidden Squares

##### Stage: 2 and 3 Challenge Level:

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

### Cops and Robbers

##### Stage: 2, 3 and 4 Challenge Level:

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?