Moving Around

Arranging Cubes

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

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

En-counters

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

This task requires learners to explain and help others, asking and answering questions.

Round a Hexagon

Stage: 2 Challenge Level: Challenge Level:1

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

Six Places to Visit

Stage: 2 Challenge Level: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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

Coordinate Challenge

Stage: 2 Challenge Level: Challenge Level:1

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

How Safe Are You?

Stage: 2 Challenge Level: Challenge Level:1

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

Coordinate Tan

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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: Challenge Level:2 Challenge Level:2

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: Challenge Level:2 Challenge Level:2

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

Olympic Turns

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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: Challenge Level:3 Challenge Level:3 Challenge Level:3

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: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Cops and Robbers

Stage: 2 and 3 Challenge Level: Challenge Level:1

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

Eight Hidden Squares

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

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?