Coordinates - February 2005, Stage 1&2

Problems

problem icon

Late Again

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

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

problem icon

Making Shapes

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

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

problem icon

Arrangements

Stage: 2 Challenge Level: Challenge Level:1

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

problem icon

Fred the Class Robot

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

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

problem icon

Cartesian Isometric

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

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?

problem icon

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?

problem icon

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?