Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Half Time

What could the half time score have been?

Can you find all the possible half time scores?

How will you make sure you don't miss any out?

In the final of the men's hockey in the 2000 Olympics, the Netherlands played Korea. The final score was a draw: it was 3 - 3 and they had to take penalties.
## You may also like

### Triangle Animals

### Triple Cubes

### The Add and Take-away Path

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 5 to 11

Challenge Level

When Spain played Belgium in the preliminary round of the men's hockey competition in the 2008 Olympics, the final score was 4 - 2.

What could the half time score have been?

Can you find all the possible half time scores?

How will you make sure you don't miss any out?

In the final of the men's hockey in the 2000 Olympics, the Netherlands played Korea. The final score was a draw: it was 3 - 3 and they had to take penalties.

Can you find all the possible half time scores for this match?

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?