25th August 2000 at 01:00

* Age 5-7: Fireworks

Dan's fireworks made stars.

Some made 3 stars.

Some made 4 stars.

Altogether Dan's fireworks made 23 stars.

How many of them made 3 stars?

How many made 4 stars?

What if Dan's fireworks made 25 stars?

* Age 8-10: Bus routes

6 towns are connected by bus routes.

This table shows the bus fare for each direct route.

The fare for A to B is the same at B to A, and so on.

The bus goes from A back to A.

It visits each of the other towns onc.

How many different ways are there of completing a journey from A back to A, visiting each town once?

Which is the cheapest?


* Fireworks

For 23 stars, 5 fireworks made 3 stars and 2 fireworks made 4 stars.

For 25 stars, 3 fireworks made 3 stars and 4 fireworks made 4 stars.

* Bus routes

There are 6 different routes from A back to A



ABDECFA and the three reversals of these.

The cheapest route is ABDECFA, or its reversal, which costs pound;21.

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