PUZZLES TO TEST MATHEMATICAL SKILLS
* 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?
BRAINTEASER SOLUTIONS - PAGE 54
* 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
ABCDEFA;
ABDCEFA;
ABDECFA and the three reversals of these.
The cheapest route is ABDECFA, or its reversal, which costs pound;21.