For students

the BEBRAS CHALLENGE

Bebras challenges that you can try to solve.

Bebras Computational Thinking Challenge

 

In the run up to Bebras Challenge, Mr O’Callaghan and Mr Boyd will be publishing questions from previous Bebras challenges that you can try to solve. More information on how your child can participate in the challenge will be published nearer to the time. 

 

Here is the answer to last week’s question: 

 

LEMONADE PARTY

Janet made 37 litres of lemonade at home and now she needs to put it in bottles to take it to school for a party.

 

She has several empty bottles of various sizes, but she wants to use the smallest number of bottles AND all of the bottles have to be full.

 

Task:

 

What are the bottle that she should use.

The best solution is a 32 litre bottle, a 4 litre bottle and a 1 litre bottle.

This is a binary counting problem. Note that it never makes sense to select multiple bottles of a single size; if you select 2 bottles of 8 litres, it makes more sense to select a single bottle of 16 litres.

There are therefore a minimum of three bottles required.

 

 

Watch this space next term for the next round of Bebras challenges. 

 

Mr O’Callaghan and Mr Boyd