And more puzzles...

The Mad Hatter

The mad hat is the latest design in headwear in 'Wonderland' over Easter. All hats are made from 6 equal sized pieces and put together as shown. How many different hats can be made if:

a) Three pieces are blue and three pieces are red?

b) Each piece may be red or blue?

Odd One

Choose the odd one out on each line and write its initial letter. The seven letters form a word. What is it?

Exchange

Each counter in the diagram below moves by exchanging places with the counter next to it. How many moves are required to get the three red counters to the left and the three yellow to the right

Investigate for a different number of counters. Can you predict how many moves would be needed if you had 10 red and 10 yellow counters?