6 x 10 P E N TO M I N O E S

More of that later! Poly-ominoes Many-squares Rules Full edge to edge contact only.

Mon-omino 1 Domino 1 Triominoes 2 ? ? Tetrominoes 5 Find all of the?Think systematically! Don’t forget to avoid duplicates. Remember, rotations and reflections are not allowed! P O L YO M I N O E S

12 The pentominoes have lots of interesting properties. Find and draw all of the pentominoes.? Don’t forget to think systematically! P E N TO M I N O E S

Alphabet Pentominoes! P E N TO M I N O E S

Some of the pentominoes (like the one shown)can be folded to make open-top boxes. Can you find them all and shade their bases? P E N TO M I N O E S

Find the pentominoes with line/mirror symmetries P E N TO M I N O E S

Find the pentominoes with turn/rotational symmetry. P E N TO M I N O E S

¼ turn ½ turn ¾ turn Full turn Order 2 Find the pentominoes with turn/rotational symmetry. P E N TO M I N O E S

¼ turn ½ turn ¾ turn Full turn Order 2 Find the pentominoes with turn/rotational symmetry. Order 2 P E N TO M I N O E S

¼ turn ½ turn ¾ turn Full turn Order 4 Find the pentominoes with turn/rotational symmetry. Order 2 P E N TO M I N O E S

Do they all have the same perimeter? 12

How many different size rectangles can be made using 60 squares?

6 x 10 P E N TO M I N O E S 1 of 2339!

P E N TO M I N O E S 1 of of of of of of of 368

Build the 12 pentominoes using the 2 cm cubes provided. Use you’re A3 worksheet to try and find a solution of your own!

P E N TO M I N O E S 1 of of of of of of of 368

H E XO M I N O E S There are 35 distinct hexominoes. You will need patience and systematic thinking to find all of them.

H E XO M I N O E S Some of the hexominoes can be folded to make closed boxes. They are nets of cubes. Can you find them?

H E XO M I N O E S Hexominoes with line symmetry?

H E XO M I N O E S Hexominoes with rotational symmetry?

H E XO M I N O E S They all have the same area but do they all have the same perimeter?

H E XO M I N O E S Possible rectangles with an area of: 1 x x x 70 5 x 42 6 x 35 7 x x x units It is not possible to cover any of these rectangles with the 35 hexominoes.

P O L YO M I N O E S Monominoes Dominoes Triominoes Tetrominoes Pentominoes Hexominoes Heptominoes Octominoes A formula for calculating the number of n-ominoes has not been found.

Pentominoes Hexominoes Worksheet 1

Worksheet 2

P E N TO M I N O E S 6 x solutions 3 x 20 2 solutions Worksheet 3: A3 front(enlarge)

P E N TO M I N O E S 5 x solutions 4 x solutions Worksheet 3: A3 reverse(enlarge)

Worksheet 4