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

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

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

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

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

Find the pentominoes with line/mirror symmetries

Find the pentominoes with turn/rotational symmetry.

Find the pentominoes with turn/rotational symmetry. Order 2 Full turn ½ turn ¼ turn ¾ turn

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

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

Do they all have the same perimeter? 12 12 10

How many different size rectangles can be made using 60 squares? 10 3 20 5 12 4 15 2 30 1 60

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

P E N T O M I S 1 of 2339 2 of 2339 3 of 2339 1 of 1010 2 of 1010 1 of 368 2 of 368

Build the 12 pentominoes using the 2 cm cubes provided 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 T O M I S 1 of 2339 2 of 2339 3 of 2339 1 of 1010 2 of 1010 1 of 368 2 of 368

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

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

Hexominoes with line symmetry?

Hexominoes with rotational symmetry?

They all have the same area but do they all have the same perimeter? X O M I N S They all have the same area but do they all have the same perimeter? 14 12 10

H E X O M I N S Possible rectangles with an area of: 15 14 210 units2 1 x 210 2 x 105 3 x 70 5 x 42 It is not possible to cover any of these rectangles with the 35 hexominoes. 6 x 35 7 x 30 10 x 21 14 x 15

P O L Y M I N E S Monominoes Dominoes Triominoes Tetrominoes Pentominoes Hexominoes Heptominoes Octominoes 369 108 35 12 5 2 1 A formula for calculating the number of n-ominoes has not been found.

Pentominoes Hexominoes Worksheet 1

Worksheet 2

6 x 10 2339 solutions 3 x 20 2 solutions P E N T O M I S Worksheet 3: A3 front(enlarge)

5 x 12 1010 solutions 4 x 15 368 solutions P E N T O M I S Worksheet 3: A3 reverse(enlarge)

Worksheet 4