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

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

3. 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

4. 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

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

6. 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

7. Find the pentominoes with line/mirror symmetries

8. Find the pentominoes with turn/rotational symmetry.

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

10. 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

11. 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

12. Do they all have the same perimeter?12 12 10

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

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

15. 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

16. 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!

17. 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

18. 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.

19. 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?

20. Hexominoes with line symmetry?

21. Hexominoes with rotational symmetry?

22. 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

23. 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

24. 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.

25. Pentominoes
Hexominoes
Worksheet 1

26. Worksheet 2

27. 6 x 10 2339 solutions 3 x 20 2 solutions P E N T O M I S
Worksheet 3: A3 front(enlarge)

28. 5 x 12 1010 solutions 4 x 15 368 solutions P E N T O M I S
Worksheet 3: A3 reverse(enlarge)

29. Worksheet 4