2. 6 x 10 P E N TO M I N O E S

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

4. 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

5. 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

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

7. 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

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

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

10. 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

11. 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

12. 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

13. 12 10 12 Do they all have the same perimeter? 12

14. How many different size rectangles can be made using 60 squares? 6 10 3 20 5 12 4 15 2 30 1 60

15. 6 x 10 P E N TO M I N O E S 1 of 2339!

16. P E N TO M I N O E S 1 of 23392 of 23393 of 2339 1 of 1010 2 of 1010 1 of 368 2 of 368

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

18. P E N TO M I N O E S 1 of 23392 of 23393 of 2339 1 of 1010 2 of 1010 1 of 368 2 of 368

19. 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.

20. 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?

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

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

23. H E XO M I N O E S They all have the same area but do they all have the same perimeter? 14 12 14 12 14 12 10 14 12 14

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

25. P O L YO M I N O E S Monominoes Dominoes Triominoes Tetrominoes Pentominoes Hexominoes Heptominoes Octominoes369 108 35 12 5 2 2 1 A formula for calculating the number of n-ominoes has not been found.

26. Pentominoes Hexominoes Worksheet 1

27. Worksheet 2

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

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

30. Worksheet 4