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# Halloween Investigation

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### Geoboards

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Links to the NRICH website Home page

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30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 7 to 11

Challenge Level

Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks.

"We could make costumes up for ", said Ana.

"I could wear a black cloak, green mask and pointy hat", said Ana.

"Look at me in the black cloak and Dracula mask. Put the crown on me please", said Ross. |

How many **possible** costumes could Ross have made
if he kept the black cloak and Dracula mask but wore one of the
different hats?

Here are two other costumes that Ana and Ross made up.

List or draw all of the different cloaks and gowns, masks and hats that they have used.

If they changed around their clothes, hats and masks, how many
different costumes do you **think** Ana and Ross could
make?

Find out if your guess was correct.

Ross found extra masks in the trunk. | |

"I think I'll change my face!" laughed Ana. |

I wonder how many other costumes Ana and Ross could put together if they put one of these other masks on.

Can you find out?

Ana looked deep into the trunk. "I've found a different cape",
she cried. "Now we can make even more costumes!"
How many different costumes could Ana and Ross make altogether? |

How can you be sure that you have found all of the
**possible** costumes?

I wonder how many more different costumes they could
**possibly** make if they had found this bag of old
shoes....

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.