Tran has four different hats. He always wears a hat on weekdays for the whole day. Sometimes he wears the same hat more than once in a week.

In how many different ways might he decide to wear his hats in one week?

# Tran's Hats

MON

TUE

WED

THU

FRI

• Miss J Key, Farlingaye High School, Suffolk
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• Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!
• Class 5G, Lakeside Community Primary School
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• We all had a go at the combinations but didn't get as far as 1024! We enjoy these starters - keep them coming =).
• Roslina Ahmad, Malaysia
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• This is great! I can use this in my math class.
• 8MS, Hirst Park Middle School, Ashington
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• Our year 8 class needed a bit of structure to get the solution, we worked out for 4 hats on 1 day, 2 days, 3 days, then managed to find a rule and get the answer.
• Mrs. Nhandara, Stockholm International School
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• This Exercise was great for my 9th grade class!

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

Previous Day | This starter is for 12 July | Next Day

The answer is 45

= 4 x 4 x 4 x 4 x 4

= 1024

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