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 Tran Tran Tran Tran

Tran's Hats







Topics: Starter | Combinations | Data Handling | Probability | Problem Solving

  • Miss J Key, Farlingaye High School, Suffolk
  • 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
  • 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
  • This is great! I can use this in my math class.
  • 8MS, Hirst Park Middle School, Ashington
  • 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
  • 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.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 2.9 out of 5 based on 173 votes.

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



The answer is 45

= 4 x 4 x 4 x 4 x 4

= 1024

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.


Hello World

You are buying a (driverless) car. One vehicle is programmed to save as many lives as possible in a collision. Another promises to prioritize the lives of its passengers. Which do you choose?

Welcome to the age of the algorithm, the story of a not-too-distant future where machines rule supreme, making important decisions – in healthcare, transport, finance, security, what we watch, where we go even who we send to prison. So how much should we rely on them? What kind of future do we want?

Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing. more...

Online Maths Shop

Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Here is the URL which will take them to a related student activity.

Student Activity


Curriculum Reference

See the National Curriculum page for links to related online activities and resources.


©1997-2019 WWW.TRANSUM.ORG