Hotel Digital


Hotel Digital has 30 floors.

Step into the lift at Hotel Digital and you'll have to think! It will only stop at floors which are multiples of the days of the week numbers.

On Monday it will go to any floor.

On Tuesdays it will only go to floors which are multiples of 2.

On Wednesdays it will only go to floors which are multiples of 3 and so on.

Which would be the best floor of the hotel to stay on if you do not like using the stairs and you plan to stay for a week? The lifts always stop at the lobby floor which is below the first floor.

A Mathematics Lesson Starter Of The Day

Topics: Starter | Factors | Investigations | LCM | Number

  • Transum,
  • There are two other activities on Transum that are very similar to this but with a different story attached to them. One is the Prison Cell problem that generates an (for most people) unexpected sequence of numbers and the other is our interactive version of the well know Sieve of Eratosthenes. Many people enjoy looking at number patterns when associated with a story or puzzle and there are plenty more ideas on the Factors page. Please let us all know how your pupils tackle this activity.

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.
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Supplementary Questions:

If the hotel had more floors, which would be the lowest floor at which the lift would stop at every day of the week.

Which floors are only served on Mondays?

You can still practise your thinking skills even when you are on holiday. Do you stay in a hotel? How many floors does your hotel have? How many hotel rooms are there? Are there the same number of hotel rooms on each floor? How many guests can the hotel accommodate?

Does your hotel have a swimming pool? Could all the hotel guests sit around the pool at the same time? How many restaurants does the hotel have? Could all of the hotel guests be seated for breakfast at the same time?

Is the hotel part of an international group? Where are the other hotels in the group situated? Are they by the sea or inland? Could you travel around the world staying at the hotels in the group?

How many staff work at your hotel? What hours of the day are they on duty? Are their more hotel staff on duty at 8am or 8pm? What is the ratio of hotel guests to staff?

How much does it cost to stay at the hotel for one night? Is this good value for money? How much does the hotel get from all of the guests currently in residence.

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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a different type of logic puzzle.

Student Activity


Curriculum Reference

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


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