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.

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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.

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.


Texas Instruments Nspire Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

Apple iPad Pro

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

Before giving an iPad as a Christmas gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.

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 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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