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

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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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This starter has scored a mean of 3.3 out of 5 based on 140 votes.

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Floors 12, 24 and 30 of the hotel are served by the lift five out of seven days of the week. There is an equal amount of stair walking to be done on the days when it does not stop on these floors.

## 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.

## Have you read Craig's book yet?

Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

"How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

## Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

## 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.

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

 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).

Transum.org/go/?Start=August4

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

Transum.org/go/?to=CryptoGraphic

For Students:

For All: