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.
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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.
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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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...
GCSE Revision and Practice
Whatever exam board you use for GCSE Mathematics, this book by David Rayner remains an all-round winner. With this latest edition presented in full colour and completely updated for the new GCSE(9-1) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade.
This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the new-style grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the run-up to exams. more...
Teacher, do your students have
access to computers?
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.