A Maths Starter Of The Day

What is the total cost of all four cars?

Share

Topics: Starter | Algebra | Problem Solving

• Vijay Leckraz, Dartford Technology College
•
• Let the Blue car be £x. The red car would then be Blue+£5000.Yellow is the same as Blue,so Yellow cost£x.Green cost twice as much as Blue so Green cost £2X.Green car is the same as Red car so we can write
Green car= Red car
2x=x+£50000.
solving this equation by the elimination method we have 2x-x=x-x+£5000
which gives x=£5000
So Blue car costs £5000
Yellow Car costs £5000
Green car costs £10000
Red car costs £10000.
• Jonny,
•
• There's a slight mistake in the answer above:
Green car = Red car
2x=x+£50000.
This should be £5000.
Enjoyed the starter though!
• Phillipa, West Yorkshire
•
• I think this is very good for when Im doing Algebra with Ks3 however can you explain how you did it as we are all baffled.
• Vicki, Cheshire
•
• It's quite simple (when you know how) really... Call the blue car B, yellow car Y, green car G and red car R.
The blue and yellow cars cost the same so B=Y
The green and red cost the same so G=R
R = B + 5,000 and since G=R you can say G = B + 5,000
G = 2Y and since Y=B you can say G = 2B
So make these equal to each other:
2B = B + 5,000
B = 5,000 = Y
G = R = 5,000 + 5,000 = 10,000
The cars total up to 30,000.

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.

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
Satisfactory
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 3.5 out of 5 based on 274 votes.

Previous Day | This starter is for 16 July | Next Day

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=July16

Here is the URL which will take them to game involving the use of money.

Transum.org/go/?to=Mathopoly

Extension

The car pictured below costs three quarters of its cost plus £4500. How much does it cost?

For Students:

For All: