## Mixed transformations GCSE Maths

This is a quick walk-through of a GCSE maths exam question.

A helpful video by Mohammed Ladak

## The exact values for sin and cos 0, 30, 45, 60 and 90

GCSE Maths revision tutorial video. For the full list of videos and more revision resources visit www.mathsgenie.co.uk.

The Sheaf Valley Maths Trail is a short walk starting outside Sheffield City College on Granville Road, along the footpath to Sheffield Station and the steel blade sculpture, behind the station to the steel steps and the amphitheatre, up the hill to the Cholera Monument and then back to college via Clay Wood. Along the way you will answer questions on many different aspects of mathematics. It is suitable for school groups, college students studying Functional Skills, home schoolers and their parents or anyone who would like to have a go!

Download the student booklet here. It is best printed as a booklet.

There are also a teachers booklet and a powerpoint which I will send to you on request. Email graham@mathswithgraham.org.uk to request these. Please let me know who you are planning to use it with.

Topics touched on on the trail include

**Number**

Counting

Multiplication

Fractions

Time calculations

Reading a timetable

Calculating journey cost

Speed Distance Time calculations

**Shape and Space**

Measuring length

Estimating length and weight

Symmetry (Line and Rotational)

3 dimensional shape

Angles

Circle calculations

Volume of a cuboid

Area of irregular shapes

**Data Handling**

Averages

Feel free to adapt the trail by missing out some questions and adding others to make it suitable for your students/pupils.

Split your group into teams of 3 or 4 people. Make sure less able students are paired with more able students. Each team will need a DIY tape measure, a large ball of string, a large protractor, a pencil and a calculator. You need to work out the logistics of ensuring there is someone to help at the various stopping points.

Tell your students to stay together, look after each other and take extra care when crossing roads. If this is a school/college outing you will need to fill in a risk assessment.

How good a shopper are you? Can you work out the best deals? Money Advice has made this short 4 question quiz to see if you are being taken for a ride by the supermarkets!

There is also a pdf version here. moneyadvicesupermarketquiz

Publicans and lorry drivers work with beer kegs. See if you can solve these Level 2 problems.

There is an interactive version and a worksheet version.

Here is a great tool to show constructions on a computer or Interactive White Board.

Here are the highlights of the 2015 Mens Final.

Can you use your skills to answer the questions? They range from easy Entry Level to GCSE questions involving data handling, time, distance, speed and Pythagoras. There is a Scale Drawing task that is very good practice for Level 1 students.

The interactive version is here and the worksheet version is here.

In this exercise you will need to read the information from an Amey press release about the massive Streets Ahead contract. You will then use your skills to answer the questions. You can download a worksheet or use the interactive version here.

Can you correctly answer the questions about this graph?

Try the interactive quiz or the worksheet.

There are two extra questions on the worksheet which are also below.

This table shows the number of fatal injuries by industry in 2014/15.

- Draw a suitable chart to display this data.
- Write two interesting facts that the graph shows.

Here is a great quiz from karenjs231 on angles. Remember in GCSE there are often angles questions where 1 mark is for finding the right answer and the other is for explaining why, eg stating angles in an isosceles triangle add up to 180 degrees and 2 must be equal.

Fed up with your GCSE revision? Try these new quizzes. You’ll find lots of different topics. Beware, they are designed to catch you out! The authors have thought carefully about the mistakes you are likely to make. So when you get to the end of a quiz look carefully at the mistakes you have made and make sure you understand where you went wrong.

Pythagoras Theorem states that the square on the hypotenuse of a right angled triange is equal to the sum of the squares of the other two sides. In algebra

a^{2}+b^{2}=c^{2}

Here are some useful links for Pythagoras Theorem.

Why does it work? Read theProof

Video showing Pythagoras Theorem with water.

Pythagoras demonstration to the tune of Popcorn!

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The Best Pythagorean Rap ever!

Rock on Pythagoras

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This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.

This is one in a large series of short videos from NCETM showing how people use maths at work. See the others here.