## multiply brackets

How to multiply brackets

This puzzle has become very popular on social media. Why not share it on your page and see if your friends can get it right?

Here is the solution.

## howmanytriangles

The solution to the “How many triangles?” puzzle.

A letter to the Sheffield Star

Dear Editor

As someone who teaches maths for a living it saddens me when I see mathematical errors in your paper.

In a letter about Council Tax increases (21.2.18) Ron Sanderson claimed that last year’s 5.99% rise combined with this year’s 4.99% rise made a total increase of 10.98%. He has added the percentages, ignoring the fact that this year’s increase is 4.99% more than the new total for last year.

For every 100p you paid in Council Tax in 2016, you paid 100 x 1.0599 in 2017.

In 2018 you will pay 100 x 1.0599 x 1.0499 which equals 111.28p or an increase of 11.28%

Understanding percentages is vital when working out things like Council Tax rises, pay claims, credit agreements or interest earnt on investments. People who don’t understand percentages and APR’s are much more likely to be ripped off. If you need help with maths visit my website at www.mathswithgraham.org.uk where you will find free activities, some with a Sheffield theme such as the Sheaf Valley Maths Trail, to help people of all levels, from the very basic up to Higher GCSE.

Yours faithfully

Maths with Graham

## HCF LCM Venn Diagram

Description

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.

## Estimating L1, L2 & GCSE (Free Version) *Includes Challenge*

An informative video highlighting the importance of checking your calculations by estimation.

Challenge your friends to this Kahoot!

Go to this link on a computer, then log in with your phones or tablets at kahoot.it

https://play.kahoot.it/#/k/a026b360-1d21-45e8-bf68-cd8e22eb38cb

Challenge your friends to this Kahoot!

Go to this link on a computer, then log in with your phones or tablets at kahoot.it

https://play.kahoot.it/#/k/1253ecaf-846d-4ea7-b5db-54929ef59c20

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

There are lots of different methods to do long multiplication. This activity helps you perfect one- the grid method. It also tests you on your car knowledge! Grid multiplication for car lovers!

This exercise involves reading and analysing data from charts, calculating averages and percentages and estimating length. It will also help you with the Driving Theory Test and hopefully help you to stay safe when you are driving.

There is an interactive version here and a worksheet version here.

Here’s a quiz which involves rounding, addition and subtraction for Motor Vehicle students. Each time you do it you will get a different selection of questions. Many thanks to Auto Trader for the adverts.

Download, print and cut out the squares. Work with a friend to try and match all the questions with the correct answers and make a shape

The Lowest Common Multiple (LCM) is the smallest positive number that is a multiple of two or more numbers.

For example the LCM of 4 and 6 is 12 because

Multiples of 4 are 4, 8, 12, 16, 20….

Multiples of 6 are 6, 12, 18, 24…

12 is the first number in both lists.

Practice finding Lowest Common Multiples with this Sporcle quiz. Challenge your friends to see who can get the best score.