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Sep 292013
 

You need to find the lowest common multiple when finding common denominators to add fractions. Highest common factors are also used in fraction or ratio calculations when you cancel down. This interactive worksheet will show you how to work them out.

Sep 292013
 

Image from the Lisa Simpson Bookclub

Simon Singh has written a book about maths in the Simpsons. Read all about it here on the Guardian website.

Have a read of the article and find out about Fermat’s Last Theorem,  Perfect Numbers, Narcissistic numbers, Mersenne Primes, Googols and Googolplexs and lots more! You may not need to know this stuff to pass your maths exam, but hopefully you’ll see that maths can be both fascinating and fun!

Sep 292013
 

Find as many different calculators as you can. Your phone, your computer, the one in the back of the overflowing drawer in the hall. Then try this sum on all of them.

4+ 7 x 3

Do all the calculators give the same answer? What is the correct answer?

If you have a cheap four function calculator you will have got the answer 33, because it always calculates in the order you enter the sum. Unfortunately this is not mathematically correct!

If you used a scientific calculator you will have got the answer 25 which is correct. Scientific calculators understand the correct order to do calculations. Multiplication is more important than addition, so this comes first.

So how do we know what order to do calculations in? We use a rule called BIDMAS.

B rackets

I ndices

D ivision ÷

M ultiplication x

A ddition +

S ubtraction –

 

Always do brackets first. Then do any indices (like 2 squared or square root of 16). Some people refer to BODMAS where the O stands for “of”.) Division and multiplication come next (these have equal priority). Last is additions and subtractions (also equal priority)

Try this interactive worksheet to see if you’ve got it.

Sep 222013
 

An interactive worksheet to help you get to grips with multiples and factors.

Sep 072013
 

Have a go at this worksheet to find all the Prime Numbers less than 100.

eratostenes

 

Now try this much bigger Sieve to find all the Prime Numbers less than 400! Start by clicking on 2 and all the multiples of 2 will be removed. Then click on 3 to remove the multiples of 3 and continue clicking on the prime numbers until you are only left with red prime numbers.

Also take a look at this video

Aug 132013
 

This activity is about a wind turbine in Norfolk. Watch the video first, then try to answer the questions. You will need a calculator.

You can either do the activity on-line, or download and print the worksheet.

Aug 042013
 

This exercise will give you practice in writing big numbers in words. Many thanks to Sheffield Renewables for the use of their Top Trump cards to make this exercise.

Before you start here is an example. The St Wilfreds Centre has solar panels that produce 3250 kwh of electricity. In words this is three thousand two hundred and fifty kwh. Kwh stands for kilo watt hours.

Writing big numbers

May 292013
 

Penrose TriangleUse these links to research optical illusions.

What are your  favourite illusions? Make them into a Powerpoint presentation.

Can you use what you have learnt to design your own illusion?

Wikipedia

illusions.org

123opticalillusions.com

echalk

nih.gov

video-best optical illusions

A search engine will find many more!

May 282013
 

Dr Eugenia Cheng from Sheffield University hit the news today as she published her findings about the maths behind the perfect cream tea. An internet search will find articles on BBC and ITV news and many national newspapers. Have a go at this activity to see if you can use the formulae for a perfect cream tea..

May 152013
 

In these days of austerity, benefits are being cut and prices continue to rise. It has never been more important to be careful with your money, as getting into debt can spiral out of control and have dire consequences. A first step in taking control of your finances is to understand what you spend your money on. This sheet will help you work this out. To do it accurately you will need to record your spending carefully for several weeks but you may be able to estimate figures until you have got more accurate information.

Fill the figures in for an average month. So for example if you pay an MOT fee of £54.85 each year this would be recorded as 54.85/12 = £4.57 a month. If you spend £10 at the pub once a week that would be recorded as 4 x £10 = £40.

There is also an on-line version which does the sums for you here.

May 112013
 

In May 2013 global levels of carbon dioxide in the atmosphere passed the milestone of 400 parts per million. This exercise will challenge your maths and help you understand why this is so important.

 

Apr 172013
 

Watch the video on Income Inequality then see if you can answer the questions.

Mar 252013
 

Mar 252013