Archive for the ‘Higher sets’ Category

Linear AQA GCSE Maths: no sweat!

July 8, 2011 Leave a comment

The ‘news’ that all GCSE maths courses taught from September 2012 are to be linear, won’t be a problem for your AQA resourcing with Longman!

Longman’s AQA GCSE Maths series has, from the start, come with Linear Schemes of Work alongside the Modular SoWs – all free on our website!

Our very popular textbooks are structured around the Modular Units, but when you transfer to AQA’s Linear spec, you’ll find it really easy to adjust your teaching order for Linear.

If you’re already well into using our resources with AQA Linear, do please leave us a comment below!

AQA GCSE Maths Unit 1 Practice Paper FREE!

April 20, 2011 18 comments

Longman’s new  AQA GCSE Maths series includes a really useful Assessment Pack. Covering AQA’s Linear and Modular specifications, the content includes:

  • Course entry tests
  • Chapters tests for the Longman Foundation Sets, Middle Sets and Higher Sets Student Books
  • Linear and Modular Practice Papers
  • Resit Papers for Linear and Modular

Ahead of the Unit 1 Higher exam next term (on 13 June), here’s a free Practice Paper for your students:

Click to download the paper as a PDF

And here is the Mark Scheme .  Let us know what you think – comment is also free!

Are your students adapting to the new GCSE maths question styles?

March 11, 2011 Leave a comment

With two more AQA GCSE Maths 2010 Unit papers taken this week, are your students feeling more confident with AO2 and AO3 questions?

If you’re looking for a bit more practice on sequences and proof for Unit 2 Higher, here’s a FREE Topic Test from our AQA GCSE Maths Assessment Pack.

And here are the answers

GCSE Maths 1-year Schemes of Work – FREE!

February 14, 2011 2 comments

With first certification of the new AQA GCSE Maths in June 2012, one-year courses will be starting this September.

Whether you’re following the AQA Linear spec 4365 or the Modular 4360, we have already prepared Schemes of Work for you! Our Longman AQA GCSE Maths resources are ideal for:

  • All abilities: Higher D to A*, Middle E to B, Foundation G to C
  • Linear and Modular: a single textbook for the course

Click on the image below to get the Higher Sets Linear Scheme of Work.

Speedy route to GCSE

All the others are also FREE on our website. Let us know how you get on!

Mixed Results from November GCSE Exams?

January 25, 2011 1 comment

Anecdotally, we’re hearing that students had a mixed experience with the new AQA GCSE Maths Unit exams last November.

Some of the AO3 questions tripped up a significant number of students and it was tough for Higher and Foundation candidates to achieve full marks on some AO2 questions.

But practice makes closer-to-perfect, and Longman AQA GCSE Maths is full of support for polishing AO2 and AO3 skills. Take a look at this ‘AOk’ page from Unit 1 in our Middle Sets Student Book:




Middle Sets (E to B) Unit 1 AO practice. Click here to download a PDF of this page


The next opportunity for exam entry is 7 March for Unit 1 and 9 March for Unit 2.

Don’t forget that students can now only resit a Unit once!

After the AQA GCSE Maths Unit 1 exam, download FREE algebra tests for Unit 2

November 19, 2010 Leave a comment

You’ve probably seen the recent Unit 1 exam paper for the new AQA GCSE Maths, with 50% of the marks coming from AO2 and AO3 questions.

Watch a short video about this big change from Series Editor Glyn Payne:

Glyn Payne explains the problem-solving involved in the new AQA GCSE Maths spec. Click to play.

Our new resources Longman AQA GCSE Mathematics  provides a stack of practice for AO2 and AO3, as well as helping students secure their basic maths for AO1.

In particular, there are Practice Papers (for both modular and linear) in the  Practice Books that cover the full ability range: Foundation Sets, Middle Sets, Higher Sets plus the special ‘G to F’ and ‘A to A*’  Books. In addition, the Assessment Pack includes Chapter Tests and more Practice Papers.

Moving on to Unit 2 Number and Algebra, download three Free Chapter Tests for ‘Basic Algebra’:

Higher sets: (grades D to A*)

Middle sets: (grades E to B)

Foundation sets: (grades G to C)

And here are the Answers to all three tests – think we’ve got the right ones this time!

Fibonacci Sequences – the Golden Rule about the Golden Ratio, which we just found out…

November 18, 2010 Leave a comment

We just found out something new….

It turns out that if you take the first ten terms of any Fibonacci sequence, the sum of those 10 terms is equal to the 7th term multiplied by 11.  Got it?

OK, let’s unpack that.  Here’s the most basic Fibonacci sequence:


If you plug these into your head/calculator, you will find that the sum of these 10 terms is 143.

Much quicker: take the 7th term (in this case 13), multiply that by 11 and you get, as if by magic… 143.

And it works for any Fibonacci sequence.  Let’s imagine one with bigger numbers starting with (to pick a number completely at random) 42:

42, 42, 84, 126, 210, 336, 546, 882, 1428, 2310

So we add all the terms up on a calculator and get 6,006.

Now, much quicker, jot down the 7th term (here: 546), multiply it by 11 and, hey presto: 546×11=6,006

It’s a trick you can cheerfully teach to your maths students – get them to take it home and impress their parents.  Something along the lines: “hey, dad/mum, I bet I can add up a Fibonacci sequence faster in my head than you can using a calculator”. 

Our thanks to the Republic of Maths blog that brought this to our attention, via this video link.

One final note: the covers on our (as in: Longman’s) AQA GCSE Maths Student Books this year were inspired by spirals.  A spiral galaxy on our Foundation sets book, a spiral staircase on our Higher sets book, and a chameleon’s tail on our Middle sets book (someone must’ve been wondering what this image was?) –