For AQA A Level Dr Tom Bennison is adding revision resources to this page. As you can see from Tom’s post he is planning to provide a set of “practice” papers for AQA A-Level Maths and AQA A-Level Further Maths, a paper for OCR FSMQ and then some “Exam warmup” grids for use before the exams.
ExamQ – Mr Watts
On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE and A-Level exam questions. You can choose from GCSE Higher, AS or A level, you can also select by exam series, paper, area and topic. Selecting Summer 2022 Advanced Information displays a menu of questions by paper based on the Advance Information.
The interface is very clear indeed, easily display the questions or mark schemes. You can also see the original paper and mark scheme.
From Pearson/Edexcel, comes a very valuable resource, under Summer 2022, Support, A Level Mathematics Topic Tests, is a new set of topic tests (no login required) for Pure Mathematics (10 tests), Mechanics (5 tests) and Statistics (5 tests) are provided. These are very comprehensive, not only do we have the questions and mark schemes but further notes. Looking at an example, the first test of the Pure Mathematics tests is on Proof, 5 varied questions cover the knowledge, skills and understanding relevant to Pearson’s qualification. The tests are designed to be used with the advance information for the subject as well as general marking guidance for the qualification.
Also available in a similar format from Pearson Edexcel are A Level Further Mathematics Topic Tests. Tests are available in both Word and pdf format for Papers 1 and 2 (9 tests), and Papers 3A (7 tests), 3B (8 tests), 3C (5 tests), and 3D )5 tests.
Pearson Edexcel Further Maths Topic Tests
The first test in the Paper 1 and 2 pack for example is on Proof, 7 questions provide comprehensive coverage of Proof.
Whilst not written for the advance information, the following resources may be useful if you are searching by topic for A level Maths and Further Maths:
From amsp this brilliant collection of short videos produced by the legacy Further Mathematics Support Program supports the Further Maths Specification.
The entries here are recent additions, I will keep this updated as any more resources become available for papers 2 and 3.
From White Rose Maths (scroll down the page) their excellent pre-exam workshops for GCSE paper 2 for Edexcel, AQA and OCR exams boards. These workshops are suitable for foundation and higher students; the workshops are slideshows with answers included – ideal for final revision.
If you are looking for a set of short questions, remember Wayne Chadburn’s little bit of Maths each day calendars, see these for April (paper 2) and May (paper 3). These calendars have been written to focus on each of the papers and the topic lists announced by Edexcel. Solutions are provided.
A collection of resources on solving simultaneous equations…
White Rose Maths – Exemplar questions
We could start with the White Rose Year 10 materials. An Autumn term block is on simultaneous equations; excellent free publications from White Rose include the scheme of learning with small steps, exemplar questions & answers, and Foundation and Higher End of Block assessments with answers.
Building Blocks – Andy Lutwyche
Staying with the idea of small steps, check Building Blocks on Simultaneous Equations, a collection of 14 problems from Andy Lutwyche; I do like this Building Blocks series – a useful reminder of the skills students need and the question types they can encounter. As Andy states – “This takes students through all the skills required to solve simultaneous equations graphically (only linear graphs), by elimination and by substitution including one linear and one non-linear up to GCSE level. Work from the bottom building the skills up to the most complex style of question.”
I have often used the Building Blocks resources as revision resources with GCSE students.
Andy Lutwyche
From Andy, we have several resources on simultaneous equations including Clumsy Clive who is making mistakes on his homework again!
Dr Austin Maths
From Dr Austin Maths we have a lovely collection including some very recent additions on Simultaneous Equations. The collection includes a favourite format of mine – fill in the blanks.
Dr Austin Maths
Note also a new type of activity, sort it out – see Simultaneous Equations sort it out where students must decide which of 4 categories the pair of equations belongs to, which is the most efficient method for solving the equations by elimination?
On Transum Mathematics, several resources on Simultaneous Equations are available. This really is a lovely collection with a great variety of resources. See also the topic list for teachers.
Transum Mathematics – Simultaneous Shopping
For a great introduction to simultaneous equations, try Simultaneous Shopping, a reminder of just how helpful diagrams can be. Level 1 is illustrated.
Simultaneous Shopping – Level 5
Level 5 uses coupons to introduce the idea of negative coefficients.
Don Steward
From Don Steward, see his many (34) Simultaneous Equations posts including an article with some suggested steps for teaching the topic and a series of 6 on generalising which you will see were written in February 2019, a PowerPoint is available for this series.
PixiMaths
From PixiMaths, her Simultaneous Equations collection starts with a lovely introduction using bar models. This collection includes four lessons, including equations where one is linear and the other quadratic.
Matt Woodfine – Maths White Board
On Matt Woodfine’s Maths White Board, search for Simultaneous Equations, illustrated above is a retrieval board on linear simultaneous equations.
In this lesson, students explore a set of two-variable linear equations, constructed so that when you solve any pair of them simultaneously you get solutions which are all nonnegative integers.
From Craig Barton – see Simultaneous Equations Staircase, rather like Colin Foster’s lesson this will provide practise of solving simultaneous equations, whilst at the same time sparking students’ curiosity. Starting with linear sequences, students form a pair of simultaneous equations and solve them. What happens if they start with 2 different sequences?
We could use the excellent Mobile Puzzles from The Transition to Algebra (TTA) project, an initiative of the Learning and Teaching Division at Education Development Center, Inc. (EDC).
Mobile Puzzles Open Middle
Here’s a lovely problem from Open Middle to really get your students thinking, this post includes a Desmos page and a Graspable Maths canvas for the problem.
For practising problems with words try Simultaneous scenarios, the free pdf includes the questions and solutions. Subscribers can access a PowerPoint version.
We should of course illustrate solutions graphically, when working on simultaneous equations using algebra, it is so easy to show a graphical illustration. For exploring graphical solutions, we could use David Smith’s Simultaneous Equations Graphical Solution on Geogebra which includes questions for students to try.
Diagnostic Questions, see from the Eedi Ultimate Scheme of Work – Simultaneous Equations – Linear, Simultaneous Equations – non-linear, and Simultaneous Equations – solving linear equations graphically. You can also find Simultaneous Equations in the exam board collections.
From CIMT, the GCSE materials include Equations, this chapter from the GCSE text includes simultaneous equations in section 10.8 and provides plenty of practice examples including wordy problems.
Nrich resources connected to Simultaneous Equations. Arithmagons are an ideal resource for solving simultaneous equations.
An additional resource is available from today, we have from White Rose Maths (scroll down the page) their excellent pre-exam workshops for GCSE paper 2 for Edexcel, AQA and OCR exams boards. These workshops are suitable for foundation and higher students; the workshops are slideshows with answers included – ideal for final revision.
White Rose Maths
If you are looking for a set of short questions, remember Wayne Chadburn’s little bit of Maths each day calendars, see these for April (paper 2) and May (paper 3). These calendars have been written to focus on each of the papers and the topic lists announced by Edexcel. Solutions are provided.
Have you seen these excellent, and reassuring A level notes for students from Mathsbox? These were made available some time back, my students really like them.
From the excellent MathsBox site, see: Pure Mathematics A Level Notes. The notes have a very comprehensive set of clear and well-explained examples.
