The Questions by Topic collection is available from the top menu and now has an added menu with Level 3 Core Maths added to this resource collection.
Added recently to the KS3/GCSE collection, I really like Jonathan Hall’s customisable Example Problem Pairs on MathsBot.
The GCSE resources on MathsBot allow you to customise by topic.
Note Example – Problem Pairs
This series of pages includes many favourite Underground Maths resources.
The Underground Maths series is now easily accessible from the top menu.
The A Level Mapping page includes some review questions mapped to the A Level specification.
A few more favourite resources…
Categories on Underground Maths
I have so many favourites on Underground Maths, here’s one – Scary Sum!
Following on from an area model for multiplication, for your older students, try Divide it up from Underground Maths, a resource designed to help students to make links between multiplication and division of polynomials using multiplication grids. The problem is presented in the image here, but also provided is a warm-up activity and further notes
See the related post, which includes this resource – Factorisation of Quadratic Expressions.
To log or not to log – Underground Maths
A favourite Underground Maths resource I have used many times – To log or not to log? This has worked really well every time I have used it. The activity requires students to think about the methods which could be used to solve the various equations. I have always found that in addition to working on indices and logarithms this task has exposed some misconceptions, with students trying to invent some new and invalid laws of logarithms!
This problem is classified as a Problem Requiring Decisions.
Students are often used to problems being posed in such a way that they have all the information that they require in order to start, and no more. Problems (especially from the real world) are very often not like this, and so resources of this type will give students the opportunity to develop the skills needed to deal with this. Some problems might not contain enough information, so students may need to decide on classifications, make assumptions or approximations, or do some research in order to move forward. Some problems might contain too much data, so that part of the challenge is to identify the useful information.
Here’s what my students said:
Powerful quadratics, will certainly give your students food for thought, as the authors state:
When students are familiar with concepts and ideas they often benefit from exploring them further to improve their understanding. These problems aim to allow this further exploration, and for example, might bring different techniques together, highlight interesting or unusual cases, or probe the definition of mathematical terms.
A resource I found very useful for the matching functions with their gradient functions is Gradient Match which can be used interactively online. See this post on introducing gradients at GCSE. Note that you can simplify the task by giving students the set of six functions and the six gradient functions separately.
Identify the equations of the circles.
I rather like this review question on circles:
Can we show that these four points lie on a circle?
Good for A level mathematicians – also for my Year 11 Level 2 Further Maths Students.
And of course – Desmos to illustrate.
This diagram could make a rather nice starter…
Underground Maths has many Proof resources; perhaps try these proof sorts, Proving the laws of logarithms or Proving the quadratic formula. Or try this review question…
Can we fully factorise x4+4y4?
Starts with a Show that….
And then we factorise and will need to recall the difference of two squares.
We could get very sophisticated and look at those quadratic factors too; useful for those studying the Level 2 Further Mathematics Qualification.
Can we simplify these algebraic fractions?
Review algebraic fractions, simplifcation including the difference of two squares and quadratic equations. We could of course also talk about functions (including domain and range.
Can we simplify these simultaneous equations of degree 1 and 2?
Solve simultaneous equations, we’ll need simplification of algebraic fractions again and we can talk about the graphical solution of equations. We will also need to factorise a quadratic, 3y2−y−80 with a coefficient which is not 1 for the square term. (See Factorisation of Quadratic Expressions)
With November examinations fast approaching, we have many helpful revision resources available.
I have created a page, Mathematics – November Examinations 2024, a collection of revision resources. I will add any new resources prepared for the November examinations to this page.
The page is easily accessed from the right-hand menu.
Calculator pages are currently being checked and updated.
A series of pages is available from the top menu under Calculators.
Further calculators are available; they will all be available shortly on this blog.
In the meantime, these links will take you to the relevant pages.
For a contrast, see the post No Calculators Allowed.
Estimation by rounding by cparkinson3 is is a complete lesson providing a great variety of problems from basic skills to more challenging ones where learners have to apply their understanding of estimation to solve real-world problems. All needed resources are provided.
Starters collection – KS3 to A Level
See also Custom Maths Revision Starters
Functional Skills
Included in the Functional Skills collection are Maths Made Memorable, Dr Frost Learning, and Transum Mathematics, all of which offer questions by topic.
KS3/GCSE
Sites with clear resources by topic – Number, see also – Ratio, Algebra, Geometry, Probability and Statistics.
From the brilliant 1st Class Maths, 114 Edexcel Foundation Exam Questions covering the full specification with video solutions to all questions.
Remember that you can search for questions on Mr Neill’s brilliant resource for Edexcel, AQA and OCR, or use ExamQ from Mr Watts:
From Mr Neill, a brilliant resource, all Edexcel, AQA and OCR GCSE maths questions categorised by topic with answers.
On Maths Genie you can revise by topic, or access exam papers and mark schemes for Edexcel, AQA and OCR. For AQA and OCR these are simply the papers and mark schemes, the Edexcel papers additionally have worked video solutions.
On Corbett Maths you will find Revision resources, including A Bit of Everything Papers.
IGCSE
For exam questions and resources by topic, see the IGCSE collection.
From Gareth Westwater, see IGCSE questions by topic, on westiesworkshop.com, or on TES, a massive (be patient, there are over 5000 slides) PowerPoint of IGCSE examination questions organised by topic, combining all the individual PowerPoints of exam questions, this is very simple to navigate. Or download older and more recent questions separately.
Level 2 Further Maths
The Level 2 Further Maths collection includes many examples.
A Level Maths
The A Level Maths collection contains numerous teaching resources, many of which offer questions that are easily searchable by topic.
A Level Further Maths
From The Chalkface, we have Edexcel Further Maths exam questions by topic; there are questions available from 2018 – 2022, for Core Pure, Further Pure, Mechanics and Decision, also for the sample papers.
A Level Further Maths
The A Level Further Maths series of pages includes several collections of questions by topic.
See also Further Maths Videos.