# data[].attributes.headline
STEP, MAT etc questions and Interview questions

# data[].attributes.subject
STEP, MAT etc questions and Interview questions

# data[].attributes.attachment_link.title
Free TMUA Mock Papers & Worked Solutions (PDF) — JZMaths

# data[].attributes.attachment_link.description
Free TMUA mock papers from a full-time maths tutor: sit original papers in a Pearson VUE-style exam simulator, plus a comprehensive logic course with 10+ free worksheets.

# data[].attributes.attachment_link.description
Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

# data[].attributes.attachment_link.readable_text
This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams.

What is STEP?

STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

STEP is designed to test candidates on questions that are similar in style to undergraduate mathematics. Although demanding, preparing for STEP gives you a chance to engage with interesting, challenging mathematics, to stretch yourself and to develop the mathematical reasoning, independence and confidence needed in an undergraduate mathematics degree.

STEP Support Programme - free online resources

The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH. It consists of online modules for individual additional study, along with hints and full solutions.
The resources are free and open to everyone.
The Foundation modules provide a structured introduction to solving STEP problems. The modules also introduce mathematical ideas beyond the A-level syllabus and include supportive self evaluation materials. They are designed to be studied weekly over about 6 months. If you are planning to take STEP 2 and 3 at the end of Year 13, we recommend you start studying the Foundation modules in Year 12. They are also useful for Year 13 students who want to study Mathematics at university but who are not planning to sit STEP papers.

The and modules assume that you have already worked through the foundation modules. We recommend that you start these in Year 13 (ideally you would start working on the STEP 2 modules soon after the beginning of Year 13, and the STEP 3 modules around January of Year 13).

If you have any questions about the assignments, or STEP in general, or feedback about our resources you can email us at step@maths.org, or contact us via twitter @stepsupportcam.

Please see here for more detailed advice on how to use the STEP Support Programme.

Additional supporting material

These resources complement the STEP Support Programme and are designed to help you develop your advanced problem solving skills and mathematical thinking.

STEP questions with solutions at Underground Mathematics

Advanced Problems in Mathematics book

The STEP Support Programme is developed by NRICH, part of the University of Cambridge's Millennium Mathematics Project - maths.org, on behalf of the Faculty of Mathematics. (c) University of Cambridge. Email us: step@maths.org.

# data[].attributes.attachment_link.description
This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams. STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

# data[].attributes.body
mathsaurus

# data[].attributes.attachment_link.readable_text
Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level.

Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses.

Chapter 2 Surds and Indices

You can also buy a copy of the textbook for your syllabus below (OCR A, AQA, MEI):

Chapter 21 Variable Acceleration

# data[].attributes.attachment_link.title
A level topics by Textbook Chapter - Year 1 and AS

# data[].attributes.attachment_link.description
Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level. Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses....

# data[].attributes.attachment_link.readable_text
About the test

Why is there a test?
We can't interview all our applicants in the time available, so we shortlist around three applicants for every place to interview. To help us decide who to shortlist, we set the Mathematics Admissions Test (MAT) which all applicants for Maths, Computer Science, or joint honours courses must take. There is no "pass" mark for the MAT; we use the information from the test, together with all the details of your UCAS application and information about school background to decide who to shortlist.
What does the MAT test?
The MAT aims to test the depth of mathematical understanding of a student in the fourth term of their A-levels (or equivalent) rather than a breadth of knowledge. It is set with the aim of being approachable by all students, including those without Further Mathematics A-level, and those from other educational systems (e.g. Baccalaureate and Scottish Highers).

The MAT syllabus is based on the first year of A level Maths, and a few topics from the fourth term of A level Maths which we think students will have covered by the time of the test.
How do I register?
You need to take the test at a registered test centre. Test centres (e.g. schools or colleges) can register here.
Can I take the TMUA instead?
No. The Test of Mathematics for University Admission (TMUA) is used by several universities, but is not used by Oxford. We recommend that you check the course pages of the other universities you plan to apply to.
Can I take STEP/ BMO/ IMO instead?
No.
Please note

No calculators, formula sheets or dictionaries are permitted during the test.

Further credit cannot be gained by attempting questions other than those appropriate to the degree applied for.

Test Information

Candidates should attempt five of the six questions, depending on the degree for which they are applying.

Mathematics / Mathematics & Statistics, Mathematics & Philosophy applicants should attempt questions 1, 2, 3, 4, and 5

Mathematics & Computer Science, Computer Science, Computer Science & Philosophy applicants should attempt questions 1, 2, 3, 5, and 6

Question 1 is multiple choice, and contains 10 parts each worth 4 marks. Marks are given solely for the correct answers. Questions 2-6 are longer questions, each worth 15 marks, and candidates will need to show their working. Part marks are available for the longer questions.

Marking FAQs

How is the test marked?
The MAT is marked by University of Oxford graduate students. For the multiple-choice questions, there are no marks available for working out. For the long questions, our markers will look carefully at what you've written and give you an appropriate number of marks following an agreed mark scheme.
Do I get marks for working out?
Yes, on questions 2-6 there are marks for working out.
Do I have to use the method in the solutions document (or in the solutions video)?
No- if you follow the instructions in the question and you do correct mathematics, then you should get the marks. Provided you've followed the instructions in the question and it's clear what you're doing, you should get the marks.

Applying to Imperial and/or Warwick?

If you're applying to particular courses at the University of Warwick and/or Imperial College London, then you may be eligible to take the MAT. Here is some advice.

1. Instructions for Oxford take priority - if you're applying to an Oxford course and also to an Imperial or Warwick course, then you do the MAT questions for your Oxford course. If you're not applying to Oxford, you'll attempt questions 1, 2, 3, 4, and 5.

2. At registration, select the UCAS code for the Oxford course you're applying to, or select G100 if you're not applying to Oxford.

3. Make sure to tick the box/boxes to indicate that you're applying to Imperial and/or Warwick.

4. Imperial and/or Warwick will receive your MAT score automatically and securely. You don't need to do anything.

For more information from Imperial, see this page.

For more information from Warwick, see this page.

Key dates

29 September 2023: MAT registration deadline

19 October 2023: Test date

November 2023: Oxford shortlisting decisions sent to applicants.

January 2024: Final Oxford decisions sent to applicants. MAT scores sent to Oxford applicants automatically.

How to prepare for the MAT

The video contains advice about the MAT.

The MAT syllabus contains the mathematics that we expect you to know by the time of the test.

For practice resources, see the Oxford MAT Livestream.

You might also like the following resources to practice problem-solving;

The AMSP organises Problem Solving Matters, hosted at universities around the UK. This problem-solving course aims to help students prepare for university mathematics.

Next:

Our admissions tutors use MAT scores together with information from the UCAS application to decide who to shortlist for interview.

Please contact us for feedback and comments about this page. Last updated on 06 Oct 2023 13:24.

# data[].attributes.attachment_link.description
Why is there a test? We can't interview all our applicants in the time available, so we shortlist around three applicants for every place to interview. To help us decide who to shortlist, we set the Mathematics Admissions Test (MAT) which all applicants for Maths, Computer Science, or joint honours courses must take.

# data[].attributes.headline
Dr Frost MAT Paper Support & Past Papers

# data[].attributes.subject
Dr Frost MAT Paper Support & Past Papers

# data[].attributes.attachment_link.description
DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

# data[].attributes.attachment_link.title
About STEP | Cambridge Assessment Admissions Testing

# data[].attributes.attachment_link.description
Find out about taking the STEP (Sixth Term Examination Paper) Mathematics admissions test, as part of your application to study Mathematics or mathematics-related undergraduate courses.

# data[].attributes.attachment_link.readable_text
Overview

This is an online course to prepare students for the STEP (Sixth Term Examination Paper). The STEP is an admissions test used primarily by the University of Cambridge and the University of Warwick.

The course will consist of ten online sessions, each lasting an hour. STEP Online will run from February through to June, with exact dates to be confirmed nearer the time. Once we have received bookings for this course, we will organise sessions at the most convenient time for course participants.

Aims

To introduce mathematical problems of the difficulty level of the STEP admissions tests.

To provide support for students preparing for the STEP admissions tests.

Who will benefit from attending?

Students who will be sitting one or more of the STEP papers in the summer of 2021.

Content

Session 1

Dividing by zero

Session 2

Inequalities and proof by induction

Session 3

Systematic search or proof by exhaustion

Session 4

Necessary and sufficient conditions

Session 5

Reduction ad absurdum and irrational numbers

Session 6

Curve sketching

Session 7

General solutions of trigonometric equations

Session 8

Differential equations

Session 10

Applied Mathematics (Mechanics and Statistics)

Live online sessions will include discussion of key points and examples from past papers. Course participants will be given access to recordings of the sessions if they are not able to attend a live session. Participants will also be given access to additional online resources including extra notes, exercise sheets and solutions.

Materials and Equipment

You will need a computer with a broadband internet connection, a microphone or headset, and a graphics tablet. Communication with the course tutor during the live sessions is via microphone or headset.

Cost

The cost of the course is £160.

Students from state-funded schools who are unable to pay this amount due to financial hardship may be eligible for a free place on the course. Contact your local Area Coordinator for more details.

Find a course

There are currently no events of this type planned. Please check again at a later date.

# data[].attributes.attachment_link.description
This is an online course to prepare students for the STEP (Sixth Term Examination Paper). The STEP is an admissions test used primarily by the University of Cambridge and the University of Warwick. The course will consist of ten online sessions, each lasting an hour.

# data[].attributes.attachment_link.readable_text
Free solutions to all STEP Mathematics papers from 1996-2014 and all AEA Mathematics Papers (2002 - 2014 and the specimen paper) are freely available under guest access via this button:

Or go to Integral. From there use

Username: mei-stepaea
Password: Stepaea1

The STEP paper worked solutions were kindly donated to MEI by Peter Mitchell who originally wrote them for his Meikleriggs mathematics website and continues to provide annual updates for the latest STEP papers.

STEP Online course opens for bookings
More >>

The winner of the AMSP's Visualising the Climate Crisis Competition has been announced
More >>

Free promotional codes for MEI's Sumaze! apps
More >>

# data[].attributes.attachment_link.title
STEP and AEA Past Paper Worked Solutions

# data[].attributes.attachment_link.description
Free solutions to all STEP Mathematics papers from 1996-2014 and all AEA Mathematics Papers (2002 - 2014 and the specimen paper) are freely available under guest access via this button: Or go to Integral.

# data[].attributes.attachment_link.readable_text
The free online Transition to University Course 2022 is designed to support Year 13 students to study at their own pace to consolidate key A level topics. It also introduces some new topics that will be valuable additional study in preparation for undergraduate degree courses in areas such as maths, engineering, or sciences.

Who is the course for?

The Transition to University Course 2022 course is designed for students who are:

currently in Year 13 or taking a gap year.

studying A level Mathematics.

planning to begin studying a degree in maths, engineering, sciences, or closely related subjects such as economics in 2022 (or choosing to defer their entry until 2023).

What does the course cover?

We've designed this free online course to help students revise some of the later content of A level Mathematics. It also offers the opportunity for an introduction to some topics studied in AS Further Mathematics, such as complex numbers and matrices. We've chosen topics which will be helpful to those progressing to degrees in maths, physics, engineering, and closely related subjects.

The course is comprised of presentations, notes, exercises, and other self-study resources. Students can complete formative assessments for each topic so that they can check their progress and understanding.

The video below contains more details about the course:

How is the course designed to be used?

The Transition to University Course 2022 has been designed to allow students the flexibility to opt into the most relevant topic areas for their chosen undergraduate degree course but, of course, we encourage students to study all of the topics!

How do students access the course?

To get an idea of what to expect on the course, you can view a sample of one of the topics below.

The course will begin week commencing Monday 27 June 2022, with resources released weekly over a six-week period.

The sessions will be recorded and students can continue to register for access until Wednesday 30 November 2022. They will receive access to the course until Tuesday 31 January 2023.

# data[].attributes.attachment_link.description
The free online Transition to University Course 2022 is designed to support Year 13 students to study at their own pace to consolidate key A level topics. It also introduces some new topics that will be valuable additional study in preparation for undergraduate degree courses in areas such as maths, engineering, or sciences.

# data[].attributes.attachment_link.readable_text
Fourier transforms are a tool used in a whole bunch of different things. This is an explanation of what a Fourier transform does, and some different ways it can be useful. And how you can make pretty things with it, like this thing:

I'm going to explain how that animation works, and along the way explain Fourier transforms!

By the end you should have a good idea about

What a Fourier transform does

Some practical uses of Fourier transforms

Some pointless but cool uses of Fourier transforms

We're going to leave the mathematics and equations out of it for now. There's a bunch of interesting maths behind it, but it's better to start with what it actually does, and why you'd want to use it first. If you want to know more about the how, there's some further reading suggestions below!

So what is this thing?

Put simply, the Fourier transform is a way of splitting something up into a bunch of sine waves. As usual, the name comes from some person who lived a long time ago called Fourier.

Let's start with some simple examples and work our way up. First up we're going to look at waves - patterns that repeat over time.

Here's an example wave:

This wavy pattern here can be split up into sine waves. That is, when we add up the two sine waves we get back the original wave.

The Fourier transform is a way for us to take the combined wave, and get each of the sine waves back out. In this example, you can almost do it in your head, just by looking at the original wave.

Why? Turns out a lot of things in the real world interact based on these sine waves. We usually call them the wave's frequencies.

The most obvious example is sound - when we hear a sound, we don't hear that squiggly line, but we hear the different frequencies of the sine waves that make up the sound.

Play Full Wave

Play High Frequency

Play Low Frequency

Being able to split them up on a computer can give us an understanding of what a person actually hears. We can understand how high or low a sound is, or figure out what note it is.

We can also use this process on waves that don't look like they're made of sine waves.

Let's take a look at this guy. It's called a square wave.

It might not look like it, but it also can be split up into sine waves.

We need a lot of them this time - technically an infinite amount to perfectly represent it. As we add up more and more sine waves the pattern gets closer and closer to the square wave we started with.

Play Wave
Drag the slider above to play with how many sine waves there are.
Visually, you'll notice that actually the first few sine waves are the ones that make the biggest difference. With the slider halfway, we have the general shape of the wave, but it's all wiggly. We just need the rest of the small ones to make the wigglyness flatten out.

When you listen to the wave, you'll hear the sound get lower, because we're removing the higher frequencies.

This process works like that for any repeating line. Give it a go, try drawing your own!

Play Wave
Move the slider to see how as we add more sine waves, it gets closer and closer to your drawing
Again, aside from the extra wigglyness, the wave looks pretty similar with just half of the sine waves.

We can actually use the fact that the wave is pretty similar to our advantage. By using a Fourier transform, we can get the important parts of a sound, and only store those to end up with something that's pretty close to the original sound.

Normally on a computer we store a wave as a series of points.

What we can do instead is represent it as a bunch of sine waves. Then we can compress the sound by ignoring the smaller frequencies. Our end result won't be the same, but it'll sound pretty similar to a person.

This is essentially what MP3s do, except they're more clever about which frequencies they keep and which ones they throw away.

So in this case, we can use Fourier transforms to get an understanding of the fundamental properties of a wave, and then we can use that for things like compression.

Ok, now let's dig more into the Fourier transform. This next part looks cool, but also gives you a bit more understanding of what the Fourier transform does. But mostly looks cool.

Epicycles

Now at the start, I said it splits things into sine waves. The thing is, the sine waves it creates are not just regular sine waves, but they're 3D. You could call them "complex sinusoids". Or just "spirals".

If we take a look from the side, they look like sine waves. From front on, though, these look like circles.

So far everything we've been doing has only required the regular 2D sine waves. When we do a Fourier transform on 2D waves, the complex parts cancel out so we just end up with sine waves.

But we can use the 3D sine waves to make something fun looking like this:

What's going on here?

Well, we can think of the drawing as a 3D shape because of the way it moves around in time. If you imagine the hand being drawn by a person, the three dimensions represent where the tip of their pencil is at that moment. The x and y dimensions tell us the position, and then the time dimension is the time at that moment.

Now that we have a 3D pattern, we can't use the regular 2D sine waves to represent it. No matter how many of the 2D sine waves we add up, we'll never get something 3D. So we need something else.

What we can use is the 3D spiral sine waves from before. If we add up lots of those, we can get something that looks like our 3D pattern.

Remember, these waves look like circles when we look at them from front on. The name for the pattern of a circle moving around another circle is an epicycle.
Use the slider above to control how many circles there are.
Like before, we get a pretty good approximation of our pattern with just a few circles. Because this is a fairly simple shape, all the last ones do is make the edges a little sharper.

All this applies to any drawing, really! Now it's your chance to play around with it.
Use the slider to control how many circles are used for your drawing
Again, you'll see for most shapes, we can approximate them fairly well with just a small number of circles, instead of saving all the points.

Can we use this for real data? Well, we could! In reality we have another data format called SVG, which probably does a better job for the types of shapes we tend to create. So for the moment, this is really just for making cool little gifs.

There is another type of visual data that does use Fourier transforms, however.

JPEGs

Did you know Fourier transforms can also be used on images? In fact, we use it all the time, because that's how JPEGs work! We're applying the same principles to images - splitting up something into a bunch of sine waves, and then only storing the important ones.

Now we're dealing with images, we need a different type of sine wave. We need to have something that no matter what image we have, we can add up a bunch of these sine waves to get back to our original image.

To do that, each of our sine waves will be images too. Instead of a wave that's a line, we now have images with black and white sections. To represent the size of a wave, each image will have more or less contrast.

We can also use these to represent color in the same way, but let's start with black-and-white images for now. To represent colorless images, we need some horizontal wave images,

Along with some vertical wave images.

By themselves, just horizontal and vertical images aren't enough to represent the types of images we get. We also need some extra ones that you get by multiplying the two together.

For an 8x8 image, here are all the images we need.

If we take the images, adjust their contrast to the right amount, and then add them up we can create any image.

Let's start with this letter 'A'. It's pretty small, but we need it to be small otherwise we'll end up with too many other images.

As we add more and more of these images, we end up with something that becomes closer and closer to the actual image. But I think you'll see the pattern here, as we get a reasonable approximation with just a few of them.

For actual JPEG images there are just a few extra details.

The image gets broken up into 8x8 chunks, and each chunk gets split up separately. We use a set of frequencies to determine how light or dark each pixel is, and then another two sets for the color, one for red-green, and another for blue-yellow. The number of frequencies that we use for each chunk determines the quality of the JPEG.

Here's a real JPEG image, zoomed in so we can see the details. When we play with the quality levels we can see this process happen.

Conclusion

So let's recap:

Fourier transforms are things that let us take something and split it up into its frequencies.

The frequencies tell us about some fundamental properties of the data we have

And can compress data by only storing the important frequencies

And we can also use them to make cool looking animations with a bunch of circles

This is just scratching the surface into some applications. The Fourier transform is an extremely powerful tool, because splitting things up into frequencies is so fundamental. They're used in a lot of fields, including circuit design, mobile phone signals, magnetic resonance imaging (MRI), and quantum physics!

Questions for the curious

I skipped most of the math stuff here, but if you're interested in the underlying principles of how it works, here are some questions you can use to guide your research:

How do you mathematically represent a Fourier transform?

What's the difference between a continuous time Fourier transform and a discrete time Fourier transform?

How do you computationally do a Fourier transform?

How do you do a Fourier transform of a whole song? (Rather than just a single note.)

Further 'reading'

To learn more, some really good resources you can check out are:

An Interactive Guide To The Fourier Transform A great article that digs more into the mathematics of what happens.

But what is the Fourier Transform? A visual introduction. A great Youtube video by 3Blue1Brown, also explaining the maths of Fourier transforms from an audio perspective.

A Tale of Math & Art: Creating the Fourier Series Harmonic Circles Visualization Another article explaining how you can use epicycles to draw a path, explained from a linear algebra perspective.

Fourier transform (Wikipedia) And of course, the Wikipedia article is pretty good too.

The author

I'm Jez! Full time I work at a search company in the Bay Area, and in my spare time I like making games and interactive code things like this!

This webpage is open-source, you can check out the code on GitHub! If you have any feedback or want to ask any questions, feel free to email me at fourier [at] jezzamon [dot] com, or shoot me a tweet on Twitter.

If you want to see more of my work, check out my homepage, and if you want to see what I'm making next, you can follow my Twitter account, @jezzamonn!

# data[].attributes.attachment_link.title
An Interactive Introduction to Fourier Transforms

# data[].attributes.attachment_link.description
Fourier transforms are a tool used in a whole bunch of different things. This is an explanation of what a Fourier transform does, and some different ways it can be useful.

# data[].attributes.attachment_link.description
Loads of maths teaching and learning resources for teachers and students. Check out our problem solving questions, space-maths activities, past paper links and... guess the tunes!

# data[].attributes.attachment_link.description
Welcome to www.mathshelper.co.uk, the 3,457,341st best mathematical website in the world. I hope you will find the content useful. I am absolutely rubbish at web design (no cookies to worry about here), but I have finally learnt a little PHP and a very little Python, so it can now generate the resources tailored to your specific needs.

# data[].attributes.attachment_link.readable_text
Your science or engineering course will contain quite a lot of maths: many scientific phenomena are described by equations, rates of change will be important and graphs will be used. It is important that you feel comfortable with all of these, so some practice and revision of what you already know will enable you to concentrate on the new scientific concepts you will meet.

# data[].attributes.attachment_link.title
STEM - A-level Maths | Mathematics Learning Support Centre | Loughborough University

# data[].attributes.attachment_link.description
Your science or engineering course will contain quite a lot of maths: many scientific phenomena are described by equations, rates of change will be important and graphs will be used. It is important that you feel comfortable with all of these, so some practice and revision of what you already know will enable you to concentrate on the new scientific concepts you will meet.

# data[].attributes.attachment_link.title
MadAsMaths :: Maths Booklets :: Advanced Topics

# data[].attributes.attachment_link.title
Oxford Mathematics Student Lectures - Introduction to University Mathematics

# data[].attributes.attachment_link.description
This course is taken in the first two weeks of the first year of the Oxford mathematics degree. It introduces the concepts and ways of mathematical thinking ...

# data[].attributes.attachment_link.readable_text
This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams.

What is STEP?

STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

STEP is designed to test candidates on questions that are similar in style to undergraduate mathematics. Although demanding, preparing for STEP gives you a chance to engage with interesting, challenging mathematics, to stretch yourself and to develop the mathematical reasoning, independence and confidence needed in an undergraduate mathematics degree.

STEP Support Programme - free online resources

The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH. It consists of online modules for individual additional study, along with hints and full solutions.
The resources are free and open to everyone.
The Foundation modules provide a structured introduction to solving STEP problems. The modules also introduce mathematical ideas beyond the syllabus and include supportive self evaluation materials. They are designed to be studied weekly over about 6 months. If you are planning to take STEP 2 and 3 at the end of Year 13, we recommend you start studying the Foundation modules in Year 12. They are also useful for Year 13 students who want to take STEP 1.

The and modules assume that you have already worked through the foundation modules. We recommend that you start these in Year 13 (ideally you would start working on the STEP 2 modules soon after the beginning of Year 13, and the STEP 3 modules around January of Year 13).

If you have any questions about the assignments, or STEP in general, or feedback about our resources you can email us at step@maths.org, or contact us via twitter @stepsupportcam.

Please see here for more detailed advice on how to use the STEP Support Programme.

Additional supporting material

These resources complement the STEP Support Programme and are designed to help you develop your advanced problem solving skills and mathematical thinking.

STEP questions with solutions at Underground Mathematics

Advanced Problems in Mathematics book

The STEP Support Programme is developed by NRICH, part of the University of Cambridge's Millennium Mathematics Project - maths.org, on behalf of the Faculty of Mathematics. (c) University of Cambridge. Email us: step@maths.org.

# data[].attributes.attachment_link.description
This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams. STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

# data[].attributes.headline
Edexcel A Level Mathematics Specification

# data[].attributes.subject
Edexcel A Level Mathematics Specification

# data[].attributes.headline
Edexcel A Level Further Mathematics Specification

# data[].attributes.subject
Edexcel A Level Further Mathematics Specification

# data[].attributes.headline
Mathematical Formulae & Statistical Tables

# data[].attributes.subject
Mathematical Formulae & Statistical Tables

# data[].attributes.attachment_link.description
DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

# data[].attributes.attachment_link.description
DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

# data[].attributes.attachment_link.description
DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

# data[].attributes.attachment_link.description
DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

# data[].attributes.body
Thanks Dr Bennison for the questions taken from SAMs for all exam boards.

# data[].attributes.attachment_link.readable_text
This is going to be the first of a few posts this week, finally sharing things that I should have shared since the beginning of the year. Many of them are things that I think will be helpful for A-Level revision.

The first is the Exam Question A Day booklet I have put together for my Year 13 classes. I am really pushing the "do a bit of maths every day" mantra this year, and for some it seems to be having a positive impact 🙂

Every question in this is taken from the SAMs for AS or A-Level Mathematics and so don't use any of the questions contained in the practice paper sets that are kept secure by each of the exam boards, so secure mocks aren't affected etc. I have used questions from each of the 4 boards - AQA, Edexcel, OCR, OCR (MEI) - as maths is just maths after all.

At the moment the file contains questions for February and March. The questions for April will be added by the end of this month - keep an eye out for the post about this.

The topics covered in the February and March questions are shown below:

If you want to use this with your classes please feel free to download it from here.

# data[].attributes.attachment_link.description
This is going to be the first of a few posts this week, finally sharing things that I should have shared since the beginning of the year. Many of them are things that I think will be helpful for A-...

# data[].attributes.body
These questions (basic cover AS and Standard A Level plus Statistics and Mechanics) are starred by difficulty and included exam type questions from standard to super challenging. They also manage to do some lovely combinations of topics fitting the themes of new a level.

# data[].attributes.attachment_link.readable_text
MadAsMaths.com :: Home

It is with great sadness that we announce the passing of creator/owner of the MadAsMaths website, Trifon Madas. This website will remain freely available for all its users, in his memory. However, please note that it will have a static format, there will be no further updates and the Contact form has been deactivated.

Free Resources for Students and Teachers of Mathematics.

In the 33 years of my involvement with mathematics I have produced, collected and accumulated a huge number of resources in many different forms.

I have used these resources with my teaching and lecturing, guiding several students into their mathematical careers.

Most of the material I have created is contained in this website and an overview is shown below.

Mathematical booklets, classified by topic, with a large number of questions and full solutions.

Practice papers with full solutions.

For the latest news click HERE .

The aim of this website is to give away mathematical resources, absolutely free!

It will give me immense pleasure to know that I have contributed to the education of yet more mathematicians, even if I did not personally meet them.

Enjoy !

[... and the homepage would not be complete without answering one of the most frequently asked questions ...

No, I do not post/help in TSR anymore because in my opinion it has little educational value, and is mostly run by talentless immature individuals ....]

SUBSCRIBE ON OUR BRAND NEW YOUTUBE CHANNEL!!!

Unfortunately I cannot put on the website past papers and solutions for examining boards or Universities due to copyright restrictions. I possess past papers for all A level boards and all modules, with some boards going back as far as the seventies. I will investigate ways into sharing these resources in the future.

# data[].attributes.body
Videos and Questions on topics for the new A Level

# data[].attributes.attachment_link.description
AS Level P1 Surds Revise Learn Challenge Ans P2 Indices Revise Learn Challenge Ans P3 Quadratic equations Revise Learn Challenge Ans P4 Inequalities Revise Learn Challenge Ans P5 Linear graphs Revise Learn Challenge Ans P6 Polynomial functions Revise Learn Challenge Ans P7 Circles Revise Learn Chall…

# data[].attributes.body
These questions (basic cover AS and Standard A Level plus Statistics and Mechanics) are starred by difficulty and included exam type questions from standard to super challenging. They also manage to do some lovely combinations of topics fitting the themes of new a level.

# data[].attributes.attachment_link.readable_text
MadAsMaths.com :: Home

It is with great sadness that we announce the passing of creator/owner of the MadAsMaths website, Trifon Madas. This website will remain freely available for all its users, in his memory. However, please note that it will have a static format, there will be no further updates and the Contact form has been deactivated.

Free Resources for Students and Teachers of Mathematics.

In the 33 years of my involvement with mathematics I have produced, collected and accumulated a huge number of resources in many different forms.

I have used these resources with my teaching and lecturing, guiding several students into their mathematical careers.

Most of the material I have created is contained in this website and an overview is shown below.

Mathematical booklets, classified by topic, with a large number of questions and full solutions.

Practice papers with full solutions.

For the latest news click HERE .

The aim of this website is to give away mathematical resources, absolutely free!

It will give me immense pleasure to know that I have contributed to the education of yet more mathematicians, even if I did not personally meet them.

Enjoy !

[... and the homepage would not be complete without answering one of the most frequently asked questions ...

No, I do not post/help in TSR anymore because in my opinion it has little educational value, and is mostly run by talentless immature individuals ....]

SUBSCRIBE ON OUR BRAND NEW YOUTUBE CHANNEL!!!

Unfortunately I cannot put on the website past papers and solutions for examining boards or Universities due to copyright restrictions. I possess past papers for all A level boards and all modules, with some boards going back as far as the seventies. I will investigate ways into sharing these resources in the future.

# data[].attributes.body
Videos and Questions on topics for the new A Level

# data[].attributes.attachment_link.description
AS Level P1 Surds Revise Learn Challenge Ans P2 Indices Revise Learn Challenge Ans P3 Quadratic equations Revise Learn Challenge Ans P4 Inequalities Revise Learn Challenge Ans P5 Linear graphs Revise Learn Challenge Ans P6 Polynomial functions Revise Learn Challenge Ans P7 Circles Revise Learn Chall…

# data[].attributes.attachment_link.readable_text
David M.

University of Exeter - MSc Physics

First-class Physics graduate and Full-time online tutor with over 1000+ hours experience and 50+ students taught!

For each of the exam boards below, there are revision notes, cheatsheets, worksheets, questions by topic, model solutions and past papers.

GCSEs

Questions by Topic

Notes and Worksheets

Maths A-levels

Further Maths A-levels

International A-levels

# data[].attributes.attachment_link.description
Revision notes, summary sheets with key points, checklists, worksheets, topic questions and papers with model solutions for AQA, Edexcel, OCR, MEI Maths A-level

# data[].attributes.attachment_link.readable_text
David M.

University of Exeter - MSc Physics

First-class Physics graduate and Full-time online tutor with over 1000+ hours experience and 50+ students taught!

For each of the exam boards below, there are revision notes, cheatsheets, worksheets, questions by topic, model solutions and past papers.

GCSEs

Questions by Topic

Notes and Worksheets

Maths A-levels

Further Maths A-levels

International A-levels

# data[].attributes.attachment_link.description
Revision notes, summary sheets with key points, checklists, worksheets, topic questions and papers with model solutions for AQA, Edexcel, OCR, MEI Maths A-level

# data[].attributes.body
Practice papers (written by Crash Maths) and other resources

# data[].attributes.attachment_link.description
AS/A Level GCE A Level Maths & Further Maths Sign up for content updates > Buy a textbook > Work with us > We are always looking

# data[].attributes.attachment_link.description
Looking for reliable online Maths tutor in the UK? Our experienced tutors provide tailored, one-on-one support to help students of all levels achieve their academic goals.

# data[].attributes.body
Papers and videos in topics

# data[].attributes.attachment_link.description
Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions.

# data[].attributes.body
Papers and videos in topics

# data[].attributes.attachment_link.description
Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions.

# data[].attributes.body
mathsaurus

# data[].attributes.attachment_link.readable_text
Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level.

Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses.

Chapter 2 Surds and Indices

You can also buy a copy of the textbook for your syllabus below (OCR A, AQA, MEI):

Chapter 21 Variable Acceleration

# data[].attributes.attachment_link.title
A level topics by Textbook Chapter - Year 1 and AS

# data[].attributes.attachment_link.description
Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level. Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses....

# data[].attributes.body
Naiker maths

# data[].attributes.attachment_link.readable_text
I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

I will be mainly producing and collecting a huge number of resources to help students in their revision and passing their exams and assisting other teachers in teaching the subject. I will be writing exam style questions tailored to the new GCSE (9-1), new A level and new Further Maths specifications, which can be used by students for revision and teachers in the classroom. I aim to produce worked solutions for most of the questions on the website although that will take some time.

Some of the contents are not available yet but I will be adding contents and resources on an ongoing basis.

Latest Updates :
Dec 2020 - 4 Practice Papers, including both Pure & Applied, for Year 12 have been uploaded to 'Year 1 AS Pure' page under 'Extra Resources'. Those are perfect revision materials for the Year 12 students at the end of their Year 12 course and who are about to start the Year 13 curriculum. Those papers provide a smooth transition to Year 13 as they focus more on problem solving skills

July 2020 - 15 A level Pure Practice Papers & 17 Mechanics A level Papers have now been uploaded to 'A level Practice Papers' page. These papers are excellent revision resources for A level exam revision

If you can help support my running costs with a donation or wish to sponsor the site then please get in touch.

# data[].attributes.attachment_link.description
I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

# data[].attributes.body
Naiker maths

# data[].attributes.attachment_link.readable_text
I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

I will be mainly producing and collecting a huge number of resources to help students in their revision and passing their exams and assisting other teachers in teaching the subject. I will be writing exam style questions tailored to the new GCSE (9-1), new A level and new Further Maths specifications, which can be used by students for revision and teachers in the classroom. I aim to produce worked solutions for most of the questions on the website although that will take some time.

Some of the contents are not available yet but I will be adding contents and resources on an ongoing basis.

Latest Updates :
Dec 2020 - 4 Practice Papers, including both Pure & Applied, for Year 12 have been uploaded to 'Year 1 AS Pure' page under 'Extra Resources'. Those are perfect revision materials for the Year 12 students at the end of their Year 12 course and who are about to start the Year 13 curriculum. Those papers provide a smooth transition to Year 13 as they focus more on problem solving skills

July 2020 - 15 A level Pure Practice Papers & 17 Mechanics A level Papers have now been uploaded to 'A level Practice Papers' page. These papers are excellent revision resources for A level exam revision

If you can help support my running costs with a donation or wish to sponsor the site then please get in touch.

# data[].attributes.attachment_link.description
I am a full time Mathematics teacher and the aim of this website is to give away mathematical resources, free of charge! It will give me absolute pleasure to know that I have contributed to the education of mathematics and to the development of mathematicians!

# data[].attributes.body
Uplearn

# data[].attributes.attachment_link.readable_text
"I had hit a plateau in revision and couldn't work out what to do next to improve my grades. Up Learn showed me the specific areas I was struggling with, which allowed me to instantly improve at them. And when I got stuck on something, it was great that there was always a tutor there to help. My exams went great and I got an A in Economics AS! Thank you for providing Up Learn it really made the difference!"

- Achieved A in Edexcel AS Economics - Afiba Annor (Student)

"It's been quite a year with me not being able to do Economics in school and in January taking the decision to do it myself, my teachers said it would jeopardise my future ambitions and people tried scaring me from economics saying it was really hard and I'd be lucky to get a D.
But I worked hard and found your awesome site and today it all paid off when I got an A!! I'd just like to say how I couldn't have done it without the effort and quality you put into Up Learn, for someone who started the AS mid year and never did economics, Up Learn has certainly worked a miracle in helping me get an A!
Thank you for making economics fun and easy, I can't wait for next year!"

- Achieved A in Edexcel AS Economics - Zayn Sherali (Student)

"After achieving a D in my first Economics mock in December, I almost felt like giving up, and was questioning myself why I ever chose Economics in the first place! I then came across Up Learn on a well-known search engine, to complement my studies. Overall, I found the service exceptional. In particular, the support and motivation offered by Mr Andrew, who is a world class tutor at LSE. They marked individual questions I tackled from past paper questions, as well as help build my strategy to answer 10, 15 and 20 mark questions. Andrew would always spend his time with no constraint. I ended up getting an A at Economics AS as a result."

- Achieved A in Edexcel AS Economics - Mohit L (Student)

"Up Learn is an incredible and ingenious learning device. After attaining a disappointing U grade in my Economics January mocks, I decided to use Up Learn. Up Learn teaches you in a very effective way, allowing you to easily remember knowledge using different and simple learning techniques. By using Up Learn alone for my Economics revision, I attained an A in my recent Economics assessment, after using Up Learn for only two and half months! I have no reservations and would recommend Up Learn to anyone."

- Achieved A in Edexcel AS Economics - Ayo M (Student)

# data[].attributes.attachment_link.description
"I had hit a plateau in revision and couldn't work out what to do next to improve my grades. Up Learn showed me the specific areas I was struggling with, which allowed me to instantly improve at them. And when I got stuck on something, it was great that there was always a tutor there to help.

# data[].attributes.attachment_link.description
Educational videos to support students studying mathematics at Haybridge High School. Videos covering A Level Mathematics, A Level Further Mathematics, AS Statistics and Level 3 Core Mathematics.

# data[].attributes.attachment_link.readable_text
Integral

These comprehensive resources cover the whole of A level Mathematics and Further Mathematics, tailored to the AQA, Edexcel, OCR and MEI specifications.

Students can obtain login details from the maths department at their school or college, provided it has registered with the AMSP.

This news item provides further details.

Useful for:

Self-studying new topics, practicing, revising and extra challenge.

Go to resource ‌

# data[].attributes.attachment_link.title
Useful resources for students self-studying AS/A level Mathematics and Further Mathematics

# data[].attributes.attachment_link.description
These comprehensive resources cover the whole of A level Mathematics and Further Mathematics, tailored to the AQA, Edexcel, OCR and MEI specifications. Students can obtain login details from the maths department at their school or college, provided it has registered with the AMSP. This news item provides further details.

# data[].attributes.body
Powerpoints, videos, mixed exercises

# data[].attributes.attachment_link.readable_text
Welcome To Westie's Workshop. Your one stop-shop for the best support for Mathematics from across the web. Use the links below to navigate to the relevant section, or click the about tab to find out more.

Last 5 Updates:

07/06/2023 - A2 Past Paper Questions by Topic updated to 2022

14/01/2023 - Maths 4 Everyone Worksheets, Topic Reviews, Codebreakers, Loops, Workbooks and Exam Booklets Added

28/12/2022 - Pixi Maths GCSE Resources Added, Dr Austin Resources Updated

19/08/2022 - Dr Austin Maths Worksheets Added

15/08/2022 - Dr Frost Key Skills for GCSE Course Support Added with Videos, A-Level Key Skills Updated

[For all updates, click here]

# data[].attributes.attachment_link.title
Westie's Workshop - Course Support. Past Paper Questions by Topic. For Free.

# data[].attributes.attachment_link.description
Welcome To Westie's Workshop. Your one stop-shop for the best support for Mathematics from across the web. Use the links below to navigate to the relevant section, or click the about tab to find out more.

# data[].attributes.attachment_link.description
👋🏼 I'm Mr Bicen, and I've been teaching maths for 10 years now. My channel features Edexcel A-Level Maths & Further Maths lessons recorded live 🎬, helping you to achieve that real teaching experience 🎓📝 A HUGE thank you to DrFrostMaths for the amazing lesson slides I have adapted.

# data[].attributes.attachment_link.readable_text
Maths E.G. is delivered to you free of charge under a Creative Commons licence. You may use it as often as you like for any educational purpose. Each question in the database will generate thousands of examples, each with fully-worked solutions which you are invited to study. You can set up the fonts sizes and colours by clicking top-right of the screen. Most of the questions are at A-level standard, but some are at university level, so don't panic if some make no sense to you (yet)!

We have found that the most effective way of using this resource is to try the questions with pen in hand, calculator at the ready, friends by your side etc, but with a serious intent to get the question right! That way, if you do go wrong, you can compare your attempt with our solution and identify where you went wrong. Educationalists call this 'formative assessment'. It is possible you may still be stuck, or simply disagree with us! Try clicking the Related material button for useful links or, even better, ask your teacher. It is quite possible that a question is wrong, so if your teacher agrees you have found an error, ask him/her to please take a screen shot and send it to us (teachers - you should give a prize in this case e.g. a chocolate bar!).

We have added Google's translator facility to the questions. Whilst this is not perfect, it may help you if you are studying in another language, but we advise you not use it if you are studying in English. We do not take responsibility for any inaccuracies in translation.

Good luck!
Martin Greenhow, Abdul Rahman Kamavi and contributing undergraduate and postgraduate students at the Department of Mathematical Sciences, Brunel University, UK

# data[].attributes.attachment_link.description
Maths E.G. is delivered to you free of charge under a Creative Commons licence. You may use it as often as you like for any educational purpose. Each question in the database will generate thousands of examples, each with fully-worked solutions which you are invited to study.

# data[].attributes.attachment_link.description
This video series explores the 19 topics currently studied in A-level Maths. We aim to show students how the individual topics they are learning can be appli...

# data[].attributes.attachment_link.description
Welcome to www.mathshelper.co.uk, the 3,457,341st best mathematical website in the world. I hope you will find the content useful. I am absolutely rubbish at web design (no cookies to worry about here), but I have finally learnt a little PHP and a very little Python, so it can now generate the resources tailored to your specific needs.

# data[].attributes.attachment_link.description
Easy to find (calculate) Can always find the mode - even for qualitative data Not affected by extreme valuesAlways a data value in the set

# data[].attributes.attachment_link.readable_text
Free online courses from Imperial College London

Imperial College London is a community of problem-solvers dedicated to finding innovative solutions to the world's biggest challenges. Located in the heart of London, Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.

A science-based university with an international reputation for excellence in learning and research, Imperial furthers its commitment to improving education worldwide through its learning and teaching strategy.

Imperial College London MOOCs

Browse free online courses in a variety of subjects. Imperial College London courses found below can be audited free or students can choose to receive a verified certificate for a small fee. Select a course to learn more.

# data[].attributes.attachment_link.description
Imperial College London is a community of problem-solvers dedicated to finding innovative solutions to the world's biggest challenges. Located in the heart of London, Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.

# data[].attributes.attachment_link.description
Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

# data[].attributes.attachment_link.description
Get access to files anywhere through secure cloud storage and file backup for your photos, videos, files and more with Google Drive.

# data[].attributes.attachment_link.readable_text
On the Casio website, you will find quick guides for Casio Calculators including the ClassWiz.

For the complete manual from Casio see this page, note the calculator is listed under fx-570EX / fx-911EX on the Casio manuals page.

From The Calculator Guide on YouTube see this playlist on the Casio Classwiz fx-991EX. For example see this introductory video on using Statistics mode to find the mean, variance and other statistical summary data.

For entering data from a frequency table:

For more features…

Other examples include further statistical videos such as Normal Distribution calculations, further Normal Distribution examples, integration and differential calculations and using Complex mode.

See also this playlist from Casio on the Classwiz FX 991EX.

Correlation & Regression

# data[].attributes.attachment_link.readable_text
Explains all the keys and modes of the Casio FX991EX-ClassWiz. Covers integration, differentiation, summations, changing bases, solving polynomials, solving quadratics, solving simultaneous equations, matrix operations, vector operations, spreadsheet mode, statistical functions, distribution calculations and complex number operations.

# data[].attributes.attachment_link.description
Explains all the keys and modes of the Casio FX991EX-ClassWiz. Covers integration, differentiation, summations, changing bases, solving polynomials, solving quadratics, solving simultaneous equations, matrix operations, vector operations, spreadsheet mode, statistical functions, distribution calculations and complex number operations.

# data[].attributes.attachment_link.description
A home for curious mathematical minds. For ages 10-16 anywhere in the world. 100% free. Live interactive Maths Circles and puzzle sheets every week.

# data[].attributes.attachment_link.description
If your school has any qualifiers for the Cayley, Hamilton or Maclaurin Olympiads or for the Grey or Pink Kangaroos, but they are unable to take part on Thursday 16th March because of strike action, they can take the competition on Friday 17th March. Please note: Paper Answer Sheets must still be u…

# data[].attributes.attachment_link.readable_text
search

Enriching mathematics for all learners

A free-to-use collection of mathematics activities, lessons and problems designed to nurture curious, resourceful and confident learners of mathematics. Produced by The University of Cambridge.

# data[].attributes.attachment_link.description
The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

# data[].attributes.attachment_link.description
The Advanced Mathematics Support Programme is a government-funded initiative. It is led and delivered by MEI, with Tribal as a key partner.

# data[].attributes.attachment_link.readable_text
Free online courses from Imperial College London

Imperial College London is a community of problem-solvers dedicated to finding innovative solutions to the world's biggest challenges. Located in the heart of London, Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.

A science-based university with an international reputation for excellence in learning and research, Imperial furthers its commitment to improving education worldwide through its learning and teaching strategy.

Imperial College London MOOCs

Browse free online courses in a variety of subjects. Imperial College London courses found below can be audited free or students can choose to receive a verified certificate for a small fee. Select a course to learn more.

# data[].attributes.attachment_link.description
Imperial College London is a community of problem-solvers dedicated to finding innovative solutions to the world's biggest challenges. Located in the heart of London, Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.

# data[].attributes.attachment_link.description
We offer a wealth of free classroom-ready resources that promote mathematical thinking and support teaching.

# data[].attributes.attachment_link.description
Brilliant - Build quantitative skills in math, science, and computer science with hands-on, interactive lessons.

# data[].attributes.attachment_link.description
Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.

# data[].attributes.attachment_link.description
Videos about numbers and mathematics. Videos by Brady Haran since 2011. Our thanks to Jane Street. Thanks also to SLMath, the Simons Foundation, and our Patreon supporters.

# data[].attributes.attachment_link.description
Interesting Engineering is a cutting edge, leading community designed for all lovers of engineering, technology and science.

# data[].attributes.attachment_link.description
Maths Careers provides a range of resources, information and signposting to help those working in mathematics.

# data[].attributes.attachment_link.description
Ritangle is a competition designed for teams of students aged 16‌-‌18 who are currently studying either: A level Mathematics the International Baccalaureate Scottish Highers qualifications with equivalent content. No knowledge of maths beyond A level Mathematics is required. Students who take part are so engaged and excited by it, every year.

# data[].attributes.attachment_link.description
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

# data[].attributes.attachment_link.provider_name
The Calculator Guide : Mathematics Help - Casio Skills - Education Technology

# data[].attributes.attachment_link.title
Classwiz Guide - The Calculator Guide : Mathematics Help - Casio Skills - Education Technology

# data[].attributes.attachment_link.description
About the Casio Classwiz Casio ClassWiz - Next Generation Scientific Calculator - Review Unboxing Casio Classwiz fx-991 (UK Branding Edition) What Are The

# data[].attributes.headline
Step support modules with questions and solutions

# data[].attributes.subject
Step support modules with questions and solutions

# data[].attributes.attachment_link.title
STEP Support Foundation modules | STEP Support Programme

# data[].attributes.attachment_link.description
This module involves some algebraic manipulation and some work on quadratic equations. There is also a geometry question with a surprising result.

# data[].attributes.attachment_link.title
Mathematics Mock Interview, University of Cambridge

# data[].attributes.attachment_link.title
Exam Mode for the Casio FX CG50 Calculator

# data[].attributes.headline
CASIO Japan - Calculator Walkthrough Playlist

# data[].attributes.subject
CASIO Japan - Calculator Walkthrough Playlist

# data[].attributes.attachment_link.title
CASIO Graphic Display Calculator　－Basic operations　1.Basic functions

# data[].attributes.attachment_link.title
Calculator Tips & Tricks for A-Level Maths/Further Maths ➕➖➗✖️ [fx-CG50 Graphics, fx-991EX Classwiz]