Mastering M4: CCEA GCSE Maths Revision details

Bridging the Gap: GCSE to AS-Level Mathematics Transition Course

😟 Worried You're Starting AS-Level Maths Already Behind?

You're moving into AS-Level Maths — and suddenly realise that many of your classmates studied GCSE Further Maths… but you didn’t.
They’ve seen topics you’ve never touched.

You’re not just starting a new course.
You’re starting at a disadvantage.

 

😰 You’re Not Alone — But This Feeling Can’t Be Ignored

Without GCSE Further Maths, you might already be feeling:

  • ❓ Confused by terms your classmates already know
  • 📉 Behind before the lessons have even begun
  • 😩 Anxious about falling further behind in class discussions and homework
  • 🧱 Blocked by missing foundations in algebra, calculus, or mechanics

None of this is your fault. But without the right support, it can quickly affect your grades and your confidence.

 

✅ The Solution: Bridging the Gap – GCSE to AS-Level Maths Transition Course

This course is specifically built for students like you — who did NOT study GCSE Further Maths but want to hit the ground running in AS-Level Maths.

It’s your shortcut to levelling the playing field.

 

What You’ll Get:

📘 A Complete Bridging Booklet
Covers all essential Further Maths topics you should have seen before starting AS-Level Maths.

🎥 Step-by-Step Video Tutorials
Pre-recorded, expert-led walkthroughs to help you fill in the booklet and truly understand each concept.

📝 Interactive Notes
Not passive reading — you're actively working as you learn.

🧠 Topic-by-Topic Practice Questions
Reinforce your understanding and test your progress as you go.

Worked Solutions Booklet
Check every answer with clear, fully explained solutions.

 

Instant Access
Download and begin immediately after purchase — no delays, no waiting.

📅 Flexible, Self-Paced Learning
Work at your own pace, on your own schedule, with no pressure.

 

📚 Topics Covered Include:

🔢 Pure Maths

  • Algebra (Triples, Factorising, Quadratics, Algebraic Fractions)
  • Differentiation & Integration
  • Trigonometry & Inequalities
  • Logarithms

⚙️ Applied Maths (Mechanics & Stats)

  • Kinematics, Newton's Laws, Vectors
  • Mean & Standard Deviation
    …and more — everything needed for a strong AS-Level foundation.

 

🧑‍🏫 Why This Course Works

✔️ Created by a Qualified A-Level Maths Teacher
Knows exactly where students struggle — and how to fix it.

✔️ Focused on the Gaps
Targets the exact topics you missed by not taking Further Maths.

✔️ Builds Confidence and Closes the Gap Fast
You won’t just catch up — you’ll feel ahead.

 

🗣️ What Our Students Say:

"Having not done GCSE Further Maths, I was honestly worried about starting AS-Level Maths, especially since it felt like everyone else already knew topics and I didn't! This course helped me so much. I would ask my teacher what topic we’d be covering next in class, then watch the videos on that topic before we started it. It made a massive difference, meaning I wasn’t confused by new terms or feeling behind. The explanations and video tutorials gave me the confidence to take part in class and do my homework without feeling lost. It really turned what could have been a stressful start into something I felt ready for, and I genuinely think it gave me a fair chance to do well in AS Maths."

-Katie, Year 13, Ballyclare

 

"I watched the videos and completed the notes and questions in August and early September as I wanted to get a head start, but I also relied on the course for revision for quite a few topics on AS1 and AS2 exams. I found myself going back over the videos again and again because so many topics in AS Maths are basically the same as what’s on GCSE Further Maths, which I hadn’t covered. The course made it so much easier to understand everything properly and get ready for my exams. If you’re feeling behind because you didn’t do Further Maths, I’d definitely recommend it." 

-Graham, Portadown

 

🎓 You Deserve a Fair Start

Don’t begin your AS-Level journey feeling behind or overwhelmed.
Bridge the gap now, and step into class with confidence, clarity, and the tools to thrive.

🎯 Click below to access the full course and get started today.
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📩 Have questions? Email us at: This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Prepare for AS-Level Maths with our Bridging the Gap course, specifically designed for students who did not study GCSE Further Maths. This course bridges the gap between GCSE Maths and AS-Level Maths, ensuring you start on a level playing field. Our comprehensive course offers:

  • A GCSE to AS-Level Maths Bridging Course booklet covering all essential topics from GCSE Further Maths that are relevant for AS-Level Maths.
  • Detailed examples with space for students to fill in solutions, facilitated by pre-recorded video tutorials.
  • Questions throughout the workbook on each topic to test understanding.
  • A separate downloadable resource with worked solutions to all workbook questions.
  • Instant access to all materials upon purchase. Once you have purchased your course click 'Return to seller' and your purchase should be there for you to download to your device. Please download and save to your device at that stage.

Our course is perfect for students who want to ensure a smooth transition from GCSE to AS-Level Maths, covering all the fundamental topics necessary for success.

Key Benefits

  • Comprehensive Coverage: Bridging course booklet covers essential GCSE Further Maths topics needed for AS-Level Maths.
  • Interactive Learning: Fill-in-the-blank notes booklet and guided video tutorials enhance understanding.

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  • Test Understanding: Workbook includes questions on each topic to test your knowledge.
  • Worked Solutions: Separate resource provides detailed solutions to all workbook questions.

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  • Instant Access: Get immediate access to all materials upon purchase. Once you have purchased your course click 'Return to seller' and your purchase should be there for you to download to your device. Please download and save to your device at that stage.
  • Flexible Study: Learn at your own pace with pre-recorded tutorials.

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Call to Action

Ready to bridge the gap and excel in AS-Level Maths? Purchase our Bridging the Gap course today and start your journey to academic success!

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More Detail

Topics Covered

Pure Mathematics

Topic 1: Algebra
- Multiplying Triple Brackets
- Factorising
- Algebraic Fractions
- Solving Quadratics
- Simultaneous Equations
- Completing the Square

Topic 2: Differentiation
- Gradient of a Curve
- Second Derivative, Stationary Points, and Sketching
- Tangents and Normals
- Maximum and Minimum Problems

 Topic 3: Integration
- Indefinite Integration
- Definite Integration
- Using Integration to Find an Area

Topic 4: Linear and Quadratic Inequalities
- Solving Linear Inequalities
- Solving Quadratic Inequalities

 Topic 5: Trigonometry
- CAST Diagrams and Solving Trig Equations
- Quadratic Trig Equations
- Adjusting the Range

 Topic 6: Logarithms
- Laws of Logs
- Writing Logs in Terms of Other Numbers
- Solving Index Equations

 Applied Mathematics (Mechanics and Statistics)
 Topic 7: Kinematics
- Velocity-Time Graphs
- Two Body Problems
- Constant Acceleration Formulae
- Motion Under Gravity

 Topic 8: Newton’s Laws of Motion
- Resolving Forces
- Inclined Planes
- Friction and Limiting Equilibrium
- Connected Particles

 Topic 9: Resultant of Forces and Equilibrium
- Resultants
- Equilibrium of Forces

 Topic 10: Vectors
- Magnitude and direction of a Vector
- Vectors in Mechanics

 Topic 11: Mean and Standard Deviation
- Types of Data and Grouping Data
- Mean and Standard Deviation from a Frequency Distribution
- Combining and Scaling Sets of Data

 How It Works

Video Tutorials: Each topic is delivered through engaging video tutorials. You can watch these at your own pace, allowing you to learn in a way that suits you best. The tutorials are designed to help you fill in the GCSE to AS-Level Workbook provided as part of the course materials.

Practice Questions: To reinforce your learning, the course includes a series of questions related to each topic. These questions are designed to test your understanding and ensure you are fully prepared for AS-level Maths.

 Why Choose Us?

- Expert Instruction: Learn from a seasoned Mathematics teacher with years of experience in guiding students through their A-level journey.
- Flexible Learning: Access the video tutorials and materials at any time, allowing you to learn at your own pace.

 Ready to Get Started?

Ensure you're fully prepared to excel in AS-level Mathematics. Enrol now and take the first step towards a successful academic future!

For more information, please contact us at This email address is being protected from spambots. You need JavaScript enabled to view it. .

Don't miss out on this opportunity to bridge the gap and achieve your full potential in A-level Maths.

 Click the link below to Purchase now!

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A-Level Further Maths Free Resources

Whether you are teaching A-level Further Maths for the first time, just wanting some extra questions for your class or a student studying A-level Further Maths, I hope you find something useful here. If you click on the link the file should automatically download or you can right click and then open in a new tab.

 

I have a complete set of notes and question booklets for the two Pure Maths modules ( AS1 and A21) and also the notes and questions booklets broken up in to individual topics, along with teachers copies for each. There are also links to the YouTube video playlist for AS1 Further Maths and A21 Further Maths where I go through the teachers notes.

 

 


Complete AS1 notes and Question Booklet

Download AS1 Pupils Notes pdf

Download AS1 Question Booklet pdf

Further Maths AS1 video playlist

Further Maths AS1 notes videos playlist

 

 

AS1 by Topic


AS1 Matrices

Download Matrices Teachers Notes pdf

Download Matrices Pupils Notes pdf

Download Matrices Question Booklet pdf

 

AS1 Roots of Polynomials

Download Roots of Polynomials Teachers Notes pdf

Download Roots of Polynomials Pupils Notes pdf

Download Roots of Polynomials Question Booklet


AS1 Vectors

Download Vectors Teachers notes pdf

Download Vectors Pupils notes pdf

Download Vectors Question Booklet pdf


AS1 Complex Numbers

Download Complex 1 Teachers Notes pdf

Download Complex 1 Pupils Notes pdf

Download Complex 1 Question Booklet pdf


Complete set of A21 notes and Question Booklet

Download A21 Pupils Notes pdf

Download A21 Question Booklet pdf

Further Maths A21 Notes Videos Playlist

Further Maths A21 Notes Videos Playlist

 



A21 by Topic

A21 Complex Numbers

Download Complex 2 Teachers notes pdf

Download Complex 2 Pupils notes pdf

Download Complex 2 Question Booklet pdf

 

A21 Partial Fractions

Download Partial Fractions Teachers notes pdf

Download Partial Fractions Pupils notes pdf

Download Partial Fractions Question Booklet pdf

 

A21 Summation of Series

Download Summation of Series Teachers notes pdf

Download Summation of Series Pupils notes pdf

Download Summation of Series Question Booklet pdf

 

A21 Induction

Download Induction Teachers notes pdf

Download Induction Pupils notes pdf

Download Induction Question Booklet pdf

 

A21 Maclaurin’s

Download Maclaurins Teachers notes pdf

Download Maclaurins  Pupils notes pdf

Download Maclaurin’s Question Booklet pdf

 

A21 Improper Integral

Download Improper Integral Teachers notes pdf

Download Improper Integral Pupils notes pdf

Download Improper Integrals Question Booklet pdf


A21 Differentiation and Integration of Inverse Trig

Download Differentiation and Integration Inverse Trig Teachers notes pdf

Download Differentiation and Integration Inverse Trig Pupils notes pdf

Download Differentiation and Integration Inverse Trig Question Booklet pdf

 

A21 Reduction Formula

Download Reduction Formula Teachers notes pdf

Download Reduction Formula Pupils notes pdf

Download Reduction Formula Question Booklet pdf

 

A21 Hyperbolic Functions

Download Hyperbolic Function Teachers notes pdf

Download Hyperbolic Functions Pupils notes pdf

Download Hyperbolic Functions Question Booklet pdf

 

A21 Differential Equations

Download Differential Equations Teachers notes pdf

Download Differential Equations Pupils notes pdf

Download Differential Equations Question Booklet pdf

 

A21 Polar Coordinates

Download Polar Coordinates Teachers notes pdf

Download Polar Coordinates Pupils notes pdf

Download Polar Coordinates Question Booklet pdf

 

 

 

How To Revise

🎯 Smart Maths Revision: A Guide for Students

Whether you're studying GCSE, AS, A-Level, or Further Maths, this guide is here to help you revise effectively — so you feel confident, prepared, and less stressed heading into your exams.

🕒 When Should You Revise?

There are two important times to focus on revision:

1. Right After Each Lesson

The best revision starts immediately after a topic is taught. This helps you lock in new concepts before they fade. Go back over the lesson, finish any worksheets or examples, and make sure everything makes sense while it’s still fresh.

It might feel like extra effort now, but it makes later revision and exam prep far easier. This is a common strategy used (quietly!) by top-performing students.

2. Past Papers – But Not Too Early

Past papers are useful, but only if you understand the material first. If you jump into full past papers too soon, it can be frustrating and even knock your confidence.

Use full exam papers once you’ve covered a full section of the course. This helps make sure you’re testing what you’ve learned — not just guessing or doing the questions you already know.

📌 What Should You Revise?

It’s tempting to just go over your weakest topics, but focusing only on those can be overwhelming. Instead, target areas where:

  • You're struggling and
  • You're "okay" — because turning an OK topic into a strength can boost your grade quickly.

Here's a quick method:

  1. Try a past paper — stop as soon as you get stuck or make a mistake.
  2. Identify the topic causing the issue — then stop working on the paper and focus fully on that topic.
  3. Avoid giant revision lists — they can feel endless and demotivating. Instead, fix one weak point at a time.

🧠 How to Revise Effectively

Once you've found what to work on, here’s how to actually learn it — not just memorise patterns.

1. Learn Your Notes Thoroughly

Before anything else, you need a deep understanding of the content. Many students feel confident just because they’ve done lots of past paper questions — but in the real exam, a slight change in how a question is asked can throw you off completely.

Don’t rely on pattern recognition alone. You need to fully understand:

  • Why each method works
  • When to use it
  • What each formula or process actually means

This kind of understanding gives you real confidence in exams — no matter how the question is worded.

2. Use Video Tutorials to Fill Gaps

If you're unsure about any part of your notes, look it up on YouTube or your course platform. Pause the video, try the questions yourself, and write down anything useful. Re-watch if needed.

➡️ Our GCSE & A-Level Revision Courses include downloadable notes booklets, with clear video links for every topic — perfect for reviewing anything you missed or didn’t fully grasp the first time.
👉 Revision Courses Main Menu

3. Textbook Practice

Textbooks still matter! Go through worked examples and then tackle the matching exercises. If you start finding these too easy or repetitive, that’s your cue to move on to exam-style questions.

4. Exam Questions by Topic

Now, practice past paper questions based only on the topic you're working on. This helps you apply your knowledge in different ways and gets you used to exam-style wording. Check your school’s Google Classroom or revision websites for topic-based question packs.

✅ Final Tips for Success

To give yourself the best chance of doing well:

  • Start revising early — especially right after each lesson
  • Understand the concepts — don’t just memorise answers
  • Practice regularly — repetition builds confidence and speed
  • Don’t leave it all to the last minute — short, consistent sessions beat cramming every time

Success in Maths = Understanding + Practice + Consistency

Stay patient with yourself. Maths rewards effort and regular revision. With the right strategies, you’ll go into your exams with the confidence you need.

Want support with your revision?
Check out our CCEA-focused revision courses for GCSE & A-Level Maths — complete with notes, video walkthroughs, and topic-specific practice questions.
👉  Revision Courses Main Menu

 

Revision Videos

Your Guide to Revision Videos

Dive into Key Stage 3 (KS3) Mathematics, GCSE Mathematics, GCSE Further Mathematics, and A-Level Mathematics with our helpful revision videos.

🌐 **KS3 Mathematics: Building the Basics**
Not just for KS3, these resources are your go-to for diving into the challenges of GCSE Mathematics. Build a strong foundation for higher levels as these videos seamlessly transition and reinforce key skills.

Key Skills Revision Videos

🚀 **GCSE Mathematics: Master the Essentials**
Conquer GCSE exams with our user-friendly revision videos. These videos not only target GCSE but also complement KS3 Mathematics, making your learning experience smooth and comprehensive.

GCSE Revision Videos

🔍 **GCSE Further Mathematics: Dive Deeper**
Ready for an extra challenge? Our GCSE Further Mathematics revision videos are here to guide you. And the best part? They seamlessly extend into A-Level Mathematics, bridging the gap and preparing you for the next academic level.

GCSE FURTHER MATHS Revision Videos

🎓 **A-Level Mathematics: Reach New Heights**
Designed for students studying AS-Level A-Level students or anyone with a keen interest in Mathematics.

A-Level Revision Videos

 

Past Papers

Ace Your Maths Exams: Dive into Video Solutions!

AQA GCSE MATHS and FURTHER MATHS PAST PAPERS:

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CCEA GCSE MATHS PAST PAPERS:  

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CCEA GCSE FURTHER MATHS PAST PAPERS: 

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CCEA AS-LEVEL MATHS PAST PAPERS:

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CCEA A-LEVEL MATHS PAST PAPERS:

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Conquer CCEA and AQA Maths exams with our video solutions!

🚀 **Why Video Solutions?**
Our videos break down complex problems step-by-step, helping you visualize solutions, grasp key concepts, and boost your confidence.

📈 **Climb the Academic Ladder**
From mastering the basics in GCSE to tackling advanced challenges in A-levels, our videos cater to every academic level.

🎯 **Targeted Learning for Your Level**
Navigate to dedicated pages for CCEA GCSE Mathematics, Further Mathematics, AS-level, and A-level Mathematics. Tailored content ensures focused learning, addressing the unique needs of each academic stage.

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