Learning Treasure

Struggling with Speed-Time Graphs and Ratios? Master GCSE Maths Today!
Don't let complex coordinate graphs and multi-step ratio problems slow down your exam preparation. This exact question tests fundamental calculus and geometry concepts—finding the area under a curve to calculate total distance covered. If you or your teenager find it challenging to break down these shapes into manageable triangles and rectangles, we are here to help.

This question is an excellent example of the type of Grade 8–9 questions students may encounter in their GCSE Maths exam.

Although it looks intimidating at first, it actually combines several topics that students need to master:

✅ Angles in circles
✅ Forming and solving quadratic equations
✅ Mathematical reasoning and proof
✅ Multi-step problem solving

🎥 I've created a step-by-step video solution showing exactly how to approach this question, explain the reasoning behind every step, and present a full-mark exam solution.

Many students lose marks on questions like this—not because they don't know the maths, but because they don't know where to start.

At Learning Treasure, I teach students a structured approach that helps them:
✔ Break complex problems into simple steps
✔ Build confidence with challenging questions
✔ Improve exam technique
✔ Maximise marks in GCSE Maths

I've helped many students achieve Grade 8 and Grade 9, and my aim is to help every student reach their full potential through clear explanations, targeted practice, and proven exam strategies.

🎥 Watch the video and see how this seemingly difficult question becomes much easier when you follow the right method.

📩 If your child is preparing for GCSE Maths and would benefit from expert guidance, message me to arrange a FREE assessment. I'll identify their current level, highlight any knowledge gaps, and create a personalised plan to help them achieve their target grade.

Can your child confidently solve this GCSE Maths question?
At first glance, it looks complicated...
But once you know the right approach, it's simply a combination of:
✅ Exact trigonometric values
✅ Surds
✅ Simplifying expressions
✅ Indices
These are the types of questions that often appear towards the end of GCSE Maths papers and are designed to challenge the highest-achieving students.
🎥 I've created a step-by-step video solution explaining how to solve this question in a simple and logical way. Rather than memorising methods, I show students how to think through each step so they can confidently tackle similar questions in the exam.
At Learning Treasure, I help students:
✔ Build strong mathematical foundations
✔ Master exam techniques
✔ Break down challenging questions into manageable steps
✔ Gain the confidence needed to achieve Grade 8 and Grade 9
Many students don't struggle because they lack ability—they struggle because they haven't been taught a structured problem-solving approach.
📩 Watch the video and let me know if you found it helpful.
If your child is preparing for GCSE Maths and would benefit from expert guidance, get in touch to arrange a FREE assessment, where I'll identify their strengths, highlight areas for improvement, and create a personalised plan to help them reach their target grade.

Can your child solve this multi-step geometry problem?
At first glance, this question looks complicated, but it actually combines several GCSE Maths skills into one exam-style problem:
✅ Pythagoras' Theorem
✅ Similar Triangles
✅ Ratio and Proportion
✅ Area of a Trapezium
✅ Problem Solving
Many students know these topics individually, but struggle when they need to connect them together in a single question.
In this worked solution, the student:
🔹 Uses Pythagoras to find missing lengths
🔹 Applies ratio relationships correctly
🔹 Determines the dimensions of the larger triangle
🔹 Calculates the area of the shaded quadrilateral BCDE
🎯 This is exactly the type of question that appears on Higher Tier GCSE papers and helps distinguish Grade 8–9 students.
I've also created a full video walkthrough showing every step of the solution and explaining the thought process needed to tackle questions like this confidently.
At Learning Treasure, I help students develop the skills needed to:
✔ Break down challenging problems
✔ Link multiple topics together
✔ Improve exam technique
✔ Build confidence for GCSE exams
Many students don't lose marks because they can't do the maths—they lose marks because they don't know where to start. A structured approach makes all the difference.
🎥 Watch the video solution and see how this question can be solved step by step.
📩 If your child is aiming for Grade 8–9 in GCSE Maths, feel free to get in touch.
🎁 Free GCSE Maths Assessment Available

At first glance, many students find this question intimidating because it involves:
✅ Decimals
✅ Fractions
✅ Indices
✅ Fractional powers
However, once you know the correct approach, it becomes much more manageable.
The key skills tested are:
🔹 Converting decimals to fractions
🔹 Simplifying expressions efficiently
🔹 Understanding fractional indices
🔹 Applying index laws confidently
In the worked solution, the student demonstrates a clear and structured method to arrive at the correct answer:
125/8

🎯 Questions like this often appear in higher-tier GCSE Maths papers and are excellent for developing the algebraic thinking needed for Grade 8–9 success.
I've also created a step-by-step video solution explaining exactly how to approach this type of problem and avoid common mistakes.
At Learning Treasure, I help students build confidence in tackling challenging GCSE Maths questions through structured teaching, exam technique, and targeted practice.
📩 Message me if your child would benefit from expert GCSE Maths support.
🎁 Free GCSE Maths Assessment Available


https://www.loom.com/share/7ff0ca2d21594c4e88b559c337523fe1

Many GCSE Maths students find multi-step geometry questions challenging because they combine several topics into one problem.
In this question, students need to:
✅ Recognise when to use the Cosine Rule
✅ Apply the formula correctly
✅ Simplify surds accurately
✅ Present a clear mathematical argument to prove the final answer
I've created a step-by-step video walkthrough showing exactly how to work out such type of problems and explain the reasoning behind every step.
🎥 Watch the video to see:
✔ How to identify the correct method quickly
✔ Common mistakes students make
✔ A clear exam-style solution
✔ Tips to maximise marks in GCSE Maths exams
At Learning Treasure, I help students develop the problem-solving and exam techniques needed to achieve Grade 8–9 in GCSE Maths.
Many students don't struggle because they lack ability—they struggle because they haven't been shown a structured approach to tackling challenging questions.
📩 If your child is preparing for GCSE Maths and would benefit from expert one-to-one support, feel free to get in touch.
🎁 Free GCSE Maths Assessment Available

This is a typical Grade 9 algebra question that requires students to combine several key skills:
✅ Expanding brackets
✅ Simplifying algebraic expressions
✅ Comparing coefficients
✅ Working confidently with indices
The difference between a Grade 6/7 student and a Grade 8/9 student is often not ability—it's having the right method and exam technique.
At Learning Treasure, I help students break down complex questions into simple, manageable steps so they can tackle even the most challenging GCSE Maths problems with confidence.
📩 Message me to find out how I help students achieve Grade 8–9 in GCSE Maths.