Our GCSE and IGCSE Maths Tutors
Mathematics is not just a subject; it’s a gateway to understanding the world and a foundational skill for life. Yet, for many students, Maths can feel intimidating. Some struggle to grasp its concepts, while others yearn for greater challenges that their school curriculum doesn’t provide. Our highly skilled GCSE and IGCSE Maths tutors are here to transform these experiences. Whether your child needs to build confidence, master complex topics, or excel in advanced competitions like the UK Mathematics Challenge, our tutors unlock their potential. They bring Maths to life, making it accessible, stimulating, and enjoyable.
Our tutors are exceptional communicators who combine unparalleled knowledge with patience and enthusiasm. They inspire confidence, nurture curiosity, and ensure that each student feels empowered to succeed. From boosting grades to fostering a lifelong appreciation for Maths, their dedication is unmatched.
Why Choose Our GCSE Maths Tutors
Our tutors represent the pinnacle of expertise and professionalism. They include experienced educators from top independent schools, full-time professional tutors, and first-class Oxbridge graduates. United by their passion for teaching, they tailor every lesson to the unique needs of their students. By quickly identifying strengths and areas for improvement, they deliver bespoke tuition that drives measurable results.
At Hampstead and Frognal Tutors, we uphold the highest standards through a rigorous recruitment process. Each tutor undergoes multiple stages of assessment, including detailed applications, in-depth interviews, and Enhanced DBS certification. This meticulous approach ensures that only the best tutors join our team. Moreover, we support our tutors with ongoing professional development, ensuring their methods remain innovative and effective.
How our Tutors Teach Maths
Unlike traditional classroom settings, where teaching must cater to a group, our tutors focus solely on the individual. They understand that every student learns differently, progresses at their own pace, and encounters unique challenges. By creating a personalised learning plan, our tutors address specific difficulties—whether it’s quadratic equations, probability, or trigonometry—and turn them into strengths.
Our tutors also connect Maths to real-world applications, demonstrating its importance beyond exams. They show students how concepts like simultaneous equations and the Cosine rule play a role in problem-solving, critical thinking, and everyday decision-making. This approach not only prepares students for academic success but also equips them with valuable life skills.
For those unable to attend in-person sessions, we offer cutting-edge online tuition. Using platforms like Zoom and interactive shared whiteboards, we deliver the same high-quality experience to students anywhere in the world. Our GCSE and IGCSE revision courses, conducted in small groups of no more than six, have also proven to be highly effective. These courses provide intensive support, ensuring students approach their exams with confidence.
GCSE and IGCSE Maths Results
Our tutors are dedicated to achieving results that exceed expectations. Here are just a few highlights of our students’ success:
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100% of our GCSE students improved their academic performance and surpassed their predicted grades.
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95% of students achieved at least two grades higher than initially forecast.
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Students consistently report finding Maths easier and more enjoyable after participating in our tailored tuition programmes and revision courses.
Whether your child is aiming for top grades, needs a confidence boost, or wants to rediscover the joy of learning Maths, our tutors are here to help. At Hampstead and Frognal Tutors, we bring out the best in every student, turning challenges into opportunities and goals into achievements.
Testimonial
Matthew is a superb GCSE maths tutor. His manner is just right for my son; patient, understanding and highly motivating especially since maths doesn’t come easily for him. We were so impressed we asked Matthew to support our other children. My son went from a predicted grade 5 up to an 8. Very impressed.
Olga, London NW8
Exam Boards we Cover
GCSEs have changed a lot in the past few years. The government has made the exams more challenging, rigorous and wide-ranging.
As you probably are aware the GCSE grading system is defined by levels 1-9, where 9 is the highest mark stduents can achieve. Our tutors are well acquainted with the grading system and can answer any queries you or your child may have.
Our GCSE and IGCSE Maths tutors have prepared students for all exam boards, including OCR, AQA, and Edexcel. Key aspects of the different syllabi is set out below.
OCR GCSE Maths Overview
The OCR GCSE Mathematics (9-1) syllabus is structured to help students develop fluency in mathematical methods, competence in problem-solving, and the ability to reason mathematically. It focuses on building confidence in applying mathematics to real-world situations.
Candidates either sit the foundation level (papers 1, 2 & 3) or higher level papers (4, 5 & 6). Foundation level students can score grades 1-5. Candidates aiming for levels 6-9 and are confident of achieving at least a level 6 should sit the higher level papers (levels 4-9).
Assessment Structure (Higher Tier):
- Paper 4: Calculator (1 hour 30 minutes)
- Paper 5: Non-Calculator (1 hour 30 minutes)
- Paper 6: Calculator (1 hour 30 minutes)
1. Number
- Types of numbers: Integers, fractions, decimals, percentages, and ratios
- Rounding, estimation, and bounds
- Prime factorisation, LCM, and HCF
- Standard form and surds
- Operations with negative numbers
- Financial mathematics: Interest, profit/loss, and currency conversion
2. Algebra
- Simplifying expressions and collecting like terms
- Expanding brackets and factorising, including quadratics
- Solving linear and quadratic equations
- Rearranging formulas and solving simultaneous equations
- Inequalities: Solving and graphing
- Sequences: Arithmetic, geometric, and Fibonacci
- Functions and their notation
- Graphs: Linear, quadratic, cubic, reciprocal, and exponential
3. Ratio, Proportion, and Rates of Change
- Simplifying ratios and sharing in a given ratio
- Direct and inverse proportion
- Solving problems involving percentages, growth, and decay
- Gradients, tangents, and rates of change from graphs
- Compound measures: Speed, density, and pressure
4. Geometry and Measures
- Properties of angles, triangles, and polygons
- Constructions, loci, and scale drawings
- Transformations: Translations, rotations, reflections, and enlargements
- Perimeter, area, and volume (including composite shapes and frustums)
- Circle theorems and circle properties
- Pythagoras’ theorem and trigonometry (sine, cosine, tangent)
- Vectors and vector geometry
5. Probability
- Basic probability rules
- Experimental probability and relative frequency
- Tree diagrams, Venn diagrams, and two-way tables
- Independent and dependent events
6. Statistics
- Collecting, presenting, and interpreting data
- Measures of central tendency: Mean, median, mode, and range
- Cumulative frequency, box plots, and histograms
- Scatter graphs and correlation
By systematically revising these topics and honing exam techniques, students will be well-prepared to excel in the OCR GCSE Mathematics (9-1) exams.
AQA GCSE Maths 8300 Overview
The AQA GCSE Mathematics (8300) syllabus is designed to develop students’ mathematical reasoning, fluency, and problem-solving skills. It covers a range of mathematical concepts and ensures students are equipped to apply their knowledge in real-life contexts. The mathematical demand of the questions increases as students progress through the paper. Each exam counts for a third of a student’s overall mark.
Candidates either sit the foundation level or higher level papers
Assessment Structure:
- Paper 1: Non-Calculator (1 hour 30 minutes)
- Paper 2: Calculator (1 hour 30 minutes)
- Paper 3: Calculator (1 hour 30 minutes)
1. Number
- Types of numbers: Integers, fractions, decimals, and percentages
- Factors, multiples, primes, LCM, and HCF
- Rounding, estimation, and bounds
- Standard form (scientific notation)
- Surds (Higher Tier)
- Operations with fractions, decimals, and percentages
- Ratio and proportion problems
- Financial mathematics: Simple and compound interest
2. Algebra
- Simplifying and manipulating algebraic expressions
- Solving linear and quadratic equations
- Rearranging formulas
- Simultaneous equations (linear and linear/quadratic)
- Inequalities: Solving and graphing
- Sequences: Arithmetic, geometric, and Fibonacci
- Functions and function notation (Higher Tier)
- Graphs: Linear, quadratic, cubic, reciprocal, and exponential
3. Ratio, Proportion, and Rates of Change
- Simplifying ratios and sharing quantities in a given ratio
- Direct and inverse proportion (algebraic and graphical)
- Percentage change, growth, and decay
- Compound measures: Speed, density, and pressure
- Gradients and rates of change from graphs
4. Geometry and Measures
- Properties of angles, triangles, and polygons
- Constructions and loci
- Transformations: Translations, rotations, reflections, and enlargements
- Symmetry: Line and rotational
- Perimeter, area, and volume (including composite shapes and frustums)
- Circle theorems (Higher Tier)
- Pythagoras’ theorem and trigonometry (sine, cosine, tangent)
- Sectors, arcs, and radians (Higher Tier)
- Vectors and vector geometry (Higher Tier)
5. Probability
- Basic probability rules and calculations
- Experimental probability and relative frequency
- Tree diagrams and independent/dependent events
- Venn diagrams and two-way tables
6. Statistics
- Collecting, representing, and interpreting data
- Measures of central tendency: Mean, median, mode, and range
- Cumulative frequency, box plots, and histograms
- Scatter graphs and correlation
Edexcel GCSE Maths (1MA1) Overview
The Edexcel GCSE Mathematics syllabus focuses on developing fluency in mathematical techniques, reasoning mathematically, and problem-solving skills. The course encourages students to apply their knowledge in real-world and abstract mathematical contexts.
Assessment Structure:
Students take three written exams each worth 80 marks, and lasting 1 hour 30 minutes:
- Paper 1: Non-Calculator (1 hour 30 minutes)
- Paper 2: Calculator (1 hour 30 minutes)
- Paper 3: Calculator (1 hour 30 minutes)
All three papers cover the full syllabus, and the course is divided into two tiers:
- Foundation Tier: Grades 1–5
- Higher Tier: Grades 4–9
Edexcel GCSE Mathematics Topics for Revision
1. Number
- Types of numbers: Integers, fractions, decimals, percentages
- Factors, multiples, primes, LCM, and HCF
- Powers, roots, and indices (including fractional and negative powers in Higher Tier)
- Standard form and scientific notation
- Surds (Higher Tier)
- Rounding, significant figures, and estimation
- Financial mathematics: Simple and compound interest, percentage changes, profit/loss
2. Algebra
- Simplifying expressions and collecting like terms
- Expanding brackets and factorizing (including quadratic expressions)
- Solving linear and quadratic equations
- Rearranging formulas
- Simultaneous equations (linear and linear/quadratic for Higher Tier)
- Inequalities: Solving and graphing
- Sequences: Arithmetic, geometric, and special sequences (e.g., Fibonacci)
- Functions and function notation (Higher Tier)
- Graphs: Linear, quadratic, cubic, reciprocal, and exponential
3. Ratio, Proportion, and Rates of Change
- Simplifying ratios and sharing quantities in a given ratio
- Direct and inverse proportion (algebraic and graphical representations)
- Percentage change, growth, and decay
- Gradients and rates of change from graphs
- Compound measures: Speed, density, and pressure
4. Geometry and Measures
- Properties of angles, triangles, quadrilaterals, and polygons
- Perimeter, area, and volume (including composite shapes and frustums)
- Transformations: Translations, rotations, reflections, and enlargements
- Circle theorems and properties (Higher Tier)
- Constructions and loci
- Symmetry: Line and rotational
- Pythagoras’ theorem and trigonometry (sine, cosine, tangent)
- Sectors, arcs, and radians (Higher Tier)
- Vectors and their applications (Higher Tier)
5. Statistics
- Data collection, sampling, and representation
- Measures of central tendency: Mean, median, mode, and range
- Interpreting and drawing bar charts, pie charts, and line graphs
- Cumulative frequency, box plots, and histograms
- Scatter graphs, correlation, and lines of best fit
6. Probability
- Probability scales and basic rules
- Experimental probability and relative frequency
- Tree diagrams (independent and dependent events)
- Venn diagrams, sets, and two-way tables
Revision Tips for Students
- Practice Past Papers: Use past papers to familiarise yourself with exam formats and question styles.
- Target Weak Areas: Spend extra time revising topics you find challenging.
- Focus on Key Topics: Revise Algebra, Ratios and Geometry that yield more marks.
- Formula Knowledge: Memorise key formulas that aren’t provided in the exam, such as those for area, volume, and trigonometry.
- Focus on Problem-Solving: Tackle multi-step problems to build confidence in applying mathematical reasoning.
- Regular Timed Practice: Allocate time for regular practice with exam-style questions, especially under timed conditions.
- Check Your Work: Get into the habit of reviewing answers, especially in calculator papers.
By systematically revising these topics and honing exam techniques, students will be well-prepared to excel in whatever syllabus they are taking for GCSE Mathematics (9-1) exams.
Is tuition right for your child?
GCSEs are likely to be the first major set of examinations your child will sit. Nerves are inevitable. However, private tuition can do wonders for a teenager’s self-confidence, understanding and, ultimately, exam performance.
If Maths is a source of worry for your child, a GCSE Maths tutor could be the answer. We believe positivity and self-belief are two important elements of success, and our tutors nurture these qualities in their students. They are committed to demystifying Maths, and showing that every pupil can succeed. If your child is stuck on a particular topic, private tuition is also a valuable resource. Two or three focussed tuition sessions can untangle the knottiest of Maths problems.
Our outstanding maths tutors are keen for their students to excel. Whether your child loves numbers and is striving for a 9, or is anxious for extra support, our GCSE Maths tutors will help them to flourish.
