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GCSE · A-Level · Further Maths · Online Tutoring

Master Maths.
Derive your
potential.

Expert online Maths tutoring from a qualified, experienced teacher. Tailored 1:1 and small group sessions for GCSE, A-Level and Further Mathematics — focused on your topics, your exam board, and the results you deserve.

GCSE
Foundation & Higher
A-Level
Year 12 & 13
Further
Further Mathematics
100%
Online & Recorded
🎓
Qualified & Experienced Maths Teacher
GCSE, A-Level & Further Maths Specialist
Enhanced DBS Certified
All sessions recorded — safeguarding first
AQA · Edexcel · OCR exam board coverage

An expert teacher.
A genuine passion
for Maths.

With years of classroom experience teaching GCSE, A-Level, and Further Mathematics, I know exactly where students get stuck — and more importantly, how to help them break through.

I've worked with students across the full spectrum of ability: from those building their confidence at GCSE Foundation level, to high-fliers targeting top grades in Further Pure, Mechanics, and Statistics. Every student I've worked with has made meaningful progress — not just in marks, but in genuine mathematical understanding.

My approach is simple: I meet students where they are. Sessions are tailored to your specific needs, your exam board, and your learning style. No generic worksheets, no one-size-fits-all explanations. Every session is built around you.

Whether you're working through a tricky cluster of topics, building confidence before mocks, or pushing for that top grade — I've helped students in every one of those situations achieve results they're proud of.

Tailored Every TimeSessions adapt to your pace, your gaps, and your goals — not a fixed syllabus.
Exam-Board FocusedEvery topic is framed around AQA, Edexcel, or OCR mark schemes and question styles.
Significant ProgressStudents consistently report improved confidence, better exam technique, and higher grades.
All Abilities WelcomeFrom Foundation GCSE to Further Pure — I teach the full range with equal care and skill.
// Pricing

Simple, transparent pricing.

GCSE
1:1 Private Session
£80
per hour
  • Dedicated 1:1 attention
  • GCSE Foundation & Higher
  • Tailored to your weak topics
  • Session recording sent to you
  • Parent/guardian copy on request
A-Level & Further Maths
1:1 Private Session
£100
per hour
  • Dedicated 1:1 attention
  • A-Level & Further Maths
  • Exam board aligned throughout
  • Session recording sent to you
  • Parent/guardian copy on request
A-Level & Further Maths
Small Group Session
£50
per hour · max 6 students
  • Collaborative learning environment
  • A-Level & Further Maths
  • Shared exam strategies
  • Session recording sent to you
  • Best value for A-Level support

All sessions online. Block booking discounts available — ask at registration. Payment confirmed upon booking.

Every topic.
Every cluster.
Covered.

Browse all available tutoring topics by subject. Each cluster groups closely related content so you can target a whole area in one or two focused sessions.

🔢
Number & Arithmetic
GCSE
Fractions, decimals, percentages
Indices and surds
Standard form
Prime factorisation, HCF & LCM
Ratio and proportion
Bounds and error intervals
Reverse percentage & percentage change
🧮
Algebra
GCSE
Expanding & factorising expressions
Solving linear & quadratic equations
Completing the square
Simultaneous equations
Inequalities & number lines
Algebraic fractions
Nth term — linear & quadratic sequences
Iterative methods
📐
All Geometry & Measures
GCSE
Angles in parallel lines & polygons
Circle theorems (all 8 theorems)
Area & perimeter — all shapes
Volume & surface area
Pythagoras' theorem
Trigonometry — SOH CAH TOA
Sine rule & cosine rule
Transformations (translation, rotation, reflection, enlargement)
Vectors
Constructions & loci
📊
Statistics & Probability
GCSE
Mean, median, mode, range
Frequency tables & grouped data
Cumulative frequency & box plots
Histograms & frequency density
Scatter graphs & correlation
Tree diagrams & conditional probability
Venn diagrams
Sampling methods
📈
Graphs & Functions
GCSE
Straight line graphs — y = mx + c
Quadratic, cubic & reciprocal graphs
Exponential & trigonometric graphs
Equation of a circle
Graph transformations — f(x+a), af(x) etc.
Real-life graphs & rates of change
Distance-time & velocity-time graphs
🔄
Ratio, Proportion & Rates
GCSE
Direct & inverse proportion
Speed, distance, time
Density and pressure
Growth & decay (compound interest)
Proportionality — y ∝ xⁿ problems
Conversion between units
All Calculus — Differentiation
A-Level
Differentiation from first principles
Differentiating polynomials, trig, exponentials & logs
Chain rule, product rule, quotient rule
Implicit differentiation
Parametric differentiation
Second derivatives — concavity & inflection
Stationary points & curve sketching
Connected rates of change
Optimisation problems
All Calculus — Integration
A-Level
Indefinite & definite integrals
Integrating polynomials, trig, eˣ, 1/x
Integration by substitution
Integration by parts
Partial fractions then integrate
Trapezium rule (numerical integration)
Area under/between curves
Volumes of revolution
Differential equations — separating variables
📐
All Trigonometry
A-Level
Radians — arc length & sector area
Exact values — sin, cos, tan of key angles
Reciprocal trig — sec, cosec, cot
Pythagorean identities — all forms
Compound angle formulae
Double angle formulae
R sin(x + α) form — harmonic form
Solving trig equations over a given range
Inverse trig functions — arcsin, arccos, arctan
Small angle approximations
All Circles & Coordinate Geometry
A-Level
Equation of a circle — centre & radius form
Completing the square to find centre/radius
Tangent & normal to a circle
Chord, midpoint & perpendicular bisector
Circle intersecting a line — discriminant method
Two circles — overlap, distance between centres
Straight line geometry — gradient, midpoint, distance
Perpendicular lines & parallel conditions
📊
Algebra & Functions
A-Level
Factor & remainder theorem
Polynomial division
Partial fractions (including repeated factors)
Binomial expansion — (1+x)ⁿ for any n
Modulus function & modulus graphs
Composite & inverse functions
Domain, range & graph transformations
Proof by contradiction & disproof by counter-example
📉
Exponentials & Logarithms
A-Level
Laws of logarithms
Solving exponential equations using logs
Natural log ln x and eˣ
Exponential growth & decay models
Logarithmic graphs — log y vs log x, log y vs x
Using logs to linearise data
🎯
Sequences & Series
A-Level
Arithmetic sequences & series
Geometric sequences & series
Sum to infinity — convergence condition
Sigma notation
Recurrence relations
Binomial series expansion
🧲
All Mechanics (Applied)
A-Level
Kinematics — SUVAT equations
Displacement, velocity, acceleration graphs
Newton's 1st, 2nd & 3rd laws
Forces on connected particles — strings & pulleys
Friction — limiting equilibrium, μ
Resolving forces on inclined planes
Projectile motion
Moments & equilibrium
Calculus in kinematics — v = ds/dt, a = dv/dt
📈
All Statistics (Applied)
A-Level
Statistical sampling methods
Measures of location & spread
Box plots, histograms, cumulative frequency
Binomial distribution — B(n, p)
Normal distribution — N(μ, σ²)
Standardising — Z-scores
Hypothesis testing — one-tailed & two-tailed
Correlation & regression — PMCC, least squares
Statistical problem solving in context
➡️
Vectors
A-Level
2D and 3D vector notation
Addition, subtraction, scalar multiplication
Position vectors & displacement
Magnitude, unit vectors
Vector equations of lines
Collinearity & parallel vectors
Intersecting lines in 3D
📋
Parametric Equations
A-Level
Converting between parametric and Cartesian
Sketching parametric curves
Parametric differentiation — dy/dx
Tangents & normals to parametric curves
Parametric integration — area under curve
🔍
Numerical Methods
A-Level
Locating roots — change of sign method
Newton-Raphson method
Fixed-point iteration — convergence & divergence
Staircase & cobweb diagrams
Trapezium rule — error estimation

◆ Further Mathematics — all topics available for AQA, Edexcel & OCR exam boards

🔢
Further Pure — Complex Numbers
Further Pure
Cartesian form — a + bi
Argand diagram
Modulus-argument (polar) form
Multiplication & division in polar form
De Moivre's theorem
Roots of unity — nth roots
Loci in the complex plane — circles, half-lines, perpendicular bisectors
Complex roots of polynomials — conjugate pairs
Euler's form — e^(iθ)
Further Pure — Matrices
Further Pure
Matrix addition, subtraction, multiplication
Identity & zero matrices
Determinant of 2×2 and 3×3 matrices
Inverse of 2×2 and 3×3 matrices
Transformations represented by matrices
Composition of transformations
Invariant points & invariant lines
Eigenvalues & eigenvectors
Diagonalisation of matrices
Matrix equations — solving simultaneous equations
∫∫
Further Pure Calculus
Further Pure
Differentiating inverse trig — arcsin, arccos, arctan
Integration of inverse trig forms
Reduction formulae
Arc length — Cartesian & parametric
Surface area of revolution
Improper integrals
Mean value of a function
MacLaurin & Taylor series expansions
Polar coordinates — area of a sector, ½∫r² dθ
Sketching polar curves
〰️
Further Pure — Differential Equations
Further Pure
First-order ODEs — integrating factor method
Second-order ODEs — homogeneous
Second-order ODEs — non-homogeneous (particular integral)
Auxiliary equation — real, repeated, complex roots
Boundary conditions & initial value problems
Damping — overdamped, critically damped, underdamped
Simple harmonic motion (SHM) from ODEs
Coupled differential equations
All Conics — Ellipse, Hyperbola & Parabola
Further Pure
Ellipse — x²/a² + y²/b² = 1, parametric form
Tangent & normal to an ellipse
Eccentricity of an ellipse
Hyperbola — x²/a² − y²/b² = 1
Rectangular hyperbola — xy = c²
Asymptotes of a hyperbola
Parabola — y² = 4ax, parametric (at², 2at)
Focus-directrix property
Tangent & normal to a parabola/hyperbola
Locus problems on conics
➡️
Further Pure — Vectors & 3D Geometry
Further Pure
Vector (cross) product — a × b
Scalar (dot) product — a · b
Equation of a plane — scalar & vector form
Angle between two planes / a line and a plane
Distance from a point to a plane
Intersection of planes — lines of intersection
Skew lines — shortest distance
Volume of a parallelepiped — scalar triple product
Σ
Further Pure — Series & Proof
Further Pure
Proof by induction — series, divisibility, matrices
Σr, Σr², Σr³ — standard results
Method of differences
Sum of a series using standard results
Partial fractions in series
💥
All Collisions — Further Mechanics
Further Mechanics
Conservation of linear momentum
Newton's law of restitution — coefficient e
Direct collision between two spheres
Oblique collisions — resolving components
Collision with a smooth wall — oblique impact
Loss of kinetic energy in a collision
Successive collisions
Perfectly elastic vs inelastic collisions
🔄
Further Mechanics — Circular Motion
Further Mechanics
Angular velocity ω, period T
Centripetal acceleration — v²/r, rω²
Motion in a horizontal circle
Motion in a vertical circle — energy conservation
Condition for complete circular motion
Conical pendulum
Banking of roads & tracks
🌀
Further Mechanics — SHM & Strings
Further Mechanics
Simple harmonic motion — x = A cos(ωt + φ)
Velocity & acceleration in SHM
Period & amplitude
Spring / elastic string problems
Hooke's law — elastic potential energy
Motion of a particle on an elastic string
Energy conservation in SHM & elastic strings
Damped oscillations (qualitative & quantitative)
⚖️
Further Mechanics — Moments & Statics
Further Mechanics
Centre of mass — uniform laminas & composite shapes
Centre of mass by integration
Toppling & sliding conditions
Frameworks in equilibrium
Rods & laminas hanging freely
Work, energy & power
Work-energy theorem
📊
Further Statistics
Further Stats
Poisson distribution — Po(λ)
Poisson as approximation to Binomial
Continuous random variables — f(x), F(x)
Mean, variance from a pdf
Chi-squared (χ²) goodness-of-fit test
Contingency tables — χ² test of independence
Confidence intervals
Hypothesis testing — Type I & Type II errors
Central limit theorem
Spearman's rank correlation coefficient
// How It Works

From sign-up to
breakthrough in 4 steps.

01
Register Your Interest

Fill in the registration form with your year group, topics, session preference, and parent/guardian details. No payment required at this stage.

02
Consent & Confirmation

A consent form is sent to your parent or guardian. Once confirmed, you'll receive a session booking link and all joining instructions within 24 hours.

03
Join the Live Session

Sessions run on a secure video platform. All sessions are recorded automatically from start to finish — interactive, focused, and built around your topic cluster.

04
Receive Your Recording

The session recording is sent securely to you and your parent/guardian. Revisit it as many times as you need — it's yours to keep for 3 months.

d/dx[xⁿ] = nxⁿ⁻¹
∫ eˣ dx = eˣ + C
sin²θ + cos²θ = 1
x = (−b ± √(b²−4ac)) / 2a
👤 1:1 Private SessionAvailable
👥 Small Group (max 6)Available
📚 Topic Cluster FocusAvailable
🎓 Exam MasterclassComing Soon
📹 All sessions recordedAlways On

Your child's safety
is our first priority.

Derive Maths operates a comprehensive safeguarding and child protection policy that meets and exceeds the standards set out in Keeping Children Safe in Education (KCSIE) 2023. Every measure below is in place before the first session begins.

📋
Mandatory Parental Consent

No student under 18 may attend any session — 1:1 or group — without a signed Parent/Guardian Consent Form. No exceptions. Consent covers attendance, recording, and data use.

🔴
All Sessions Recorded

Every session is recorded automatically from start to finish. Recordings are shared with the student and available to parents/guardians on request. Stored securely for 3 months, then permanently deleted.

🔒
Secure Platform Only

All sessions use approved, encrypted video platforms (Zoom, Google Meet, or Microsoft Teams). No sessions via WhatsApp, social media, or personal messaging apps — ever.

🛡️
Enhanced DBS Certificate

The lead tutor holds a current Enhanced DBS Certificate. Parents/guardians may request to verify the certificate reference number at any time by emailing [email protected].

📵
No Direct Messaging

All communication with students is via the registered parent/guardian email or within the live session platform only. No social media contact, no personal phone numbers — ever.

🏠
Supervised Environment

For 1:1 sessions with under-18s, a parent or guardian must be present in the same building during the session. The tutor reserves the right to end any session if this cannot be confirmed.

Full Safeguarding Commitments

Sessions use a waiting room — students admitted individually
No student surnames displayed during group sessions
Group chat monitored; private student-to-student chat disabled
Annual safeguarding training completed by the tutor
Any safeguarding concern referred to statutory agencies
Student data never shared with third parties
UK GDPR and Data Protection Act 2018 compliant
Policy reviewed annually and updated as required
Clear escalation pathway to LADO and NSPCC if needed
No social media contact between tutor and students
⬇ Download Full Safeguarding Policy (PDF)

Ready to
derive
your A?

Register your interest below. We'll confirm parental consent and get back to you within 24 hours with session options and availability. No payment required at this stage.

Expert-led by a qualified teacherYears of experience helping students achieve excellent results across GCSE, A-Level, and Further Maths.
Tailored to your learning needsEvery session adapted to your pace, your gaps, your exam board — not a fixed one-size-fits-all plan.
Safe, recorded & transparentDBS checked. Every session recorded. Full safeguarding policy in place before session one.
Parental consent first — alwaysA consent form is sent to your parent/guardian before any session is booked.
Register Your Interest
Secure Form
🔒 Responses stored securely in Google Forms. Parental consent confirmed separately before any session is booked. By submitting you confirm you have read the Safeguarding Policy.