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UK · GCSE · AQA
AQA GCSE Maths
A course-aware revision pathway with source metadata, topic map, paper/test structure, approved original practice, flashcards, AI tutor handoff and Battle Mode connection. This route is labelled Fully covered after passing the StudyVector depth gate.
8300MixedFully coveredLast checked 2026-04-29
Practise
Original questions mapped to topic, subtopic, skill and provider.
Flashcards
Active recall decks for formulas, facts, vocabulary and practicals.
Battle Mode
Energy earned only from real revision progress and mistake repair.
18
Top-level route areas visible before signup.
36
Smaller learning blocks for repair and review.
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Practice targets used by diagnostics and tutor handoff.
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Success criteria tied to real answers, not passive reading.
Night-before review for GCSE Maths
This plan uses your course route, target date and confidence. It is a starter preview until the student saves the course in onboarding.
practise
Start with Algebra
Night-before review: StudyVector starts with the highest-signal topic before widening the plan.
25 min · 10 energyflashcardsReview Equations and inequalities flashcards
Spaced recall keeps today's work from fading before the next session.
9 min · 4 energyexam modeTry a short exam-style practice set
Timed practice turns understanding into exam/test readiness.
18 min · 12 energyai tutorAsk the tutor to explain the next step
Tutor mode uses course-aware language and should guide, not shortcut, the answer.
8 min · 3 energyTopic map
GCSE Maths
Number
Fractions, decimals and percentagesIndices, surds and standard form
GCSE Maths
Algebra
Equations and inequalitiesQuadratics
GCSE Maths
Ratio, proportion and rates of change
Percentages and proportional changeRatio, proportion and rates of change exam practice
GCSE Maths
Geometry and measure
Circle theoremsGeometry and measure exam practice
GCSE Maths
Graphs and functions
Linear graphs and gradientsQuadratic and real-life graphs
GCSE Maths
Pythagoras and trigonometry
Pythagoras' theoremRight-angled trigonometry
GCSE Maths
Probability and statistics
Averages and spreadProbability trees and combined events
GCSE Maths
Sequences, transformations and vectors
Linear and quadratic sequencesTransformations and vectors
GCSE Maths
Number fluency and calculation accuracy
Integer, fraction and percentage fluencyRounding, bounds and standard form
GCSE Maths
Algebraic manipulation and equations
Linear and simultaneous equationsQuadratics, inequalities and rearranging
GCSE Maths
Graphs, functions and sequences
Linear, quadratic and real-life graphsSequences, functions and rates of change
GCSE Maths
Ratio, proportion and financial maths
Ratio, scale and best valueCompound change and reverse percentages
GCSE Maths
Geometry, measure and construction
Angles, polygons and circle theoremsArea, volume and transformations
GCSE Maths
Probability, statistics and data handling
Averages, spread and samplingProbability trees and combined events
GCSE Maths
Exam fluency and calculator choice
Non-calculator method selectionCalculator checks and answer reasonableness
GCSE Maths
Multi-step problem solving
Extracting information from word problemsCombining number, algebra and geometry
GCSE Maths
Proof and mathematical reasoning
Algebraic proof and counterexamplesGeometric reasoning chains
GCSE Maths
Mock paper repair and mixed retrieval
Error pattern repairMixed-topic timed practice
Sample original practice
Rationalise the denominator and simplify: 6 / (√3). Give your answer in the form a√b.
What can you multiply the fraction by to clear the surd from the bottom?
Source type: original · Review status: approved
Sources and legal boundary
StudyVector is independent and is not affiliated with or endorsed by exam boards unless explicitly stated.
- GCSE Mathematics 8300 specification
Last checked 2026-04-29. Official source linked for verification; StudyVector stores only original curriculum mapping and source metadata.
- StudyVector original UK/USA curriculum depth map
Last checked 2026-04-29. Internal original mapping; not copied from paid platforms or official papers.
Explanation, examples and mistakes are visible before full practice
These previews come from the first-party course map and approved question registry. Fully covered means the public route has topic depth, skills, objectives, worked examples and mistake repair attached before students enter full practice.
Fractions, decimals and percentages
What to know
- Equivalent forms can make a question easier
- Always simplify a final fraction when asked
Common mistake
Cancelling across addition
Worked example
A Number question gives a graph, equation and context. What should the first working line do?
- 1. Identify the exact value, relationship or interpretation being requested.
- 2. Choose the cleanest representation: equation, graph, table, diagram or words.
- 3. Carry units and restrictions through to the final line.
Indices, surds and standard form
What to know
- Multiplying powers with the same base adds indices
- Standard form is a x 10^n where 1 <= a < 10
Common mistake
Multiplying indices instead of adding
Worked example
A Number question gives a graph, equation and context. What should the first working line do?
- 1. Identify the exact value, relationship or interpretation being requested.
- 2. Choose the cleanest representation: equation, graph, table, diagram or words.
- 3. Carry units and restrictions through to the final line.
Equations and inequalities
What to know
- Use the same operation on both sides
- Inequality signs reverse when multiplying or dividing by a negative
Common mistake
Dropping a negative sign
Worked example
Solve 3x + 5 = 20.
- 1. Subtract 5 from both sides: 3x = 15
- 2. Divide both sides by 3: x = 5
- 3. Check: 3(5) + 5 = 20
Three quick checks
1. What skill does the approved sample question test?
maths
Multiply numerator and denominator by √3: (6 × √3) / (√3 × √3) = 6√3 / 3 = 2√3.
2. What mistake should you watch for in Fractions, decimals and percentages?
Cancelling across addition
StudyVector stores common mistake patterns so the next attempt can repair the specific error rather than restart the whole course.
3. What should happen after a missed mark?
Review the explanation, name the mistake, then answer a similar question while the correction is fresh.
The page feeds the same loop as practice: attempt, feedback, repair, and return.