GCSE Maths · proof of learning
Find where the mark disappears.
Studara turns one GCSE Maths mistake into a traceable learning journey: diagnose the broken step, repair the method, then test whether it survives time, a changed question and exam pressure.
Free to start · No grade-uplift claim · Reviewed coverage is named below
Method evidence · AQA A19
held
held
due later
The problem with more practice
“Wrong” is a result. It is not a diagnosis.
A correct final answer can hide fragile working. A wrong answer can come from arithmetic, algebra, method choice or an earlier prerequisite. Studara keeps those possibilities separate and asks for stronger evidence before calling something mastered.
Mock mistake → durable evidence
One mistake. Seven different jobs.
The sequence matters. Help arrives after a committed attempt; delayed retention is not inferred from immediate correction; timed performance is not merged into memory.
- 01
Blind baseline
Attempt an exam-shaped problem before hints or teaching.
- 02
Uncertainty-safe diagnosis
Studara records what the response supports without pretending one wrong answer proves a misconception.
- 03
Guided repair
Work through the exact algebraic step that broke, then complete the reasoning yourself.
- 04
Structured challenge
Show the method, not only the final value, against an exact mark contract.
- 05
Delayed retrieval
Return to a parallel form after time has passed, without the repair beside you.
- 06
Method discrimination
Choose and execute the right method when a nearby alternative could tempt you.
- 07
Timed exam check
Finish under a clock before the evidence chain becomes a verified receipt.
What the receipt can say
Not one mastery percentage. A chain you can inspect.
Method
Did the required working hold?
Retention
Could you retrieve it after a delay?
Discrimination
Could you select the method near a tempting alternative?
Exam
Could you finish a parallel form under time?
Reviewed coverage today
The proof label has a boundary.
Studara has broader GCSE study tools. These are the maths families currently wired through the stricter reviewed proof protocol.
AQA 8300 · G10 subset · Higher
Centre-angle and tangent theorem chains
A same-arc centre angle followed by the tangent–radius right angle and an exact triangle angle sum, marked as three separate states.
AQA 8300 · S3 subset · Higher
Unequal-width histograms
Four continuous classes marked across class widths, frequency-density calculations, exact bar boundaries and plotted heights.
AQA 8300 · N2/N8 subset
Signed mixed-number addition
One negative and one positive mixed number, marked across sign handling, improper conversion, common-denominator scaling and the exact simplified result.
AQA 8300 · G20 subset
Right-triangle method recognition
Two-dimensional right triangles marked across diagram recognition, squared side states, add-versus-subtract discrimination, square root and one-decimal length.
AQA 8300 · P8 subset
Dependent probability without replacement
Two categories and two draws, marked across conditional branch updates, event-path selection, multiplication within paths and exact combination.
AQA 8300 · N15/N16 subset
Directed limits of accuracy
Positive one-decimal measurements in a subtractive expression, marked across exact error intervals, endpoint direction and the final rational bound.
AQA 8300 · R5 subset
Ratio totals versus differences
Two-part integer ratios marked across the wording cue, represented parts, one-part value and both quantities.
AQA 8300 · R9 subset
Original value after a percentage change
One exact price increase or decrease, marked across the retained multiplier, reverse operation and original value.
AQA 8300 · A19 subset
Simultaneous equations
A bounded linear-linear elimination family with explicit method evidence and rational invariants.
AQA 8300 · A18 subset
Quadratic factorisation
Monic quadratics with two distinct integer roots, marked across factor pair and both zero-product solutions.
AQA 8300 · A17
Linear equations
Exact-equivalence marking across transformation, simplification and final solution states.
AQA 8300 · A22 subset
Linear inequalities
Inverse operations that preserve the relation, the reversal after dividing by a negative, and the boundary state and direction encoded on a number line, marked as four separate states.
AQA 8300 · A5 subset
Formula rearrangement
Four-symbol linear formulas in output = offset + coefficient×subject form, marked across subtract-then-divide states.
Alternate-segment, same-segment, semicircle, cyclic-quadrilateral, chord-bisector and multi-theorem proof families remain outside G10. Cumulative-frequency curves, frequency polygons, reading estimates from completed histograms, open-ended class structures and hand-drawn image grading remain outside S3. Fraction multiplication and division, mixed-sign result families, unrestricted fraction expressions and decimal methods remain outside the N2/N8 subset. Trigonometric solutions, angles, 3D geometry, sine/cosine rules, proof, unrestricted diagrams and non-integer given lengths remain outside G20. Replacement sampling, more than two categories or draws, unrestricted tree diagrams, Bayes-style conditional probability, expected value and continuous probability remain outside P8. Reciprocal, negative-domain, trigonometric, area and general interval-arithmetic bounds remain outside N15/N16. Three-part and combined ratios, recipes, concentration, best-buy and general proportional reasoning remain outside R5. Compound and repeated percentage change, interest, multi-step financial contexts, non-linear formula rearrangement, non-monic and repeated-root quadratics, completing the square, the quadratic formula, linear–quadratic systems, graphical approximation and unrestricted handwritten algebra remain outside these reviewed subsets.
Evidence before claims
If the data is too small, the chart stays empty.
Studara publishes the scheduler calibration it can compute, suppresses small cohorts, and states when a marker or dataset has not cleared its bar. The mechanism is live; a claim that it raises grades waits for real outcome evidence.
Before you start
Straight answers.
How is this different from a GCSE Maths question bank?
A question bank usually records whether the final answer was right. Studara's reviewed proof journeys also inspect required working, separate the repair from later checks, and keep retention, transfer and timed performance as different evidence states.
Which GCSE Maths topics have reviewed proof journeys today?
The current reviewed slice covers AQA 8300 G10 centre-angle and tangent chains, S3 unequal-width histograms, N2/N8 signed mixed-number addition, G20 Pythagoras in 2D right triangles, P8 two-draw probability without replacement, N15/N16 limits of accuracy, R5 ratio total-versus-difference cues, R9 original value, A5 formula rearrangement, A17 linear equations, A18 monic quadratic factorisation, A19 linear-linear simultaneous equations and A22 linear inequalities. Every one is linked from the coverage grid above. Wider Studara revision tools cover more material, but the proof label is not applied to an unreviewed family.
Does Studara guarantee a higher GCSE Maths grade?
No. Studara does not publish a grade-uplift claim without outcome evidence. The public proof page shows what is measured, what is withheld, and where the current evidence is not yet large enough.
Can I use it for AQA simultaneous equations practice?
Yes, for the current reviewed linear-linear elimination family. The journey checks equation setup, elimination, substitution and the ordered solution rather than grading only the final pair.
Your next lost mark is useful evidence
Stop collecting questions. Start closing the gap.
Begin with one reviewed GCSE Maths skill. See exactly what held, what did not, and what needs to return later.
Start a proof journeyFree to start · No credit card required