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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

2x + y = 11x − y = 1
Elimination3x = 12

held

Substitutionx = 4 → y = 3

held

Delayed parallel formreturn without the repair

due later

Final answer(4, 3)Method marks preserved

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.

  1. 01

    Blind baseline

    Attempt an exam-shaped problem before hints or teaching.

  2. 02

    Uncertainty-safe diagnosis

    Studara records what the response supports without pretending one wrong answer proves a misconception.

  3. 03

    Guided repair

    Work through the exact algebraic step that broke, then complete the reasoning yourself.

  4. 04

    Structured challenge

    Show the method, not only the final value, against an exact mark contract.

  5. 05

    Delayed retrieval

    Return to a parallel form after time has passed, without the repair beside you.

  6. 06

    Method discrimination

    Choose and execute the right method when a nearby alternative could tempt you.

  7. 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.

Reviewed journey available

AQA 8300 · S3 subset · Higher

Unequal-width histograms

Four continuous classes marked across class widths, frequency-density calculations, exact bar boundaries and plotted heights.

Reviewed journey available

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.

Reviewed journey available

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.

Reviewed journey available

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.

Reviewed journey available

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.

Reviewed journey available

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.

Reviewed journey available

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.

Reviewed journey available

AQA 8300 · A5 subset

Formula rearrangement

Four-symbol linear formulas in output = offset + coefficient×subject form, marked across subtract-then-divide states.

Reviewed journey available

AQA 8300 · A17

Linear equations

Exact-equivalence marking across transformation, simplification and final solution states.

Reviewed journey available

AQA 8300 · A18 subset

Quadratic factorisation

Monic quadratics with two distinct integer roots, marked across factor pair and both zero-product solutions.

Reviewed journey available

AQA 8300 · A19 subset

Simultaneous equations

A bounded linear-linear elimination family with explicit method evidence and rational invariants.

Reviewed journey available

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 and A19 linear-linear simultaneous equations. 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 journey

Free to start · No credit card required