Calibrated diagnostics

Precision testing in 30 minutes

Twenty adaptive questions that adjust difficulty after every response, giving you a verified diagnosis of what you know and where you need review.

Class 10 Physics • ElectricityAdaptive Stage 3

Diagnostic Assessment Test

18:42left
Question 08 of 2040% Completed
Calibrated: +0.4σ (Advanced)

Two cylindrical conductors of equal length and uniform material have radii r₁ and r₂. If their resistance ratio is R₁/R₂ = 4:1, determine the ratio of their cross-sectional radii r₁/r₂.

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Real-time difficulty adjustment
IRT Algorithm

Item Response Theory models calculate student ability after each answer, adjusting the next question to target the edge of your understanding.

Multi-format assessment engine
Curriculum Aligned

Questions span single-choice, assertion-reasoning pairs, multi-step numericals, and case study comprehension stems.

Per-question telemetry and pacing
Deep Analytics

Tracks hesitation time, answer revisions, and pacing metrics to separate quick guesses from thoughtful problem-solving.

Distraction-free command controls
Exam Protocol

Fullscreen lock, keyboard navigation shortcuts, and structured reference sheets keep the focus on solving problems.

Outcome guarantee: Every completed test generates a concept-by-concept weakness diagnosis with a direct revision plan.

Curriculum-grounded intelligence

A tutor that knows your exact chapter

Unlike generic chatbots, LearnLens locks onto your grade, subject, and current concept. Select any of the 8 dedicated study modes to resolve doubts without hallucinations.

Class 10MathematicsPair of Linear Equations

Explain Mode Active

Bound to: Pair of Linear Equations

+18% Concept Clarity
Student Query • Mathematics

"Why do we multiply the equations before subtracting in the elimination method?"

LearnLens AI TutorNCERT Chapter 3.4 • Linear Systems

You multiply by the opposing coefficient to make one variable have identical values. When you subtract equation (2) from (1), that target variable cancels to 0, leaving a single linear equation you can solve in one step.

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Diagnostic Clarity

Traditional scores hide what students actually need

See the difference between an ambiguous score and multi-dimensional diagnostic intelligence.

Traditional ModelPercentage Only
Aggregated test report
Overall Score
72%

Grade: B • 18 of 25 Questions Correct

Feedback: “Needs more practice in Mathematics”

Flat single percentage

A 72% mark masks whether a student failed algebra foundations or made minor calculation slips.

Vague next steps

Generic remarks like 'needs more practice' leave students guessing what topics to study.

No concept-level recovery

Tests are archived without targeted follow-up or validation of recovered weak areas.

Action itemnull generated
LearnLens Diagnostic EngineConcept Telemetry
Class 10 • Real-time mastery map
Composite Mastery
78% Developing
+23% Mastery Recovery

AI Diagnosis: Strong analytical reasoning, but confused trigonometric identity signs during step 3.

Concept DiagnosticsMastery Delta
Linear Equations
Mastered94%
Quadratic Expressions
Strong82%
Trigonometric Ratios
Weak Concept58%
Targeted retest ready (3 concepts)
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