Circuit Repair Lab
Trace a broken circuit, test one change, and explain why the lamp stays dark.
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Regression or Illusion?
Inspect a noisy relationship, compare plausible models, and avoid reading certainty from a trend line.
Reconstruct the Incident
Put incomplete signals into a defensible timeline and choose the first containment action.
Camera Exposure Studio
Balance shutter, aperture, and sensitivity for a moving subject without treating exposure as one magic setting.
Fraction Equivalence Machine
Transform two visual quantities and decide when different fractions name the same amount.
Shift the Equilibrium
Perturb a reaction vessel and predict how composition changes before the new equilibrium settles.
Find the Dangerous Permission
Trace inherited roles and find the permission that breaks the declared least-access rule.
Scale a Recipe Without Guessing
Scale every ingredient by one factor and catch the item that was changed inconsistently.
Gas Under Pressure
Observe the same 12-particle model before and after the volume is halved, then use collision evidence to explain the pressure change.
Slice Through a Surface
Inspect a fixed 3D paraboloid and its horizontal slice, then connect the visible circle to the equation xΒ² + yΒ² = 4.
Contain the Quality Escape
Use line, lot, time-window, and inspection evidence to contain a fictional defect without claiming that the tool change is already the root cause.
Find the Hidden Energy Cost
Compare power and operating time for three everyday devices and identify the largest daily energy contribution.
Osmosis Membrane Lab
Compare two equal-volume solutions, identify what crosses a selective membrane, and predict the direction of net water movement.
Epidemic Model Decisions
Read two bounded infection curves, compare peak height and timing, and explain what a lower transmission parameter does without treating the model as a forecast.
Resolve the Three-Way Match
Reconcile a fictional purchase order, goods receipt, and invoice, then identify the exact quantity that still needs resolution.
Water the Garden Well
Combine surface moisture, root-zone moisture, and a near-term rain forecast to choose a reversible watering decision.
Geometry That Survives Dragging
Move C through four positions and separate what stays equal from what only looks fixed.
Signal or Noise?
Compare twelve calibration runs and decide whether a visible excursion repeats enough to investigate as a signal.
Assess an Engineering Change
Trace a connector-width change through interface clearance, testing, stock, and customer configurations before choosing a release decision.
Choose a Trip Deliberately
Use stated priorities, hard constraints, weighted scores, and a sensitivity check to choose among three synthetic routes.
Misleading Graph Detective
Inspect a dramatic four-point chart, compare its truncated scale with an honest scale, and state what the numbers do and do not support.
Circuit Parameter Identification
Inspect a measured resistor circuit, infer one resistance from two states, carry uncertainty through the calculation, and test it against a third state.
Balance Capacity and Demand
Allocate a confirmed six-hour capacity floor across three work lines, protect hard safety constraints, and make the remaining queue visible.
Trace a Claim to Its Source
Follow a striking risk headline through reposts and summaries until the denominator, time frame, method, and uncertainty are visible again.
Seedling Diagnosis: Evidence Before Certainty
Use a small, fictional seedling data set to distinguish what was observed from what is only a likely explanation.
Design a Stronger Experiment
Repair one named validity threat by matching the claim, comparison, measurement and control.
Build the Risk Bow-Tie
Map a fictional data-loss pathway and distinguish what prevents the event from what limits impact after it occurs.
Plan a Difficult Conversation
Turn a tense fictional handoff into observations, questions, interests and one workable shared commitment.
Conflicting History Sources
Compare two accounts of the same event and identify what each source can actually support.
Audit an Academic Argument
Trace a conclusion through evidence and assumptions, then find the link that needs support.
What Changed in the Policy?
Compare two policy revisions and identify the change that affects the next decision.
Redesign a Habit System
Map cues, friction, reward, and feedback, then change the smallest part that blocks repetition.
Shadow and Sun Explorer
Change the sun angle and explain why a fixed object casts different shadow lengths.
Membrane Transport Investigation
Compare concentration traces and distinguish passive transport from an energy-dependent process.
Repair a Customer Journey
Follow a customer across channels and repair the handoff where context is lost.
Measure Before You Build
Combine repeated measurements and clearance tolerance before cutting material.
Electric Bell Troubleshooter
Trace the feedback cycle in an electric bell and find the step that has stopped.
Feedback in a Dynamic System
Trace reinforcing and balancing loops and predict the system's delayed response.
Make a Decision Under Uncertainty
Compare options across value, downside, reversibility, and confidence, then record the decision logic.
Triage a Busy Week
Sort tasks by consequence, deadline, effort, and dependency, then protect the next concrete block of time.
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