MSRX StoryQuest
Catalogue of interactive apparatusOne hundred plates · Four worlds

Every mission is an equation with one quantity you can move.

Read what the instruments are telling you, move the control, and commit once both sides of the relationship agree. No sign-in, nothing stored.

τ1=τ2  ⇒  F1d1=F2d2\tau_1 = \tau_2 \;\Rightarrow\; F_1 d_1 = F_2 d_2
Plate M001 · Physics · Torque rig
World
Level
222 plates
M001Foundation

Torque balance

a cargo crane leaning over a flooded rail yard

Torque rigEnter mission M002Foundation

Lever arms

a field workshop lifting a generator with a scaffold pole

Torque rigEnter mission M003Foundation

Center of mass

a rescue plank bridging a collapsed stairwell

Torque rigEnter mission M004Foundation

Static friction

a loading ramp where crates keep sliding on wet steel

Friction sledEnter mission M005Foundation

Newton's first law

a cable car stalled halfway across a gorge

Force cartEnter mission M006Foundation

Newton's second law

a magnetic launch sled on a test track

Force cartEnter mission M007Foundation

Momentum transfer

a docking clamp catching a drifting supply pod

Collision trackEnter mission M008Foundation

Energy conservation

a gravity-fed water tower feeding an emergency turbine

Energy ledgerEnter mission M009Explorer

Power networks

P=VIP = VI

a field hospital running on a single generator line

Current splitterEnter mission M010Explorer

Series circuits

RT=R1+R2R_T = R_1 + R_2

a signal repeater that keeps burning out its driver

Current splitterEnter mission M011Explorer

Parallel circuits

1RT=1R1+1R2\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}

a rover heater bank drawing from one battery bus

Current splitterEnter mission M012Explorer

Voltage loops

∑V=0\sum V = 0

a battery bank feeding a comms mast

Current splitterEnter mission M013Explorer

Magnetic flux

ΦB=BA\Phi_B = BA

an induction charging pad under a hospital trolley

Field coilEnter mission M014Explorer

Electromagnet strength

B∝NIB \propto NI

a scrapyard lifting magnet that keeps dropping its load

Field coilEnter mission M015Explorer

Wave frequency

v=fλv = f\lambda

a sonar buoy searching a channel for a sunken hull

Wave consoleEnter mission M016Explorer

Refraction paths

n1sin⁡θ1=n2sin⁡θ2n_1\sin\theta_1 = n_2\sin\theta_2

a laser survey line entering a flooded tunnel

Optics benchEnter mission M017Explorer

Convex lenses

1f=1do+1di\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}

a projector rebuilt from salvage for a night briefing

Optics benchEnter mission M018Challenge

Mirror angles

θi=θr\theta_i = \theta_r

a periscope relay assembled to see over a debris wall

Reflection deckEnter mission M019Challenge

Sound resonance

f1=v2Lf_1 = \frac{v}{2L}

a warning horn being tuned before a storm front arrives

Wave consoleEnter mission M020Challenge

Pressure systems

P=FAP = \frac{F}{A}

an ice-shelf research hut resting on soft snow

Piston benchEnter mission M021Challenge

Hydraulic lifts

F1A1=F2A2\frac{F_1}{A_1} = \frac{F_2}{A_2}

a workshop jack lifting a collapsed roof beam

Piston benchEnter mission M022Challenge

Heat transfer

Q=mcΔTQ = mc\Delta T

a shelter boiler warming water for a hundred people

Heat bridgeEnter mission M023Challenge

Phase energy

Q=mLQ = mL

an ice core lab melting a sample without overheating it

Heat bridgeEnter mission M024Challenge

Projectile paths

R=v02sin⁡2θgR = \frac{v_0^2\sin 2\theta}{g}

a line-throwing gun firing a rescue rope across a river

Launch arcEnter mission M025Challenge

Gravity fields

Fg=Gm1m2r2F_g = \frac{Gm_1m_2}{r^2}

a survey satellite choosing a stable orbit altitude

Orbital ringEnter mission M026Foundation

Balancing a seesaw

a playground seesaw with two children of very different size

Equation balanceEnter mission M027Foundation

Pushing a loaded cart

a market porter shifting a loaded handcart off a kerb

Force cartEnter mission M028Explorer

Crowbar leverage

F1d1=F2d2F_1 d_1 = F_2 d_2

a stagehand levering a crate lid with a flat bar

Torque rigEnter mission M029Explorer

Braking friction

f=μNf = \mu N

a loading-bay conveyor whose emergency brake pad is being set

Friction sledEnter mission M030Challenge

Conserving momentum

m1u1=(m1+m2)vm_1 u_1 = (m_1 + m_2) v

a shunting yard coupling a moving wagon to a stationary one

Collision trackEnter mission M031Foundation

Work done lifting

a well in a courtyard where a bucket is hauled by hand

Energy ledgerEnter mission M032Explorer

Gravitational store

Ep=mghE_p = mgh

a pumped-storage reservoir topping up overnight

Energy ledgerEnter mission M033Explorer

Power and time

P=WtP = \frac{W}{t}

a goods lift being specified for a warehouse mezzanine

Energy ledgerEnter mission M034Challenge

Stopping distance energy

Ek=f×dE_k = f \times d

a runaway trolley ramp at the end of a steep service road

Friction sledEnter mission M035Explorer

Electromagnet turns

B∝NIB \propto NI

a scrapyard lifting magnet being rewound after a burnout

Field coilEnter mission M036Challenge

Transformer turns ratio

VsVp=NsNp\frac{V_s}{V_p} = \frac{N_s}{N_p}

a village transformer being rewound to feed a new pump house

Field coilEnter mission M037Foundation

Timing an echo

a canyon wall being ranged by shouting and counting

Reflection deckEnter mission M038Explorer

Tuning a string

v=fλv = f\lambda

a sitar being tuned before a recording session

Wave consoleEnter mission M039Challenge

Sonar depth sounding

d=vt2d = \frac{vt}{2}

a fishing boat sounding a channel before entering at low tide

Wave consoleEnter mission M040Foundation

Shadows and similar triangles

a school measuring a flagpole without climbing it

Reflection deckEnter mission M041Explorer

Law of reflection

θi=θr\theta_i = \theta_r

a heliostat aiming daylight down a hospital light well

Reflection deckEnter mission M042Challenge

Lens power

P=1fP = \frac{1}{f}

an optician grinding a reading lens to a written prescription

Optics benchEnter mission M043Foundation

Pressure and area

a rescue team crossing thin ice on boards

Area plannerEnter mission M044Explorer

Hydraulic advantage

F1A1=F2A2\frac{F_1}{A_1} = \frac{F_2}{A_2}

a workshop jack being sized to lift a tractor axle

Piston benchEnter mission M045Challenge

Pressure with depth

P=ρghP = \rho g h

a rooftop tank feeding a sprinkler system four floors down

Piston benchEnter mission M046Explorer

Heating a tank

Q=mcΔTQ = mc\Delta T

a hostel water heater sized for the morning rush

Heat bridgeEnter mission M047Challenge

Expansion gap

ΔL=αLΔT\Delta L = \alpha L \Delta T

a steel footbridge being set on its bearings in winter

Heat bridgeEnter mission M048Foundation

Weight and gravity

a science museum exhibit that weighs visitors on other worlds

Orbital ringEnter mission M049Challenge

Gravitational pull with distance

F=GMmr2F = \frac{GMm}{r^2}

a survey satellite being placed where its instrument reads correctly

Orbital ringEnter mission M050Explorer

Floating and sinking

Fb=ρgVF_b = \rho g V

a class testing which objects float in a water tray

Gas cylinderEnter mission M051Foundation

Speed, distance and time

a school bus route being timetabled to arrive before the bell

Collision trackEnter mission M052Explorer

Resistors in series

RT=R1+R2R_T = R_1 + R_2

a lab bench dropping a supply down to a safe test voltage

Equation balanceEnter mission M053Challenge

Refraction at a boundary

n1sin⁡θ1=n2sin⁡θ2n_1\sin\theta_1 = n_2\sin\theta_2

a fibre-optic splice being aligned against its acceptance cone

Optics benchEnter mission M054Challenge

Specific heat capacity

c=QmΔTc = \frac{Q}{m\Delta T}

a foundry identifying an unlabelled metal ingot by its heat capacity

Particle chamberEnter mission M055Foundation

Pulleys and effort

a builder hoisting mortar to a first-floor scaffold

Equation balanceEnter mission M056Explorer

Balanced forces in fall

W=DW = D

an aid drop being rigged so crates land intact

Friction sledEnter mission M057Explorer

Absorbing sound

A=αSA = \alpha S

a school hall being treated so speech is intelligible

Reflection deckEnter mission M058Challenge

Orbital speed

v=2πrTv = \frac{2\pi r}{T}

a ground station predicting when a survey satellite reappears

Orbital ringEnter mission M059Foundation

Pulling together

a sports-day tug of war where the rope has not moved all afternoon

Force cartEnter mission M060Foundation

How many magnets

a classroom tidy-up race with paperclips spilled across the floor

Field coilEnter mission M061Foundation

Loading to the line

a school field trip loading a sledge that grips the snow once it is heavy enough

Friction sledEnter mission M062Foundation

Waiting for it to cool

a school kitchen waiting for a metal tray to be safe to carry

Particle chamberEnter mission M063Explorer

Resistance along a wire

R=ρLAR = \rho \frac{L}{A}

a school laboratory winding a heating element to a specified resistance

Particle chamberEnter mission M064Explorer

Work along a ramp

W=F×dW = F \times d

a warehouse costing the energy of hauling a pallet up a loading ramp

Torque rigEnter mission M026Foundation

Particle motion

a sealed sample chamber on a high-altitude balloon

Particle chamberEnter mission M027Foundation

Gas compression

a diving cylinder being refilled at a coastal station

Gas cylinderEnter mission M028Foundation

Phase changes

a solar still producing drinking water on a stranded boat

Heat bridgeEnter mission M029Foundation

Thermal expansion

a 25 m steel footbridge installed on a hot afternoon

Heat bridgeEnter mission M030Foundation

Atomic structure

an isotope scanner checking a shipment of shielding plate

Atom builderEnter mission M031Foundation

Electron shells

a spectrometer identifying gas in a sealed vault

Atom builderEnter mission M032Foundation

Valence electrons

a materials lab predicting how a salt will bond

Atom builderEnter mission M033Foundation

Ionic bonding

a de-icing compound being mixed for an airfield

Bonding benchEnter mission M034Explorer

Covalent bonding

Etotal=nEbondE_{total} = n E_{bond}

a fuel analysis rig measuring what a hydrocarbon releases

Bonding benchEnter mission M035Explorer

Chemical equations

2H2+O2→2H2O2H_2 + O_2 \rightarrow 2H_2O

a fuel cell being commissioned for a remote clinic

Reaction vesselEnter mission M036Explorer

Conservation of mass

mreactants=mproductsm_{reactants} = m_{products}

a school lab that appears to have lost mass mid-reaction

Reaction vesselEnter mission M037Explorer

Acid-base balance

pH=−log⁡10[H+]pH = -\log_{10}[H^+]

a fish hatchery whose tanks have turned acidic overnight

pH stabilizerEnter mission M038Explorer

pH calibration

pH=−log⁡10[H+]pH = -\log_{10}[H^+]

a soil probe being calibrated before a planting survey

pH stabilizerEnter mission M039Explorer

Solute saturation

S=msolutemsolutionS = \frac{m_{solute}}{m_{solution}}

a brine tank feeding an ice-road de-icing rig

Solution beakerEnter mission M040Explorer

Solution concentration

C=nVC = \frac{n}{V}

a pharmacy diluting a stock solution for a paediatric dose

Solution beakerEnter mission M041Explorer

Reaction rates

rate=Δ[P]Δtrate = \frac{\Delta[P]}{\Delta t}

a chemical hand-warmer being timed before a mountain expedition

Reaction vesselEnter mission M042Explorer

Catalyst pathways

Ea,cat=Ea−ΔEE_{a,cat} = E_a - \Delta E

an exhaust converter that stopped working in cold weather

Reaction vesselEnter mission M043Challenge

Oxidation

Ox:e− lost\mathrm{Ox}: e^- \text{ lost}

a hull inspection finding rust below the waterline

Electron transfer cellEnter mission M044Challenge

Reduction

Red:e− gained\mathrm{Red}: e^- \text{ gained}

a silver recovery cell reclaiming metal from waste solution

Electron transfer cellEnter mission M045Challenge

Periodic patterns

Zeff=Z−SZ_{eff} = Z - S

a trends worksheet that keeps predicting the wrong atomic radius

Atom builderEnter mission M046Challenge

Density layers

ρ=mV\rho = \frac{m}{V}

an oil spill response team predicting where a slick will sit

Solution beakerEnter mission M047Challenge

Separation methods

Rf=dsolutedsolventR_f = \frac{d_{solute}}{d_{solvent}}

a forensic lab matching ink from a disputed document

Separation stripEnter mission M048Challenge

Molecular polarity

μ=qr\mu = qr

a membrane filter that lets the wrong molecules through

Bonding benchEnter mission M049Challenge

Heat of reaction

ΔH=qn\Delta H = \frac{q}{n}

a calorimeter checking a new hand-warmer formula

Heat bridgeEnter mission M050Challenge

Carbon cycles

C+O2→CO2C + O_2 \rightarrow CO_2

a biochar kiln being tuned so it burns clean

Ecosystem webEnter mission M051Explorer

Solid, liquid, gas

Q=mLfQ = mL_f

a fish stall keeping its catch under crushed ice

Particle chamberEnter mission M052Foundation

Density and floating

a river ferry being loaded to a painted safety line

Gas cylinderEnter mission M053Challenge

Boyle's law

P1V1=P2V2P_1V_1 = P_2V_2

a diving cylinder being decanted into a smaller travel bottle

Gas cylinderEnter mission M054Explorer

Valency and formulae

n1v1=n2v2n_1 v_1 = n_2 v_2

a fertiliser plant checking a batch formula before mixing

Bonding benchEnter mission M055Explorer

Balancing an equation

CH4+x O2→CO2+2H2O\text{CH}_4 + x\,\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}

a burner rig being set for complete combustion

Reaction vesselEnter mission M056Foundation

Mass is conserved

a sealed flask on a balance during a fizzing reaction

Reaction vesselEnter mission M057Foundation

Neutralising acid soil

a tea estate liming a plot that has turned too acidic

Reaction vesselEnter mission M058Challenge

Titration endpoint

M1V1=M2V2M_1V_1 = M_2V_2

a water board titrating a sample against standard alkali

pH stabilizerEnter mission M059Foundation

Dissolving and saturation

a sweet shop mixing syrup to a fixed recipe

Particle chamberEnter mission M060Foundation

Separating a mixture

a salt pan separating grit from the day's harvest

Separation stripEnter mission M061Challenge

Diluting a stock

M1V1=M2V2M_1V_1 = M_2V_2

a hospital pharmacy stepping a stock solution down to a dose strength

Solution beakerEnter mission M062Explorer

Surface area and rate

r∝Ar \propto A

a limestone kiln deciding how finely to crush its feedstock

Reaction vesselEnter mission M063Challenge

Charge in electrolysis

Q=ItQ = It

an electroplating bath depositing a fixed mass of nickel

Electron transfer cellEnter mission M064Foundation

Grouping materials

an infant class sorting a tray of objects into metal and not-metal

Particle chamberEnter mission M065Foundation

Evaporating to dryness

a coastal school evaporating seawater on a windowsill

Separation stripEnter mission M066Challenge

Moles and mass

n=mMn = \frac{m}{M}

a lab weighing out sodium chloride for a standard solution

Particle chamberEnter mission M067Explorer

Rusting and oxygen

4Fe+3O2→2Fe2O34\text{Fe} + 3\text{O}_2 \rightarrow 2\text{Fe}_2\text{O}_3

a bridge inspector estimating iron lost to a season of rust

Electron transfer cellEnter mission M068Challenge

The pH scale

pH=−log⁡10[H+]\text{pH} = -\log_{10}[\text{H}^+]

a brewery holding mash acidity inside a narrow window

pH stabilizerEnter mission M069Explorer

Exothermic reactions

ΔH<0\Delta H < 0

a self-heating ration pack being specified for a relief agency

Heat bridgeEnter mission M070Explorer

Catalysts and rate

r=kcr = kc

an effluent plant dosing a catalyst to clear a tank overnight

Ecosystem webEnter mission M071Foundation

Solubility and heat

a jam kitchen dissolving sugar into fruit pulp

Separation stripEnter mission M072Foundation

Ice on the tray

a classroom melting experiment that needs a full tray to start

Particle chamberEnter mission M073Foundation

Mixing to the same shade

an art room mixing jars of poster paint to one agreed shade

Particle chamberEnter mission M074Foundation

Salting to the recipe

a school kitchen brining vegetables to a written recipe

Bridge scalerEnter mission M075Explorer

Fuel to oxygen ratio

CH4+2O2→CO2+2H2OCH_4 + 2O_2 \rightarrow CO_2 + 2H_2O

a boiler house setting the gas feed against a fixed oxygen supply

Bonding benchEnter mission M076Explorer

Dosing an antacid

nbase=nacidn_{base} = n_{acid}

a pharmacy technician checking a dose against a stomach acid load

Reaction vesselEnter mission M051Foundation

Ratios

a concrete mixer on a bridge repair with one bag of cement left

Bridge scalerEnter mission M052Foundation

Proportions

a water pump costed by the hour for a drought response

Bridge scalerEnter mission M053Foundation

Fractions

a relief warehouse splitting 64 pallets between two districts

Fraction wheelEnter mission M054Foundation

Linear equations

a ferry loading ramp rated by axle weight

Coordinate navigatorEnter mission M055Foundation

Coordinate planes

a drone flying a straight line to a stranded hiker

Coordinate navigatorEnter mission M056Foundation

Gradient paths

a wheelchair ramp being designed for a village clinic

Coordinate navigatorEnter mission M057Foundation

Scale drawings

an evacuation floor plan being redrawn for a school wall

Bridge scalerEnter mission M058Foundation

Similar shapes

a replacement sail being cut from a photograph of the original

Bridge scalerEnter mission M059Explorer

Interior angles

∑θ=180∘\sum\theta = 180^\circ

a roof truss being cut on site with one angle unmarked

Angle lockEnter mission M060Explorer

Triangle properties

a2+b2=c2a^2 + b^2 = c^2

a radio mast held by a guy wire on a rocky slope

Right-triangle rigEnter mission M061Explorer

Pythagorean paths

d2=x2+y2d^2 = x^2 + y^2

a supply run cutting diagonally across a flooded grid of streets

Right-triangle rigEnter mission M062Explorer

Circle measures

C=2πrC = 2\pi r

a water tank being wrapped with a fixed length of insulation

Circle gaugeEnter mission M063Explorer

Golden ratio

φ=1+52\varphi = \frac{1+\sqrt5}{2}

a museum frame being cut to the proportions of the painting inside

Area plannerEnter mission M064Explorer

Transformations

(x,y)→(x+a,y+b)(x, y) \rightarrow (x + a, y + b)

a survey dataset logged against the wrong origin marker

Number lineEnter mission M065Explorer

Symmetry

x′=2a−xx' = 2a - x

a stage lighting rig being mirrored to the opposite wing

Reflection deckEnter mission M066Explorer

Probability

P(A)=favourabletotalP(A) = \frac{favourable}{total}

a raffle for a community solar panel with a promised win rate

Chance spinnerEnter mission M067Explorer

Mean and median

xˉ=∑xn\bar{x} = \frac{\sum x}{n}

a rainfall station filing a monthly average with one day missing

Data balancing boardEnter mission M068Challenge

Data spread

range=max−minrange = max - min

a cold chain audit on a vaccine shipment

Data balancing boardEnter mission M069Challenge

Number patterns

an=a1+(n−1)da_n = a_1 + (n-1)d

a terraced planting scheme stepping down a hillside

Sequence stepsEnter mission M070Challenge

Negative numbers

a+x=ba + x = b

a submersible logging depth against a shifting sea-level datum

Number lineEnter mission M071Challenge

Algebraic balance

L=RL = R

a budget reconciliation for a school science fund

Equation balanceEnter mission M072Challenge

Inequalities

ax≤cax \le c

a lift with a strict load limit in a hospital tower

Number lineEnter mission M073Challenge

Area and perimeter

A=lwA = lw

a tarpaulin being cut to cover a damaged grain store

Area plannerEnter mission M074Challenge

Volume scaling

V=AbasehV = A_{base} h

a rainwater cistern being sized for a rooftop garden

Volume blockEnter mission M075Challenge

Graph interpretation

y=f(x)y = f(x)

a clinic reading a dosage chart it cannot afford to misread

Coordinate navigatorEnter mission M076Foundation

Making ten

a bakery tray that has to leave with ten buns on it

Number lineEnter mission M077Foundation

Counting in twos

a shoe rack in a school corridor before a class trip

Sequence stepsEnter mission M078Foundation

Sharing equally

four friends splitting a bag of marbles on a school step

Fraction wheelEnter mission M079Foundation

Place value

a school library counting books back onto the shelves

Number lineEnter mission M080Foundation

Rows and columns

a village hall laying out chairs for a prize evening

Area plannerEnter mission M081Foundation

Perimeter of a plot

a kitchen garden being fenced against rabbits

Angle lockEnter mission M082Foundation

Counting change

a stationery counter at the start of a school term

Number lineEnter mission M083Foundation

Equivalent fractions

a pizza kitchen scaling a recipe from four slices to twenty

Fraction wheelEnter mission M084Foundation

Decimal addition

a chemist weighing out a prescription on a digital balance

Number lineEnter mission M085Foundation

Finding the average

a cricket coach picking an opener on batting average

Data balancing boardEnter mission M086Foundation

Area of a floor

a classroom being retiled over a weekend

Area plannerEnter mission M087Foundation

Reading a map scale

a trekking group planning a day walk from a paper map

Coordinate navigatorEnter mission M088Foundation

Odd and even

a classroom pairing up for a partner game

Sequence stepsEnter mission M089Foundation

Counting in fives

a tuck shop counting five-rupee coins into a bag

Number lineEnter mission M090Foundation

Metres and centimetres

a tailor cutting cloth from a bolt marked in metres

Number lineEnter mission M091Explorer

Percentage discount

price×(1−d)=sale\text{price} \times (1 - d) = \text{sale}

a shop repricing stock for an end-of-season sale

Fraction wheelEnter mission M092Explorer

Simple interest

I=PRT100I = \frac{PRT}{100}

a cooperative bank quoting a smallholder on a seasonal loan

Coordinate navigatorEnter mission M093Explorer

Angles in a triangle

α+β+γ=180°\alpha + \beta + \gamma = 180°

a roof truss being set out on the workshop floor

Angle lockEnter mission M094Explorer

Circumference of a wheel

C=2πrC = 2\pi r

a cycle shop calibrating a distance meter to a wheel

Circle gaugeEnter mission M095Explorer

Solving for x

7x+19=967x + 19 = 96

a courier pricing a route with a fixed pickup charge

Equation balanceEnter mission M096Challenge

Ladder against a wall

a2+b2=c2a^2 + b^2 = c^2

a painter setting a ladder to a safe angle against a wall

Right-triangle rigEnter mission M097Explorer

Expected outcomes

E=npE = np

a school fete pricing a spinning-wheel stall

Chance spinnerEnter mission M098Challenge

Volume of a cylinder

V=πr2hV = \pi r^2 h

a dairy sizing a cylindrical chilling vat

Volume blockEnter mission M099Challenge

Gradient of a line

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

a surveyor setting the fall on a drainage run

Coordinate navigatorEnter mission M100Foundation

Doubling

a kitchen doubling a recipe for a family gathering

Fraction wheelEnter mission M101Foundation

Lines of symmetry

a rangoli being completed from one half of a drawn pattern

Reflection deckEnter mission M102Foundation

Reading a bar chart

a class chart of favourite fruits with one bar unlabelled

Data balancing boardEnter mission M103Explorer

Scale models

ab=cd\frac{a}{b} = \frac{c}{d}

an engineering fair building a scale model of a river bridge

Area plannerEnter mission M104Foundation

Counting on to nine

a library trolley that has to go back to the shelf full

Sequence stepsEnter mission M105Foundation

Counting corners

a craft table sticking a bead on every corner of some paper squares

Angle lockEnter mission M106Foundation

Sharing the sticker sheet

a class handing out a sticker sheet so nobody is left short

Fraction wheelEnter mission M107Foundation

Measuring without a ruler

a classroom measuring a bench when the metre rule has gone missing

Number lineEnter mission M108Explorer

Hours on the job

ax=cax = c

a workshop reconciling a labour line against its published hourly rate

Equation balanceEnter mission M076Foundation

Cell membranes

a tissue sample being kept alive during transport to a burns unit

Osmosis chamberEnter mission M077Foundation

Osmosis

a hydroponic bed where every seedling has wilted overnight

Osmosis chamberEnter mission M078Foundation

Diffusion

an incubator whose oxygen keeps pooling at one end

Osmosis chamberEnter mission M079Foundation

Chloroplast energy

a vertical farm rationing electricity during a grid shortage

Leaf canopyEnter mission M080Foundation

Mitochondria output

an altitude training camp tracking why athletes fade after an hour

Mitochondrial furnaceEnter mission M081Foundation

Cell division

a wound culture being grown to patch a graft

Division timelineEnter mission M082Foundation

DNA instructions

a gene sequencer flagging a read as corrupted

DNA transcriberEnter mission M083Foundation

Protein synthesis

an insulin production line running short of one amino acid

DNA transcriberEnter mission M084Explorer

Immune response

antibody=antigenantibody = antigen

a ward tracking whether a patient is winning against an infection

Cell defense gridEnter mission M085Explorer

Viral defense

load↓ as response↑load \downarrow \text{ as } response \uparrow

a vaccination programme modelling how much coverage is enough

Cell defense gridEnter mission M086Explorer

Food webs

Enext=0.1EprevE_{next} = 0.1 E_{prev}

a reserve deciding how much grazing land its wolves require

Ecosystem webEnter mission M087Explorer

Predator-prey balance

dNdt=rN(1−NK)\frac{dN}{dt} = rN\left(1-\frac{N}{K}\right)

an island where an introduced deer herd is stripping the forest

Ecosystem webEnter mission M088Explorer

Carrying capacity

N≤KN \le K

a fishery setting a quota after two bad seasons

Ecosystem webEnter mission M089Explorer

Water cycles

E+T=PE + T = P

a catchment model that keeps predicting phantom floods

Water cycle loopEnter mission M090Explorer

Photosynthesis

6CO2+6H2O→C6H12O6+6O26CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2

a sealed biosphere module scrubbing its own air

Leaf canopyEnter mission M091Explorer

Respiration

VE=VTfV_E = V_T f

a ventilator being set for a patient after surgery

Pulmonary monitorEnter mission M092Explorer

Pulmonary volume

VE=VTfV_E = V_T f

a high-altitude clinic assessing a climber with shallow breathing

Pulmonary monitorEnter mission M093Challenge

Cardiac pulse

CO=HR×SVCO = HR \times SV

a marathon medical tent assessing a collapsed runner

Circulation loopEnter mission M094Challenge

Blood transport

Q=ΔPRQ = \frac{\Delta P}{R}

a dialysis line that keeps alarming for low flow

Circulation loopEnter mission M095Challenge

Nervous signals

v=dtv = \frac{d}{t}

a nerve conduction test after a cycling accident

Nerve relayEnter mission M096Challenge

Plant tropisms

growth→stimulusgrowth \rightarrow stimulus

a research greenhouse where seedlings are bending into the walkway

Leaf canopyEnter mission M097Challenge

Ecosystem resilience

resilience=diversity+recoveryresilience = diversity + recovery

a burnt hillside being replanted after a wildfire season

Ecosystem webEnter mission M098Challenge

Biodiversity

stability∝biodiversitystability \propto biodiversity

a restored wetland being assessed for legal protection

Species boardEnter mission M099Challenge

Human digestion

absorbed=0.62×intakeabsorbed = 0.62 \times intake

a nutrition plan for a recovery ward

Digestive tractEnter mission M100Challenge

Homeostasis

Δinternal≈0\Delta_{internal} \approx 0

a neonatal incubator drifting out of its safe band

Cell defense gridEnter mission M101Foundation

Microscope magnification

a school microscope being set up for a first look at onion skin

Division timelineEnter mission M102Challenge

Surface area to volume

SAV=6l\frac{SA}{V} = \frac{6}{l}

a tissue-culture lab sizing agar cubes for a diffusion trial

Mitochondrial furnaceEnter mission M103Foundation

Counting a pulse

a school health check taking pulses after a skipping test

Circulation loopEnter mission M104Foundation

A balanced meal

a school kitchen planning a midday meal to a set energy figure

Digestive tractEnter mission M105Explorer

Ventilation rate

Vmin=f×VtV_{\text{min}} = f \times V_t

a high-altitude trekking clinic checking a client before a pass

Pulmonary monitorEnter mission M106Explorer

Nerve signal speed

t=dvt = \frac{d}{v}

a sports lab measuring how fast a sprinter reacts to the gun

Nerve relayEnter mission M107Foundation

Watering seed trays

a nursery watering trays of seedlings before a hot afternoon

Water cycle loopEnter mission M108Challenge

Limiting factors

r∝Ir \propto I

a research glasshouse tuning its lamps to a target growth rate

Leaf canopyEnter mission M109Foundation

Energy along a food chain

a wetland survey explaining why big predators are rare

Species boardEnter mission M110Explorer

Catchment and runoff

V=A×dV = A \times d

a village sizing a rooftop rainwater tank before the monsoon

Water cycle loopEnter mission M111Challenge

Monohybrid ratio

3:13 : 1

a seed company checking a monohybrid cross against expectation

DNA transcriberEnter mission M112Explorer

Herd immunity threshold

Vc=1−1R0V_c = 1 - \frac{1}{R_0}

a district planning a measles campaign before the school year

Cell defense gridEnter mission M113Foundation

Living and non-living

a nature walk sorting a collection tray back at the classroom

Cell defense gridEnter mission M114Foundation

Counting teeth

a dental camp charting a child's milk teeth

Digestive tractEnter mission M115Foundation

Roots, stems and leaves

a school garden club potting cuttings for a plant sale

Species boardEnter mission M116Challenge

Cardiac output

CO=HR×SVCO = HR \times SV

a cardiology unit checking output before clearing a patient to exercise

Circulation loopEnter mission M117Explorer

Carrying capacity

N=KN = K

a reserve deciding how many deer a valley can carry through winter

Species boardEnter mission M118Foundation

Stopping germs spreading

a school clinic charting absences through a stomach bug

Cell defense gridEnter mission M119Explorer

Transpiration pull

Q=A×rQ = A \times r

an orchard scheduling irrigation against measured water loss

Water cycle loopEnter mission M120Explorer

Enzymes and digestion

r∝[E]r \propto [E]

a nutrition lab modelling starch breakdown in the small intestine

Digestive tractEnter mission M121Foundation

Counting legs in the pen

a farm visit where the class counts legs under the gate instead of animals

Species boardEnter mission M122Foundation

Leaves on the cuttings

a school garden club stripping stems for a leaf-print project

Species boardEnter mission M123Explorer

Counting the dominant plants

34×n=d\frac{3}{4} \times n = d

a plant-breeding trial checking a seed tray against the expected ratio

DNA transcriberEnter mission M124Explorer

Carriers in a population

f×N=nf \times N = n

a conservation team estimating carriers of a recessive allele in a managed herd

Species boardEnter mission