GCE O/L Science study materials
GCE O/L Science study resources

GCE O/L Science cheat sheet

GCE O/L Science · Keep the key ideas within reach.

Quick reference

Biology: cells, transport and biological molecules

  • Cell organelles: nucleus (genetic material), cytoplasm (metabolic reactions), cell membrane (selective permeability), mitochondria (aerobic respiration), chloroplasts (photosynthesis, plant cells only), cell wall (cellulose, plant cells only), vacuole (plant cells, maintains turgor).

  • Prokaryotic cells (bacteria) lack a nucleus and membrane-bound organelles; eukaryotic cells (plants, animals, fungi, protoctists) have a nucleus and organelles.

  • Diffusion: net movement of particles from high to low concentration down a concentration gradient; passive, no energy required; rate increases with steeper gradient, higher temperature, larger surface area, shorter distance.

  • Osmosis: diffusion of water through a partially permeable membrane from a dilute solution (high water potential) to a concentrated solution (low water potential); animal cells may lyse or shrink, plant cells become turgid or plasmolysed.

  • Active transport: movement of ions or molecules against a concentration gradient using energy from ATP and carrier proteins; example: mineral uptake by root hair cells.

  • Biological molecules: carbohydrates (C, H, O; e.g., glucose C6H12O6, starch, cellulose), proteins (C, H, O, N; amino acids), lipids (C, H, O; glycerol + fatty acids), vitamins and minerals.

  • Food tests: starch with iodine solution (blue-black), reducing sugar with Benedict's solution (brick-red on heating), protein with Biuret reagent (purple), lipid with ethanol emulsion test (cloudy white).

  • Enzymes are biological catalysts (proteins) that lower activation energy; they are specific to substrates; activity is affected by temperature (denaturation above optimum) and pH (optimum varies: pepsin acidic, trypsin alkaline).

  • Surface area to volume ratio decreases as cells get larger; exchange surfaces (alveoli, villi, root hairs) have large area, thin walls, good blood supply and ventilation to maximise diffusion.

Quick reference

Biology: nutrition, respiration and gas exchange

  • Photosynthesis equation: 6CO2 + 6H2O → C6H12O6 + 6O2 (light energy absorbed by chlorophyll; occurs in chloroplasts).

  • Limiting factors of photosynthesis: light intensity, CO2 concentration, temperature; graphs show plateau when another factor becomes limiting.

  • Leaf adaptations: large surface area, thin, transparent cuticle and epidermis, palisade mesophyll rich in chloroplasts, spongy mesophyll with air spaces, stomata for gas exchange, vascular bundles for transport.

  • Aerobic respiration: C6H12O6 + 6O2 → 6CO2 + 6H2O + energy (ATP); occurs mainly in mitochondria; releases more energy per glucose than anaerobic respiration.

  • Anaerobic respiration in humans: glucose → lactic acid + small energy; in yeast: glucose → ethanol + CO2 + small energy (fermentation).

  • Human digestive system: ingestion, digestion (mechanical and chemical), absorption in small intestine villi, assimilation, egestion; enzymes: amylase (starch→maltose), protease (protein→amino acids), lipase (lipids→glycerol + fatty acids).

  • Balanced diet components: carbohydrates (energy), proteins (growth and repair), lipids (energy storage, insulation), vitamins (A, C, D), minerals (calcium, iron), water, dietary fibre (prevents constipation).

  • Gas exchange in humans: alveoli have large surface area, thin walls (one cell thick), moist lining, good blood supply; ventilation moves air in and out; breathing controlled by diaphragm and intercostal muscles.

  • Plant gas exchange: stomata open in light for CO2 uptake and O2 release; guard cells regulate opening; lenticels in stems allow gas exchange.

Quick reference

Biology: transport systems, excretion and homeostasis

  • Blood components: red blood cells (haemoglobin transports O2), white blood cells (defence), platelets (clotting), plasma (transports dissolved substances, hormones, CO2, urea).

  • Blood vessels: arteries (thick muscular walls, carry blood away from heart, high pressure), veins (valves, carry blood to heart, low pressure), capillaries (one-cell-thick walls, exchange).

  • Human heart: double circulation; right side pumps deoxygenated blood to lungs (pulmonary circuit), left side pumps oxygenated blood to body (systemic circuit); valves prevent backflow.

  • Transpiration: loss of water vapour from leaves through stomata; rate increased by high temperature, low humidity, high light intensity, wind; cohesion-tension pulls water up xylem.

  • Translocation: movement of sucrose and amino acids in phloem from sources (leaves) to sinks (roots, fruits, growing points).

  • Excretion: removal of metabolic waste; lungs excrete CO2, kidneys excrete urea and excess water/ions as urine, skin excretes sweat (water, salts, urea).

  • Nephron: filtration in glomerulus, selective reabsorption of glucose, some ions and water in proximal tubule, urine formation; ADH controls water reabsorption.

  • Homeostasis: maintenance of constant internal environment; negative feedback regulates body temperature (37 °C), blood glucose (insulin lowers, glucagon raises), water balance (ADH).

  • Thermoregulation: vasodilation and sweating cool the body; vasoconstriction, shivering and hair erection conserve heat.

Quick reference

Biology: reproduction, inheritance and variation

  • Asexual reproduction produces genetically identical offspring (clones) from one parent; sexual reproduction involves gametes and produces genetic variation.

  • Human reproductive system: testes produce sperm and testosterone; ovaries produce eggs and oestrogen; fertilisation in oviduct; implantation in uterus; placenta exchanges nutrients and wastes.

  • Menstrual cycle: FSH stimulates egg maturation, oestrogen repairs uterus lining, LH triggers ovulation, progesterone maintains lining; approximately 28 days.

  • Plant reproduction: flower parts (sepals, petals, stamens, carpel); pollination transfers pollen; fertilisation forms zygote; seeds disperse by wind, water, animals; germination needs water, oxygen, suitable temperature.

  • DNA is a double helix of nucleotides; a gene is a section of DNA coding for a protein; chromosomes occur in pairs (23 pairs in humans).

  • Mitosis produces two genetically identical diploid cells for growth and repair; meiosis produces four haploid gametes with genetic variation (crossing over, independent assortment).

  • Genetics: dominant and recessive alleles; genotype (alleles present) vs phenotype (observable characteristic); homozygous/heterozygous; Punnett squares predict offspring ratios (e.g., 3:1).

  • Sex determination: human female XX, male XY; sex-linked characteristics carried on X chromosome (e.g., red-green colour blindness).

  • Variation: genetic (caused by genes, mutation, meiosis) and environmental (diet, exercise, climate); natural selection acts on variation; mutations are random changes in DNA.

Quick reference

Biology: ecology, environment and human influence

  • Ecosystem = community (all living organisms) + habitat (physical environment); population = all organisms of one species in an area.

  • Food chains and webs show feeding relationships; arrows show direction of energy flow; producers (plants) convert light energy to chemical energy; consumers are primary, secondary, tertiary.

  • Energy transfer between trophic levels is inefficient (~10% passed on); energy lost as heat, movement, excretion, uneaten parts; pyramids of biomass/numbers represent trophic levels.

  • Carbon cycle: photosynthesis removes CO2; respiration, combustion and decomposition release CO2; fossil fuels store carbon.

  • Water cycle: evaporation, transpiration, condensation, precipitation, run-off; nitrogen cycle: nitrogen fixation, decomposition, nitrification, denitrification.

  • Biotic factors: competition, predation, disease, food availability; abiotic factors: light, temperature, water, pH, oxygen, soil type.

  • Human impact: deforestation, pollution (air, water, land), greenhouse gases (CO2, methane) cause global warming; eutrophication from fertiliser run-off; acid rain from sulfur dioxide.

  • Conservation: protected areas, recycling, renewable energy, sustainable fishing, captive breeding; indicator species (lichens for air quality, mayfly larvae for clean water).

  • Population growth: birth rate, death rate, immigration, emigration; carrying capacity limited by resources; competition and predation regulate populations.

Quick reference

Chemistry: atomic structure, bonding and the periodic table

  • Atom: nucleus (protons + neutrons) surrounded by electrons in shells; atomic number = number of protons; mass number = protons + neutrons; isotopes have same protons, different neutrons.

  • Electron configuration: shells fill 2, 8, 8, ...; group number = outer shell electrons; period number = number of shells.

  • Ionic bond: transfer of electrons from metal to non-metal forming oppositely charged ions (e.g., NaCl); high melting points, conduct when molten/aqueous.

  • Covalent bond: sharing of electron pairs between non-metals; simple molecular substances have low melting points; giant covalent structures (diamond, graphite, silicon dioxide) have high melting points.

  • Metallic bonding: positive ions in a sea of delocalised electrons; explains conductivity, malleability and ductility.

  • Periodic table: metals on left, non-metals on right; group 1 alkali metals (reactive, form +1 ions), group 7 halogens (form -1 ions), group 0 noble gases (unreactive, full outer shell).

  • Group trends: reactivity increases down group 1 (outer electron lost more easily), decreases down group 7 (electron gained less easily).

  • Ion charges: group 1 +1, group 2 +2, group 3 +3, group 5 -3, group 6 -2, group 7 -1; transition metals form variable charges (e.g., Fe2+, Fe3+, Cu2+).

  • Relative atomic mass (Ar) is the average mass of isotopes relative to 1/12 of carbon-12; relative formula mass (Mr) is sum of Ar of atoms in formula.

Quick reference

Chemistry: chemical reactions, stoichiometry and the mole

  • Chemical equations must be balanced; state symbols (s), (l), (g), (aq) indicate physical state.

  • Mole = amount of substance containing 6.02 × 10^23 particles (Avogadro constant); molar mass = mass of one mole in g/mol.

  • Formulas: moles n = m / M; concentration c = n / V (V in dm³); gas volume at room temperature and pressure: 1 mol occupies 24 dm³.

  • Percentage yield = (actual yield / theoretical yield) × 100; atom economy = (Mr of desired product / sum of Mr of reactants) × 100.

  • Reaction types: combination, decomposition, displacement (more reactive metal displaces less reactive), neutralisation (acid + base → salt + water), combustion, redox (oxidation = loss of electrons, reduction = gain).

  • Exothermic reactions release energy (temperature rises); endothermic absorb energy (temperature falls); activation energy is minimum energy for reaction; catalysts lower activation energy.

  • Rates of reaction increased by higher temperature, higher concentration, larger surface area, catalyst; collisions must have sufficient energy.

  • Empirical formula from percentage composition; molecular formula = empirical formula × n; water of crystallisation can be determined by heating.

  • Limiting reactant determines maximum product; excess reactant remains after reaction.

Quick reference

Chemistry: acids, bases, salts and qualitative analysis

  • Acid: proton (H+) donor; base: proton acceptor; strong acids (HCl, HNO3, H2SO4) fully ionise; weak acids (ethanoic acid) partially ionise.

  • pH scale 0–14: pH < 7 acidic, pH 7 neutral, pH > 7 alkaline; universal indicator colours (red, orange, yellow, green, blue, purple).

  • Neutralisation: acid + base → salt + water; acid + metal → salt + hydrogen; acid + carbonate → salt + water + carbon dioxide.

  • Salt preparation: soluble salts by acid + excess insoluble base/carbonate or titration; insoluble salts by precipitation (mixing two solutions).

  • Tests: hydrogen (lighted splint pops), oxygen (relights glowing splint), carbon dioxide (limewater milky), chlorine (bleaches damp litmus), ammonia (turns damp red litmus blue).

  • Flame tests: lithium crimson, sodium yellow, potassium lilac, calcium orange-red, copper blue-green.

  • Precipitation tests: chloride + silver nitrate → white precipitate; sulfate + barium chloride → white precipitate; carbonate + acid → CO2.

  • Indicators: litmus (red in acid, blue in alkali), methyl orange (red in acid, yellow in alkali), phenolphthalein (colourless in acid, pink in alkali).

  • Acid strength vs concentration: strength is degree of ionisation; concentration is amount of acid per volume; pH measures H+ concentration.

Quick reference

Chemistry: metals, non-metals and organic chemistry

  • Reactivity series (decreasing): potassium, sodium, calcium, magnesium, aluminium, zinc, iron, tin, lead, copper, silver, gold; metals above carbon extracted by electrolysis, below by reduction with carbon.

  • Metal properties: good conductors of heat and electricity, malleable, ductile, high melting points; alloys (e.g., steel, brass) are harder than pure metals.

  • Corrosion: rusting of iron requires oxygen and water; prevented by painting, oiling, galvanising (zinc coating), sacrificial protection.

  • Extraction of iron in blast furnace: iron ore (haematite), coke, limestone; coke reduces iron oxide; limestone removes impurities as slag.

  • Non-metals: carbon (diamond, graphite, graphene, fullerenes), oxygen, nitrogen, sulfur, chlorine; properties vary; noble gases are inert.

  • Hydrocarbons: alkanes (single bonds, general formula CnH2n+2, e.g., methane, ethane, propane, butane); alkenes (double bond, CnH2n, e.g., ethene) are unsaturated and decolourise bromine water.

  • Crude oil is separated by fractional distillation based on boiling points; fractions used as fuels and feedstock.

  • Polymers: addition polymerisation of alkenes (e.g., polyethene); condensation polymerisation forms nylon, PET; plastics are non-biodegradable causing environmental issues.

  • Combustion of hydrocarbons: complete combustion gives CO2 + H2O; incomplete gives CO (toxic) and soot; greenhouse gases and acid rain from sulfur impurities.

Quick reference

Physics: mechanics, forces and motion

  • Speed = distance / time; velocity is speed in a given direction; acceleration = change in velocity / time taken (m/s²).

  • Distance-time graph: gradient = speed; velocity-time graph: gradient = acceleration, area under graph = distance travelled.

  • Newton's laws: (1) object remains at rest or uniform motion unless acted on by resultant force; (2) F = m × a; (3) action and reaction forces equal and opposite.

  • Weight = mass × gravitational field strength (W = m × g; g ≈ 10 N/kg on Earth); mass is amount of matter (kg), weight is force (N).

  • Friction opposes motion; air resistance increases with speed; terminal velocity reached when air resistance equals weight.

  • Moments: moment = force × perpendicular distance from pivot; principle of moments: sum of clockwise moments = sum of anticlockwise moments for equilibrium.

  • Pressure = force / area (Pa = N/m²); pressure in liquids increases with depth and density (P = ρgh); atmospheric pressure decreases with height.

  • Hooke's law: extension is directly proportional to applied force up to the limit of proportionality (F = kx).

  • Centre of mass: point where weight acts; stability increased by lower centre of mass and wider base.

Quick reference

Physics: energy, waves, light and sound

  • Energy stores: kinetic (½mv²), gravitational potential (mgh), elastic potential, chemical, thermal, nuclear; energy is conserved but can be transferred usefully or dissipated.

  • Work done = force × distance moved in direction of force (W = F × d); power = work done / time (P = W/t); efficiency = useful output / total input × 100%.

  • Wave equation: speed = frequency × wavelength (v = fλ); frequency in hertz (Hz), wavelength in metres.

  • Transverse waves (light, water waves) oscillate perpendicular to direction of travel; longitudinal waves (sound) oscillate parallel; sound needs a medium, light does not.

  • Reflection: angle of incidence = angle of reflection; refraction: change of speed at boundary, bending towards normal when entering denser medium.

  • Lenses: convex lens converges light (real images), concave diverges; focal length; real images can be projected, virtual cannot.

  • Dispersion: white light splits into spectrum through prism because different colours refract by different amounts; red least, violet most.

  • Sound: produced by vibrations, travels faster in solids than gases, cannot travel through vacuum; pitch depends on frequency, loudness on amplitude.

  • Electromagnetic spectrum (increasing frequency): radio, microwave, infrared, visible, ultraviolet, X-rays, gamma rays; all travel at speed of light in vacuum.

Quick reference

Physics: electricity, magnetism and thermal physics

  • Current = charge / time (I = Q/t); potential difference = energy transferred per unit charge (V = W/Q); resistance = voltage / current (R = V/I).

  • Ohm's law: current through a conductor is proportional to voltage across it at constant temperature (ohmic conductors); filament lamp and diode are non-ohmic.

  • Series circuits: same current, voltages add, total resistance = sum of resistances; parallel circuits: same voltage, currents add, reciprocal resistance formula.

  • Electrical power: P = VI = I²R = V²/R; energy transferred = power × time (E = Pt); domestic electricity measured in kilowatt-hours (kWh).

  • Magnetism: like poles repel, unlike attract; magnetic field lines from north to south; electromagnet formed by current-carrying coil with iron core; strength increased by more turns, higher current.

  • Motor effect: force on current-carrying conductor in magnetic field (F = BIL sinθ); direction given by Fleming's left-hand rule; electric motor converts electrical to kinetic energy.

  • Electromagnetic induction: changing magnetic field induces voltage; generator converts kinetic to electrical; transformers change AC voltage (Vp/Vs = Np/Ns).

  • Heat transfer: conduction (solids, particle vibrations), convection (fluids, density changes), radiation (infrared, no medium needed); dark, matt surfaces emit and absorb more radiation.

  • Specific heat capacity: energy = mass × specific heat capacity × temperature change (E = mcΔT); latent heat: energy to change state without temperature change (E = mL).