In simple terms
A friendly intro before the formal notes — no formulas yet.
The Cell: A City Within
A cell is not a simple blob — it is an organised space where different jobs happen in different places. A cell's structure is a direct clue to its function, and its size is limited by a simple geometric fact: as things get bigger, their outside grows more slowly than their inside.
Picture a small village with a single shared fire pit and everyone working in one open space — that is a prokaryotic cell, simple and fast. Now picture a modern city with dedicated districts: a power station (mitochondrion), workshops that build proteins (ribosomes and rough ER), a packaging-and-postal depot (Golgi apparatus), and a walled city hall holding all the master plans (nucleus). Dividing the work into separate districts lets the city run many jobs at once without them interfering — that is compartmentalisation in a eukaryotic cell. And just as a city can only supply as many people as its roads can feed, a cell can only survive if its surface can supply the volume inside it.
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First, fix the ground rules — cell theory — and see why every organism is built from cells.
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Next, separate the two great classes of cell: simple prokaryotes with no membrane-bound organelles, and compartmentalised eukaryotes.
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Then learn the organelles by their jobs, and note which ones distinguish a plant cell from an animal cell.
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Finally, master the two quantitative skills examiners test: calculating magnification and actual size from a scale bar, and using the surface-area-to-volume ratio to explain why cells cannot grow indefinitely large.
Explore the concept
Use the live diagram and synced steps — play it or tap a step card to walk through.
Key formulas
Tap any symbol to reveal exactly what it means and its units.
$V ratio} = \frac{\text{surface area}}{\text{volume}}$
Tap a symbol — great for exam definitions
Full topic notes
Formal explanation with the rigour you need for the exam.
Cell theory
Cell theory is the founding generalisation of biology, built up from centuries of microscope observations. It has three tenets: all living organisms are composed of one or more cells; the cell is the smallest unit of life; and all cells arise from pre-existing cells by division. The theory is supported by the observation that no smaller unit than a cell shows all the functions of life, and that spontaneous generation was disproved — cells only ever come from other cells. A few atypical cases stretch the definition rather than break it: skeletal muscle fibres are single cells with many nuclei, giant algae can be enormous, and fungal hyphae can have continuous cytoplasm — useful examples to know, but the three tenets remain the answer examiners expect.
All living organisms are composed of one or more cells.
The cell is the smallest unit of life — it shows all the functions of life.
All cells arise from pre-existing cells by division.
Atypical examples (multinucleate muscle fibres, giant algae, fungal hyphae) test the limits of the theory but do not overturn it.
Prokaryotic versus eukaryotic cell structure
All cells share four features: a plasma membrane, cytoplasm, ribosomes and DNA. The great divide is what a cell does with that DNA and whether it compartmentalises its interior. Prokaryotic cells (bacteria and archaea) are small and simple: their single circular chromosome of 'naked' DNA lies free in the cytoplasm in a region called the nucleoid, and they have NO membrane-bound organelles at all. Their ribosomes are the smaller 70S type, and outside the plasma membrane they have a cell wall (peptidoglycan in bacteria), sometimes a protective capsule, hair-like pili for attachment, and perhaps a flagellum for movement. Eukaryotic cells (plants, animals, fungi and protists) are larger and defined by compartmentalisation: their DNA is enclosed in a membrane-bound nucleus, and the cytoplasm is divided by internal membranes into organelles, each providing specialised conditions for a particular job. This division of labour lets incompatible reactions run at once and raises overall efficiency.
Shared by all cells: plasma membrane, cytoplasm, ribosomes, DNA.
Prokaryotic: no membrane-bound organelles; DNA free in the nucleoid; 70S ribosomes; cell wall of peptidoglycan; small (typically 1–5 μm).
Eukaryotic: DNA in a membrane-bound nucleus; membrane-bound organelles (compartmentalisation); 80S ribosomes in the cytoplasm; larger (typically 10–100 μm).
Compartmentalisation keeps incompatible processes separate and increases efficiency — the defining advantage of eukaryotic organisation.
The main organelles and their functions
The single most useful habit in this topic is to link each organelle to its job, because exam questions rarely ask 'what is this?' — they ask 'what does it do?' or 'how is its structure adapted to its function?'. Work through the organelles below as a set of structure-function pairs.
Nucleus: stores DNA and controls cell activities; bounded by a double membrane (nuclear envelope) with pores; contains the nucleolus, which makes ribosomes.
Ribosomes: site of protein synthesis; found in ALL cells, free in the cytoplasm or on rough ER (80S in eukaryotic cytoplasm, 70S in prokaryotes, mitochondria and chloroplasts).
Rough endoplasmic reticulum (rER): studded with ribosomes; synthesises and modifies proteins for secretion or for membranes.
Smooth endoplasmic reticulum (sER): no ribosomes; synthesises lipids and steroids and detoxifies substances.
Golgi apparatus: modifies, sorts and packages proteins and lipids into vesicles for secretion or delivery.
Mitochondrion: site of aerobic respiration and ATP production; double membrane, inner membrane folded into cristae; has its own 70S ribosomes and DNA.
Chloroplast (plant/algal cells only): site of photosynthesis; double membrane; contains thylakoids (with chlorophyll) and stroma; own 70S ribosomes and DNA.
Vacuole: membrane-bound sac; in plants, one large central vacuole stores cell sap and maintains turgor pressure.
Cell wall: rigid layer outside the plasma membrane giving shape and support (cellulose in plants, peptidoglycan in bacteria); absent in animal cells.
Plasma membrane: partially permeable phospholipid bilayer present in every cell; controls what enters and leaves.
Differences between plant and animal cells
Plant and animal cells are both eukaryotic and share the nucleus, mitochondria, ribosomes, endoplasmic reticulum, Golgi apparatus and plasma membrane. What sets them apart is a small, specific list. Plant cells have a cellulose cell wall, chloroplasts and a large permanent central vacuole; animal cells have none of these, but often contain centrioles (used in cell division) and only small, temporary vacuoles. The trap to avoid is over-generalising from one difference: an animal cell lacks a cell WALL, but it still has a plasma membrane — losing that distinction is a classic dropped mark.
Only in plant cells: cellulose cell wall, chloroplasts, large permanent central vacuole.
Typically in animal cells: centrioles; small temporary vacuoles; no wall and no chloroplasts.
In both: nucleus, mitochondria, ribosomes, rough and smooth ER, Golgi apparatus, plasma membrane.
An animal cell has NO cell wall but DOES have a plasma membrane — keep the two structures distinct.
Microscopy: calculating magnification and actual size
Micrographs come with either a stated magnification or, more often, a scale bar — a short line labelled with the real length it represents. You must be able to move between three quantities: the image size (what you measure with a ruler), the actual size (the real size of the structure) and the magnification (how many times larger the image is). They are linked by a single formula, and the one rule that decides most marks is that image size and actual size must be in the same unit before you divide.
Rearranged, actual size = image size ÷ magnification. Magnification is a ratio and has no units. Remember the unit ladder: 1 mm = 1000 μm and 1 μm = 1000 nm, so it is usually easiest to convert every length to micrometres (μm) before substituting.
Always show your working on calculation questions, even when the answer looks obvious. Marks are commonly split between stating the formula, converting units correctly and completing the arithmetic — so a slip in one step still leaves the others creditable under error-carried-forward. Write the formula, convert to a common unit, substitute, then give the answer (with 'x' for magnification, or a unit for a size).
Surface-area-to-volume ratio and the limit on cell size
Everything a cell needs — oxygen, nutrients, and the removal of wastes and heat — must cross its surface, the plasma membrane. But the demand for those exchanges depends on how much living material there is, which is set by the cell's volume. The problem is geometric: as a cell grows, its volume increases faster than its surface area, so the surface-area-to-volume ratio (SA:V) falls. Beyond a certain size the membrane simply cannot supply the interior fast enough, and the cell cannot survive. This is why cells stay small and divide rather than swell, and why exchange surfaces in organisms are folded and flattened to keep SA:V high. The quickest way to see it is with cubes.
Common mistakes examiners penalise
Dividing before converting units — image and actual size must be in the SAME unit before you apply the magnification formula; a missed mm→μm step throws the answer out by a factor of 1000.
Getting the magnification formula upside down — magnification = image ÷ actual. Dividing actual by image gives a value less than 1 for a magnified image, which should ring an alarm.
Putting a unit on magnification — magnification is a ratio and has no units; write it as, for example, 4000× (not 4000 μm).
Reversing the SA:V trend — the ratio DECREASES as a cell gets larger. Saying it increases with size reverses the whole argument.
Explaining SA:V with only half the story — you must state that exchange depends on surface area while demand depends on volume; quoting the ratio without this link earns little credit.
Saying prokaryotes have 'no organelles' — they lack MEMBRANE-BOUND organelles, but they do have ribosomes (70S). Ribosomes are found in all cells.
Claiming an animal cell 'has no membrane' — it lacks a cell WALL, not the plasma membrane; every cell has a plasma membrane.
Naming an organelle instead of its function — 'mitochondrion' is not an answer to 'what does this do?'; the mark is for the JOB (aerobic respiration / ATP production).
Confusing chloroplast with mitochondrion — chloroplasts do photosynthesis and are only in plant/algal cells; mitochondria do aerobic respiration and are in nearly all eukaryotic cells.
Model answer — marked the way our engine marks it
A2.2 explanation questions are marked analytically: each distinct valid biological point is worth one mark, up to the maximum available. Method-style reasoning points are credited as they appear, an accuracy/answer mark (A) rewards the correct conclusion, and error-carried-forward (ECF) means an early slip does not cost you the marks that follow, as long as your reasoning is written down. Notice below how every mark is pinned to a specific, named idea — not to loose phrasing.
Where this leads
The ideas in A2.2 seed much of the course ahead. The structure-function pairing of organelles sets up membrane transport and the endomembrane pathway of protein secretion; the prokaryote-eukaryote divide underpins classification and the endosymbiotic origin of mitochondria and chloroplasts; and the surface-area-to-volume argument reappears wherever biology needs an efficient exchange surface — the folded villi of the gut, the branching alveoli of the lungs, the flattened red blood cell. Master the habit of reading structure as a clue to function, and of checking whether a size problem is really a surface-area-to-volume problem, and you have a template that keeps paying off across the whole syllabus.
Worked examples
See the formulas applied — reveal one step at a time, like the exam.
The diagram of a cell shows a rigid outer layer, a large fluid-filled central sac and several green disc-shaped organelles. State whether this is a plant or animal cell, and give TWO functions carried out by the labelled organelles: (a) the green disc-shaped organelles, (b) the large central sac. [3]
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Identifying the cell. The rigid outer layer (cell wall), the large central vacuole and the green organelles (chloroplasts) are all features unique to plant cells, so this is a PLANT cell. [A1: correctly identifies plant cell, justified by any of these features]
An electron micrograph carries a scale bar labelled 5 μm. The scale bar measures 20 mm long on the page. A chloroplast in the same image measures 32 mm across. (a) Calculate the magnification of the image. (b) Calculate the actual width of the chloroplast. [4]
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(a) Magnification from the scale bar. Convert the image length of the scale bar to the same unit as its real length: 20 mm = 20 000 μm. . [M1: correct unit conversion; A1: 4000×]
Model three cells as cubes of side length 1 cm, 2 cm and 4 cm. Calculate the surface area, volume and surface-area-to-volume ratio of each, and explain what the trend shows about cell size. [4]
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For a cube of side : surface area = (six faces), volume = .
Explain, with reference to the surface-area-to-volume ratio, why cells cannot grow indefinitely large. [4]
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Model answer. As a cell grows larger, its volume increases faster than its surface area, so its surface-area-to-volume ratio decreases. The rate at which a cell can exchange materials (take in nutrients and oxygen, remove wastes) depends on the area of its surface membrane, whereas the cell's demand for those materials depends on its volume. Because volume outgrows surface area, a large cell has proportionally too little membrane to supply its interior. Beyond a certain size the surface can no longer meet the demands of the volume, so the cell cannot survive — this sets an upper limit on cell size, which is why cells stay small and divide rather than continue to enlarge.
How it all connects
The big idea sits in the middle — tap a linked idea to explore the link.
Tap a linked idea to see how it connects back to the main topic — that connection is what examiners reward.
Glossary
Try to recall each definition before you reveal it.
Quick check
Answer in your head first — then tap to check. No pressure.
Revision flashcards
Flip the card. Test yourself before the exam.
Cell theory (three tenets)
- All living organisms are composed of one or more cells. 2) The cell is the smallest unit of life. 3) All cells arise from pre-existing cells (by division). These are the founding generalisations of cell biology.
Key takeaways
Review these before you close the topic — retrieval beats re-reading.
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All living organisms are composed of one or more cells.
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The cell is the smallest unit of life — it shows all the functions of life.
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All cells arise from pre-existing cells by division.
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Atypical examples (multinucleate muscle fibres, giant algae, fungal hyphae) test the limits of the theory but do not overturn it.
Practice — then mark it
The whole point: a real Cambridge question, marked mark-by-mark.
Get a Paper 2 question marked: calculate magnification and actual size from a scale bar, work out an SA:V ratio, and explain the limit on cell size with full working.
Get a Paper 2 question marked: calculate magnification and actual size from a scale bar, work out an SA:V ratio, and explain the limit on cell size with full working.
Extra simulations & links
PhET, GeoGebra and other curated tools — open in a new tab.
Frequently asked
Checkpoint
One marked question is worth ten re-reads — close the loop before you move on.
Reading it isn’t knowing it — prove it.
Before you move on: do Get a Paper 2 question marked: calculate magnification and actual size from a scale bar, work out an SA:V ratio, and explain the limit on cell size with full working. on paper, snap a photo, and get examiner-style feedback on exactly where you win and lose marks.