Prokaryotic vs Eukaryotic Cells
Chapter 2.2 — Prokaryotic vs Eukaryotic Cells
Level 4 — Application (Novel/Unseen Problems)
Time Limit: 60 minutes Total Marks: 50
Answer all questions. Show all working for calculations.
Question 1 (10 marks)
A microbiologist isolates an unknown single-celled organism from a hot spring. Under the electron microscope she records the following observations:
- No membrane-bound nucleus; a single circular DNA molecule
- A rigid outer wall that does NOT contain peptidoglycan
- 70S ribosomes
- No mitochondria, but the cell survives in low-oxygen conditions
- A single whip-like appendage used for movement
(a) State, with two justifications drawn from the data above, whether this organism is prokaryotic or eukaryotic. (3)
(b) The wall lacks peptidoglycan. Explain one consequence this has for treating an infection caused by such an organism with a penicillin-type antibiotic. (2)
(c) Name the "whip-like appendage" and briefly describe how the prokaryotic version differs structurally from a eukaryotic one. (3)
(d) Explain why the presence of 70S ribosomes is significant when comparing this cell to a human liver cell. (2)
Question 2 (12 marks)
The endosymbiotic theory proposes that mitochondria and chloroplasts originated from free-living prokaryotes engulfed by a host cell.
(a) A student claims: "If the theory is true, mitochondria should share features with bacteria, not with the host cell's own structures." List three distinct pieces of evidence found in modern mitochondria that support this claim, explaining why each supports endosymbiosis. (6)
(b) Chloroplasts are found in plant cells but not animal cells. Propose an explanation, based on endosymbiotic theory, for why the chloroplast lineage and mitochondrion lineage differ in their distribution across the eukaryotes. (3)
(c) A newly discovered organelle is found to have a single membrane and ribosomes identical to those in the host cytoplasm. Evaluate whether this organelle is likely to have arisen by endosymbiosis. (3)
Question 3 (12 marks)
A cell can be modelled as a cube. Assume all exchange of nutrients and waste occurs across the surface, while demand is proportional to volume.
(a) For a cube of side length , derive an expression for the surface-area-to-volume (SA:V) ratio in terms of . (3)
(b) Complete the ratio for cubes of side and , and state which cube is better supplied by diffusion. (3)
(c) A cell requires a minimum SA:V ratio of to survive. Calculate the maximum side length this cell can reach before it must divide. (3)
(d) Some large cells (e.g. intestinal epithelial cells) survive despite large volumes. Suggest and explain one structural adaptation that allows this. (3)
Question 4 (10 marks)
The table below shows partial data for three cells labelled X, Y and Z.
| Feature | Cell X | Cell Y | Cell Z |
|---|---|---|---|
| Cell wall | Present (cellulose) | Absent | Present (peptidoglycan) |
| Nucleus | Present | Present | Absent |
| Chloroplasts | Present | Absent | Absent |
| Large central vacuole | Present | Absent | Absent |
| Typical diameter | 40 µm | 20 µm | 2 µm |
(a) Identify each cell type (plant, animal, or bacterial) and justify each identification with one feature. (6)
(b) Cell X and Cell Y are both eukaryotic. State two structures you would expect to find in BOTH that are absent from Cell Z. (2)
(c) Predict which cell would divide most rapidly under ideal conditions and justify your answer using an SA:V argument. (2)
Question 5 (6 marks)
A pharmaceutical company wants to design an antibiotic that kills bacteria without harming human cells.
(a) Identify two distinct structural or biochemical targets present in bacterial cells but absent (or different) in human cells that could be exploited. (4)
(b) For ONE of your chosen targets, explain the biological consequence for the bacterium if the drug disables it. (2)
Answer keyMark scheme & solutions
Question 1 (10 marks)
(a) Prokaryotic (1). Justifications (any two, 1 each): no membrane-bound nucleus / DNA is a single circular molecule (not linear chromosomes in a nucleus); 70S ribosomes are characteristic of prokaryotes (eukaryotes have 80S cytoplasmic ribosomes); lacks membrane-bound organelles such as mitochondria. (3) Why: identification must be tied to defining prokaryotic features, not generic statements.
(b) Penicillins inhibit the synthesis/cross-linking of peptidoglycan in the bacterial cell wall (1). Since this organism's wall lacks peptidoglycan, penicillin would have no target and would be ineffective (1). (2) (This mirrors real Archaea/atypical bacteria.)
(c) Flagellum (1). Prokaryotic flagellum: made of the protein flagellin, rotates like a rigid propeller driven by a proton-motive-force motor, and is NOT enclosed by the cell membrane (1). Eukaryotic flagellum: has a 9+2 microtubule arrangement, is membrane-bound, and beats/whips rather than rotating (1). (3)
(d) 70S ribosomes differ from the human cell's 80S cytoplasmic ribosomes (1). This difference allows antibiotics to target bacterial protein synthesis selectively, and confirms the organism is not eukaryotic (1). (2)
Question 2 (12 marks)
(a) Any three, 2 marks each (1 for evidence, 1 for reasoning):
- Own circular DNA independent of the nucleus — resembles the bacterial genome, suggesting an ancestral free-living cell.
- 70S ribosomes (bacterial type) rather than 80S — mitochondria synthesise some of their own proteins using bacterial machinery.
- Double membrane — the inner membrane is thought to be the original bacterial membrane, the outer from the host's engulfing vesicle.
- Binary-fission-like self-replication — divide independently of the host cell, like bacteria. (Max 6.)
(b) Under endosymbiosis, chloroplasts arose from engulfed photosynthetic prokaryotes (cyanobacteria) in a separate, later event than the mitochondrial ancestor (aerobic bacterium) (1). Only the lineage of cells that acquired the cyanobacterial endosymbiont became photosynthetic; this lineage gave rise to plants/algae (1). Animals descended from a lineage that never acquired the chloroplast, so they retain mitochondria but lack chloroplasts (1). (3)
(c) Unlikely to be endosymbiotic (1). A single membrane argues against engulfment (which predicts a double membrane) (1), and host-identical ribosomes indicate it uses the host's protein-synthesis machinery rather than its own bacterial-type ribosomes — so it lacks the hallmarks of a former free-living prokaryote (1). (3)
Question 3 (12 marks)
(a) Surface area of cube ; Volume (1). SA:V (2). (3)
(b)
- : (1)
- : (1)
- The cube has the higher ratio and is better supplied by diffusion (1). (3)
(c) Set (2). Maximum side length (1). (3)
(d) Any valid adaptation (1) + explanation (2), e.g. microvilli / membrane folds increase surface area without greatly increasing volume, restoring a high SA:V so exchange keeps pace with demand. (Alternatively: elongated/flattened shape, or many small compartments.) (3)
Question 4 (10 marks)
(a) (Identity 1, justification 1 each = 6)
- X = plant cell — has cellulose wall + chloroplasts + large central vacuole (any one).
- Y = animal cell — eukaryotic (nucleus present) but no wall, no chloroplasts, no large vacuole.
- Z = bacterial cell — no nucleus and peptidoglycan wall; small (2 µm). (6)
(b) Any two of: nucleus/nuclear envelope, mitochondria, endoplasmic reticulum, Golgi apparatus, 80S ribosomes, membrane-bound organelles generally. (2)
(c) Cell Z (bacterial) (1). It is smallest (2 µm) so has the highest SA:V ratio → most efficient nutrient/waste exchange → supports rapid metabolism and division (1). (2)
Question 5 (6 marks)
(a) Any two, 2 marks each: peptidoglycan cell wall (absent in human cells); 70S ribosomes (human cytoplasmic ribosomes are 80S); bacterial DNA gyrase / topoisomerase enzymes; bacterial folic-acid synthesis pathway (humans obtain folate from diet); circular DNA replication machinery. (4)
(b) Example (2): disabling peptidoglycan synthesis → wall cannot be built/maintained → cell cannot resist internal osmotic pressure → water enters and the cell lyses (bursts) and dies. (Accept: blocking 70S ribosomes halts protein synthesis → bacterium cannot grow/replicate.) (2)
[
{"claim": "SA:V ratio of a cube equals 6/L", "code": "L=symbols('L',positive=True); SA=6*L**2; V=L**3; result = simplify(SA/V - 6/L)==0"},
{"claim": "Cube of side 2 um gives SA:V = 3 /um", "code": "result = Rational(6,2)==3"},
{"claim": "Cube of side 8 um gives SA:V = 0.75 /um", "code": "result = Rational(6,8)==Rational(3,4)"},
{"claim": "Maximum side length for SA:V of 1.5 is 4 um", "code": "L=symbols('L',positive=True); sol=solve(Eq(6/L, Rational(3,2)), L); result = sol[0]==4"}
]