An original Thinka practice paper modelled on the structure and difficulty of the Jun 2025 (V1) Cambridge International A Level Science - Combined (0653) paper. Not affiliated with or reproduced from Cambridge.
Paper 21 (Extended MCQ)
Answer all forty multiple-choice questions. For each question, choose the single correct option from A, B, C, or D.
40 Question · 40 marks
Question 1 · multiple-choice
1 marks
The activity of catalase is measured by collecting the volume of oxygen gas produced in one minute. At 20 °C, 15 cm³ of oxygen is produced. At 35 °C, 38 cm³ of oxygen is produced. At 60 °C, no oxygen is produced. Which statement explains these results?
A.At 35 °C, the enzyme is completely denatured.
B.At 60 °C, the kinetic energy of the substrate and enzyme is at its maximum.
C.At 60 °C, the active site of catalase has changed shape so the substrate can no longer fit.
D.At 20 °C, the active site of the enzyme is permanently blocked by inhibitor molecules.
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Worked solution
At 60 °C, the high temperature has denatured the catalase enzyme. Denaturation changes the shape of the active site, meaning the substrate (hydrogen peroxide) can no longer fit or bind to it, and no reaction takes place. At 35 °C, the enzyme is highly active as it is near the optimum temperature, and at 20 °C, it is active but slower due to lower kinetic energy.
Marking scheme
1 mark for identifying that denaturation at 60 °C changes the active site shape, preventing substrate binding.
Question 2 · multiple-choice
1 marks
What is the relative formula mass (Mr) of ammonium sulfate, (NH4)2SO4? [Relative atomic masses: H = 1, N = 14, O = 16, S = 32]
A.114
B.118
C.132
D.140
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Worked solution
The relative formula mass is calculated by adding the relative atomic masses of all atoms present in the formula: Mr = (14 + (4 * 1)) * 2 + 32 + (4 * 16) = (18 * 2) + 32 + 64 = 36 + 32 + 64 = 132.
Marking scheme
1 mark for the correct calculation showing 132.
Question 3 · multiple-choice
1 marks
A toy car accelerates from rest to a constant speed of 4.0 m/s in 3.0 s. It then travels at this constant speed for another 5.0 s. What is the total distance traveled by the car?
A.16 m
B.20 m
C.26 m
D.32 m
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Worked solution
The distance can be found using the area under a speed-time graph. First part (acceleration): area of a triangle = 0.5 * base * height = 0.5 * 3.0 s * 4.0 m/s = 6.0 m. Second part (constant speed): area of a rectangle = base * height = 5.0 s * 4.0 m/s = 20 m. Total distance = 6.0 m + 20 m = 26 m.
Marking scheme
1 mark for calculating the two components of distance (6.0 m and 20 m) and adding them to get 26 m.
Question 4 · multiple-choice
1 marks
A plant cell is placed in a concentrated salt solution. Which row correctly describes what happens to the cell and the net movement of water?
A.Water enters the cell by osmosis; the cell becomes turgid.
B.Water enters the cell by osmosis; the cell becomes plasmolysed.
C.Water leaves the cell by osmosis; the cell becomes turgid.
D.Water leaves the cell by osmosis; the cell becomes plasmolysed.
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Worked solution
A concentrated salt solution has a lower water potential than the cytoplasm/cell sap of a plant cell. Therefore, water moves out of the cell down the water potential gradient by osmosis. As water leaves, the vacuole shrinks and the cell membrane pulls away from the cell wall, making the cell plasmolysed.
Marking scheme
1 mark for identifying that water leaves the cell and the cell becomes plasmolysed.
Question 5 · multiple-choice
1 marks
An unknown solid X is added to dilute hydrochloric acid. A gas is evolved which turns limewater cloudy, and a blue solution is formed. What is solid X?
A.copper(II) carbonate
B.copper(II) hydroxide
C.iron(II) carbonate
D.zinc carbonate
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Worked solution
The evolution of a gas that turns limewater cloudy indicates the presence of carbon dioxide, which means solid X is a carbonate. The formation of a blue solution indicates the presence of copper(II) ions in solution. Therefore, solid X must be copper(II) carbonate.
Marking scheme
1 mark for identifying copper(II) carbonate based on gas and solution tests.
Question 6 · multiple-choice
1 marks
A 6.0 V battery is connected in series with a resistor of resistance 2.0 ohms and a parallel combination of two 4.0 ohms resistors. What is the total current flowing from the battery?
A.0.6 A
B.1.0 A
C.1.5 A
D.3.0 A
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Worked solution
First, find the equivalent resistance of the two 4.0 ohm resistors in parallel: 1/Rp = 1/4 + 1/4 = 2/4 = 1/2, so Rp = 2.0 ohms. Next, calculate the total resistance of the series circuit: Rtotal = 2.0 ohms (series resistor) + 2.0 ohms (parallel combination) = 4.0 ohms. Finally, use Ohm's law to find the total current: I = V / Rtotal = 6.0 V / 4.0 ohms = 1.5 A.
Marking scheme
1 mark for correctly calculating the total equivalent resistance (4.0 ohms) and using Ohm's law to get 1.5 A.
Question 7 · multiple-choice
1 marks
Which statement correctly distinguishes between ethane and ethene?
A.Ethane decolourises aqueous bromine rapidly, whereas ethene does not.
B.Ethane has a double covalent bond between carbon atoms, whereas ethene has only single bonds.
C.Ethene can undergo addition polymerisation to form poly(ethene), whereas ethane cannot.
D.Ethane is an unsaturated hydrocarbon, whereas ethene is a saturated hydrocarbon.
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Worked solution
Ethene is an alkene containing a carbon-carbon double bond, which allows it to undergo addition polymerisation to form poly(ethene). Ethane is an alkane with only single bonds (saturated) and cannot undergo addition polymerisation. Options A, B, and D are incorrect because they reverse the properties of alkanes and alkenes.
Marking scheme
1 mark for identifying that ethene can undergo addition polymerisation while ethane cannot.
Question 8 · multiple-choice
1 marks
Which statement correctly describes all electromagnetic waves in a vacuum?
A.They travel at the speed of sound.
B.They are longitudinal waves.
C.They travel at a speed of 3.0 * 10^8 m/s.
D.Their wavelength increases as frequency increases.
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Worked solution
All electromagnetic waves are transverse waves that travel at the speed of light (3.0 * 10^8 m/s) in a vacuum. As frequency increases, wavelength decreases according to the wave equation v = f * lambda.
Marking scheme
1 mark for selecting the correct constant speed of electromagnetic waves in a vacuum.
Question 9 · multiple-choice
1 marks
An investigation is carried out on the digestion of starch by amylase at three different temperatures: \(10\text{ }^\circ\text{C}\), \(35\text{ }^\circ\text{C}\), and \(80\text{ }^\circ\text{C}\). Samples of the mixtures are tested with iodine solution every minute. Which row correctly shows the expected results for the time taken for starch to be completely digested?
A.At \(10\text{ }^\circ\text{C}\): 15 minutes; At \(35\text{ }^\circ\text{C}\): 3 minutes; At \(80\text{ }^\circ\text{C}\): Starch is not digested
B.At \(10\text{ }^\circ\text{C}\): 3 minutes; At \(35\text{ }^\circ\text{C}\): 15 minutes; At \(80\text{ }^\circ\text{C}\): 3 minutes
C.At \(10\text{ }^\circ\text{C}\): Starch is not digested; At \(35\text{ }^\circ\text{C}\): 3 minutes; At \(80\text{ }^\circ\text{C}\): 15 minutes
D.At \(10\text{ }^\circ\text{C}\): 15 minutes; At \(35\text{ }^\circ\text{C}\): Starch is not digested; At \(80\text{ }^\circ\text{C}\): 3 minutes
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Worked solution
At \(10\text{ }^\circ\text{C}\), the enzyme and substrate molecules have low kinetic energy, meaning fewer successful collisions, resulting in a slow reaction rate (takes a relatively long time, e.g., 15 minutes). At \(35\text{ }^\circ\text{C}\), the temperature is near the optimum for amylase, so the rate of reaction is high and digestion is fast (takes a short time, e.g., 3 minutes). At \(80\text{ }^\circ\text{C}\), the high temperature denatures the active site of the amylase enzyme. As a result, the enzyme can no longer bind to starch, and starch is not digested at all.
Marking scheme
1 mark for the correct option (A). Distractors test common misconceptions: Option B incorrectly suggests enzymes work fastest at low temperatures; Option C incorrectly suggests enzymes are completely inactive/denatured at low temperatures; Option D suggests the enzyme is denatured at the optimum temperature.
Question 10 · multiple-choice
1 marks
Which row correctly describes the structural features and direction of blood flow for arteries, veins, and capillaries?
A.Arteries: thick muscle/elastic walls, narrow lumen, flow away from heart; Veins: thin walls, wide lumen with valves, flow towards heart; Capillaries: walls one cell thick, very narrow lumen, link arteries and veins
B.Arteries: thin walls, wide lumen with valves, flow away from heart; Veins: thick muscle/elastic walls, narrow lumen, flow towards heart; Capillaries: walls one cell thick, very narrow lumen, link arteries and veins
C.Arteries: thick muscle/elastic walls, narrow lumen, flow towards heart; Veins: thin walls, wide lumen with valves, flow away from heart; Capillaries: walls one cell thick, very narrow lumen, link arteries and veins
D.Arteries: thin walls, wide lumen with valves, flow towards heart; Veins: thick muscle/elastic walls, narrow lumen, flow away from heart; Capillaries: walls one cell thick, very narrow lumen, link arteries and veins
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Worked solution
Arteries carry blood away from the heart under high pressure, so they have thick, muscular, and elastic walls with a narrow lumen. Veins carry blood towards the heart under low pressure, so they have thinner walls, a wider lumen, and valves to prevent backflow. Capillaries are sites of substance exchange, having walls only one cell thick to minimize diffusion distance.
Marking scheme
1 mark for the correct option (A). Options B, C, and D confuse the structural specifications (wall thickness and presence of valves) or the directions of blood flow between arteries and veins.
Question 11 · multiple-choice
1 marks
Which row correctly identifies the site of human sperm production, the site of fertilization, and the structure in which the fetus normally develops?
A.Sperm production: testis; Fertilization: oviduct; Development of fetus: uterus
B.Sperm production: urethra; Fertilization: uterus; Development of fetus: oviduct
C.Sperm production: testis; Fertilization: uterus; Development of fetus: vagina
D.Sperm production: scrotum; Fertilization: oviduct; Development of fetus: ovary
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Worked solution
In humans, sperm cells are produced in the testes (testis). Fertilization (the fusion of the nuclei of the male and female gametes) occurs in the oviduct. The zygote then divides to form an embryo, which implants and develops as a fetus in the uterus.
Marking scheme
1 mark for the correct option (A). Option B incorrectly lists the urethra as the site of production and the oviduct as the site of development. Option C incorrectly lists the vagina as the site of development. Option D incorrectly identifies the scrotum as the site of sperm production and the ovary as the site of development.
Question 12 · multiple-choice
1 marks
A nitride ion has the chemical formula \(\text{N}^{3-}\). The atomic number (proton number) of nitrogen is 7, and its mass number (nucleon number) is 14. Which row shows the correct number of protons, neutrons, and electrons in this nitride ion?
A.Protons: 7; Neutrons: 7; Electrons: 10
B.Protons: 7; Neutrons: 7; Electrons: 4
C.Protons: 10; Neutrons: 7; Electrons: 7
D.Protons: 7; Neutrons: 14; Electrons: 10
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Worked solution
The atomic number is 7, so there are 7 protons. The mass number is 14, so the number of neutrons is \(14 - 7 = 7\). The \(\text{N}^{3-}\) ion has a charge of \(3-\), which means it has gained 3 electrons compared to a neutral nitrogen atom. Therefore, the number of electrons is \(7 + 3 = 10\).
Marking scheme
1 mark for the correct option (A). Option B incorrectly subtracts electrons instead of adding them. Option C confuses protons and electrons. Option D incorrectly uses the mass number (14) as the neutron number.
Question 13 · multiple-choice
1 marks
A long-chain alkane with the molecular formula \(\text{C}_{10}\text{H}_{22}\) is cracked. The products of this reaction are one molecule of ethene, one molecule of propene, and one molecule of a hydrocarbon X.
What is the molecular formula of X, and to which homologous series does it belong?
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Worked solution
The equation for the cracking reaction is: \[\text{C}_{10}\text{H}_{22} \rightarrow \text{C}_2\text{H}_4 + \text{C}_3\text{H}_6 + \text{X}\] To balance the carbon atoms: \(10 - 2 - 3 = 5\). To balance the hydrogen atoms: \(22 - 4 - 6 = 12\). Therefore, the molecular formula of X is \(\text{C}_5\text{H}_{12}\). Since it fits the general formula \(\text{C}_n\text{H}_{2n+2}\), it belongs to the alkane homologous series.
Marking scheme
1 mark for the correct option (A). Option B incorrectly suggests \(\text{C}_5\text{H}_{10}\) is formed. Option C has the correct formula but incorrectly classifies it as an alkene. Option D has an incorrect formula and incorrectly classifies it as an alkane.
Question 14 · multiple-choice
1 marks
A package of mass \(40.0\text{ kg}\) is pulled up a smooth slope of length \(10.0\text{ m}\) to a vertical height of \(3.00\text{ m}\). This process takes \(5.00\text{ s}\). The acceleration of free fall, \(g\), is \(10.0\text{ m/s}^2\).
What is the average useful power required to raise the package?
A.240 W
B.800 W
C.24.0 W
D.1200 W
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Worked solution
The useful work done is equal to the gain in gravitational potential energy (\(\Delta E_p\)) of the package, which depends only on the vertical height raised: \[\Delta E_p = mgh = 40.0\text{ kg} \times 10.0\text{ m/s}^2 \times 3.00\text{ m} = 1200\text{ J}\] The average useful power (\(P\)) is the work done divided by the time taken: \[P = \frac{\text{Work Done}}{\text{time}} = \frac{1200\text{ J}}{5.00\text{ s}} = 240\text{ W}\]
Marking scheme
1 mark for the correct option (A). Distractors test common errors: Option B incorrectly uses the slope distance instead of the vertical height; Option C forgets to multiply by \(g\); Option D is the total work done (1200 J) without dividing by time.
Question 15 · multiple-choice
1 marks
Two resistors, with resistances of \(4.0\ \Omega\) and \(12.0\ \Omega\), are connected in parallel. This combination is then connected in series with a \(5.0\ \Omega\) resistor and a \(12.0\text{ V}\) direct current (d.c.) power supply. What is the total current drawn from the power supply?
A.1.5 A
B.0.57 A
C.4.0 A
D.2.4 A
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Worked solution
First, calculate the equivalent resistance of the two parallel resistors (\(R_p\)): \[\frac{1}{R_p} = \frac{1}{4.0} + \frac{1}{12.0} = \frac{3}{12.0} + \frac{1}{12.0} = \frac{4}{12.0} = \frac{1}{3.0}\text{ }\Omega^{-1}\] So, \(R_p = 3.0\ \Omega\). Next, find the total resistance of the circuit (\(R_{\text{total}}\)) by adding the series resistor: \[R_{\text{total}} = R_p + 5.0\ \Omega = 3.0\ \Omega + 5.0\ \Omega = 8.0\ \Omega\] Finally, calculate the total current (\(I\)) using Ohm's law: \[I = \frac{V}{R_{\text{total}}} = \frac{12.0\text{ V}}{8.0\text{ }\Omega} = 1.5\text{ A}\]
Marking scheme
1 mark for the correct option (A). Option B is based on simply adding all resistors in series (21.0 \(\Omega\)). Option C is based on omitting the series resistor (using only 3.0 \(\Omega\)). Option D is based on incorrectly treating the parallel network as having a combined resistance of 16.0 \(\Omega\) to get a total of 21.0 \(\Omega\) then dividing wrongly.
Question 16 · multiple-choice
1 marks
A sound wave travels through air with a frequency of \(4.0\text{ kHz}\) and a speed of \(340\text{ m/s}\). It then enters a pool of water, where its speed increases to \(1500\text{ m/s}\).
What are the frequency and wavelength of this sound wave when traveling through the water?
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Worked solution
The frequency of a wave is determined by its source and does not change when the wave transitions from one medium to another. Thus, the frequency in water remains \(4.0\text{ kHz} = 4000\text{ Hz}\). The wavelength (\(\lambda\)) in water can be calculated using the wave equation \(v = f \lambda\): \[\lambda = \frac{v}{f} = \frac{1500\text{ m/s}}{4000\text{ Hz}} = 0.375\text{ m}\]
Marking scheme
1 mark for the correct option (A). Option B incorrectly uses the wavelength in air (0.085 m). Option C incorrectly assumes the wavelength stays constant and calculates an increased frequency. Option D incorrectly scales the frequency down and calculates an incorrect wavelength.
Question 17 · multiple-choice
1 marks
The rate of an enzyme-controlled reaction is measured at different temperatures. Which statement explains why the rate of reaction decreases rapidly at temperatures above 40 °C?
A.The kinetic energy of the substrate molecules decreases.
B.The enzyme molecules are denatured and the shape of their active sites is altered.
C.The activation energy of the reaction is reduced by the enzyme.
D.The substrate concentration becomes the limiting factor.
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Worked solution
At temperatures above the optimum (around 40 °C), the high thermal energy causes the bonds holding the three-dimensional structure of the enzyme to break. This alters the shape of the active site (denaturing) so that the substrate can no longer fit. Thus, the rate of reaction drops rapidly.
Marking scheme
[1 mark] - Correctly identifies that high temperatures denature enzymes by changing the shape of the active site.
Question 18 · multiple-choice
1 marks
Which row correctly matches a blood vessel with its structural features and the direction of blood flow?
A.artery | thick muscular wall, narrow lumen | away from the heart
B.vein | thin muscular wall, narrow lumen | towards the heart
C.artery | thin muscular wall, wide lumen | away from the heart
D.vein | thick muscular wall, wide lumen | towards the heart
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Worked solution
Arteries have thick muscular and elastic walls to withstand high blood pressure, a relatively narrow lumen, and carry blood away from the heart. Veins have thinner walls, a wider lumen, and carry blood towards the heart.
Marking scheme
[1 mark] - Correctly identifies an artery's thick muscular wall, narrow lumen, and direction of flow away from the heart.
Question 19 · multiple-choice
1 marks
Which row correctly compares human sperm cells with human egg cells?
A.sperm cell: smaller, mobile, millions produced | egg cell: larger, immobile, one (or very few) produced
B.sperm cell: larger, mobile, millions produced | egg cell: smaller, immobile, millions produced
C.sperm cell: smaller, immobile, millions produced | egg cell: larger, mobile, one (or very few) produced
D.sperm cell: larger, immobile, one (or very few) produced | egg cell: smaller, mobile, millions produced
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Worked solution
Sperm cells are much smaller than egg cells, have a flagellum that makes them mobile, and are produced in millions. Egg cells are large (containing energy stores), immobile, and are typically released one at a time during the menstrual cycle.
Marking scheme
[1 mark] - Correct comparison of size, mobility, and relative number of male and female gametes.
Question 20 · multiple-choice
1 marks
An atom of isotope X has a proton number of 17 and a nucleon number of 37. An atom of isotope Y has a proton number of 17 and a nucleon number of 35. Which statement about these two isotopes is correct?
A.An atom of X contains two more neutrons than an atom of Y.
B.An atom of X contains two more electrons than an atom of Y.
C.Isotope X and isotope Y have different chemical properties.
D.Isotope X and isotope Y are atoms of different elements.
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Worked solution
Both X and Y have 17 protons. The number of neutrons in X is 37 - 17 = 20. The number of neutrons in Y is 35 - 17 = 18. Therefore, X has two more neutrons than Y. Since they have the same proton number, they are the same element, have the same number of electrons (17), and identical chemical properties.
Marking scheme
[1 mark] - Correctly calculates the number of neutrons for both isotopes and identifies that X has two more neutrons than Y.
Question 21 · multiple-choice
1 marks
Which statement correctly describes a difference between ethane and ethene?
A.Ethene rapidly decolourises aqueous bromine, whereas ethane does not.
B.Ethane has a double carbon-carbon covalent bond, whereas ethene has only single bonds.
C.Ethane is an unsaturated hydrocarbon, whereas ethene is saturated.
D.Ethane can undergo addition polymerisation to form poly(ethane).
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Worked solution
Ethene is an alkene (unsaturated, contains a C=C double bond) and reacts rapidly with aqueous bromine to decolourise it. Ethane is an alkane (saturated, single bonds only) and does not react with aqueous bromine under normal conditions. Ethene, not ethane, can undergo addition polymerisation to form poly(ethene).
Marking scheme
[1 mark] - Identifies that ethene decolourises aqueous bromine because it is unsaturated, unlike ethane.
Question 22 · multiple-choice
1 marks
A student prepares a pure sample of hydrated copper(II) sulfate crystals by reacting excess insoluble copper(II) oxide with hot dilute sulfuric acid. Why is the copper(II) oxide added in excess?
A.To ensure that all of the sulfuric acid is fully neutralised.
B.To act as a catalyst to increase the rate of reaction.
C.To increase the rate at which the crystals subsequently form.
D.To prevent the copper(II) sulfate from decomposing.
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Worked solution
Adding an excess of the insoluble reactant (copper(II) oxide) ensures that all of the acid is fully neutralised. The unreacted copper(II) oxide can then be easily filtered off, leaving a pure solution of copper(II) sulfate.
Marking scheme
[1 mark] - Identifies that adding an excess of insoluble reactant ensures the acid is completely reacted.
Question 23 · multiple-choice
1 marks
A constant horizontal force of 12 N pushes a 4.0 kg box along a frictionless, horizontal floor. The box starts from rest and is pushed through a distance of 6.0 m. What is the work done on the box and its final kinetic energy?
A.work done = 72 J | kinetic energy = 72 J
B.work done = 72 J | kinetic energy = 18 J
C.work done = 24 J | kinetic energy = 24 J
D.work done = 24 J | kinetic energy = 12 J
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Worked solution
Work done is calculated using the formula: \(W = F \times d = 12\text{ N} \times 6.0\text{ m} = 72\text{ J}\). Since the floor is frictionless and there are no other energy transfers, all of the work done is transferred into kinetic energy. Therefore, the final kinetic energy of the box is also 72 J.
Marking scheme
[1 mark] - Calculates work done as 72 J and identifies that the final kinetic energy is also 72 J.
Question 24 · multiple-choice
1 marks
A 3.0 \(\Omega\) resistor and a 6.0 \(\Omega\) resistor are connected in parallel across a 6.0 V battery. What is the total current drawn from the battery?
A.3.0 A
B.1.0 A
C.0.67 A
D.9.0 A
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Worked solution
First, calculate the current through each parallel branch: \(I_1 = \frac{V}{R_1} = \frac{6.0\text{ V}}{3.0\ \Omega} = 2.0\text{ A}\) and \(I_2 = \frac{V}{R_2} = \frac{6.0\text{ V}}{6.0\ \Omega} = 1.0\text{ A}\). The total current drawn is the sum of the currents in each branch: \(I_{\text{total}} = I_1 + I_2 = 2.0\text{ A} + 1.0\text{ A} = 3.0\text{ A}\). Alternatively, find the combined resistance of the parallel pair first: \(\frac{1}{R_p} = \frac{1}{3.0} + \frac{1}{6.0} = \frac{3}{6.0}\) which gives \(R_p = 2.0\ \Omega\). Then, \(I_{\text{total}} = \frac{V}{R_p} = \frac{6.0\text{ V}}{2.0\ \Omega} = 3.0\text{ A}\).
Marking scheme
[1 mark] - Correctly calculates individual currents or combined resistance to find a total current of 3.0 A.
Question 25 · multiple-choice
1 marks
Which cellular structure is present in a palisade mesophyll cell but absent from a root hair cell?
A.chloroplast
B.cell wall
C.large permanent vacuole
D.nucleus zipper structure (nucleus)
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Worked solution
Palisade mesophyll cells are located in leaves and carry out photosynthesis, so they contain chloroplasts. Root hair cells are underground plant cells that absorb water and mineral ions; they do not receive light, so they do not contain chloroplasts. Both types of plant cells contain a cell wall, a large permanent vacuole, and a nucleus.
Marking scheme
[1 mark] A: correct cellular structure (chloroplast) identified as present in palisade cells but absent in root hair cells.
Question 26 · multiple-choice
1 marks
A solid substance is heated until it has completely melted into a liquid. During the melting process, what happens to the temperature of the substance and the arrangement of its particles?
A.The temperature increases and the particles become randomly arranged.
B.The temperature remains constant and the particles change from a regular lattice to a random arrangement.
C.The temperature increases and the particles remain in a fixed, regular lattice.
D.The temperature remains constant and the particles remain in a fixed, regular lattice.
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Worked solution
During melting (a change of state from solid to liquid), the temperature remains constant because the thermal energy supplied is used to overcome the attractive forces holding the particles in their fixed positions, rather than increasing their average kinetic energy. The particles change from a highly ordered, regular lattice in the solid to a randomly arranged, fluid state in the liquid.
Marking scheme
[1 mark] B: correctly states that temperature is constant during a phase change and the regular lattice breaks down into a random arrangement.
Question 27 · multiple-choice
1 marks
A crane lifts a load of mass \(200\text{ kg}\) vertically upwards through a height of \(15\text{ m}\) in a time of \(6.0\text{ s}\). The acceleration of free fall, \(g\), is \(10\text{ N/kg}\). What is the average useful power output of the crane?
A.500 W
B.3000 W
C.5000 W
D.30000 W
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Worked solution
First, find the work done (which equals the gain in gravitational potential energy): \(W = m \times g \times h = 200\text{ kg} \times 10\text{ N/kg} \times 15\text{ m} = 30000\text{ J}\). Next, find the useful power output: \(P = \frac{W}{t} = \frac{30000\text{ J}}{6.0\text{ s}} = 5000\text{ W}\).
Marking scheme
[1 mark] C: calculated correctly using \(P = \frac{mgh}{t}\).
Question 28 · multiple-choice
1 marks
Which statement best describes the effect of high temperatures (above \(60\!^\circ\text{C}\)) on enzyme activity?
A.The kinetic energy of the substrate decreases, reducing the rate of collisions.
B.The shape of the active site changes permanently, so the substrate can no longer fit.
C.The activation energy of the reaction decreases, making the reaction stop.
D.The enzyme molecules are completely broken down into individual amino acids.
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Worked solution
High temperatures cause the weak bonds holding the three-dimensional structure of the enzyme to break. This alters the shape of the active site permanently (denaturation), preventing the substrate from binding.
Marking scheme
[1 mark] B: correctly identifies that denaturation involves a permanent change in the shape of the active site, preventing substrate binding.
Question 29 · multiple-choice
1 marks
An atom of an isotope of chlorine is represented as \({}_{17}^{37}\text{Cl}\). What is the composition of the nucleus of this atom?
A.17 protons and 20 neutrons
B.17 protons and 20 electrons
C.20 protons and 17 neutrons
D.37 protons and 17 neutrons
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Worked solution
For the representation \({}_{Z}^{A}\text{X}\), \(Z\) is the proton number (atomic number) and \(A\) is the nucleon number (mass number). Here, the number of protons in the nucleus is 17. The number of neutrons in the nucleus is \(A - Z = 37 - 17 = 20\). The nucleus contains only protons and neutrons; electrons are located in shells orbiting the nucleus.
Marking scheme
[1 mark] A: correct number of protons and neutrons identified as the only constituents of the nucleus.
Question 30 · multiple-choice
1 marks
Which list shows electromagnetic waves in order of increasing wavelength?
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Worked solution
In the electromagnetic spectrum, moving from gamma rays to radio waves corresponds to decreasing frequency and increasing wavelength. Therefore, gamma rays (shortest wavelength) < X-rays < ultraviolet < visible light (longest wavelength of the four).
Marking scheme
[1 mark] A: Correctly orders the electromagnetic waves from shortest wavelength to longest wavelength.
Question 31 · multiple-choice
1 marks
Dilute hydrochloric acid is added to a flask containing solid calcium carbonate. The gas produced is bubbled through a test-tube containing limewater. What are the observations in the flask and the test-tube containing limewater?
A.Flask: bubbles of gas seen; Limewater: turns cloudy
B.Flask: bubbles of gas seen; Limewater: remains colorless
C.Flask: no visible change; Limewater: turns cloudy
D.Flask: no visible change; Limewater: remains colorless
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Worked solution
The reaction between dilute hydrochloric acid (an acid) and calcium carbonate (a metal carbonate) produces calcium chloride, water, and carbon dioxide gas. The production of carbon dioxide gas causes effervescence (bubbles of gas seen) in the flask. Carbon dioxide turns limewater cloudy (milky) when bubbled through it.
Marking scheme
[1 mark] A: identifies both the effervescence in the flask and the cloudiness of limewater as positive observations.
Question 32 · multiple-choice
1 marks
A charge of \(180\text{ C}\) passes through a resistor in a time of \(3.0\text{ minutes}\). What is the current in the resistor?
A.1.0 A
B.60 A
C.540 A
D.32400 A
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Worked solution
Current is calculated using the formula: \(I = \frac{Q}{t}\). The time must be converted from minutes to seconds: \(3.0\text{ minutes} = 3.0 \times 60 = 180\text{ s}\). Substituting the values: \(I = \frac{180\text{ C}}{180\text{ s}} = 1.0\text{ A}\).
Marking scheme
[1 mark] A: Correct calculation including conversion of minutes to seconds.
Question 33 · Multiple Choice
1 marks
A student uses a light microscope to compare a palisade mesophyll cell from a plant leaf and a liver cell from a mammal. Which structures are present in both of these cells?
A.cell membrane, cytoplasm and nucleus
B.cell membrane, cell wall and cytoplasm
C.cell membrane, chloroplast and vacuole
D.cytoplasm, nucleus and permanent vacuole
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Worked solution
Palisade mesophyll cells (plant) and liver cells (animal) both contain a cell membrane, cytoplasm, and a nucleus. Animal cells lack cell walls, chloroplasts, and large permanent vacuoles.
Marking scheme
1 mark for identifying the correct combination of structures common to both plant and animal cells.
Question 34 · Multiple Choice
1 marks
An enzyme-catalysed reaction is carried out at different temperatures. At \(60~^{\circ}\text{C}\), the rate of reaction drops to zero because the enzyme is denatured. Which statement describes what happens to the enzyme at this temperature?
A.The active site changes shape so the substrate can no longer fit into it.
B.The kinetic energy of the enzyme and substrate molecules decreases to zero.
C.The bonds between amino acids are strengthened, making the enzyme too rigid.
D.The enzyme molecules are completely broken down into individual glucose molecules.
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Worked solution
Denaturation of an enzyme involves a change in the shape of its active site, preventing the substrate from fitting and reacting. Enzymes are proteins, not carbohydrates, so they do not break down into glucose. Kinetic energy increases with temperature rather than decreasing to zero.
Marking scheme
1 mark for identifying that denaturation involves the permanent change of the active site shape.
Question 35 · Multiple Choice
1 marks
Copper(II) sulfate crystals are prepared by reacting excess insoluble copper(II) oxide with hot dilute sulfuric acid. Which sequence of steps produces pure, dry crystals of copper(II) sulfate?
A.react \(\rightarrow\) filter \(\rightarrow\) heat filtrate to crystallisation point \(\rightarrow\) cool, filter and dry crystals
B.react \(\rightarrow\) heat mixture to dryness \(\rightarrow\) filter \(\rightarrow\) wash with water
C.filter reactant mixture \(\rightarrow\) react filtrate \(\rightarrow\) evaporate to dryness
D.react \(\rightarrow\) filter \(\rightarrow\) evaporate all water immediately \(\rightarrow\) wash with sulfuric acid
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Worked solution
First, react the excess insoluble copper(II) oxide with dilute sulfuric acid. Filter the mixture to remove the unreacted copper(II) oxide. Heat the filtrate (copper(II) sulfate solution) to evaporate some water until the crystallisation point is reached. Allow it to cool so crystals form, then filter and dry the crystals.
Marking scheme
1 mark for the correct, logical chemical preparation sequence starting with reaction, followed by filtration, crystallisation, and drying.
Question 36 · Multiple Choice
1 marks
Two liquid hydrocarbons, X and Y, are tested with aqueous bromine. Hydrocarbon X rapidly decolourises the orange bromine water. Hydrocarbon Y does not decolourise the bromine water. Which statement about X and Y is correct?
A.X is an unsaturated hydrocarbon (alkene) and Y is a saturated hydrocarbon (alkane).
B.X is a saturated hydrocarbon (alkane) and Y is an unsaturated hydrocarbon (alkene).
C.Both X and Y are saturated hydrocarbons.
D.X is methane and Y is ethene.
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Worked solution
Unsaturated hydrocarbons (alkenes) contain double bonds and react with aqueous bromine, causing it to decolourise. Saturated hydrocarbons (alkanes) do not react with bromine water under normal conditions.
Marking scheme
1 mark for correctly matching decolourisation with alkenes (unsaturated) and no reaction with alkanes (saturated).
Question 37 · Multiple Choice
1 marks
A toy car starts from rest and accelerates uniformly for \(10\ \text{s}\) until it reaches a speed of \(20\ \text{m/s}\). It then travels at this constant speed of \(20\ \text{m/s}\) for a further \(15\ \text{s}\). What is the total distance travelled by the car during this \(25\ \text{s}\) journey?
A.300 m
B.400 m
C.500 m
D.200 m
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Worked solution
The distance is the area under the speed-time graph. Phase 1 (acceleration): Area of triangle = 0.5 * base * height = 0.5 * 10 s * 20 m/s = 100 m. Phase 2 (constant speed): Area of rectangle = base * height = 15 s * 20 m/s = 300 m. Total distance = 100 m + 300 m = 400 m.
Marking scheme
1 mark for using the area under a speed-time graph to correctly calculate total distance as 400 m.
Question 38 · Multiple Choice
1 marks
A battery of electromotive force (e.m.f.) \(6.0\ \text{V}\) is connected to a parallel combination of two \(12\ \Omega\) resistors. What is the total current leaving the battery?
A.0.25 A
B.0.50 A
C.1.0 A
D.4.0 A
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Worked solution
First, find the combined resistance of the two parallel resistors: 1/Rp = 1/12 + 1/12 = 2/12, which gives Rp = 6 ohms. Next, apply Ohm's law to find the current: I = V / Rp = 6.0 V / 6 ohms = 1.0 A.
Marking scheme
1 mark for calculating parallel resistance (6 ohms) and applying V = IR to find the current (1.0 A).
Question 39 · Multiple Choice
1 marks
A group of plant cells is placed in a concentrated salt solution. What is the direction of net water movement, and what happens to the appearance of the cells?
A.Water moves out of the cells, and the cell membrane pulls away from the cell wall (plasmolysis).
B.Water moves into the cells, causing them to swell and burst.
C.Water moves into the cells, making them turgid.
D.There is no net movement of water, and the cells remain unchanged.
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Worked solution
A concentrated salt solution has a lower water potential than the cytoplasm of the plant cells. Water therefore moves out of the cells by osmosis, down a water potential gradient, through the partially permeable cell membrane. This causes the cytoplasm to shrink and the cell membrane to pull away from the cell wall (plasmolysis).
Marking scheme
1 mark for identifying both correct net water direction (out of the cells) and the resulting state (plasmolysis).
Question 40 · Multiple Choice
1 marks
Chlorine, bromine and iodine are elements in Group VII of the Periodic Table. Which statement describes the trends in colour and reactivity as the group is descended from chlorine to iodine?
A.The colour becomes darker and the reactivity decreases.
B.The colour becomes lighter and the reactivity increases.
C.The colour becomes darker and the reactivity increases.
D.The colour becomes lighter and the reactivity decreases.
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Worked solution
As you go down Group VII: 1. The colour of the elements gets darker (chlorine is a pale green gas, bromine is a red-brown liquid, iodine is a grey-black solid). 2. Reactivity decreases because the atomic radius increases, making it harder for the nucleus to attract and gain an incoming electron.
Marking scheme
1 mark for identifying that colour becomes darker and reactivity decreases down Group VII.
Paper 41 (Extended Theory)
Answer all structured questions. Show clear working for all numerical calculations and state appropriate units.
9 Question · 79.92 marks
Question 1 · Structured Open
8.88 marks
A student investigates the effect of temperature on the rate of starch breakdown by the enzyme amylase.
(a) Describe how the student would test for the presence of starch and state the positive result.
(b) Explain, in terms of kinetic energy and collision theory, why the rate of reaction increases as the temperature is raised from \(20^\circ\text{C}\) to \(40^\circ\text{C}\).
(c) Explain why the rate of reaction decreases rapidly at temperatures above \(50^\circ\text{C}\), referring to the structure of the enzyme's active site.
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Worked solution
(a) Iodine test: Iodine solution (yellow/brown) is added. If starch is present, it turns blue-black. (b) Raising the temperature increases the kinetic energy of both amylase and starch molecules. They move faster, leading to a higher frequency of collisions, and a greater proportion of collisions have sufficient energy to react, resulting in a higher rate of reaction. (c) Beyond the optimum temperature (around \(40^\circ\text{C}\) to \(50^\circ\text{C}\)), the enzyme denatures. The thermal energy disrupts the weak bonds that maintain the specific shape of the enzyme, altering the shape of the active site permanently. Consequently, starch can no longer bind to the active site, stopping the catalytic action.
Marking scheme
(a) [2 marks total] - 1 mark: Add iodine solution - 1 mark: Correct positive result (turns blue-black)
(b) [3 marks total] - 1 mark: Molecules gain kinetic energy / move faster - 1 mark: More frequent collisions - 1 mark: More successful/effective collisions (between substrate and active site)
(c) [3 marks total] - 1 mark: Enzyme is denatured (do not accept "killed") - 1 mark: Shape of the active site is altered / changed - 1 mark: Substrate (starch) can no longer fit/bind to the active site
Question 2 · Structured Open
8.88 marks
A student prepares a pure, dry sample of copper(II) sulfate crystals, \(\text{CuSO}_4 \cdot 5\text{H}_2\text{O}\), from copper(II) oxide, \(\text{CuO}\), and dilute sulfuric acid, \(\text{H}_2\text{SO}_4\).
(a) State the type of chemical reaction occurring between copper(II) oxide and sulfuric acid.
(b) Describe why the copper(II) oxide is added in excess and explain how the excess copper(II) oxide is subsequently removed from the reaction mixture.
(c) Describe the practical steps required to obtain pure, dry crystals of copper(II) sulfate from the filtered solution.
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Worked solution
(a) This is a neutralisation reaction where a basic metal oxide reacts with an acid to produce a salt and water: \(\text{CuO} + \text{H}_2\text{SO}_4 \rightarrow \text{CuSO}_4 + \text{H}_2\text{O}\). (b) Excess copper(II) oxide is used to guarantee that no unreacted sulfuric acid remains in the solution, which would otherwise contaminate the crystals during evaporation. Since copper(II) oxide is insoluble in water, the excess solid can easily be removed by filtration, leaving a pure copper(II) sulfate solution as the filtrate. (c) To obtain crystals, the solution is heated to evaporate water until it is saturated (crystallization point). It is then cooled slowly to allow crystals to grow. The crystals are collected by filtration, rinsed with a tiny amount of cold distilled water to remove surface impurities without dissolving the crystals, and dried carefully using filter paper.
(b) [3 marks total] - 1 mark: Excess ensures all the acid reacts / is neutralized - 1 mark: Unreacted copper(II) oxide is insoluble - 1 mark: Removed by filtration
(c) [4 marks total] - 1 mark: Heat/evaporate filtrate to point of crystallization (or heat to evaporate some water) - 1 mark: Cool the solution to allow crystals to form - 1 mark: Filter to isolate/collect the crystals - 1 mark: Wash crystals with a small amount of cold distilled water AND dry with filter paper
Question 3 · Structured Open
8.88 marks
A toy car of mass \(0.50\text{ kg}\) travels along a straight track. From \(t = 0\) to \(t = 4.0\text{ s}\), the car accelerates uniformly from rest to a speed of \(8.0\text{ m/s}\). From \(t = 4.0\text{ s}\) to \(t = 10.0\text{ s}\), it travels at a constant speed of \(8.0\text{ m/s}\).
(a) Calculate the acceleration of the car during the first \(4.0\text{ s}\). State the formula used and show your working.
(b) Calculate the total distance travelled by the car during the entire \(10.0\text{ s}\) journey. Show your working.
(c) Calculate the resultant force acting on the car during the first \(4.0\text{ s}\).
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(a) [3 marks total] - 1 mark: State formula: \(a = \frac{v-u}{t}\) (or change in speed over time) - 1 mark: Correct substitution: \(8.0 / 4.0\) - 1 mark: Correct calculation with unit: \(2.0\text{ m/s}^2\)
(b) [3 marks total] - 1 mark: Recognition that distance is the area under the graph - 1 mark: Calculation of one correct component (triangle = 16 m OR rectangle = 48 m) - 1 mark: Correct total sum: \(64\text{ m}\) (with unit)
(c) [2 marks total] - 1 mark: State formula: \(F = ma\) or correct substitution: \(0.50 \times 2.0\) - 1 mark: Correct answer: \(1.0\text{ N}\) (accept with correct unit)
Question 4 · Structured Open
8.88 marks
The human circulatory system is described as a double circulation system.
(a) Explain what is meant by the term 'double circulation'.
(b) Compare the structure of an artery with the structure of a vein, and explain how these structural differences relate to their functions.
(c) State the name of the blood vessel that carries deoxygenated blood from the heart to the lungs.
(d) State the name of the blood vessel that delivers oxygenated blood directly to the muscle tissues of the heart itself.
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Worked solution
(a) In a double circulatory system, the blood travels in two loops: pulmonary circulation (between the heart and lungs to pick up oxygen) and systemic circulation (between the heart and the rest of the body to deliver oxygen). Therefore, blood passes through the heart twice during one complete circuit of the body. (b) Arteries carry blood away from the heart under high pressure; thus, they require thick walls containing muscle fibers and elastic tissue to stretch and recoil. Their narrow lumen maintains this high pressure. Veins return blood to the heart at much lower pressures, so their walls are thinner, and they have a wider lumen to reduce resistance to flow. Due to low pressure, veins also contain valves to prevent the backflow of blood. (c) The pulmonary artery is the only artery carrying deoxygenated blood, traveling from the right ventricle of the heart to the lungs. (d) The coronary artery branches off the aorta to supply the cardiac muscle cells with oxygenated blood and nutrients required for respiration.
Marking scheme
(a) [2 marks total] - 2 marks: Statement that blood passes through the heart twice for one complete circuit of the body (accept 1 mark for mentioning pulmonary and systemic circuits separately if double pass is implied).
(b) [4 marks total] - 1 mark: Artery has thick/muscular/elastic wall AND vein has thin/less muscular wall. - 1 mark: Artery has narrow lumen AND vein has wide lumen. - 1 mark: Vein has valves (to prevent backflow) AND artery does not have valves. - 1 mark: Relates thickness to resisting high pressure OR relates valves to low pressure / preventing backflow.
(c) [1 mark total] - 1 mark: Pulmonary artery.
(d) [1 mark total] - 1 mark: Coronary artery.
Question 5 · Structured Open
8.88 marks
Iron is extracted from its ore, hematite, inside a blast furnace.
(a) Hematite contains iron(III) oxide, \(\text{Fe}_2\text{O}_3\). Carbon monoxide, \(\text{CO}\), acts as the reducing agent in the furnace. Write a balanced chemical equation for the reduction of iron(III) oxide by carbon monoxide.
(b) Describe the role of limestone (calcium carbonate) in the blast furnace, and write balanced chemical equations to explain how it removes acidic impurities.
(c) Explain, in terms of reactivity, why iron can be extracted from its oxide using carbon, whereas aluminium must be extracted by electrolysis from its oxide.
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Worked solution
(a) The balanced equation is: \(\text{Fe}_2\text{O}_3(s) + 3\text{CO}(g) \rightarrow 2\text{Fe}(l) + 3\text{CO}_2(g)\). (b) Limestone is added to remove sandy impurities (silicon dioxide, \(\text{SiO}_2\)) which would otherwise clog the furnace. Under high temperatures, limestone thermally decomposes: \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\). Calcium oxide (basic) reacts with silicon dioxide (acidic) in a neutralisation reaction to produce molten slag (calcium silicate): \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\). (c) The reactivity series determines extraction methods. Carbon is positioned above iron in the reactivity series, allowing it to displace/reduce iron from its oxide. In contrast, aluminium is more reactive than carbon, meaning carbon is not strong enough to reduce aluminium oxide. Therefore, a more energetic method, electrolysis, is required to break the strong chemical bonds in aluminium oxide.
Marking scheme
(a) [3 marks total] - 1 mark: Correct reactants: \(\text{Fe}_2\text{O}_3\) and \(\text{CO}\), and correct products: \(\text{Fe}\) and \(\text{CO}_2\) - 2 marks: Correct balancing: \(1, 3 \rightarrow 2, 3\) (deduct 1 mark for incorrect balancing but correct formulae)
(b) [3 marks total] - 1 mark: Limestone decomposes to form calcium oxide (\(\text{CaO}\)) / equation: \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\) - 1 mark: Calcium oxide reacts with silicon dioxide/sand (acidic impurity) - 1 mark: Form slag / calcium silicate / equation: \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\)
(c) [2 marks total] - 1 mark: Carbon is more reactive than iron (so can reduce iron oxide) - 1 mark: Aluminium is more reactive than carbon (so carbon cannot reduce aluminium oxide / requires electrolysis)
Question 6 · Structured Open
8.88 marks
A student constructs a circuit with a \(12.0\text{ V}\) power supply connected to three resistors. Two resistors, \(R_1 = 6.0\ \Omega\) and \(R_2 = 12.0\ \Omega\), are connected in parallel with each other. This parallel combination is then connected in series with a third resistor, \(R_3 = 4.0\ \Omega\), and the power supply.
(a) Calculate the combined resistance of the parallel pair, \(R_1\) and \(R_2\).
(b) Show that the total equivalent resistance of the entire circuit is \(8.0\ \Omega\).
(c) Calculate the total current flowing from the power supply.
(d) Calculate the potential difference across the parallel combination of resistors.
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Worked solution
(a) For a parallel circuit, the combined resistance \(R_p\) is given by: \(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{6.0\ \Omega} + \frac{1}{12.0\ \Omega} = \frac{2}{12.0} + \frac{1}{12.0} = \frac{3}{12.0} = \frac{1}{4.0\ \Omega}\). Therefore, \(R_p = 4.0\ \Omega\).
(b) The parallel pair is in series with \(R_3\). For a series connection: \(R_{\text{total}} = R_p + R_3 = 4.0\ \Omega + 4.0\ \Omega = 8.0\ \Omega\).
(d) The total current of \(1.5\text{ A}\) flows through both the parallel combination and the series resistor \(R_3\). The potential difference across the parallel pair is: \(V_p = I \times R_p = 1.5\text{ A} \times 4.0\ \Omega = 6.0\text{ V}\).
Marking scheme
(a) [2 marks total] - 1 mark: Correct formula for parallel resistance (e.g., \(1/R_p = 1/R_1 + 1/R_2\) or \(R_p = (R_1 \times R_2)/(R_1 + R_2)\)) - 1 mark: Correct calculation: \(4.0\ \Omega\) (must include units)
(b) [2 marks total] - 1 mark: State that series resistances add together: \(R_{\text{total}} = R_p + R_3\) - 1 mark: Complete substitution and calculation showing \(4.0 + 4.0 = 8.0\ \Omega\)
(c) [2 marks total] - 1 mark: State formula \(I = V/R\) or correct substitution: \(12.0 / 8.0\) - 1 mark: Correct calculation: \(1.5\text{ A}\) (must include unit)
(d) [2 marks total] - 1 mark: Correct approach (e.g., \(V_p = I \times R_p\) or \(V_p = V_{\text{total}} - I \times R_3\)) - 1 mark: Correct calculation: \(6.0\text{ V}\) (must include unit)
Question 7 · Structured Open
8.88 marks
Chemical digestion and nutrient absorption occur along the human alimentary canal.
(a) State the main site of both chemical digestion and the absorption of nutrients. Describe two structural features of this organ that adapt it for efficient absorption.
(b) Describe the physical role of bile in fat digestion, and explain how this physical process aids chemical digestion by lipase.
(c) Name the chemical element found in proteins that is not present in carbohydrates.
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Worked solution
(a) The small intestine is the main site where digestion is completed and absorption of digested nutrients takes place. Its inner surface is highly folded into finger-like projections called villi (which also possess microvilli), vastly increasing the surface area for absorption. The epithelium of each villus is only one cell thick, which minimizes the diffusion distance. Furthermore, each villus contains a dense capillary network and a lacteal, maintaining a steep concentration gradient by rapidly carrying absorbed nutrients away. (b) Bile is produced in the liver and stored in the gall bladder. It contains bile salts that emulsify fats. Emulsification is a mechanical process where large fat globules are broken down into small fat droplets. This increases the surface area to volume ratio, enabling the water-soluble enzyme lipase to chemically digest the lipids into fatty acids and glycerol at a much faster rate. (c) While carbohydrates consist only of carbon, hydrogen, and oxygen, proteins always contain nitrogen (and sometimes sulfur) in addition to carbon, hydrogen, and oxygen.
Marking scheme
(a) [4 marks total] - 1 mark: Small intestine (accept ileum / duodenum) - 1 mark each for any two adaptations described (max 3 marks): * Villi / microvilli present to increase surface area * Very thin wall / one-cell thick epithelium for short diffusion distance * Rich capillary network / lacteal to maintain steep concentration gradient
(b) [3 marks total] - 1 mark: Bile emulsifies fats / breaks large fat droplets into smaller droplets - 1 mark: This is physical/mechanical digestion (no chemical bonds broken) - 1 mark: Increases surface area of lipids for lipase to digest them faster
(c) [1 mark total] - 1 mark: Nitrogen (accept sulfur)
Question 8 · Structured Open
8.88 marks
Light and sound are two types of waves that transmit energy.
(a) State two properties that are common to all electromagnetic waves.
(b) Red light has a wavelength of \(7.0 \times 10^{-7}\text{ m}\) in a vacuum. Given that the speed of electromagnetic waves in a vacuum is \(3.0 \times 10^8\text{ m/s}\), calculate the frequency of this red light. State the formula used and show your working.
(c) Compare transverse waves and longitudinal waves in terms of their direction of oscillation relative to the direction of wave travel. Give one example of a longitudinal wave.
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Worked solution
(a) All electromagnetic waves share several key characteristics: they are transverse waves, they can travel through a vacuum (do not require a medium), and they all travel at the same high speed in a vacuum (approximately \(3.0 \times 10^8\text{ m/s}\)).
(b) Formula: \(v = f \lambda\) where \(v\) is wave speed, \(f\) is frequency, and \(\lambda\) is wavelength. Rearranging for frequency: \(f = \frac{v}{\lambda}\). Substitution: \(f = \frac{3.0 \times 10^8\text{ m/s}}{7.0 \times 10^{-7}\text{ m}}\). Calculation: \(f \approx 4.29 \times 10^{14}\text{ Hz}\) (or \(4.3 \times 10^{14}\text{ Hz}\)).
(c) Transverse waves oscillate at a right angle (perpendicularly) to the direction of energy transfer / wave propagation (e.g., light waves, water waves). Longitudinal waves oscillate back and forth parallel to the direction of energy transfer / wave propagation. A common example of a longitudinal wave is a sound wave (or ultrasound, or a compression wave in a spring).
Marking scheme
(a) [2 marks total] - 1 mark each for any two correct properties (max 2 marks): * Travel at the speed of light (\(3.0 \times 10^8\text{ m/s}\)) in a vacuum * Do not require a medium / can travel through a vacuum * Are transverse waves * Can be reflected / refracted / diffracted
(b) [3 marks total] - 1 mark: State formula: \(v = f \lambda\) (or \(f = v / \lambda\)) - 1 mark: Correct substitution: \((3.0 \times 10^8) / (7.0 \times 10^{-7})\) - 1 mark: Correct evaluation: \(4.3 \times 10^{14}\text{ Hz}\) (accept \(4.29 \times 10^{14}\text{ Hz}\), must include correct unit)
(c) [3 marks total] - 1 mark: Transverse oscillations are perpendicular to wave travel / energy transfer - 1 mark: Longitudinal oscillations are parallel to wave travel / energy transfer - 1 mark: Sound waves (or ultrasound, or seismic P-waves) as a longitudinal example
Question 9 · Structured Open
8.88 marks
A car of mass \(1200\text{ kg}\) accelerates from rest to a speed of \(18\text{ m/s}\) in a time of \(8.0\text{ s}\).
(a) (i) Calculate the kinetic energy of the car when it is travelling at \(18\text{ m/s}\). State the unit of your answer.
(ii) Calculate the average useful power output of the engine required to accelerate the car to this speed, assuming no energy losses.
(b) After reaching \(18\text{ m/s}\), the car travels at this constant speed of \(18\text{ m/s}\) for a further \(12\text{ s}\). Calculate the total distance travelled by the car from the time it started moving. Assume the acceleration during the first \(8.0\text{ s}\) was uniform.
(c) Explain why the actual energy supplied by the fuel in the car's engine during this acceleration is much greater than the calculated kinetic energy.
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Worked solution
(a) (i) Use the formula for kinetic energy: \(E_k = \frac{1}{2} m v^2\) \(E_k = 0.5 \times 1200\text{ kg} \times (18\text{ m/s})^2\) \(E_k = 600 \times 324 = 194\ 400\text{ J}\) (or \(194.4\text{ kJ}\))
(ii) Use the formula for power: \(P = \frac{\text{Energy}}{t}\) \(P = \frac{194\ 400\text{ J}}{8.0\text{ s}} = 24\ 300\text{ W}\) (or \(24.3\text{ kW}\))
(b) Distance travelled is the area under the speed-time graph: Distance during acceleration phase: \(d_1 = \text{average speed} \times t = \frac{0 + 18}{2} \times 8.0 = 72\text{ m}\) Distance during constant speed phase: \(d_2 = 18\text{ m/s} \times 12\text{ s} = 216\text{ m}\) Total distance: \(d_{\text{total}} = 72\text{ m} + 216\text{ m} = 288\text{ m}\)
(c) In real life, some energy is lost/dissipated as thermal energy (heat) and sound to the surroundings. This is because work must be done against friction in the moving parts and air resistance acting on the car. Furthermore, the engine is not 100% efficient at converting chemical energy in fuel into mechanical work.
(a) (ii) [2 marks] - Correct formula or substitution of value from (a)(i) divided by 8 [1] - Correct final value: \(24\ 300\text{ W}\) (or \(24.3\text{ kW}\)) [1] [Allow ecf from (a)(i)]
(b) [2 marks] - Correct determination of distance during acceleration (\(72\text{ m}\)) OR distance during constant speed (\(216\text{ m}\)) [1] - Correct total distance: \(288\text{ m}\) [1]
(c) [2 marks] Any two points from: - Energy is lost/dissipated as thermal energy / heat (or sound) [1] - Work is done against air resistance / friction [1] - The engine is not 100% efficient [1]
Paper 61 (Alternative to Practical)
Answer all experimental and planning questions based on laboratory setups.
4 Question · 40 marks
Question 1 · Practical/Planning
10 marks
A student wants to plan an investigation to find out how the pH of a solution affects the rate at which amylase breaks down starch.
You are provided with: - Amylase solution - Starch solution - Iodine solution - Buffer solutions of different pH values (pH 4, 5, 6, 7, 8) - Spotting tiles, test-tubes, syringes, and a stopwatch
(a) Describe how the student would set up and carry out this investigation. [4] (b) State two variables that must be kept constant to ensure a fair test. For each variable, state how it is controlled. [2] (c) Describe how the student knows when all the starch has been digested. [1] (d) Draw a results table, with appropriate headings and units, that the student could use to record their experimental data. [2] (e) Suggest one safety hazard in this experiment and state a suitable precaution. [1]
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Worked solution
(a) Procedure: 1. Use a syringe to place a fixed volume (e.g., \(2\text{ cm}^3\)) of starch solution into a test-tube. 2. Use a different syringe to add a fixed volume (e.g., \(2\text{ cm}^3\)) of a specific pH buffer solution (e.g., pH 4) to the same test-tube. 3. Add a drop of iodine solution into each well of a spotting tile. 4. Add a fixed volume (e.g., \(1\text{ cm}^3\)) of amylase solution to the starch-buffer mixture, and immediately start the stopwatch. 5. Every 30 seconds, use a pipette to take a sample of the mixture and add it to a well on the spotting tile. 6. Record the time taken for the iodine to remain orange-brown (no longer turn blue-black). 7. Repeat steps 1–6 using the other pH buffer solutions (pH 5, 6, 7, and 8).
(b) Variables to keep constant: 1. Temperature: Controlled by placing all reactant test-tubes in a thermostatically controlled water bath (e.g., at \(35^\circ\text{C}\)) before mixing. 2. Concentration / Volume of amylase / starch solution: Controlled by using the same stock solution and measuring precise volumes with syringes.
(c) End-point detection: The iodine solution remains orange-brown (does not change color to blue-black), indicating that all starch has been broken down.
(d) Table design: | pH of solution | Time taken for starch breakdown / s | | :--- | :--- | | 4 | | | 5 | | | 6 | | | 7 | | | 8 | |
(e) Safety: - Hazard: Amylase enzyme solution / iodine solution can be skin or eye irritants. - Precaution: Wear safety goggles / lab coat / wash hands immediately if spilled on skin.
Marking scheme
(a) Procedure [Max 4 marks]: - Method of measuring volumes of starch/amylase/buffer (using syringes/graduated pipettes) [1] - Adding iodine to a spotting tile and testing samples at regular time intervals (e.g., every 30 s) [1] - Timing until the end-point is reached [1] - Repeating the entire procedure for at least three different pH values [1]
(b) Controlled variables [2 marks]: - Identifies one correct variable (e.g., temperature, concentration/volume of starch/amylase) with a valid control method [1] - Identifies a second correct variable with a valid control method [1]
(d) Table [2 marks]: - Table with clear column headings: 'pH' (no unit) and 'Time' with unit 'seconds' or 's' (e.g., Time / s) [1] - Table shows space/rows to record data for the five different pH values (4, 5, 6, 7, 8) [1]
(e) Safety [1 mark]: - Identifies irritation risk from chemicals (amylase/iodine) and proposes safety goggles or gloves; OR glassware breakage risk and proposes safe handling [1]
Question 2 · Practical/Planning
10 marks
A student carries out a titration to determine the concentration of a sample of dilute hydrochloric acid.
They pipette \(25.0\text{ cm}^3\) of \(0.10\text{ mol/dm}^3\) sodium hydroxide solution into a conical flask and add methyl orange indicator. They titrate this against the hydrochloric acid using a burette.
(a) The student carries out three titrations. The burette readings are as follows: - Titration 1: Initial reading = \(0.0\text{ cm}^3\), Final reading = \(24.2\text{ cm}^3\) - Titration 2: Initial reading = \(12.5\text{ cm}^3\), Final reading = \(35.4\text{ cm}^3\) - Titration 3: Initial reading = \(5.0\text{ cm}^3\), Final reading = \(29.1\text{ cm}^3\)
Calculate the titre volume for each titration. [3]
(b) Identify the anomalous titration result. Using the remaining concordant results, calculate the average titre volume. Show your working. [2]
(c) State the color change observed in the conical flask at the end-point of this titration. [1]
(d) Suggest why a volumetric pipette is used to measure the sodium hydroxide solution rather than a measuring cylinder. [1]
(e) Describe how the student can obtain pure, dry crystals of sodium chloride starting from the neutralized titration mixture. [3]
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(b) Anomalous result: - Titration 2 (\(22.9\text{ cm}^3\)) is anomalous because it is not within \(0.2\text{ cm}^3\) of the other values. - Average of concordant runs (Titration 1 and 3): \(\text{Average} = \frac{24.2 + 24.1}{2} = 24.15\text{ cm}^3\) (or \(24.2\text{ cm}^3\) rounded to 3 s.f.).
(c) Color change: - Methyl orange in alkali (NaOH) is yellow. At the neutral end-point, it changes to orange (or red/orange).
(d) Reason for pipette: - A volumetric pipette has a much lower percentage uncertainty / is much more accurate and precise for measuring fixed volumes than a measuring cylinder.
(e) Crystallization: 1. Heat/evaporate the neutralized solution in an evaporating basin until the crystallization point is reached (or when crystals start forming on a cold glass rod). 2. Leave the hot saturated solution to cool slowly so crystals can grow. 3. Filter off the crystals from the remaining liquid, then dry them by pressing between sheets of filter paper or in a warm oven.
Marking scheme
(a) Titre values [3 marks]: - Titre 1 = \(24.2\text{ cm}^3\) [1] - Titre 2 = \(22.9\text{ cm}^3\) [1] - Titre 3 = \(24.1\text{ cm}^3\) [1]
(b) Average calculation [2 marks]: - Identifies Titration 2 as anomalous [1] - Calculates average using Titrations 1 & 3: \(24.15\text{ cm}^3\) (allow \(24.1\) or \(24.2\)) [1]
(c) Color change [1 mark]: - Yellow to orange / peach / pinky-orange (Reject: yellow to red, yellow to clear) [1]
(d) Pipette comparison [1 mark]: - Pipette is more accurate / precise / has lower volume tolerance than a measuring cylinder [1]
(e) Recovery of crystals [3 marks]: - Heat solution to evaporate water to crystallization point / saturate [1] - Cool to allow crystallization to occur [1] - Filter crystals and dry them with filter paper / in a warm oven (Accept: do not heat to dryness) [1]
Question 3 · Practical/Planning
10 marks
A student conducts an experiment to investigate Hooke's Law using a steel spring.
The original length of the spring without any load, \(L_0\), is \(2.5\text{ cm}\). Different loads (suspended masses) are added to the spring, and the stretched length \(L\) is recorded.
(a) The student's measurements are: - For a load of \(1.0\text{ N}\), \(L = 4.2\text{ cm}\) - For a load of \(2.0\text{ N}\), \(L = 5.9\text{ cm}\) - For a load of \(3.0\text{ N}\), \(L = 7.5\text{ cm}\) - For a load of \(4.0\text{ N}\), \(L = 9.3\text{ cm}\) - For a load of \(5.0\text{ N}\), \(L = 11.0\text{ cm}\)
Calculate the extension, \(e\), for each load using the equation \(e = L - L_0\). Present your results in a table containing columns for Load, Length, and Extension, including units. [3]
(b) State one precaution the student must take when reading the ruler to ensure that the length measurement \(L\) is accurate. [1]
(c) State how the student can check whether the spring has exceeded its limit of proportionality during the experiment. [1]
(d) Explain how the student can use their results to determine the spring constant, \(k\), of the spring, specifying the axes of any graph they would plot and how they would use the graph. [3]
(e) Sketch the expected shape of the graph of Load against Extension if Hooke's Law is obeyed. Label both axes clearly, including units. [2]
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(b) Precaution: Read the ruler scale perpendicularly (at eye level) to avoid parallax error. (Alternatively: Ensure the ruler is parallel to the spring, or use a fiducial marker).
(c) Checking limit of proportionality: Remove the load and check if the spring returns to its original length \(L_0 = 2.5\text{ cm}\). If it does not return to its original length, it has plastically deformed and exceeded its limit.
(d) Finding spring constant \(k\): 1. Plot a graph of Load (on the y-axis) against Extension (on the x-axis). 2. Draw a line of best fit through the data points. 3. Calculate the gradient of this straight line. Since \(F = k e\), the gradient of a Load-Extension graph equals the spring constant \(k\) (in \(\text{N/cm}\)).
(e) Sketch graph: - A straight line passing directly through the origin \((0,0)\). - Y-axis labeled 'Load / \(\text{N}\)' and X-axis labeled 'Extension / \(\text{cm}\)' (or vice-versa, with gradient being \(1/k\)).
Marking scheme
(a) Table [3 marks]: - Clear column headings with units: Load / \(\text{N}\), Length / \(\text{cm}\), Extension / \(\text{cm}\) [1] - All 5 lengths recorded correctly with matching loads [1] - All 5 extensions calculated correctly (1.7, 3.4, 5.0, 6.8, 8.5) [1]
(b) Precaution [1 mark]: - Avoid parallax error by reading at eye level / perpendicular to the scale; OR use a set square / align ruler vertically [1]
(c) Limit of proportionality check [1 mark]: - Remove the mass/load and measure to see if it returns to original length / \(2.5\text{ cm}\) (no permanent deformation) [1]
(d) Calculating \(k\) from graph [3 marks]: - Plot a graph of Load against Extension [1] - Draw a line of best fit (straight line through origin) [1] - State that \(k\) is equal to the gradient of the line (or \(1/\text{gradient}\) if extension is on y-axis) [1]
(e) Sketch [2 marks]: - Straight line drawn through origin showing direct proportionality [1] - Axes correctly labeled with variables and units: Load / \(\text{N}\) and Extension / \(\text{cm}\) [1]
Question 4 · Practical/Planning
10 marks
A student investigates the effectiveness of different insulating materials in reducing thermal energy transfer from a beaker of hot water.
They use three identical glass beakers: - Beaker A: Uninsulated (control) - Beaker B: Wrapped in one layer of bubble wrap - Beaker C: Wrapped in one layer of cotton wool
(a) State two variables that must be kept constant to ensure a fair comparison. [2]
(b) The starting temperature of the hot water in Beaker B is \(85.0^\circ\text{C}\). After \(3\text{ minutes}\), the temperature drops to \(71.5^\circ\text{C}\). Calculate the temperature change, \(\Delta T_B\), of the water in Beaker B. [2]
(c) The temperature changes for Beakers A and C are: - \(\Delta T_A = 21.0^\circ\text{C}\) - \(\Delta T_C = 9.5^\circ\text{C}\)
Identify which material is the best thermal insulator. Explain your choice using all the results from the experiment. [2]
(d) Suggest one modification to the apparatus to reduce heat loss from the top of the beakers. [1]
(e) Explain why it is important to stir the water before taking each temperature reading. [1]
(f) Suggest how the student could extend this investigation to find the relationship between the thickness of an insulating material and its effectiveness. [2]
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Worked solution
(a) Constant variables: 1. Volume of hot water in each beaker (e.g., \(100\text{ cm}^3\)). 2. Initial temperature of the water at the start of timing. 3. Material/size/shape of the beakers used. 4. Location / ambient room temperature (absence of drafts).
(c) Analysis: - Best insulator: Cotton wool (Beaker C). - Explanation: Beaker C had the smallest temperature drop (\(9.5^\circ\text{C}\)), compared to bubble wrap (\(13.5^\circ\text{C}\)) and no insulation (\(21.0^\circ\text{C}\)). A smaller temperature drop indicates a lower rate of thermal energy transfer.
(d) Modification: - Place a lid (e.g., cardboard, plastic, or foam cover) on top of each beaker to reduce heat loss by convection/evaporation.
(e) Stirring: - Stirring ensures that thermal energy is distributed evenly throughout the water, making the temperature uniform so the thermometer reading is representative of the whole volume.
(f) Extension: - Use the same insulating material (e.g., bubble wrap). - Repeat the experiment using different numbers of layers of this material (e.g., 1 layer, 2 layers, 3 layers, 4 layers). - Keep all other variables (initial temp, volume, time) constant and compare the resulting temperature changes.
Marking scheme
(a) Constant variables [2 marks]: - State any two: volume of water, initial temperature of water, same beaker type, same surface/ambient conditions [2]
(c) Best insulator selection and explanation [2 marks]: - Identify Cotton Wool (Beaker C) [1] - Explanation referencing smallest temperature drop (\(9.5^\circ\text{C}\)) compared to Beaker B (\(13.5^\circ\text{C}\)) and control Beaker A (\(21.0^\circ\text{C}\)) [1]
(d) Modification [1 mark]: - Add a lid / cover on top of each beaker [1]
(e) Stirring [1 mark]: - To ensure uniform / even temperature distribution throughout the water [1]
(f) Extension [2 marks]: - Use varying thicknesses / numbers of layers of a single insulating material [1] - Measure temperature change over the same duration, keeping initial temperature and volume constant [1]
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