Cambridge IGCSE · Thinka-original Practice Paper

2023 Cambridge IGCSE Sciences - Co-ordinated (Double) (0654) Practice Paper with Answers

Thinka Nov 2023 (V3) Cambridge International A Level-Style Mock — Sciences - Co-ordinated (Double) (0654)

220 marks255 mins2023
An original Thinka practice paper modelled on the structure and difficulty of the Nov 2023 (V3) Cambridge International A Level Sciences - Co-ordinated (Double) (0654) paper. Not affiliated with or reproduced from Cambridge.

Section Structured Theory

Answer all 12 structured questions. Show all working, state correct formulas, and write final values with appropriate units.
12 Question · 120 marks
Question 1 · Structured Question
10 marks
(a) A circuit is set up with a 12.0 V battery connected to a resistor network. The network consists of a parallel combination of a 6.0 \(\Omega\) resistor and a 12.0 \(\Omega\) resistor, connected in series with a 4.0 \(\Omega\) resistor.

(i) Calculate the combined resistance of the 6.0 \(\Omega\) and 12.0 \(\Omega\) resistors in parallel. [2]

(ii) Show that the total resistance of the entire circuit is 8.0 \(\Omega\). [1]

(iii) Calculate the current flowing from the battery. [2]

(b) An electric heater is designed to operate normally when connected to a 230 V mains supply. The power rating of the heater is 1.2 kW.

(i) Calculate the current in the heater during normal operation. Give your answer to two significant figures. [2]

(ii) Calculate the electrical energy transferred by the heater in 15 minutes of normal operation. State the unit of your answer. [3]
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Worked solution

(a)(i) Using the parallel resistance formula:
\(R_p = \frac{R_1 \times R_2}{R_1 + R_2} = \frac{6.0 \times 12.0}{6.0 + 12.0} = \frac{72.0}{18.0} = 4.0\ \Omega\).

(a)(ii) The total resistance is the sum of the parallel combination and the series resistor:
\(R_{\text{total}} = R_p + R_3 = 4.0\ \Omega + 4.0\ \Omega = 8.0\ \Omega\).

(a)(iii) Using Ohm's law:
\(I = \frac{V}{R} = \frac{12.0\text{ V}}{8.0\ \Omega} = 1.5\text{ A}\).

(b)(i) Using the power formula:
\(P = V I\)
\(I = \frac{P}{V} = \frac{1200\text{ W}}{230\text{ V}} = 5.217\text{ A} \approx 5.2\text{ A}\) (to 2 s.f.).

(b)(ii) First, convert time to seconds:
\(t = 15 \times 60 = 900\text{ s}\).
Use the energy formula:
\(E = P \times t = 1200\text{ W} \times 900\text{ s} = 1,080,000\text{ J}\) or \(1.1 \times 10^6\text{ J}\) (or \(1.08\text{ MJ}\)).

Marking scheme

(a)(i)
- State correct formula: \(R_p = \frac{R_1 R_2}{R_1 + R_2}\) or \(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}\) [1]
- Correct calculation: \(4.0\ (\Omega)\) [1]

(a)(ii)
- Addition of \(4.0\ (\Omega)\) (from a(i)) and \(4.0\ (\Omega)\) to get \(8.0\ \Omega\) [1]

(a)(iii)
- State formula \(I = \frac{V}{R}\) or substitute values \(\frac{12.0}{8.0}\) [1]
- Correct answer: \(1.5\text{ A}\) (accept correct unit A or Amps) [1]

(b)(i)
- State formula \(P = VI\) or rearrangement \(I = \frac{P}{V}\) [1]
- Correct calculation to 2 s.f.: \(5.2\text{ A}\) (accept \(5.22\text{ A}\) if s.f. not followed; reject \(5.2\) without units unless unit is written elsewhere) [1]

(b)(ii)
- Convert 15 minutes to seconds: \(15 \times 60 = 900\text{ s}\) [1]
- Correct calculation of energy: \(1.08 \times 10^6\text{ J}\) or \(1.1 \times 10^6\text{ J}\) (or \(1.08\text{ MJ}\)) [1]
- Correct unit: \(\text{J}\) or \(\text{Joules}\) or \(\text{MJ}\) [1]
Question 2 · Structured Question
10 marks
Iron is extracted from its main ore, hematite, in a blast furnace.

(a) Hematite contains iron in the form of an oxide.

(i) State the chemical name and write the chemical formula of this iron oxide. [2]

(ii) In the blast furnace, carbon monoxide gas, \(\text{CO}\), reduces the iron oxide to molten iron. Write the balanced chemical equation for this reaction. [2]

(iii) Carbon monoxide is formed by reactions involving coke (carbon) and oxygen from the air. Describe the steps by which carbon monoxide is formed. Include a balanced chemical equation for the final step. [2]

(b) Limestone (calcium carbonate) is added to the blast furnace to remove impurities such as silica (silicon dioxide).

(i) Calcium carbonate undergoes thermal decomposition to produce calcium oxide. Write the chemical equation for this reaction. [1]

(ii) Explain how the calcium oxide reacts with silica to form slag (calcium silicate). Include a balanced chemical equation for this reaction. [3]
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Worked solution

(a)(i) The main ore is hematite, which contains iron(III) oxide. Its chemical formula is \(\text{Fe}_2\text{O}_3\).

(a)(ii) The balanced equation is:
\(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\).

(a)(iii) Carbon first reacts with oxygen to form carbon dioxide:
\(\text{C} + \text{O}_2 \rightarrow \text{CO}_2\).
This carbon dioxide then reacts further with carbon (coke) at high temperature to form carbon monoxide:
\(\text{CO}_2 + \text{C} \rightarrow 2\text{CO}\).

(b)(i) The thermal decomposition of calcium carbonate is:
\(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\).

(b)(ii) Silicon dioxide (silica) is an acidic impurity. Calcium oxide is a basic oxide. They react in an acid-base neutralization-type reaction to form liquid slag, calcium silicate:
\(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\).

Marking scheme

(a)(i)
- Chemical name: iron(III) oxide (accept ferric oxide, reject iron oxide) [1]
- Chemical formula: \(\text{Fe}_2\text{O}_3\) [1]

(a)(ii)
- Correct reactants and products: \(\text{Fe}_2\text{O}_3 + \text{CO} \rightarrow \text{Fe} + \text{CO}_2\) [1]
- Correct balancing: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\) [1]

(a)(iii)
- Description: Carbon dioxide reacts with carbon / coke to form carbon monoxide [1]
- Equation: \(\text{CO}_2 + \text{C} \rightarrow 2\text{CO}\) [1]

(b)(i)
- Correct equation: \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\) [1]

(b)(ii)
- Explanation: Calcium oxide is basic and silica is acidic (so they react) [1]
- Products/Term: Reacts to form calcium silicate / slag [1]
- Equation: \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\) [1]
Question 3 · Structured Question
10 marks
The mammalian circulatory system is highly adapted for the transport of materials around the body.

(a) The human heart has walls made of muscle.

(i) Explain why the wall of the left ventricle is much thicker than the wall of the right ventricle. [2]

(ii) Name the blood vessels that supply oxygenated blood directly to the heart muscle. Describe the consequences to the heart muscle if these vessels become blocked. [3]

(b) Human blood contains red blood cells.

(i) State two structural features of a red blood cell and explain how each feature adapts the cell for its function. [2]

(ii) State the main function of platelets in blood. [1]

(iii) Describe how the structure of a capillary is adapted to allow efficient exchange of substances between blood and body cells. [2]
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Worked solution

(a)(i) The left ventricle must pump blood throughout the entire systemic circulation (to all body organs except the lungs), which has a much higher resistance and requires high pressure. The right ventricle only pumps blood to the lungs (pulmonary circulation), which are nearby and operate at much lower pressure. Therefore, the left ventricle requires thicker muscular walls to generate this high pressure.

(a)(ii) The blood vessels are the coronary arteries. If these vessels become blocked (due to fatty deposits/plaques), the heart muscle is deprived of oxygen and glucose. The muscle cells cannot perform aerobic respiration, leading to cell death, which causes coronary heart disease (CHD) and can lead to a heart attack (myocardial infarction).

(b)(i) Adaptations include:
- Biconcave disc shape: increases the surface area-to-volume ratio, allowing faster diffusion of oxygen.
- Absence of a nucleus: allows more space inside the cell for carrying hemoglobin (and thus more oxygen).
- Presence of hemoglobin: a protein that readily binds with oxygen in high concentrations (lungs) and releases it in low concentrations (tissues).

(b)(ii) Platelets are involved in blood clotting, which helps to seal wounds, stop bleeding, and prevent the entry of pathogens into the blood.

(b)(iii) Capillaries have walls that are only one cell thick (made of endothelial cells), which minimizes the diffusion distance for nutrients, oxygen, and carbon dioxide, allowing rapid and efficient exchange.

Marking scheme

(a)(i)
- Left ventricle pumps blood to the body / further distance AND right ventricle pumps to the lungs / shorter distance [1]
- Left ventricle must generate a higher pressure (to overcome higher resistance) [1]

(a)(ii)
- Coronary arteries [1]
- Blockage restricts / stops oxygen / glucose supply to heart muscle [1]
- Muscle cannot respire (aerobically) / dies / leading to heart attack [1]

(b)(i) Any two pairs for [2] marks (1 mark per pair of feature + adaptation):
- Biconcave disc shape AND increases surface area for diffusion [1]
- No nucleus AND provides more space for hemoglobin / oxygen [1]
- Contains hemoglobin AND binds to / transports oxygen [1]
- Small / flexible AND can squeeze through narrow capillaries [1]

(b)(ii)
- Blood clotting / scab formation / prevents bleeding / prevents pathogen entry [1]

(b)(iii)
- Wall is only one cell thick [1]
- Short diffusion distance (for rapid exchange of substances) [1]
Question 4 · Structured Question
10 marks
A student sets up an electrical circuit to investigate resistors in different combinations. (a) Initially, the student connects a 12.0 V d.c. power supply to two resistors, \(R_1 = 6.0\ \Omega\) and \(R_2 = 12.0\ \Omega\), connected in parallel. (i) Calculate the combined resistance of the two resistors in parallel. [2] (ii) Calculate the total current flowing from the power supply. [2] (b) The student then modifies the circuit by connecting a third resistor, \(R_3 = 4.0\ \Omega\), in series with the parallel combination. (i) Calculate the total resistance of this new circuit. [2] (ii) Calculate the total electrical power dissipated in this new circuit. [2] (c) State what happens to the current flowing through \(R_1\) if \(R_2\) is disconnected from the circuit (leaving \(R_1\) and \(R_3\) in series). Explain your answer. [2]
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Worked solution

(a)(i) The formula for parallel resistance is \(1/R_p = 1/R_1 + 1/R_2\). Substituting the values: \(1/R_p = 1/6.0 + 1/12.0 = 2/12 + 1/12 = 3/12\). Therefore, \(R_p = 12/3 = 4.0\ \Omega\). (a)(ii) Using Ohm's law, \(I = V / R\). Here, \(I_{total} = 12.0\text{ V} / 4.0\ \Omega = 3.0\text{ A}\). (b)(i) The total resistance is the parallel combination in series with \(R_3\): \(R_{total} = R_p + R_3 = 4.0 + 4.0 = 8.0\ \Omega\). (b)(ii) The total power can be calculated using \(P = V^2 / R\). Substituting the values: \(P = (12.0)^2 / 8.0 = 144 / 8.0 = 18.0\text{ W}\) (or using \(I = V/R = 12/8 = 1.5\text{ A}\) and then \(P = I^2 R = 1.5^2 \times 8.0 = 18.0\text{ W}\)). (c) Before disconnecting \(R_2\), the total current in the circuit was 1.5 A. The voltage across the parallel combination was \(V_p = I_{total} \times R_p = 1.5 \times 4.0 = 6.0\text{ V}\). The current through \(R_1\) was \(I_1 = V_p / R_1 = 6.0 / 6.0 = 1.0\text{ A}\). When \(R_2\) is disconnected, the circuit becomes a simple series circuit with \(R_1\) and \(R_3\). The total resistance is now \(R = R_1 + R_3 = 6.0 + 4.0 = 10.0\ \Omega\). The new current in the circuit (which is the current flowing through \(R_1\)) is \(I = 12.0 / 10.0 = 1.2\text{ A}\). Thus, the current through \(R_1\) increases from 1.0 A to 1.2 A.

Marking scheme

(a)(i) 1 mark for correct formula or working: \(1/R = 1/6 + 1/12\). 1 mark for correct value and unit: \(4.0\ \Omega\). (a)(ii) 1 mark for formula \(I = V/R\) or substitution. 1 mark for correct value with unit: \(3.0\text{ A}\). (b)(i) 1 mark for adding parallel resistance to series resistance: \(4.0 + 4.0\). 1 mark for correct value with unit: \(8.0\ \Omega\). (b)(ii) 1 mark for correct formula \(P = V^2 / R\) or \(P = VI\) after finding correct current. 1 mark for correct value with unit: \(18.0\text{ W}\). (c) 1 mark for stating that the current increases (or changes from 1.0 A to 1.2 A). 1 mark for explanation involving calculation of new resistance (10 ohms) and new current (1.2 A), comparing it to previous current through R1 (1.0 A).
Question 5 · Structured Question
10 marks
Iron is extracted on a large scale in the blast furnace and widely used in alloys. (a) (i) State the name of the main reducing agent used in the blast furnace, and write a balanced chemical equation for the reduction of hematite (iron(III) oxide) by this agent. [3] (ii) Limestone (calcium carbonate) is added to the blast furnace to remove impurities. Describe how limestone removes silicon dioxide (silica) impurities. Include at least one balanced chemical equation in your description. [3] (b) Steel is an alloy containing iron and carbon. (i) Explain, in terms of structure and bonding, why steel is stronger and harder than pure iron. [2] (ii) Suggest why copper, rather than steel, is used for household electrical wiring, even though steel has greater tensile strength. [2]
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Worked solution

(a)(i) Carbon monoxide (CO) is the main reducing agent. It reduces iron(III) oxide to iron: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\). (a)(ii) Inside the hot furnace, calcium carbonate decomposes thermally to form calcium oxide and carbon dioxide: \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\). Calcium oxide is basic and reacts with the acidic silicon dioxide (silica) impurity to form calcium silicate (slag): \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\). (b)(i) Pure iron consists of a regular arrangement of metallic ions in layers that slide over each other easily. Carbon atoms in steel are of a different size to iron atoms, which disrupts this regular lattice arrangement. This prevents the layers of atoms from sliding past each other easily, making the alloy much harder and stronger. (b)(ii) Copper is a much better electrical conductor than steel, ensuring less energy is lost as heat. Copper is also highly ductile, making it easier to draw into thin wires without breaking.

Marking scheme

(a)(i) 1 mark for naming carbon monoxide. 1 mark for correct reactant and product formulas in the equation. 1 mark for correct balancing of the equation: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\). (a)(ii) 1 mark for explaining thermal decomposition of limestone or writing \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\). 1 mark for describing calcium oxide reacting with silicon dioxide (neutralisation of acidic oxide by basic oxide) or writing \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\). 1 mark for identifying the product as slag / calcium silicate. (b)(i) 1 mark for mentioning different sizes of atoms disrupting the regular structure/layers. 1 mark for explaining that this prevents layers of atoms from sliding over each other. (b)(ii) 1 mark for stating that copper is a better electrical conductor. 1 mark for stating that copper is more ductile / easily drawn into wires.
Question 6 · Structured Question
10 marks
The mammalian circulatory system is adapted for efficient transport. (a) Explain what is meant by the term double circulation. [2] (b) The muscular wall of the left ventricle is significantly thicker than that of the right ventricle. Explain the physiological importance of this difference. [2] (c) Contrast the structure of an artery with that of a vein, and relate these structural differences to their functions. [4] (d) State the name of the blood vessel that carries: (i) deoxygenated blood from the heart to the lungs. [1] (ii) oxygenated blood from the lungs to the heart. [1]
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Worked solution

(a) Double circulation means that for every complete circuit of the body, blood passes through the heart twice. This consists of the pulmonary circulation (heart to lungs and back) and the systemic circulation (heart to rest of the body and back). (b) The left ventricle must pump blood through the systemic circulation (all around the body), which requires a very high pressure to overcome the high resistance of the systemic blood vessels. The right ventricle only pumps blood to the lungs (pulmonary circulation), which are nearby, delicate, and require much lower pressure to prevent damage. (c) Arteries have thick, muscular, and elastic walls to withstand and maintain the high pressure of blood coming from the heart, and a narrow lumen to maintain pressure. Veins have thin walls because the blood is under low pressure, a wide lumen to reduce resistance to blood flow, and possess valves to prevent the backflow of blood. (d)(i) The pulmonary artery. (d)(ii) The pulmonary vein.

Marking scheme

(a) 1 mark for stating blood flows through the heart twice for each complete circuit of the body. 1 mark for identifying the two circuits as pulmonary and systemic. (b) 1 mark for stating left ventricle pumps blood to the whole body / systemic circuit at high pressure. 1 mark for stating right ventricle only pumps blood to the lungs / pulmonary circuit at lower pressure. (c) 1 mark for stating artery has a thicker muscular/elastic wall OR narrower lumen than a vein. 1 mark for relating artery wall/lumen to withstanding/maintaining high pressure. 1 mark for stating vein has a thinner wall OR wider lumen than an artery. 1 mark for relating vein structure to low pressure flow OR mentioning valves to prevent backflow of blood. (d)(i) 1 mark for pulmonary artery. (d)(ii) 1 mark for pulmonary vein.
Question 7 · Structured Question
10 marks
A student sets up an electrical circuit with a \(12\text{ V}\) d.c. power supply, a fixed resistor of resistance \(4.0\ \Omega\), and a filament lamp connected in series.

(a) (i) Calculate the combined resistance of the circuit if the current is measured to be \(1.5\text{ A}\). [2]

(ii) Determine the resistance of the lamp. [1]

(iii) Calculate the electrical energy transferred by the lamp in \(5.0\text{ minutes}\). Show your working. [3]

(b) Explain how a step-up transformer increases the voltage of an alternating current (a.c.) supply. In your answer, refer to the relative number of turns on the coils and how electromagnetic induction is involved. [4]
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Worked solution

(a) (i) Using Ohm's Law:
\(R = \frac{V}{I}\)
\(R = \frac{12\text{ V}}{1.5\text{ A}} = 8.0\ \Omega\)

(ii) In a series circuit, total resistance is the sum of individual resistances:
\(R_{\text{total}} = R_{\text{resistor}} + R_{\text{lamp}}\)
\(8.0\ \Omega = 4.0\ \Omega + R_{\text{lamp}}\)
\(R_{\text{lamp}} = 4.0\ \Omega\)

(iii) First, calculate the power of the lamp using \(P = I^2 R\) or \(P = V_{\text{lamp}} I\):
\(V_{\text{lamp}} = I \times R_{\text{lamp}} = 1.5\text{ A} \times 4.0\ \Omega = 6.0\text{ V}\)
\(P = 6.0\text{ V} \times 1.5\text{ A} = 9.0\text{ W}\)
Convert time to seconds:
\(t = 5.0\text{ mins} \times 60\text{ s/min} = 300\text{ s}\)
Calculate energy transferred:
\(E = P \times t = 9.0\text{ W} \times 300\text{ s} = 2700\text{ J}\) (or \(2.7\text{ kJ}\))

(b) A step-up transformer has more turns on the secondary coil than on the primary coil (\(N_s > N_p\)). When an alternating current (a.c.) flows through the primary coil, it produces a constantly changing magnetic field. This magnetic field is linked to the secondary coil by the soft iron core. The changing magnetic field cuts through the secondary coil, inducing an alternating electromotive force (voltage) across its ends by electromagnetic induction. Because there are more turns on the secondary coil, the induced voltage is greater than the input voltage.

Marking scheme

(a) (i)
- Formula \(R = V / I\) used or implied: [1 mark]
- Correct calculation to give \(8.0\ \Omega\) (accept 8): [1 mark]

(ii)
- Subtraction of 4.0 from the answer to (a)(i) to give \(4.0\ \Omega\) (allow error carried forward from (a)(i)): [1 mark]

(iii)
- Conversion of time to seconds: \(300\text{ s}\): [1 mark]
- Use of \(E = I^2 R t\) or \(E = V I t\) (using correct voltage across lamp of \(6.0\text{ V}\)): [1 mark]
- Correct final answer: \(2700\text{ J}\) or \(2.7\text{ kJ}\) with correct unit: [1 mark]

(b)
- Mentions that there are more turns on the secondary coil than the primary coil: [1 mark]
- States that alternating current in the primary coil creates a changing/alternating magnetic field: [1 mark]
- Explains that the core transfers this magnetic field to the secondary coil: [1 mark]
- Describes that the changing magnetic field induces a voltage/e.m.f. in the secondary coil (electromagnetic induction): [1 mark]
Question 8 · Structured Question
10 marks
Iron is extracted from the ore hematite (which contains iron(III) oxide, \(\text{Fe}_2\text{O}_3\)) in a blast furnace.

(a) (i) Name the raw material added to the blast furnace that provides the carbon used to reduce iron(III) oxide. [1]

(ii) Write the balanced chemical equation for the reduction of iron(III) oxide by carbon monoxide. [2]

(iii) Explain, in terms of oxygen transfer, why this reaction is described as a redox reaction. [2]

(b) Pure iron is relatively soft, so it is alloyed with carbon and other elements to make steel.

(i) Explain, in terms of structure and bonding, why steel is harder than pure iron. [3]

(ii) Magnesium can be attached to iron structures to prevent rusting. Explain how this sacrificial protection works. [2]
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Worked solution

(a) (i) Coke is the raw material that provides carbon. (Coal is also accepted).

(ii) The balanced equation is:
\(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\)

(iii) Redox is a reaction where both reduction and oxidation happen simultaneously. In terms of oxygen transfer:
- \(\text{Fe}_2\text{O}_3\) is reduced because it loses oxygen to become \(\text{Fe}\).
- \(\text{CO}\) is oxidized because it gains oxygen to become \(\text{CO}_2\).

(b) (i) Pure iron has a regular arrangement of metallic ions in layers. When a force is applied, these layers slide over each other easily, making pure iron soft. Steel is an alloy containing carbon atoms of different sizes. These different-sized atoms disrupt the regular arrangement of the layers. As a result, the layers cannot slide over each other as easily, making steel harder.

(ii) Magnesium is higher in the reactivity series than iron, meaning it is more reactive and oxidizes more readily. It loses electrons preferentially compared to iron. This prevents the iron from reacting with water and oxygen to form rust.

Marking scheme

(a) (i)
- Coke / coal: [1 mark] (Reject: carbon / charcoal)

(ii)
- Correct formulas for reactants and products: [1 mark]
- Correct balancing: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\): [1 mark]

(iii)
- Identifies that reduction is the loss of oxygen (iron(III) oxide loses oxygen) AND oxidation is the gain of oxygen (carbon monoxide gains oxygen): [2 marks]
- (Award [1 mark] if only one of these definitions/processes is correctly described in context)

(b) (i)
- Describes steel containing atoms of different sizes / carbon atoms of different sizes: [1 mark]
- Explains that this disrupts the regular arrangement / lattice of iron layers: [1 mark]
- Concludes that layers cannot slide / slip over each other easily: [1 mark]

(ii)
- States that magnesium is more reactive than iron: [1 mark]
- Explains that magnesium oxidizes / corrodes / loses electrons preferentially (instead of iron): [1 mark]
Question 9 · Structured Question
10 marks
Green plants perform photosynthesis to synthesize carbohydrates from simple inorganic molecules.

(a) (i) Write the balanced chemical equation for photosynthesis. [2]

(ii) Describe how a plant obtains the two raw materials needed for photosynthesis from its environment. [2]

(b) A student investigated the rate of photosynthesis in an aquatic plant, Elodea. The rate of photosynthesis was estimated by measuring the volume of oxygen gas produced per minute. The distance of a light source from the plant was varied to change the light intensity.

(i) Suggest how the light intensity was varied in this investigation. [1]

(ii) State two variables that must be kept constant during this investigation. [2]

(c) Explain how the structure of a palisade mesophyll cell is adapted to maximize the rate of photosynthesis. [3]
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Worked solution

(a) (i) The balanced chemical equation for photosynthesis is:
\(6\text{CO}_2 + 6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2\)
(Light and chlorophyll can be written over/under the arrow but are not required as reactants/products).

(ii)
- Carbon dioxide: Diffuses from the atmosphere into the leaf through stomata.
- Water: Absorbed from the soil into root hair cells by osmosis, then transported through xylem vessels.

(b) (i) Light intensity is varied by placing the light source at different measured distances from the beaker containing the aquatic plant (or using different power/wattage light bulbs).

(ii) To ensure a fair test, variables that must be kept constant include:
- Temperature (e.g., using a water bath/heat shield to block heat from the lamp).
- Carbon dioxide concentration (e.g., using a fixed concentration of sodium hydrogencarbonate solution).
- The same piece of aquatic plant.

(c) Palisade mesophyll cell adaptations include:
- Packed with a large number of chloroplasts containing chlorophyll to absorb maximum light energy.
- Elongated, column-shaped cells arranged vertically near the upper surface of the leaf to allow many cells to pack closely together and receive direct sunlight.
- Large central vacuole which pushes chloroplasts towards the periphery (edge) of the cell, reducing the diffusion distance for carbon dioxide.

Marking scheme

(a) (i)
- Correct formulas for reactants and products: [1 mark]
- Correct balancing: \(6\text{CO}_2 + 6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2\): [1 mark]

(ii)
- Carbon dioxide enters via diffusion through stomata: [1 mark]
- Water enters via osmosis through root hair cells: [1 mark]

(b) (i)
- Move the lamp to different distances from the plant / vary the distance of the light source: [1 mark]

(ii)
- Any two from: temperature, carbon dioxide concentration / concentration of hydrogencarbonate, size/mass of plant, wavelength/color of light: [2 marks]

(c)
- Contains many chloroplasts (to capture light): [1 mark]
- Columnar / elongated shape: [1 mark]
- Positioned near the upper surface of the leaf / arranged vertically to fit more cells: [1 mark]
Question 10 · Structured Question
10 marks
(a) An electrical circuit contains a \(16.0\text{ V}\) d.c. power supply of negligible internal resistance connected to three resistors, \(R_1\), \(R_2\) and \(R_3\).

Resistors \(R_1\) and \(R_2\) are connected in parallel with each other. This parallel combination is connected in series with resistor \(R_3\) and the power supply.

The resistances of the resistors are:
\(R_1 = 4.0\ \Omega\)
\(R_2 = 12.0\ \Omega\)
\(R_3 = 5.0\ \Omega\)

(i) Show that the combined resistance of the parallel pair, \(R_1\) and \(R_2\), is \(3.0\ \Omega\). [2]

(ii) Calculate the total resistance of the entire circuit. [1]

(iii) Calculate the current flowing through resistor \(R_3\). State the formula used and show your working. [2]

(b) Calculate the potential difference across the parallel combination of \(R_1\) and \(R_2\). Show your working. [2]

(c) Calculate the electrical power dissipated by resistor \(R_3\). State the formula used, show your working and write the correct unit. [3]
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Worked solution

**Part (a)(i)**
Using the parallel resistor formula:
\(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}\)
\(\frac{1}{R_p} = \frac{1}{4.0} + \frac{1}{12.0} = \frac{3}{12.0} + \frac{1}{12.0} = \frac{4}{12.0}\)
\(R_p = \frac{12.0}{4} = 3.0\ \Omega\)

**Part (a)(ii)**
Since the parallel pair is in series with \(R_3\):
\(R_{\text{total}} = R_p + R_3 = 3.0 + 5.0 = 8.0\ \Omega\)

**Part (a)(iii)**
The current through \(R_3\) is the total current of the circuit, as \(R_3\) is in series with the power supply.
Using Ohm's Law:
\(I = \frac{V}{R_{\text{total}}}\)
\(I = \frac{16.0\text{ V}}{8.0\ \Omega} = 2.0\text{ A}\)

**Part (b)**
The potential difference across the parallel combination (\(V_p\)) is:
\(V_p = I \times R_p = 2.0\text{ A} \times 3.0\ \Omega = 6.0\text{ V}\)
(Alternatively, using the potential divider rule: \(V_p = 16.0 \times \frac{3.0}{8.0} = 6.0\text{ V}\))

**Part (c)**
The power dissipated by \(R_3\) (\(P_3\)) is calculated using:
\(P = I^2 \times R_3\) or \(P = V_3 \times I\)
Since \(V_3 = I \times R_3 = 2.0 \times 5.0 = 10.0\text{ V}\):
\(P = 2.0^2 \times 5.0 = 4.0 \times 5.0 = 20.0\text{ W}\) (or \(P = 10.0 \times 2.0 = 20.0\text{ W}\))
The unit of power is Watts (\(\text{W}\)).

Marking scheme

**Part (a)**
(i)
- Use of \(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}\) or \(R_p = \frac{R_1 \times R_2}{R_1 + R_2}\) [1]
- Correct calculation leading to \(3.0\ \Omega\) [1]

(ii)
- \(8.0\ \Omega\) [1]

(iii)
- Use of \(I = \frac{V}{R}\) [1]
- Correct current: \(2.0\text{ A}\) (accept \(2\text{ A}\)) [1]

**Part (b)**
- Use of \(V = I \times R_p\) or potential divider formula [1]
- Correct potential difference: \(6.0\text{ V}\) (accept \(6\text{ V}\)) [1]

**Part (c)**
- Use of formula \(P = I^2 R\) or \(P = V I\) or \(P = \frac{V^2}{R}\) [1]
- Correct numerical value: \(20.0\) (or \(20\)) [1]
- Correct unit: \(\text{W}\) or Watts [1]
Question 11 · Structured Question
10 marks
(a) Iron is extracted from its ore, hematite, in a blast furnace.

Name three raw materials, other than hematite, that are added to the blast furnace. [3]

(b) In the hotter parts of the furnace, carbon monoxide, \(\text{CO}\), reacts with iron(III) oxide, \(\text{Fe}_2\text{O}_3\), to produce iron and carbon dioxide.

(i) Write a balanced chemical equation for this reaction. [2]

(ii) Identify which reactant is reduced in this reaction, and explain your choice in terms of oxygen transfer. [2]

(c) Hematite contains silicon(IV) oxide, \(\text{SiO}_2\), as an impurity.

Explain how this impurity is removed from the blast furnace. Your answer must include a chemical equation for the formation of slag. [3]
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Worked solution

**Part (a)**
The three materials added to the top or bottom of the blast furnace are:
1. Coke (carbon, which acts as fuel and reducing agent)
2. Limestone (calcium carbonate, which removes silica impurities)
3. Air (oxygen, which reacts with coke to heat the furnace and form carbon monoxide)

**Part (b)(i)**
The balanced chemical equation for the reduction of hematite by carbon monoxide is:
\(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\)

**Part (b)(ii)**
Iron(III) oxide (\(\text{Fe}_2\text{O}_3\)) is the substance reduced. Reduction is the loss of oxygen; the iron(III) oxide loses oxygen to form iron (\(\text{Fe}\)).

**Part (c)**
- Calcium carbonate (limestone) thermally decomposes in the furnace to form calcium oxide and carbon dioxide:
\(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\)
- Calcium oxide (\(\text{CaO}\)), a basic oxide, reacts with the acidic impurity silicon(IV) oxide (\(\text{SiO}_2\)) to form calcium silicate (\(\text{CaSiO}_3\)), commonly called slag:
\(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\)
- Slag is molten at these high temperatures and, being less dense than molten iron, floats on top of the liquid iron, where it is periodically tapped off.

Marking scheme

**Part (a)**
- Coke [1]
- Limestone / calcium carbonate [1]
- Air / oxygen [1]
(Accept in any order)

**Part (b)**
(i)
- Correct chemical formulas of all reactants and products [1]
- Correct balancing: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\) [1]

(ii)
- Iron(III) oxide / \(\text{Fe}_2\text{O}_3\) [1]
- because it loses oxygen (to form iron) [1] (Reject: iron is reduced; it must be iron(III) oxide)

**Part (c)**
- Statement that limestone decomposes to form calcium oxide / \(\text{CaO}\) [1]
- Correct equation for slag formation: \(\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3\) [1]
- Slag is less dense than iron / floats on molten iron and is tapped off / separated [1]
Question 12 · Structured Question
10 marks
(a) Photosynthesis is the process by which green plants manufacture carbohydrates.

(i) Write the balanced chemical equation for photosynthesis. [2]

(ii) State the source of energy for photosynthesis and name the pigment that absorbs this energy. [2]

(b) A student investigates the rate of photosynthesis of an aquatic plant at different distances from a light source. The student measures the volume of oxygen gas released per minute.

(i) State how the light intensity changes as the distance from the light source increases. [1]

(ii) Suggest how the student could ensure that the temperature of the water remains constant during the investigation. [1]

(iii) At very short distances from the light source, the rate of oxygen production remains constant even if the light source is moved closer.
Explain this observation. [2]

(c) Plants need magnesium ions to grow healthily.

Describe the role of magnesium ions in a plant and describe the appearance of a plant grown in magnesium-deficient soil. [2]
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Worked solution

**Part (a)(i)**
The balanced chemical equation for photosynthesis is:
\(6\text{CO}_2 + 6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2\)
(Accept the word equation only if requested, but syllabus specifies balanced chemical equation. Light and chlorophyll can be written over the arrow but are not required as reactants/products.)

**Part (a)(ii)**
- Source of energy: Sunlight / light
- Pigment: Chlorophyll

**Part (b)(i)**
As the distance increases, the light intensity decreases (it follows an inverse square relationship, but 'decreases' is sufficient for the mark).

**Part (b)(ii)**
To keep water temperature constant, the student can use a glass heat shield or screen between the light source and the beaker to block thermal radiation, use an LED bulb (which releases very little heat), or place the container of pondweed in a larger, thermostatically-controlled water bath.

**Part (b)(iii)**
At very high light intensities, light is no longer the factor that limits the rate of photosynthesis. The rate has reached a maximum plateau because another factor, such as carbon dioxide concentration or temperature, is now in short supply and acts as the limiting factor.

**Part (c)**
- Magnesium ions are required by plants to manufacture chlorophyll.
- If grown in magnesium-deficient soil, the plant cannot make sufficient chlorophyll, resulting in a yellowing of the leaves (chlorosis), particularly between the veins.

Marking scheme

**Part (a)**
(i)
- Correct formulas for reactants and products: \(\text{CO}_2 + \text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + \text{O}_2\) [1]
- Correctly balanced equation: \(6\text{CO}_2 + 6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2\) [1]

(ii)
- Light / sunlight [1]
- Chlorophyll [1]

**Part (b)**
(i)
- Decreases [1]

(ii)
- Place a transparent glass barrier / heat shield between the light and the plant OR use LED lamp OR put the plant in a water bath [1]

(iii)
- Light is no longer the limiting factor [1]
- Another factor (such as carbon dioxide concentration or temperature) is limiting / at its maximum rate [1]

**Part (c)**
- Role: making chlorophyll [1]
- Appearance: yellowing leaves / chlorosis [1]

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