Cambridge IGCSE · thinka-original Practice Paper

2026 Cambridge IGCSE Science - Combined (0653) Practice Paper with Answers

Thinka Jun 2026 (V1) Cambridge IGCSE-Style Mock — Science - Combined (0653)

80 marks75 mins2026
An original Thinka practice paper modelled on the structure and difficulty of the Jun 2026 (V1) Cambridge IGCSE Science - Combined (0653) paper. Not affiliated with or reproduced from Cambridge.

Section A: Biology Core & Extended

Answer all questions. Show working where required. Total marks: 27.
3 Question · 27 marks
Question 1 · structured
9 marks
The human digestive system is an organ system responsible for breaking down large biological molecules into smaller soluble molecules.

(a) (i) State the organ in the alimentary canal where the chemical digestion of protein begins. [1]

(ii) Name the group of enzymes that catalyses the breakdown of protein into amino acids. [1]

(iii) State one function of hydrochloric acid in gastric juice in the stomach. [1]

(b) A student carries out food tests on a liquid sample of food.

(i) Describe how to test the sample for the presence of protein, and state the positive result. [2]

(ii) Describe the test for reducing sugars using Benedict's solution, including how the mixture is treated, and state the positive result. [3]

(c) Carbohydrates and proteins both contain carbon, hydrogen, and oxygen. State one additional chemical element that is always present in proteins. [1]
Show answer & marking scheme

Worked solution

(a) (i) Chemical digestion of protein starts in the stomach.
(ii) Proteases (such as pepsin) break down proteins into amino acids.
(iii) Hydrochloric acid creates an acidic environment (optimum pH for gastric protease) and destroys pathogens/bacteria ingested with food.

(b) (i) To test for protein, add Biuret reagent (or dilute sodium hydroxide followed by dilute copper(II) sulfate). A positive result shows a colour change from blue to purple/lilac.
(ii) To test for reducing sugars, add Benedict's solution to the food sample and heat in a water bath (e.g. at 80 °C) for several minutes. A positive result is indicated by a colour change from blue to green, yellow, orange, or brick-red precipitate depending on concentration.

(c) Proteins always contain nitrogen in addition to carbon, hydrogen, and oxygen (some also contain sulfur).

Marking scheme

(a)(i) stomach; [1]

(a)(ii) protease; [1]
ALLOW pepsin / peptidase

(a)(iii) kills bacteria / kills pathogens / destroys microorganisms;
OR provides optimum / acidic pH (for protease / pepsin activity);
OR denatures harmful enzymes in food; [1]
DO NOT ACCEPT just 'digests food'

(b)(i) add Biuret (reagent / solution) / add aqueous sodium hydroxide AND aqueous copper(II) sulfate; [1]
(colour turns) purple / lilac / violet; [1]
ALLOW mauve
DO NOT ACCEPT blue to pink alone unless purple is mentioned

(b)(ii) add Benedict's (solution / reagent); [1]
heat / place in a (hot) water bath / warm above 60–80 °C; [1]
(colour turns / gives) green / yellow / orange / red / brick-red (precipitate); [1]
DO NOT ACCEPT heating without mention of reagent

(c) nitrogen; [1]
ALLOW N
ALLOW sulfur / S
Question 2 · theory
9 marks
Plants absorb water from the soil and carbon dioxide from the atmosphere to carry out photosynthesis, while also losing water through transpiration.

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

(b) (i) Name the plant tissue that transports water from the roots to the leaves. [1]

(ii) Describe the pathway taken by water from the soil to the atmosphere. [3]

(c) Explain the effect of an increase in wind speed on the rate of transpiration. [2]

(d) State one environmental condition, other than increased wind speed, that increases the rate of transpiration. [1]
Show answer & marking scheme

Worked solution

(a) Photosynthesis combines carbon dioxide and water to produce glucose and oxygen:
\(6\text{CO}_2 + 6\text{H}_2\text{O} \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2\)

(b) (i) Xylem is the specialised vascular tissue responsible for the transport of water and dissolved mineral ions.
(ii) Water enters root hair cells from the soil by osmosis. It passes across the root cortex into the xylem vessels, travels up the stem, and enters the mesophyll cells of the leaf. Water evaporates from the surfaces of the mesophyll cells into the intercellular air spaces and diffuses out into the atmosphere through open stomata.

(c) Higher wind speed removes accumulated water vapour from the boundary layer around the stomata. This maintains a steep water vapour concentration gradient between the air spaces inside the leaf and the external air, increasing the rate of diffusion of water vapour out of the leaf.

(d) Increased temperature increases the kinetic energy of water molecules, leading to faster evaporation and higher transpiration rates. (Alternatively: decreased humidity or increased light intensity).

Marking scheme

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

(b) (i)
- xylem / xylem vessels [1];
(ii)
- water enters root hair (cells) / roots (by osmosis) [1];
- travels up the xylem (vessels in stem / leaf) [1];
- evaporates from mesophyll (cells) and diffuses out through stomata [1];

(c)
- moves / blows water vapour away from the leaf surface / stomata [1];
- maintains / increases the concentration gradient (of water vapour) / faster diffusion of water vapour [1];

(d)
- (increased) temperature / (decreased) humidity / (increased) light intensity [1];
ALLOW warmer air / drier air / lower moisture in air
DO NOT ACCEPT just 'sunlight' without reference to intensity or brightness.
Question 3 · theory
9 marks
(a) (i) Define the term pathogen. [1]

(ii) State two mechanical or chemical barriers the human body uses to prevent pathogens from entering tissues or the bloodstream. [2]

(b) Explain why antibiotics can be used to treat infections caused by bacteria, but are not effective against viruses. [2]

(c) A child is given a vaccine containing harmless forms of a disease-causing bacterium.

(i) Explain how vaccination leads to active immunity against this bacterium. [3]

(ii) State one reason why vaccinating a large proportion of a population protects individuals who cannot be vaccinated. [1]
Show answer & marking scheme

Worked solution

(a) (i) A pathogen is defined as a disease-causing organism.

(ii) Suitable barriers include:
- Mechanical barriers: skin, hairs in the nose, cilia (in the respiratory tract).
- Chemical barriers: mucus, stomach acid (hydrochloric acid in gastric juice), lysozyme/tears.

(b) Bacteria are cellular organisms with structures such as cell walls, bacterial ribosomes, and distinct metabolic pathways that antibiotics specifically inhibit or disrupt. Viruses do not have cellular structures or cell walls; they reproduce inside the host's own cells using the host's metabolic machinery, making them unaffected by antibiotics.

(c) (i)
1. The vaccine introduces harmless (dead, weakened, or fragmented) pathogens containing specific antigens into the body.
2. White blood cells (lymphocytes) recognise the antigens and produce specific antibodies against them.
3. Memory cells are produced and remain in the body, ensuring that if the live pathogen infects the person later, antibodies are produced much more rapidly and in greater quantity, preventing illness (active immunity).

(ii) When a large majority of the population is vaccinated, the transmission of the pathogen is greatly reduced (herd immunity), meaning unvaccinated individuals are far less likely to encounter an infected host.

Marking scheme

(a)(i)
- a disease-causing organism / organism that causes disease [1]
[ALLOW micro-organism / named type of pathogen]

(a)(ii) Any two for [1] mark each:
- skin [1]
- nose hairs [1]
- mucus [1]
- cilia / ciliated cells [1]
- stomach acid / hydrochloric acid in stomach / gastric juice [1]
- tears / lysozyme [1]
[MAX 2]

(b)
- antibiotics target bacterial cellular structures / bacterial cell walls / bacterial metabolism / kill living cells [1]
- viruses do not have cells / do not have cell walls / reproduce inside host cells [1]

(c)(i)
- vaccine introduces antigens / dead / weakened / inactive pathogen [1]
- stimulates (lymphocytes / white blood cells) to produce (specific) antibodies [1]
- memory cells are produced (which give long-term defence / rapid response on re-infection) [1]

(c)(ii)
- herd immunity / fewer infected people to transmit the disease / lower probability of non-vaccinated person encountering the pathogen [1]

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Section B: Chemistry Core & Extended

Answer all questions. Refer to the Periodic Table provided on the back page. Total marks: 26.
4 Question · 26 marks
Question 1 · theory
9 marks
Lithium and fluorine react together to form the ionic compound lithium fluoride, \(\text{LiF}\).

(a) An atom of lithium has a proton number of 3 and a nucleon number of 7.
(i) State the number of neutrons in this lithium atom. [1]
(ii) State the electronic configuration of a lithium atom. [1]

(b) Describe, in terms of electrons, what happens when a lithium atom reacts with a fluorine atom to form lithium fluoride. [3]

(c) Molten lithium fluoride undergoes electrolysis using inert electrodes.
(i) Define the term electrolyte. [1]
(ii) Name the substance formed at the cathode. [1]
(iii) State one observation made at the anode during this electrolysis. [1]
(iv) Explain why molten lithium fluoride conducts electricity, but solid lithium fluoride does not conduct electricity. [1]
Show answer & marking scheme

Worked solution

(a)(i) Number of neutrons = nucleon number - proton number = 7 - 3 = 4.
(a)(ii) With 3 electrons, the electronic configuration is 2, 1.
(b) When lithium reacts with fluorine:
- The lithium atom loses its 1 outer-shell electron to form a positive lithium ion (\(\text{Li}^+\)).
- The fluorine atom gains this 1 electron to complete its outer shell and form a negative fluoride ion (\(\text{F}^-\)).
- The oppositely charged ions (\(\text{Li}^+\) and \(\text{F}^-\)) attract each other by strong electrostatic forces.
(c)(i) An electrolyte is a molten or aqueous substance / ionic compound that conducts electricity and is decomposed in the process.
(c)(ii) Positive lithium ions (\(\text{Li}^+\)) move to the negative cathode where they gain electrons to form lithium metal.
(c)(iii) Negative fluoride ions (\(\text{F}^-\)) lose electrons at the anode to produce fluorine gas; observed as bubbles / effervescence / pale green-yellow gas.
(c)(iv) In solid lithium fluoride, ions are held in fixed positions in a giant ionic lattice and cannot move. In molten lithium fluoride, the lattice breaks down and the ions are free to move and carry charge.

Marking scheme

(a)(i) 4 [1];
(a)(ii) 2, 1 / 2.1 [1];
(b) Lithium (atom) loses one electron / outer electron [1];
Fluorine (atom) gains one electron [1];
(Strong) electrostatic attraction between oppositely charged ions / between \(\text{Li}^+\) and \(\text{F}^-\) [1];
(c)(i) A molten or aqueous substance / ionic compound that conducts electricity and is broken down / decomposed by it [1];
(c)(ii) Lithium / \(\text{Li}\) [1];
(c)(iii) Bubbles / effervescence / gas given off / pale yellow-green gas [1]; ALLOW yellow gas / green gas; IGNORE smell;
(c)(iv) Ions are free to move in molten (liquid) state but are fixed / cannot move in solid [1]; DO NOT ACCEPT electrons moving for ionic conduction.
Question 2 · structured
8 marks
A student investigates the reaction between magnesium and dilute hydrochloric acid.

(a) Magnesium reacts with dilute hydrochloric acid to form aqueous magnesium chloride and hydrogen gas.
Write the balanced symbol equation for this reaction. [2]

(b) The reaction between magnesium and dilute hydrochloric acid is exothermic.

Fig. 5.1 shows an incomplete reaction pathway diagram for this reaction.

```
Energy
^
|
| ---------------- Reactants
| (Mg + 2HCl)
|
|
+------------------------------------->
Progress of reaction
```

Complete the reaction pathway diagram in Fig. 5.1 by:
- drawing a line to represent the energy level of the products
- drawing and labelling an arrow to represent the activation energy, \(E_\text{a}\)
- drawing and labelling an arrow to represent the overall energy change, \(\Delta H\). [3]

(c) The student repeats the experiment using an equal mass of magnesium powder instead of magnesium ribbon. All other conditions are kept constant.

(i) State the effect of using magnesium powder on the rate of the reaction. [1]

(ii) Explain your answer to (c)(i) in terms of collision theory. [2]
Show answer & marking scheme

Worked solution

(a) The reactants are magnesium (\(\text{Mg}\)) and hydrochloric acid (\(\text{HCl}\)). The products are magnesium chloride (\(\text{MgCl}_2\)) and hydrogen gas (\(\text{H}_2\)).
Balanced equation: \(\text{Mg} + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2\)

(b)
- In an exothermic reaction, the products have lower chemical energy than the reactants, so the products line must be drawn below the reactants line.
- The activation energy, \(E_\text{a}\), is the minimum energy required to start the reaction; it is represented by an arrow extending upwards from the reactant energy level to the peak of the curve.
- The overall energy change (\(\Delta H\)) is represented by an arrow extending from the reactant energy level down to the product energy level.

(c)(i) Using powder increases the rate of reaction (makes the reaction faster).

(c)(ii) Magnesium powder has a larger surface area (or greater surface area to volume ratio) than magnesium ribbon. This means more magnesium particles are exposed, leading to a greater frequency of collisions (more collisions per unit time/second) between magnesium atoms and hydrogen ions/acid particles.

Marking scheme

(a)
- Correct formulas of reactants and products (\(\text{Mg}\), \(\text{HCl}\), \(\text{MgCl}_2\), \(\text{H}_2\)) [1]
- Correct balancing: \(\text{Mg} + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2\) [1]

(b)
- Products line drawn horizontal and lower than the reactants line [1]
- Activation energy, \(E_\text{a}\), indicated by an arrow pointing upwards from the reactant level to the highest point of the pathway curve [1]
- Overall energy change, \(\Delta H\), indicated by a vertical arrow pointing downwards from the reactant level to the product level [1]
(ALLOW double-headed arrow if clearly labelled; DO NOT ACCEPT arrows starting from axis/baseline)

(c)(i)
- Rate increases / reaction is faster [1]
(ALLOW time taken decreases; IGNORE reaction finishes quicker without reference to rate/speed)

(c)(ii)
- (Powder has a) larger / greater surface area (or more particles exposed) [1]
- Higher frequency of collisions / more collisions per second / more collisions per unit time [1]
(DO NOT ACCEPT 'more collisions' without a time reference such as 'per second' / 'frequency')
Question 3 · structured
9 marks
Petroleum (crude oil) and natural gas are important fossil fuels that contain mixtures of hydrocarbons.

(a) Name the compound that is the main constituent of natural gas. [1]

(b) Alkanes form a homologous series.
State two general characteristics of a homologous series. [2]

(c) Long-chain alkanes, such as decane (\(\text{C}_{10}\text{H}_{22}\)), are cracked to produce shorter-chain hydrocarbons including ethene (\(\text{C}_2\text{H}_4\)).
(i) State one condition needed for catalytic cracking. [1]
(ii) Complete the chemical equation for the cracking of decane to form ethene and one other hydrocarbon.

\(\text{C}_{10}\text{H}_{22} \rightarrow \text{C}_2\text{H}_4 + \) .............................. [1]

(d) Describe a chemical test to distinguish between ethane and ethene.
State the reagent used and the observation for each compound. [2]

(e) Incomplete combustion of hydrocarbon fuels in vehicle engines produces a toxic atmospheric pollutant.
Name this toxic gas and explain why it is harmful to human health. [2]
Show answer & marking scheme

Worked solution

(a) Natural gas is predominantly composed of methane (\(\text{CH}_4\)).

(b) A homologous series is a family of similar compounds with:
1. The same general formula (e.g., \(\text{C}_n\text{H}_{2n+2}\) for alkanes).
2. Similar chemical properties.
3. A trend in physical properties (such as increasing boiling point with chain length).
4. Successive members differing by a \(-\text{CH}_2-\) unit.

(c)(i) Cracking requires thermal energy (high temperature, typically 450–800 °C) and/or a catalyst (such as zeolite, silica, or alumina).
(c)(ii) Total carbon atoms = 10; product has 2 in ethene, leaving \(10 - 2 = 8\) carbons. Total hydrogen atoms = 22; product has 4 in ethene, leaving \(22 - 4 = 18\) hydrogens. Hence, the missing hydrocarbon is octane, \(\text{C}_8\text{H}_{18}\).

(d) Aqueous bromine (bromine water) tests for unsaturation (C=C double bonds).
- When shaken with ethane (saturated), the solution remains orange/brown.
- When shaken with ethene (unsaturated), the solution is rapidly decolourised (turns from orange to colourless).

(e) Incomplete combustion (combustion in a limited supply of oxygen) produces carbon monoxide (\(\text{CO}\)). Carbon monoxide binds tightly to haemoglobin in red blood cells, which prevents oxygen from binding and thereby reduces the oxygen-carrying capacity of the blood.

Marking scheme

(a) methane [1]

(b) any two from:
- same general formula [1]
- same functional group [1]
- similar chemical properties / same chemical reactions [1]
- trend / gradual change in physical properties [1]
- consecutive members differ by \(\text{CH}_2\) [1]

(c)(i) high temperature / heat / 450–800 °C OR catalyst / zeolite / aluminium oxide / silica-alumina [1]
(c)(ii) \(\text{C}_8\text{H}_{18}\) [1]

(d)
- (aqueous) bromine / bromine water [1]
- (ethane:) remains orange / brown / yellow / no change AND (ethene:) turns colourless / decolourises [1]
[DO NOT ACCEPT 'turns clear' for colourless]

(e)
- carbon monoxide / \(\text{CO}\) [1]
- binds with haemoglobin / reduces blood's ability to carry/transport oxygen [1]
[IGNORE 'causes breathing difficulties' unless linked to haemoglobin / oxygen transport]
Question 4 · null
0 marks

Section C: Physics Core & Extended

Answer all questions. Take g = 9.8 N/kg. Show complete working for calculations. Total marks: 27.
3 Question · 27 marks
Question 1 · structured
10 marks
A space mission sends an automated exploration lander to a distant airless moon.

(a) The lander has a mass of \(450\text{ kg}\). The gravitational field strength on the surface of the moon is \(1.6\text{ N/kg}\).

(i) Calculate the weight of the lander on this moon. [1]

(ii) As the lander approaches the surface, its retro-thrusters fire to produce an upward thrust of \(1170\text{ N}\).
Calculate the resultant force acting on the lander and state its direction. [2]

(iii) Calculate the deceleration of the lander produced by this resultant force. [2]

(b) Before landing, the mission placed an observation satellite into a circular orbit around the moon with an orbital radius of \(1.8 \times 10^6\text{ m}\). The satellite completes one full orbit in \(7.2 \times 10^3\text{ s}\).

(i) Calculate the orbital speed \(v\) of the satellite. [2]

(ii) State the name of the force that keeps the satellite in orbit around the moon. [1]

(c) The lander carries an optical telescope to observe stars beyond the Solar System.

(i) Describe how a protostar is formed from an interstellar cloud of dust and gas (nebula). [1]

(ii) State the nuclear process that provides the energy source in the core of a stable star. [1]
Show answer & marking scheme

Worked solution

(a)(i)
\[W = mg = 450\text{ kg} \times 1.6\text{ N/kg} = 720\text{ N}\]

(a)(ii)
\[\text{Resultant force } F = \text{Thrust} - \text{Weight} = 1170\text{ N} - 720\text{ N} = 450\text{ N}\]
Direction: upwards / in the direction of the thrust.

(a)(iii)
Using \(F = ma\):
\[a = \frac{F}{m} = \frac{450\text{ N}}{450\text{ kg}} = 1.0\text{ m/s}^2\]

(b)(i)
Using \(v = \frac{2\pi r}{T}\):
\[v = \frac{2 \times \pi \times 1.8 \times 10^6\text{ m}}{7.2 \times 10^3\text{ s}} = \frac{1.131 \times 10^7}{7200} \approx 1570\text{ m/s} \quad (\text{or } 1.6 \times 10^3\text{ m/s})\]

(b)(ii)
Gravitational force / gravity / gravitational attraction.

(c)(i)
Gravitational attraction / gravity pulls the particles of gas and dust together.

(c)(ii)
Nuclear fusion (hydrogen fusing to form helium).

Marking scheme

(a)(i) [1 mark]
720 (N) ;

(a)(ii) [2 marks]
450 (N) ; [1]
Upwards / vertically up ; [1] (ALLOW ecf from (a)(i))

(a)(iii) [2 marks]
(a =) F / m OR 450 / 450 ; [1]
1.0 m/s² (or 1 m/s²) ; [1] (ALLOW ecf from (a)(ii))

(b)(i) [2 marks]
(v =) 2 × π × r / T OR (2 × π × 1.8 × 10⁶) / (7.2 × 10³) ; [1]
1570 (m/s) OR 1600 (m/s) OR 1.57 × 10³ (m/s) ; [1]

(b)(ii) [1 mark]
Gravitational force / gravity / gravitational attraction ;

(c)(i) [1 mark]
Gravity / gravitational force pulls (clouds of) gas and dust together ;

(c)(ii) [1 mark]
(Nuclear) fusion / hydrogen fusing into helium ;
Question 2 · structured
8 marks
(a) A sample of gas is trapped inside a rigid metal cylinder of fixed volume.

(i) Explain, in terms of particles, how the gas exerts a pressure on the inner walls of the cylinder. [2]

(ii) The cylinder is heated, causing the temperature of the gas to increase.
Explain, in terms of particles, why the pressure of the gas increases. [2]

(b) A loudspeaker nearby emits a sound wave into the air.

(i) State whether a sound wave is transverse or longitudinal, and describe the direction of vibration of the air particles relative to the direction of energy transfer. [2]

(ii) The sound wave has a frequency of \(850\text{ Hz}\). The speed of sound in air is \(340\text{ m/s}\).
Calculate the wavelength of the sound wave. State the unit. [2]
Show answer & marking scheme

Worked solution

(a)(i) Gas particles are in continuous, random motion. When they collide with the inner walls of the container, they exert a force on the area of the wall, creating pressure (\(p = \frac{F}{A}\)).

(a)(ii) As the temperature increases, the particles gain kinetic energy and move faster. This causes them to collide with the walls more frequently and with greater force/momentum, resulting in an increased total force per unit area, and hence higher pressure.

(b)(i) Sound is a longitudinal wave. The particles of the medium vibrate/oscillate parallel to (along) the direction of energy transfer (direction of wave propagation).

(b)(ii) Using the wave equation:
\(v = f \lambda\)
\(\lambda = \frac{v}{f} = \frac{340\text{ m/s}}{850\text{ Hz}} = 0.40\text{ m}\)

Marking scheme

(a)(i)
- (gas) particles in continuous / random motion [1];
- particles collide with / hit the walls (of the cylinder), exerting a force (per unit area) [1];
ALLOW: molecules / atoms for particles.
DO NOT ACCEPT: particles colliding with each other as the cause of pressure on the wall.

(a)(ii)
- particles have more kinetic energy / move faster / have higher average speed [1];
- (particles) collide with the walls more frequently / more often OR collide with greater force / harder [1];
DO NOT ACCEPT: particles expand.

(b)(i)
- longitudinal [1];
- particles vibrate / oscillate parallel to (the direction of) wave travel / energy transfer [1];
ALLOW: back and forth in the same direction as the wave.

(b)(ii)
- correct formula or substitution: \(\lambda = \frac{v}{f}\) OR \(\frac{340}{850}\) [1];
- \(0.40\text{ m}\) / \(0.4\text{ m}\) (correct numerical value and unit required for 2nd mark) [1];
ALLOW: \(40\text{ cm}\) if unit is clearly stated.
Question 3 · structured
9 marks
A circuit is connected to a \(12.0\text{ V}\) d.c. power supply.

Two resistors, \(R_1 = 30\,\Omega\) and \(R_2 = 60\,\Omega\), are connected in parallel with each other. This parallel combination is connected in series with a third resistor, \(R_3 = 40\,\Omega\), and an ammeter.

(a) Calculate the combined resistance of the parallel combination of resistors \(R_1\) and \(R_2\). [2]

(b) Determine the total resistance of the entire circuit. [1]

(c) (i) Calculate the current measured by the ammeter. [2]
(ii) Calculate the electrical power transferred by resistor \(R_3\). [2]

(d) Resistor \(R_3\) is replaced by a resistor with a higher resistance of \(80\,\Omega\).
State and explain the effect of this change on the potential difference across the parallel combination of \(R_1\) and \(R_2\). [2]
Show answer & marking scheme

Worked solution

(a) Use the parallel resistance formula:
\(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{30} + \frac{1}{60} = \frac{2}{60} + \frac{1}{60} = \frac{3}{60} = \frac{1}{20}\)
\(R_p = 20\,\Omega\)

(b) The total resistance is the series sum of the parallel combination and \(R_3\):
\(R_{\text{total}} = R_p + R_3 = 20 + 40 = 60\,\Omega\)

(c)(i) Total current from the supply (which passes through the ammeter in series):
\(I = \frac{V}{R_{\text{total}}} = \frac{12.0}{60} = 0.20\text{ A}\)

(c)(ii) Power dissipated in \(R_3\):
\(P = I^2 R_3 = (0.20)^2 \times 40 = 0.040 \times 40 = 1.6\text{ W}\)
(Alternatively, \(V_3 = IR_3 = 0.20 \times 40 = 8.0\text{ V}\), then \(P = IV = 0.20 \times 8.0 = 1.6\text{ W}\))

(d) The potential difference across the parallel combination decreases.
Explanation: The circuit acts as a potential divider where the supply voltage is shared in proportion to resistance. Increasing the resistance of \(R_3\) causes \(R_3\) to take a larger share of the total \(12.0\text{ V}\) supply, leaving a smaller share for the parallel combination (or total current decreases, so \(V_p = I \times R_p\) decreases).

Marking scheme

(a) \(\frac{1}{R_p} = \frac{1}{30} + \frac{1}{60}\) OR \(R_p = \frac{30 \times 60}{30 + 60}\) [1];
\(20\,\Omega\) [1];

(b) \(60\,\Omega\) (ALLOW ECF from (a): \(R_p + 40\)) [1];

(c)(i) \(I = \frac{V}{R}\) OR \(\frac{12.0}{60}\) [1];
\(0.20\text{ A}\) (ALLOW ECF from (b)) [1];

(c)(ii) \(P = I^2 R\) OR \(P = IV\) with \(V = 8.0\text{ V}\) [1];
\(1.6\text{ W}\) (ALLOW ECF from (c)(i)) [1];

(d) (potential difference) decreases [1];
\(R_3\) takes a greater share/fraction of the supply voltage OR total current in the circuit decreases (and \(V = IR\)) [1]

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