Cambridge IGCSE · thinka-original Practice Paper

2024 Cambridge IGCSE Sciences - Co-ordinated (Double) (0654) Practice Paper with Answers

Thinka Nov 2024 (V3) Cambridge IGCSE-Style Mock — Sciences - Co-ordinated (Double) (0654)

120 marks120 mins2024
An original Thinka practice paper modelled on the structure and difficulty of the Nov 2024 (V3) Cambridge IGCSE Sciences - Co-ordinated (Double) (0654) paper. Not affiliated with or reproduced from Cambridge.

Section A: Biology, Chemistry and Physics Core/Extended Theory

Answer all twelve compulsory structured questions covering Biology, Chemistry, and Physics.
46 Question · 111 marks
Question 1 · short_answer
1.5 marks
Complete the sentences to describe the mechanism of inspiration in humans.

During inspiration, the external intercostal muscles ..................................................... and the diaphragm contracts and ..................................................... .
This causes the volume of the thorax to ..................................................... .
Show answer & marking scheme

Worked solution

During inhalation (inspiration):
1. The external intercostal muscles contract (pulling ribs up and out).
2. The diaphragm contracts and flattens (moves downwards).
3. These combined movements increase the volume inside the thorax (thoracic cavity), reducing internal pressure below atmospheric pressure so air rushes in.

Marking scheme

contract / tighten ; [0.5]
flattens / moves down / descends ; [0.5]
increase / get bigger / expand ; [0.5]
Question 2 · short_answer
1.5 marks
Decane, \(\text{C}_{10}\text{H}_{22}\), is an alkane that can be cracked to form ethene and one other hydrocarbon molecule, \(\text{X}\).

(i) State the molecular formula of hydrocarbon \(\text{X}\) when one molecule of decane produces one molecule of ethene (\(\text{C}_{2}\text{H}_{4}\)) and one molecule of \(\text{X}\).

Formula = .....................................................

(ii) State the colour change observed when ethene is shaken with aqueous bromine.

from ..................................................... to .....................................................
Show answer & marking scheme

Worked solution

(i) \(\text{C}_{10}\text{H}_{22} \rightarrow \text{C}_{2}\text{H}_{4} + \text{C}_{8}\text{H}_{18}\). Therefore, hydrocarbon \(\text{X}\) is \(\text{C}_{8}\text{H}_{18}\).
(ii) Aqueous bromine is orange (or brown/yellow). Alkenes undergo an addition reaction with bromine, decolourising it so the final solution is colourless.

Marking scheme

(i) \(\text{C}_{8}\text{H}_{18}\) ; [0.5]
(ii) (from) orange / brown / red-brown / yellow ; [0.5]
(to) colourless / decolourised ; [0.5] (reject: 'clear' alone)
Question 3 · short_answer
1.5 marks
A small electric heater is connected to a \(12.0\text{ V}\) power supply. The current in the heater is \(2.5\text{ A}\).

Calculate the resistance of the heater and state the unit of resistance.

Resistance = .....................................................
Unit = .....................................................
Show answer & marking scheme

Worked solution

Use Ohm's Law formula:
\(R = \frac{V}{I}\)
\(R = \frac{12.0\text{ V}}{2.5\text{ A}} = 4.8\)

The SI unit of electrical resistance is the ohm (\(\Omega\)).

Marking scheme

\(4.8\) ; [1.0] (award [0.5] for formula \(R = \frac{V}{I}\) or substitution \(\frac{12}{2.5}\) if final value incorrect)
\(\Omega\) / ohm(s) ; [0.5]
Question 4 · short_answer
1.5 marks
Complete the sentences about the pathway of water loss in plant leaves.

Water evaporates from the wet cell walls of the ..................................................... mesophyll cells into the internal air spaces.
Water vapour then diffuses out of the leaf into the atmosphere primarily through pores called ..................................................... .
Show answer & marking scheme

Worked solution

1. Water evaporates from the cell walls of the spongy mesophyll layer into the interconnecting air spaces within the leaf.
2. The water vapour diffuses down its concentration gradient through the stomata (singular: stoma) into the drier surrounding air.

Marking scheme

spongy ; [0.75]
stomata / stoma / stomatal pores ; [0.75]
Question 5 · short_answer
1.5 marks
A nucleus of carbon-14 (\(^{14}_{\ 6}\text{C}\)) undergoes beta-decay (\(\beta^-\)) to produce a nucleus of nitrogen (\(\text{N}\)) and a beta particle (\(^{\ 0}_{-1}\text{e}\)):

\(^{14}_{\ 6}\text{C} \rightarrow \text{}^{A}_{Z}\text{N} + \text{}^{\ 0}_{-1}\text{e}\)

(i) State the values of \(A\) and \(Z\).
\(A\) = .....................................................
\(Z\) = .....................................................

(ii) State which type of ionising radiation (alpha, beta, or gamma) has the greatest penetrating power.
Show answer & marking scheme

Worked solution

(i) Nucleon number conservation: \(14 = A + 0 \implies A = 14\).
Proton number conservation: \(6 = Z + (-1) \implies Z = 7\).
(ii) Gamma (\(\gamma\)) radiation is high-energy electromagnetic radiation and has the greatest penetrating power compared to alpha and beta radiation.

Marking scheme

(i) (A =) 14 ; [0.5]
(Z =) 7 ; [0.5]
(ii) gamma / \(\gamma\) ; [0.5]
Question 6 · short_answer
1.5 marks
During inhalation, the diaphragm contracts and moves downwards.

State the effect of this movement on the volume and pressure inside the thorax.
Show answer & marking scheme

Worked solution

When the diaphragm contracts and flattens (moves downwards), the volume of the thoracic cavity increases. According to Boyle's law, as volume increases, the internal gas pressure inside the thorax decreases below atmospheric pressure, allowing air to rush into the lungs.

Marking scheme

Volume increases [1];
Pressure decreases / falls below atmospheric pressure [0.5];
Question 7 · short_answer
1.5 marks
Propene reacts with aqueous bromine in an addition reaction.

State the colour change observed in the reaction mixture and name the product formed.
Show answer & marking scheme

Worked solution

Aqueous bromine (bromine water) is originally orange or red-brown. When shaken with an unsaturated hydrocarbon such as propene (\(\text{C}_3\text{H}_6\)), the bromine adds across the double bond to form 1,2-dibromopropane (\(\text{CH}_3\text{CHBrCH}_2\text{Br}\)), resulting in a colourless solution (decolourisation).

Marking scheme

(Colour change from) orange / brown / red-brown to colourless / decolourised [1];
1,2-dibromopropane / dibromopropane [0.5];
(Reject: 'clear' instead of 'colourless')
Question 8 · short_answer
1.5 marks
A 12\text{ V} filament lamp draws an electric current of 0.75\text{ A}.

Calculate the electrical resistance of the lamp filament.
Show answer & marking scheme

Worked solution

Using Ohm's law:
$$R = \frac{V}{I}$$
$$R = \frac{12\text{ V}}{0.75\text{ A}} = 16\,\Omega$$

Marking scheme

Formula or substitution: \(R = \frac{V}{I}\) OR \(\frac{12}{0.75}\) [1];
Correct value with unit: 16 \(\mathbf{\Omega}\) / 16 ohms [0.5];
Question 9 · short_answer
1.5 marks
Water moves upwards through xylem vessels in the transpiration stream.

State two structural adaptations of xylem vessels that allow them to transport water efficiently.
Show answer & marking scheme

Worked solution

Xylem vessels consist of dead, hollow cells joined end-to-end with no end walls, forming a continuous tube for uninterrupted water flow. Their cell walls are reinforced with lignin, which provides structural rigidity and prevents the vessels from collapsing under negative pressure (tension).

Marking scheme

Any two from:
- Hollow / no cytoplasm / no cell contents [0.75];
- End walls broken down / continuous tube [0.75];
- Lignified / contains lignin / thickened cell walls [0.75];
- Narrow lumen (to sustain capillary action / water column) [0.75];
(Maximum 1.5 marks)
Question 10 · short_answer
1.5 marks
A radioactive sample contains \(4.8 \times 10^{12}\) undecayed nuclei and has a half-life of 20 minutes.

Calculate the number of undecayed nuclei remaining after 60 minutes.
Show answer & marking scheme

Worked solution

First determine the number of half-lives elapsed:
$$\text{Number of half-lives} = \frac{60\text{ min}}{20\text{ min}} = 3$$
Halve the initial quantity 3 times:
$$\text{After 1 half-life (20 min)} = 2.4 \times 10^{12}$$
$$\text{After 2 half-lives (40 min)} = 1.2 \times 10^{12}$$
$$\text{After 3 half-lives (60 min)} = 6.0 \times 10^{11}$$

Marking scheme

Identification of 3 half-lives elapsed OR dividing initial count by 8 / halving three times [1];
6.0 \times 10^{11} / 6 \times 10^{11} [0.5];
Question 11 · short_answer
1.5 marks
Complete the following sentences to describe the mechanism of inspiration in humans.

During inspiration, the diaphragm contracts and moves ..................................................... .

At the same time, the external intercostal muscles contract, moving the ribcage upwards and ..................................................... .
Show answer & marking scheme

Worked solution

During inhalation (inspiration), the muscular diaphragm contracts and moves downwards (flattens). Simultaneously, the external intercostal muscles contract to pull the ribs upwards and outwards, which increases the volume of the thorax and reduces the pressure inside the lungs below atmospheric pressure.

Marking scheme

downwards / down / flattens / lower [1];
outwards / out [0.5];
(Total: 1.5 marks)
Question 12 · short_answer
1.5 marks
A sample of ethene gas, \(\text{C}_2\text{H}_4\), is bubbled through aqueous bromine.

(i) State the colour change observed in the aqueous bromine.

(ii) State the type of chemical reaction that takes place.
Show answer & marking scheme

Worked solution

(i) Aqueous bromine is initially orange/brown/red-brown and becomes colourless (is decolourised) when it reacts with an alkene.
(ii) The reaction across the carbon-carbon double bond (\(\text{C}=\text{C}\)) is an addition reaction (bromination).

Marking scheme

(i) orange / brown / red-brown to colourless / decolourised [1]; (reject: clear instead of colourless)
(ii) addition [0.5];
(Total: 1.5 marks)
Question 13 · short_answer
1.5 marks
A component in a low-voltage circuit draws a current of \(0.75\text{ A}\) when a potential difference of \(12.0\text{ V}\) is applied across it.

Calculate the electrical resistance of the component. State the unit in your answer.
Show answer & marking scheme

Worked solution

Using Ohm's law / resistance formula:
\[R = \frac{V}{I}\]
\[R = \frac{12.0\text{ V}}{0.75\text{ A}} = 16\ \Omega\]

Marking scheme

correct calculation \(R = \frac{12.0}{0.75} = 16\) [1];
correct unit: \(\Omega\) / ohms [0.5];
(Total: 1.5 marks)
Question 14 · short_answer
1.5 marks
Magnesium ribbon is added to a beaker containing aqueous copper(II) sulfate, \(\text{CuSO}_4\text{(aq)}\).

(i) State one visual change seen in the solution or on the surface of the metal.

(ii) Write the balanced ionic equation, including state symbols, for this displacement reaction.
Show answer & marking scheme

Worked solution

(i) Magnesium is more reactive than copper, displacing copper ions. Visual changes: the blue solution fades/turns colourless as \(\text{Cu}^{2+}\) ions react, and a brown/pink-brown/reddish deposit of solid copper forms.
(ii) The ionic equation is \(\text{Mg(s)} + \text{Cu}^{2+}\text{(aq)} \rightarrow \text{Mg}^{2+}\text{(aq)} + \text{Cu(s)}\).

Marking scheme

(i) (blue) solution becomes colourless / fades OR pink / brown / reddish solid forms [0.5];
(ii) \(\text{Mg(s)} + \text{Cu}^{2+}\text{(aq)} \rightarrow \text{Mg}^{2+}\text{(aq)} + \text{Cu(s)}\) balanced formulae [0.5], correct state symbols [0.5];
(Total: 1.5 marks)
Question 15 · short_answer
1.5 marks
A radioactive source contains \(4.8 \times 10^{12}\) undecayed nuclei of an isotope. The half-life of this isotope is \(15\text{ minutes}\).

Calculate the number of undecayed nuclei remaining in the sample after \(45\text{ minutes}\).
Show answer & marking scheme

Worked solution

Number of half-lives elapsed \(= \frac{45\text{ min}}{15\text{ min}} = 3\).
After 1 half-life (15 min): \(4.8 \times 10^{12} \div 2 = 2.4 \times 10^{12}\)
After 2 half-lives (30 min): \(2.4 \times 10^{12} \div 2 = 1.2 \times 10^{12}\)
After 3 half-lives (45 min): \(1.2 \times 10^{12} \div 2 = 6.0 \times 10^{11}\)

Marking scheme

identifying that 3 half-lives have elapsed [0.5];
correct final answer \(6.0 \times 10^{11}\) (or \(6 \times 10^{11}\)) [1];
(Total: 1.5 marks)
Question 16 · Short answer / fill-in
1.5 marks
State two features of gas exchange surfaces in humans that allow rapid diffusion of gases.
Show answer & marking scheme

Worked solution

Alveoli and gas exchange surfaces possess adaptations to maximize the rate of diffusion according to Fick's Law: 1. A large total surface area. 2. A thin surface (one cell thick) providing a short diffusion distance. Other valid features include a moist lining or a rich capillary network/good blood supply to maintain a steep concentration gradient.

Marking scheme

Award [0.75] marks for each correct feature up to a maximum of [1.5]:
• large surface area [0.75];
• thin walls / one cell thick / short diffusion distance [0.75];
• good blood supply / well vascularised [0.75];
• good ventilation [0.75];
• moist surface [0.75].
Question 17 · structured
3 marks
An electric heater connected to a 240 V mains power supply draws a constant current of 8.5 A.

Calculate the electrical energy transferred by the heater, in megajoules (MJ), when it operates for 45 minutes.

Show your working.
Show answer & marking scheme

Worked solution

Step 1: Convert the operating time from minutes to seconds:
\(t = 45 \times 60\text{ s} = 2700\text{ s}\)

Step 2: Calculate the energy transferred in joules using the equation \(E = V \times I \times t\):
\(E = 240\text{ V} \times 8.5\text{ A} \times 2700\text{ s} = 5\,508\,000\text{ J}\)

Step 3: Convert the energy from joules (J) to megajoules (MJ):
\(E = \frac{5\,508\,000}{10^6}\text{ MJ} = 5.508\text{ MJ} \approx 5.51\text{ MJ}\)

Marking scheme

conversion of time to seconds: \(45 \times 60 = 2700\text{ (s)}\) ;
substitution into \(E = VIt\) or \(E = Pt\): \(240 \times 8.5 \times 2700\) or \(5\,508\,000\text{ (J)}\) ;
final answer in MJ: 5.51 / 5.508 (MJ) ;
Question 18 · structured
3 marks
A sample of 10.0 g of calcium carbonate, \(\text{CaCO}_3\), is heated strongly until it completely decomposes according to the following equation:

\[\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\]

Calculate the maximum mass of calcium oxide, \(\text{CaO}\), that can be produced.

\([A_r\text{: }\text{Ca} = 40;\ \text{C} = 12;\ \text{O} = 16]\)

Show your working.
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Worked solution

Step 1: Calculate relative formula masses (\(M_r\)):
\(M_r(\text{CaCO}_3) = 40 + 12 + (3 \times 16) = 100\)
\(M_r(\text{CaO}) = 40 + 16 = 56\)

Step 2: Calculate moles of \(\text{CaCO}_3\):
\(\text{moles of }\text{CaCO}_3 = \frac{10.0\text{ g}}{100\text{ g/mol}} = 0.100\text{ mol}\)

Step 3: Determine mass of \(\text{CaO}\) formed (mole ratio is 1:1):
\(\text{moles of }\text{CaO} = 0.100\text{ mol}\)
\(\text{mass of }\text{CaO} = 0.100\text{ mol} \times 56\text{ g/mol} = 5.60\text{ g}\)

Marking scheme

calculation of \(M_r\) values: \(M_r(\text{CaCO}_3) = 100\) AND \(M_r(\text{CaO}) = 56\) ;
calculation of moles of \(\text{CaCO}_3\): \(\frac{10.0}{100} = 0.10\text{ (mol)}\) ;
final mass of \(\text{CaO}\): 5.6(0) (g) ;
Question 19 · structured
3 marks
A photomicrograph shows an epidermal cell from an onion bulb. The measured length of the image of the cell is 48 mm. The actual length of the cell is \(0.080\text{ mm}\).

Calculate the magnification of the image.

Show your working.
Show answer & marking scheme

Worked solution

Step 1: State the formula linking magnification, image size, and actual size:
\(\text{magnification} = \frac{\text{image size}}{\text{actual size}}\)

Step 2: Ensure units match (both are given in mm):
\(\text{Image size} = 48\text{ mm}\)
\(\text{Actual size} = 0.080\text{ mm}\)

Step 3: Calculate magnification:
\(\text{magnification} = \frac{48}{0.080} = 600\)

Marking scheme

formula stated or implied: \(\text{magnification} = \frac{\text{image size}}{\text{actual size}}\) / \(M = \frac{I}{A}\) ;
correct substitution: \(\frac{48}{0.080}\) ;
correct calculation: (\(\times\)) 600 ;
Question 20 · structured
3 marks
A small electric model car of mass 1.4 kg accelerates uniformly from rest to a speed of \(6.5\text{ m/s}\) in a time of 3.0 s along a horizontal track.

Calculate the average useful power output of the motor during this 3.0 s period.

Show your working.
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Worked solution

Step 1: Calculate the gain in kinetic energy (\(E_k\)):
\(E_k = \frac{1}{2}mv^2 = 0.5 \times 1.4\text{ kg} \times (6.5\text{ m/s})^2\)
\(E_k = 0.7 \times 42.25 = 29.575\text{ J}\)

Step 2: Calculate the average useful power using \(P = \frac{E}{t}\):
\(P = \frac{29.575\text{ J}}{3.0\text{ s}} = 9.858\text{ W} \approx 9.9\text{ W}\)

Marking scheme

use of \(E_k = \frac{1}{2}mv^2\): \(0.5 \times 1.4 \times (6.5)^2\) OR \(29.6\text{ (J)}\) / \(29.575\text{ (J)}\) ;
use of \(P = \frac{E}{t}\) or \(P = \frac{W}{t}\): \(\frac{29.575}{3.0}\) ;
correct final power: 9.9 / 9.86 (W) ;
Question 21 · structured
3 marks
A radio station transmits a radio signal at a frequency of \(98.0\text{ MHz}\). The speed of radio waves in air is \(3.0 \times 10^8\text{ m/s}\).

Calculate the wavelength of the transmitted radio wave.

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Worked solution

Step 1: Convert the frequency from megahertz (MHz) to hertz (Hz):
\(f = 98.0\text{ MHz} = 98.0 \times 10^6\text{ Hz}\)

Step 2: Use the wave speed equation \(v = f \lambda\) rearranged for wavelength:
\(\lambda = \frac{v}{f}\)

Step 3: Substitute the known values:
\(\lambda = \frac{3.0 \times 10^8\text{ m/s}}{98.0 \times 10^6\text{ Hz}} = 3.0612\text{ m} \approx 3.06\text{ m}\)

Marking scheme

frequency conversion: \(98.0 \times 10^6\text{ (Hz)}\) ;
rearrangement and substitution: \(\lambda = \frac{3.0 \times 10^8}{98.0 \times 10^6}\) ;
correct wavelength: 3.06 (m) [accept 3.1 (m) or 3.061 (m)] ;
Question 22 · structured
3 marks
An electric immersion heater is connected to a \(230\text{ V}\) mains supply. The current passing through the heating element is \(4.5\text{ A}\).

Calculate the electrical energy transferred by the heater in \(12\text{ minutes}\). Give your answer in megajoules (\(\text{MJ}\)).

Show your working.
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Worked solution

1. Convert time to seconds:
\[t = 12 \times 60 = 720\text{ s}\]

2. Use the electrical energy formula:
\[E = V \times I \times t\]
\[E = 230\text{ V} \times 4.5\text{ A} \times 720\text{ s} = 745\,200\text{ J}\]

3. Convert joules to megajoules (\(\text{MJ}\)):
\[E = \frac{745\,200}{10^6} = 0.7452\text{ MJ} \approx 0.75\text{ MJ}\]

Marking scheme

conversion of time to seconds: \(12 \times 60 = 720\text{ s}\) [1];
use of \(E = VIt\) or \(P = VI\) and \(E = Pt\) (e.g. \(230 \times 4.5 \times 720\) or \(1035 \times 720\)) [1];
final answer \(0.7452\text{ MJ}\) / \(0.745\text{ MJ}\) / \(0.75\text{ MJ}\) [1]
Question 23 · structured
3 marks
A sample of \(12.6\text{ g}\) of magnesium carbonate, \(\text{MgCO}_3\), undergoes thermal decomposition according to the equation:

\[\text{MgCO}_3(\text{s}) \rightarrow \text{MgO}(\text{s}) + \text{CO}_2(\text{g})\]

Relative atomic masses (\(A_r\)): \(\text{Mg} = 24\), \(\text{C} = 12\), \(\text{O} = 16\).

Calculate the maximum mass of magnesium oxide, \(\text{MgO}\), that can be produced from \(12.6\text{ g}\) of \(\text{MgCO}_3\).

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Worked solution

1. Calculate relative formula masses (\(M_r\)):
\[M_r(\text{MgCO}_3) = 24 + 12 + (3 \times 16) = 84\]
\[M_r(\text{MgO}) = 24 + 16 = 40\]

2. Calculate moles of \(\text{MgCO}_3\):
\[\text{moles of } \text{MgCO}_3 = \frac{12.6}{84} = 0.15\text{ mol}\]

3. Determine mass of \(\text{MgO}\) using the 1:1 mole ratio:
\[\text{moles of } \text{MgO} = 0.15\text{ mol}\]
\[\text{mass of } \text{MgO} = 0.15\text{ mol} \times 40\text{ g/mol} = 6.0\text{ g}\]

Marking scheme

correct \(M_r\) calculation: \(M_r(\text{MgCO}_3) = 84\) AND \(M_r(\text{MgO}) = 40\) [1];
calculating moles of \(\text{MgCO}_3\): \(\frac{12.6}{84} = 0.15\text{ mol}\) [1];
calculating mass of \(\text{MgO}\): \(0.15 \times 40 = 6.0\text{ g}\) [1]
Question 24 · structured
3 marks
A photomicrograph shows a palisade mesophyll cell from a leaf. The measured length of the image of the cell is \(54\text{ mm}\). The actual length of the cell is \(75\,\mu\text{m}\).

Calculate the magnification of the image.

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Worked solution

1. Convert the measured image length into micrometres (\(\mu\text{m}\)):
\[\text{Image length} = 54\text{ mm} = 54 \times 1000\,\mu\text{m} = 54\,000\,\mu\text{m}\]

2. State or apply the magnification formula:
\[\text{Magnification} = \frac{\text{Image size}}{\text{Actual size}}\]

3. Calculate the magnification:
\[\text{Magnification} = \frac{54\,000\,\mu\text{m}}{75\,\mu\text{m}} = 720\]

Marking scheme

conversion of units so image and actual size are in the same unit (e.g. \(54\text{ mm} = 54\,000\,\mu\text{m}\) or \(75\,\mu\text{m} = 0.075\text{ mm}\)) [1];
use of formula \(\text{Magnification} = \frac{\text{image size}}{\text{actual size}}\) [1];
final answer \(720\) or \(\times 720\) [1]
Question 25 · structured
3 marks
A radio transmitter broadcasts electromagnetic waves at a frequency of \(9.6 \times 10^7\text{ Hz}\).

The speed of radio waves in air is \(3.0 \times 10^8\text{ m/s}\).

Calculate the wavelength of these radio waves. Give your answer to 2 significant figures.

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Worked solution

1. Use the wave speed equation:
\[v = f \times \lambda\]
\[\lambda = \frac{v}{f}\]

2. Substitute the values:
\[\lambda = \frac{3.0 \times 10^8\text{ m/s}}{9.6 \times 10^7\text{ Hz}}\]
\[\lambda = 3.125\text{ m}\]

3. Round to 2 significant figures:
\[\lambda \approx 3.1\text{ m}\]

Marking scheme

formula \(v = f\lambda\) or \(\lambda = \frac{v}{f}\) [1];
correct substitution: \(\frac{3.0 \times 10^8}{9.6 \times 10^7}\) [1];
correct value to 2 significant figures: \(3.1\text{ m}\) (accept \(3.13\text{ m}\) only if working shows unrounded \(3.125\) before rounding instruction) [1]
Question 26 · structured
3 marks
Propane, \(\text{C}_3\text{H}_8\), burns completely in oxygen according to the equation:

\[\text{C}_3\text{H}_8(\text{g}) + 5\text{O}_2(\text{g}) \rightarrow 3\text{CO}_2(\text{g}) + 4\text{H}_2\text{O}(\text{l})\]

Calculate the volume of oxygen gas, measured at room temperature and pressure (r.t.p.), required to react completely with \(6.6\text{ g}\) of propane.

[\(M_r(\text{C}_3\text{H}_8) = 44\); molar gas volume at r.t.p. = \(24\text{ dm}^3/\text{mol}\)]

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Worked solution

1. Calculate the number of moles of propane:
\[\text{moles of } \text{C}_3\text{H}_8 = \frac{\text{mass}}{M_r} = \frac{6.6\text{ g}}{44\text{ g/mol}} = 0.15\text{ mol}\]

2. Determine the moles of oxygen gas needed:
From the balanced equation, \(1\text{ mol}\) of \(\text{C}_3\text{H}_8\) reacts with \(5\text{ mol}\) of \(\text{O}_2\).
\[\text{moles of } \text{O}_2 = 0.15\text{ mol} \times 5 = 0.75\text{ mol}\]

3. Calculate the volume of \(\text{O}_2\) at r.t.p.:
\[\text{Volume} = \text{moles} \times 24\text{ dm}^3/\text{mol} = 0.75 \times 24 = 18\text{ dm}^3\]

Marking scheme

moles of propane \(= \frac{6.6}{44} = 0.15\text{ mol}\) [1];
moles of oxygen \(= 0.15 \times 5 = 0.75\text{ mol}\) [1];
volume of oxygen \(= 0.75 \times 24 = 18\text{ dm}^3\) (or \(18\,000\text{ cm}^3\)) [1]
Question 27 · structured_calculation
3 marks
A small electric vehicle of mass \(650\text{ kg}\) accelerates uniformly from rest to a speed of \(15\text{ m/s}\) in a time of \(5.0\text{ s}\).

Calculate the resultant force acting on the vehicle.

Show your working and state the unit.
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Worked solution

Step 1: Calculate the acceleration of the vehicle using the formula \(a = \frac{v - u}{t}\).
\(a = \frac{15\text{ m/s} - 0\text{ m/s}}{5.0\text{ s}} = 3.0\text{ m/s}^2\)

Step 2: Calculate the resultant force using Newton's second law \(F = m a\).
\(F = 650\text{ kg} \times 3.0\text{ m/s}^2 = 1950\text{ N}\)

Marking scheme

calculation of acceleration: \(a = \frac{15}{5.0} = 3.0\text{ (m/s}^2\text{)}\) [1];
use of \(F = ma\) or \(F = 650 \times 3.0\) [1];
correct numerical answer (\(1950\) / \(1.95 \times 10^3\)) AND correct unit \(\text{N}\) / newtons [1]
Question 28 · structured_calculation
3 marks
A sample of magnesium carbonate, \(\text{MgCO}_3\), decomposes when heated strongly according to the equation:

\[\text{MgCO}_3(\text{s}) \rightarrow \text{MgO}(\text{s}) + \text{CO}_2(\text{g})\]

Calculate the mass of magnesium oxide, \(\text{MgO}\), formed when \(16.8\text{ g}\) of magnesium carbonate is completely decomposed.

[\(A_\text{r}: \text{Mg} = 24, \text{C} = 12, \text{O} = 16\)]

Show your working.
Show answer & marking scheme

Worked solution

Step 1: Calculate the relative formula mass (\(M_\text{r}\)) of \(\text{MgCO}_3\) and \(\text{MgO}\).
\(M_\text{r}(\text{MgCO}_3) = 24 + 12 + (3 \times 16) = 84\)
\(M_\text{r}(\text{MgO}) = 24 + 16 = 40\)

Step 2: Calculate the amount in moles of \(\text{MgCO}_3\).
\(\text{Moles of } \text{MgCO}_3 = \frac{\text{mass}}{M_\text{r}} = \frac{16.8\text{ g}}{84} = 0.20\text{ mol}\)

Step 3: Determine the moles of \(\text{MgO}\) formed and calculate its mass.
From the 1:1 mole ratio, \(\text{moles of } \text{MgO} = 0.20\text{ mol}\).
\(\text{Mass of } \text{MgO} = 0.20\text{ mol} \times 40\text{ g/mol} = 8.0\text{ g}\)

Marking scheme

correct \(M_\text{r}\) values: \(M_\text{r}(\text{MgCO}_3) = 84\) AND \(M_\text{r}(\text{MgO}) = 40\) [1];
\(\text{moles of } \text{MgCO}_3 = \frac{16.8}{84} = 0.20\text{ (mol)}\) [1];
\(\text{mass of } \text{MgO} = 0.20 \times 40 = 8.0\text{ (g)}\) [1]
Question 29 · Multi-mark explanations
3 marks
During vigorous physical activity, the rate of breathing increases significantly to meet the oxygen demands of contracting muscle tissues.

Explain how the structure of the alveoli allows rapid and efficient gas exchange to occur. State three distinct structural adaptations and explain how each aids diffusion.
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Worked solution

The alveoli have several adaptations that maximize the rate of gas exchange according to Fick's Law:
1. A large overall surface area provided by millions of microscopic spherical alveoli, allowing more gas molecules to diffuse simultaneously.
2. Very thin walls (a single layer of flattened epithelial cells) which minimizes the diffusion distance for oxygen and carbon dioxide.
3. A rich network of surrounding blood capillaries (and continuous ventilation) that rapidly carries oxygen away and brings carbon dioxide, maintaining a steep concentration gradient across the exchange surface.

Marking scheme

1 mark for each valid structural adaptation with its linked explanation (up to max 3 marks):
- large surface area / folded membrane (1) AND allows more particles to diffuse at once / increases diffusion rate (1);
- thin walls / one cell thick / thin epithelium (1) AND provides a short diffusion pathway / distance (1);
- rich capillary network / good blood supply / continuous blood flow (1) AND maintains a steep concentration gradient (1);
- moist lining (1) AND allows gases to dissolve before diffusing (1).
Question 30 · Multi-mark explanations
3 marks
A student investigates the rate of reaction between dilute hydrochloric acid and calcium carbonate marble chips.

Explain, using collision theory, why increasing the concentration of the hydrochloric acid increases the rate of this reaction.
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Worked solution

When the concentration of hydrochloric acid is increased, there are more hydrogen ions / acid particles in a given volume of solution. Because the particles are closer together, the frequency of collisions between the acid particles and the surface of the calcium carbonate increases. Consequently, there are more successful collisions per unit time, resulting in a higher rate of reaction.

Marking scheme

Award 1 mark for each of the following points:
- more particles per unit volume / particles are closer together (1);
- increased frequency of collisions / more collisions per second / particles collide more often (1);
- more successful / effective collisions per unit time / per second (1).

[Note: Do NOT credit "more collisions" alone without reference to time / frequency / per second].
Question 31 · Multi-mark explanations
3 marks
A step-down transformer has an iron core wrapped with two separate insulated copper coils.

Explain how an alternating potential difference supplied to the primary coil induces an alternating potential difference across the secondary coil.
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Worked solution

1. An alternating potential difference applied to the primary coil causes an alternating current to flow through it.
2. This produces a continuously changing (alternating) magnetic field in the soft iron core.
3. The magnetic field passes through the core and cuts through the secondary coil, inducing an alternating electromotive force / potential difference across the secondary coil by electromagnetic induction.

Marking scheme

Award 1 mark for each point:
- alternating current / p.d. in primary coil produces a changing / alternating magnetic field (1);
- the (iron) core channels / transfers this changing magnetic field to the secondary coil (1);
- the changing magnetic field cuts the secondary coil / links through it, inducing a potential difference / voltage (1).
Question 32 · Multi-mark explanations
3 marks
Magnesium is a metal in Group II of the Periodic Table, while chlorine is a non-metal in Group VII.

Explain, in terms of electron transfer and electrostatic attraction, how magnesium and chlorine react together to form magnesium chloride, \(\text{MgCl}_2\).
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Worked solution

A magnesium atom has two valence electrons and loses both electrons to attain a stable outer shell, forming a magnesium ion with a charge of \(+2\) (\(\text{Mg}^{2+}\)). Two chlorine atoms, each needing one electron to complete their octet, each gain one of these lost electrons to form two chloride ions, each with a charge of \(-1\) (\(\text{Cl}^-\)). The oppositely charged \(\text{Mg}^{2+}\) and \(\text{Cl}^-\dots\) ions are strongly held together by electrostatic forces of attraction to form the ionic compound \(\text{MgCl}_2\).

Marking scheme

Award 1 mark for each point:
- magnesium (atom) loses two electrons to form a \(\text{Mg}^{2+}\) ion (1);
- two chlorine atoms each gain one electron (or one electron transferred to each of two Cl atoms) to form two \(\text{Cl}^-\dots\) / chloride ions (1);
- strong electrostatic attraction between oppositely charged ions / between positive and negative ions (1).
Question 33 · Multi-mark explanations
3 marks
A sealed container containing a fixed mass of gas is heated from \(20\,^\circ\text{C}\) to \(80\,^\circ\text{C}\). The volume of the container remains constant.

Explain, in terms of particles and momentum, why the pressure exerted by the gas on the walls of the container increases.
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Worked solution

When the temperature increases, the thermal energy is converted into kinetic energy, causing the gas particles to move at higher average speeds. Because the particles travel faster, they collide with the inner walls of the container more frequently. Furthermore, each collision involves a greater change in momentum, producing a larger force per collision. Since pressure is force per unit area (\(P = \frac{F}{A}\)), the total pressure exerted on the container walls increases.

Marking scheme

Award 1 mark for each point:
- particles gain kinetic energy / move faster / have higher average speed (1);
- particles collide with the walls more frequently / more collisions per second (1);
- greater change in momentum per collision / collisions exert a greater force (hence greater force per unit area / pressure) (1).
Question 34 · Multi-mark explanations
3 marks
The alveoli in human lungs provide a specialised surface for gas exchange.

Explain three features of alveoli that allow gas exchange to occur efficiently.
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Worked solution

1. Large total surface area: millions of microscopic alveoli provide an extensive surface area over which oxygen and carbon dioxide can diffuse simultaneously.
2. Very thin walls / one cell thick: this provides a short diffusion distance for gases passing between the alveolar air and the blood.
3. Good blood supply / surrounded by dense capillary network: the continuous flow of blood removes oxygen and brings carbon dioxide, maintaining a steep concentration gradient across the alveolar membrane.
(Alternative: Moist surface/lining allows gases to dissolve before diffusing).

Marking scheme

Any three from:
- large surface area (to volume ratio) / many alveoli (for rapid diffusion) [1];
- thin walls / one cell thick / thin epithelium (giving a short diffusion pathway) [1];
- rich capillary network / good blood supply (maintaining steep concentration gradient) [1];
- moist lining / layer of moisture (allowing gases to dissolve) [1];
- good ventilation / airflow (maintaining concentration gradient) [1].
Question 35 · Multi-mark explanations
3 marks
A student investigates the rate of reaction between dilute hydrochloric acid and calcium carbonate marble chips.

Explain, using ideas about collisions and particles, why increasing the temperature of the acid increases the rate of this reaction.
Show answer & marking scheme

Worked solution

When the temperature is increased:
1. Particles gain kinetic energy and move faster.
2. Particles collide more frequently / higher collision frequency.
3. A greater fraction of colliding particles have energy greater than or equal to the activation energy (\(E_a\)), resulting in a higher rate/frequency of successful (effective) collisions.

Marking scheme

Award marks for:
- particles gain kinetic energy / move faster [1];
- higher collision frequency / particles collide more often / more collisions per unit time [1];
- more particles have energy greater than / equal to the activation energy \(OR\) higher frequency of successful / effective collisions [1].
Question 36 · Multi-mark explanations
3 marks
Electricity generated at a power station is transmitted across long distances using high-voltage transmission cables.

Explain why transmitting electricity at very high voltages reduces thermal energy loss in the cables.
Show answer & marking scheme

Worked solution

1. For a given electrical power transmitted, \(P = IV\), raising the voltage (\(V\)) decreases the electric current (\(I\)).
2. The power lost as thermal energy in the transmission lines depends on the square of the current: \(P_{\text{loss}} = I^2R\).
3. Because current \(I\) is significantly reduced, the thermal energy generated per second due to the cable resistance is much lower, improving transmission efficiency.

Marking scheme

Award marks for:
- (for a constant power) higher voltage results in a lower / smaller current (\(P = IV\)) [1];
- power / thermal energy loss depends on current squared / \(P = I^2R\) / current causes heating in cables [1];
- lower current reduces heating / less thermal energy wasted to the surroundings [1].
Question 37 · Multi-mark explanations
3 marks
Crude oil is a complex mixture of hydrocarbons.

Explain how fractional distillation separates crude oil into useful fractions.
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Worked solution

1. The crude oil is heated and vaporised before entering the fractionating column.
2. The fractionating column has a temperature gradient (hotter at the base, cooler at the top).
3. Hydrocarbons with different carbon chain lengths have different boiling points (due to different strengths of intermolecular forces), so they condense at different levels/heights where the temperature equals their boiling point and are collected separately.

Marking scheme

Award marks for:
- crude oil is heated / vaporised [1];
- column is hotter at the bottom and cooler at the top / temperature gradient in the column [1];
- fractions / hydrocarbons condense at different heights / temperatures because they have different boiling points / different molecular sizes [1].
Question 38 · Multi-mark explanations
3 marks
Alpha (\(\alpha\)) particles have a high ionising power but a very short range in air (only a few centimetres).

Explain why alpha particles ionise air strongly and why this causes them to have a short range.
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Worked solution

1. Alpha particles have a large mass and a relatively large charge (\(+2e\)) compared to beta particles or gamma rays.
2. This strong electric field / large charge allows them to easily attract and knock electrons out of neutral air atoms/molecules (high ionising ability).
3. Every ionisation event causes the alpha particle to transfer kinetic energy; because it causes many ionisations per unit distance, it loses its kinetic energy rapidly, leading to a short penetration range.

Marking scheme

Award marks for:
- alpha particles have a large charge (\(+2\)) / large mass / slow speed compared to beta [1];
- easily pull / remove electrons from atoms / molecules due to strong electrostatic attraction [1];
- (rapid) loss of kinetic energy per collision / each ionisation removes energy, so the particle stops quickly / over a short distance [1].
Question 39 · explanation
3 marks
During intense physical exercise, an athlete's ventilation rate (breathing rate) and depth of breathing both increase significantly.

Explain why these changes occur. Use ideas about muscle activity, cellular respiration, and blood composition in your answer.
Show answer & marking scheme

Worked solution

1. During exercise, working muscles contract more vigorously and require increased energy/ATP, which is supplied by an increased rate of aerobic respiration.
2. Increased respiration produces more carbon dioxide as a waste product, which dissolves in the blood and decreases blood pH (making it more acidic).
3. This increase in carbon dioxide concentration is detected by receptors/the brain, which signals the diaphragm and intercostal muscles to increase the rate and depth of ventilation to remove carbon dioxide rapidly and supply more oxygen to the muscles.

Marking scheme

Any three from:
- (increased) muscle contraction / activity requires more energy / ATP (from respiration) ;
- (increased) rate of aerobic respiration produces more carbon dioxide / lowers blood pH ;
- higher carbon dioxide / lower pH detected by receptors / brain (respiratory centre) ;
- increased ventilation removes \(\text{CO}_2\) faster / supplies \(\text{O}_2\) faster (to meet metabolic demand / repay oxygen debt) ;
Question 40 · diagram_completion
3 marks
Fig. 1.1 shows an object placed in front of a thin converging lens. The principal foci of the lens are labelled \(F\). On Fig. 1.1: (i) draw a ray from the top of the object parallel to the principal axis and show its path through and beyond the lens; [1] (ii) draw a ray from the top of the object passing straight through the optical centre of the lens; [1] (iii) draw an arrow to show the position and orientation of the real image formed. [1]
Show answer & marking scheme

Worked solution

1. Ray 1 starts at the tip of the object, travels parallel to the principal axis to the lens axis, and refracts downwards passing directly through the principal focus \(F\) on the right side of the lens. 2. Ray 2 travels from the tip of the object straight through the optical centre of the lens without bending. 3. The real image is located where the two rays intersect beyond \(F\). An arrow is drawn with its tail on the principal axis and its head at the intersection point, pointing downwards to show an inverted image.

Marking scheme

(i) Straight ray from top of object parallel to axis, refracted through \(F\) on right of lens [1]; (ii) Straight undeviated ray from top of object passing through optical centre [1]; (iii) Inverted arrow drawn from axis to ray intersection [1].
Question 41 · diagram_completion
3 marks
Fig. 3.1 represents an alveolus and an adjacent blood capillary in a human lung. (a) On Fig. 3.1, draw an arrow labelled O to show the direction of net diffusion of oxygen. [1] (b) On Fig. 3.1, draw an arrow labelled C to show the direction of net diffusion of carbon dioxide. [1] (c) State the name of the blood component that transports most of the oxygen in the blood. [1]
Show answer & marking scheme

Worked solution

(a) In the alveoli, the concentration of oxygen is higher than in the deoxygenated blood arriving at the capillary, so oxygen diffuses down its concentration gradient from the alveolus into the capillary. (b) The concentration of carbon dioxide in the capillary blood is higher than in the alveolus, so carbon dioxide diffuses from the capillary into the alveolus. (c) Oxygen binds reversibly to haemoglobin inside red blood cells (erythrocytes) to form oxyhaemoglobin.

Marking scheme

(a) Arrow labelled O pointing from alveolus lumen into capillary [1]; (b) Arrow labelled C pointing from capillary into alveolus lumen [1]; (c) Red blood cells / erythrocytes / haemoglobin [1].
Question 42 · diagram_completion
3 marks
A model electric car accelerates uniformly from rest to a speed of \(6.0\text{ m/s}\) in \(4.0\text{ s}\). It then travels at a constant speed of \(6.0\text{ m/s}\) for \(6.0\text{ s}\), before decelerating uniformly to rest in a further \(2.0\text{ s}\). On the grid in Fig. 4.1, complete the speed-time graph for the entire \(12.0\text{ s}\) motion of the car.
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Worked solution

1. Initial acceleration: From time \(t = 0\text{ s}\), \(v = 0\text{ m/s}\) to \(t = 4.0\text{ s}\), \(v = 6.0\text{ m/s}\), draw a straight line. 2. Constant speed: From \(t = 4.0\text{ s}\) to \(t = 4.0 + 6.0 = 10.0\text{ s}\), the speed remains constant at \(6.0\text{ m/s}\), represented by a horizontal line. 3. Deceleration: From \(t = 10.0\text{ s}\) to \(t = 10.0 + 2.0 = 12.0\text{ s}\), the speed decreases uniformly to \(0\text{ m/s}\), represented by a straight line down to the time axis at \((12.0, 0)\).

Marking scheme

Straight line drawn from \((0, 0)\) to \((4.0, 6.0)\) [1]; horizontal straight line drawn from \((4.0, 6.0)\) to \((10.0, 6.0)\) [1]; straight line drawn from \((10.0, 6.0)\) to \((12.0, 0)\) [1].
Question 43 · diagram_completion
3 marks
The reaction between zinc and dilute hydrochloric acid is exothermic. Fig. 5.1 shows an incomplete reaction pathway diagram for this reaction. On Fig. 5.1: (i) draw and label a horizontal line to represent the energy level of the products; [1] (ii) draw a vertical arrow labelled \(\Delta H\) to show the overall enthalpy change of the reaction; [1] (iii) draw a vertical arrow labelled \(E_{\text{a}}\) to show the activation energy of the reaction. [1]
Show answer & marking scheme

Worked solution

(i) In an exothermic reaction, energy is released to the surroundings, so the products have lower chemical energy than the reactants. A horizontal line must be drawn below the level of the reactants and labelled 'products'. (ii) \(\Delta H\) represents the overall energy change, shown by a vertical arrow starting at the level of the reactants and pointing downwards to the level of the products. (iii) The activation energy \(E_{\text{a}}\) is the minimum energy required to start the reaction, shown by an upward arrow extending from the reactant energy level to the top peak of the energy barrier.

Marking scheme

(i) Horizontal line drawn below the reactants line and clearly labelled products [1]; (ii) Vertical arrow drawn from reactant level to product level labelled \(\Delta H\) / enthalpy change [1]; (iii) Vertical arrow from reactant level to highest point of curve labelled \(E_{\text{a}}\) / activation energy [1].
Question 44 · Diagram completion / Plotting
2 marks
Fig. 1.1 shows a ray of light entering a rectangular glass block at an angle of incidence of \(45^\circ\).

(a) On Fig. 1.1:
(i) draw the normal at the boundary where the ray enters the glass block;
(ii) draw the path of the refracted ray inside the glass block.
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Worked solution

1. The normal is defined as a line perpendicular (at \(90^\circ\)) to the surface of the block at the point of incidence.
2. When light travels from a less optically dense medium (air) into a more optically dense medium (glass), it slows down and refracts towards the normal line. Therefore, the refracted ray inside the glass must make an angle with the normal that is smaller than the angle of incidence (\(r < 45^\circ\)).

Marking scheme

(i) normal drawn as a straight line perpendicular to the glass-air boundary at the point of incidence (dashed or solid) [1];
(ii) refracted ray drawn inside the block bent towards the normal (angle of refraction clearly smaller than angle of incidence) [1]
Question 45 · Diagram completion
2 marks
Fig. 1.1 represents a thin converging lens with optical centre \(C\) and principal focuses labelled \(F\). An illuminated object \(O\) is positioned to the left of the lens.

On Fig. 1.1, draw two standard rays from the top of object \(O\) to determine the position of the image formed. Draw and label the image \(I\).
Show answer & marking scheme

Worked solution

1. Draw a ray from the top of object \(O\) travelling parallel to the principal axis to the centre line of the lens, then refract it downwards so that it passes straight through the principal focus \(F\) on the right side of the lens.
2. Draw a second ray from the top of object \(O\) travelling straight through the optical centre \(C\) of the lens without any deviation.
3. At the point where the two refracted rays intersect on the right of the lens, draw an inverted vertical arrow from the principal axis to the intersection point and label it \(I\).

Marking scheme

one ray from top of \(O\) parallel to principal axis refracted through \(F\) on the right-hand side OR one ray from top of \(O\) passing straight through the optical centre \(C\) without bending;
second correct ray drawn and inverted image labelled \(I\) at the intersection of the two rays;
Question 46 · Diagram completion
2 marks
Fig. 2.1 shows an incomplete dot-and-cross diagram of a molecule of ammonia, \(\text{NH}_3\).

Complete Fig. 2.1 to show the arrangement of the outer shell electrons only. Use dots (\(\bullet\)) to represent electrons from nitrogen and crosses (\(\times\)) to represent electrons from hydrogen.
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Worked solution

1. Nitrogen is in Group V and has 5 outer shell electrons. Hydrogen is in Group I and has 1 outer shell electron.
2. Nitrogen forms 3 single covalent bonds by sharing one electron with each of the three hydrogen atoms. In each of the three overlap areas between the nitrogen circle and a hydrogen circle, draw one dot (\(\bullet\)) and one cross (\(\times\)).
3. This accounts for 3 of nitrogen's 5 outer electrons. Place the remaining 2 non-bonding electrons as a lone pair (two dots, \(\bullet\bullet\)) on the nitrogen atom outside the bond overlaps.
4. Verify that each hydrogen atom has 2 shared electrons and nitrogen has a complete octet of 8 outer electrons.

Marking scheme

one shared pair of electrons consisting of one dot and one cross (\(\bullet\times\)) in each of the three \(\text{N}-\text{H}\) overlap regions;
one non-bonding pair of dots (\(\bullet\bullet\)) on the nitrogen atom and no additional electrons on any hydrogen atom;

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