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Cambridge Past Paper Questions

Browse 23,045questions from 25 years of O-Level & A-Level exams. Click any question to practice.

A-LevelPhysicsForces, density and pressureOct/Nov 2017

A street lamp is fixed to a wall by a metal rod and a cable. [Figure showing a street lamp supported by a wall, metal rod, and cable] Which vector ...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

Two rigid steel beams XY and YZ are fixed at their lower ends and are hinged at Y. Each beam is inclined at 50° to the horizontal, as shown. A weig...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

Air is trapped inside a glass bulb which is immersed in water and attached to a U-tube containing mercury. The densities of water and mercury are ρ...

A-LevelPhysicsWork, energy and powerOct/Nov 2017

A ball of mass m is thrown up to height h in air with an initial velocity v, as shown. [Figure showing a ball thrown upwards from P to Q, reaching ...

A-LevelPhysicsWork, energy and powerOct/Nov 2017

Car X is travelling at half the speed of car Y. Car X has twice the mass of car Y. Which statement is correct?

A-LevelPhysicsD.C. circuitsOct/Nov 2017

During refuelling, a petrol car receives 50 litres of fuel in 90 seconds. The petrol has 34 MJ of energy per litre. For an electric car to receive ...

A-LevelPhysicsDeformation of solidsOct/Nov 2017

A bolt is subjected to a tensile force, as shown. [Figure showing a bolt with two sections, one with diameter 2d at X and another with diameter d a...

A-LevelPhysicsDeformation of solidsOct/Nov 2017

A rectangular block of steel supporting a very large component of a bridge has a height of 15 cm and a cross-section of 20 cm × 12 cm. It is design...

A-LevelPhysicsWavesOct/Nov 2017

Which wave is a longitudinal wave?

A-LevelPhysicsSuperpositionOct/Nov 2017

A vibrating tuning fork is held above a glass cylinder filled to the top with water. The water level is steadily lowered. A loud sound is first hea...

A-LevelPhysicsWavesOct/Nov 2017

A train that is moving in a straight line along a railway track has a whistle that continuously emits sound of frequency f. A woman standing by the...

A-LevelPhysicsWavesOct/Nov 2017

Orange light in a vacuum has a wavelength of 600 nm. What is the frequency of this light?

A-LevelPhysicsSuperpositionOct/Nov 2017

A stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm. What is the wavelength of the sound wave?

A-LevelPhysicsWavesOct/Nov 2017

Which diagram shows the diffraction of water waves in a ripple tank?

A-LevelPhysicsWavesOct/Nov 2017

A hill stands between a radio transmitter and a house, as shown. [Figure showing a hill between a radio transmitter and a house] The radio transmit...

A-LevelPhysicsSuperpositionOct/Nov 2017

In an experiment to demonstrate double-slit interference using light, the distance from the slits to the screen is doubled and the slit separation ...

A-LevelPhysicsElectric fieldsOct/Nov 2017

The diagram shows two metal plates connected to a constant high voltage. [Figure showing two parallel metal plates separated by distance d connecte...

A-LevelPhysicsElectric fieldsOct/Nov 2017

An electron moves between two points X and Y in a uniform electric field, as shown. [Figure showing a uniform electric field with points X and Y, w...

A-LevelPhysicsElectricityOct/Nov 2017

Two copper wires are joined together and carry a current, as shown. [Figure showing two copper wires P (diameter d) and Q (diameter 2d) joined in s...

A-LevelPhysicsElectricityOct/Nov 2017

Which graph represents a metallic conductor, where the resistance of the conductor is given by the gradient of the graph?

A-LevelPhysicsD.C. circuitsOct/Nov 2017

A typical mobile phone battery has an e.m.f. of 5.0 V and an internal resistance of 200 mΩ. What is the terminal p.d. of the battery when it suppli...

A-LevelPhysicsD.C. circuitsOct/Nov 2017

The circuit shown contains a resistor S that is neither in series nor in parallel with the other resistors. [Figure showing a complex circuit diagr...

A-LevelPhysicsD.C. circuitsOct/Nov 2017

The diagram shows a potential divider connected to a 12 V supply of negligible internal resistance. [Figure showing a potential divider circuit wit...

A-LevelPhysicsNuclear physicsOct/Nov 2017

The diagram shows a sequence of radioactive decays involving three α-particles and a β⁻ particle. [Figure showing a decay chain: ²³⁷₉₃Np → Q (α) → ...

A-LevelPhysicsParticle physicsOct/Nov 2017

Which combination of up (u) and down (d) quarks forms a neutron?

A-LevelPhysicsForces, density and pressureOct/Nov 2017

The drag force FD acting on a sphere moving through a fluid is given by the expression FD = Kρv² where K is a constant, ρ is the density of the flu...

A-LevelPhysicsKinematicsOct/Nov 2017

The variation with time t of the velocity v of two cars P and Q is shown in Fig. 2.1. The cars travel in the same direction along a straight road. ...

A-LevelPhysicsSuperpositionOct/Nov 2017

A tube is open at both ends. A loudspeaker, emitting sound of a single frequency, is placed near one end of the tube, as shown in Fig. 3.1. The spe...

A-LevelPhysicsDeformation of solidsOct/Nov 2017

A wire is designed to ensure that its strain does not exceed 4.0 × 10⁻⁴ when a force of 8.0kN is applied. The Young modulus of the metal of the wir...

A-LevelPhysicsD.C. circuitsOct/Nov 2017

Three cells of electromotive forces (e.m.f.) E₁, E₂ and E₃ are connected into a circuit, as shown in Fig. 5.1. The circuit contains resistors of re...

A-LevelPhysicsElectric fieldsOct/Nov 2017

Two parallel metal plates in a vacuum are separated by a distance of 15mm, as shown in Fig. 6.1. A uniform electric field is produced between the p...

A-LevelPhysicsD.C. circuitsOct/Nov 2017

Wires are used to connect a battery of negligible internal resistance to a lamp, as shown in Fig. 7.1. The lamp is at its normal operating temperat...

A-LevelPhysicsParticle physicsOct/Nov 2017

A neutron within a nucleus decays to produce a proton, a β⁻ particle and an (electron) antineutrino. n → p + β⁻ + ν̄

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

One end of a wire is connected to a fixed point. A load is attached to the other end so that the wire hangs vertically. The diameter d of the wire ...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

A-LevelPhysicsForces, density and pressureOct/Nov 2017

A spring is attached at one end to a fixed point and hangs vertically with a cube attached to the other end. The cube is initially held so that the...

A-LevelPhysicsElectric fieldsOct/Nov 2017

A-LevelPhysicsElectricityOct/Nov 2017

A-LevelPhysicsNuclear physicsOct/Nov 2017

A stationary nucleus X decays by emitting a ẞ⁺ particle to form a nucleus of carbon-13 (¹³C). An incomplete equation to represent this decay is X →...

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

Answer all the questions in the spaces provided. (b) All bodies radiate energy. The power P radiated by a body is given by P = kAT⁴ where T is the...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

A liquid of density ρ fills a container to a depth h, as shown in Fig. 2.1. [Figure 2.1] The base of the container has area A. (c) The liquid in t...

A-LevelPhysicsDynamicsOct/Nov 2017

(a) State the principle of conservation of momentum. (b) Ball A moves with speed v along a horizontal frictionless surface towards a stationary bal...

A-LevelPhysicsWavesOct/Nov 2017

(a) By reference to the direction of propagation of energy, explain what is meant by a longitudinal wave. (b) A car horn emits a sound wave of freq...

A-LevelPhysicsElectric fieldsOct/Nov 2017

(a) Define electric field strength. (b) Two parallel metal plates in a vacuum are separated by 0.045m. A potential difference V is applied between ...

A-LevelPhysicsD.C. circuitsOct/Nov 2017

A filament lamp is rated as 30W, 120V. A potential difference of 120V is applied across the lamp.

A-LevelPhysicsNuclear physicsOct/Nov 2017

(a) A nucleus X decays by emitting a β⁺ particle to form a new nucleus, ²³₁₁Na. State the number of nucleons and the number of neutrons in nucleus ...

A-LevelPhysicsOscillationsOct/Nov 2017

In this experiment, you will investigate the motion of a Y-shaped pendulum.

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

In this experiment, you will investigate the appearance of a line viewed through a jar containing water.

A-LevelPhysicsOscillationsOct/Nov 2017

In this experiment, you will investigate the rotational motion of a mass.

A-LevelPhysicsForces, density and pressureOct/Nov 2017

In this experiment, you will investigate the equilibrium of a metre rule supported by springs.

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