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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-LevelPhysicsPhysical quantities and unitsMay/June 2015

The average kinetic energy E of a gas molecule is given by the equation E = k T where T is the absolute (kelvin) temperature. What are the SI base ...

A-LevelPhysicsPhysical quantities and unitsMay/June 2015

An analogue ammeter has a pointer which moves over a scale. Following prolonged use, the pointer does not return fully to zero when the current is ...

A-LevelPhysicsPhysical quantities and unitsMay/June 2015

The arrow represents the vector R. Which diagram does not represent R as two perpendicular components?

A-LevelPhysicsD.C. circuitsMay/June 2015

A power supply of electromotive force (e.m.f.) 50V and negligible internal resistance is connected in series with resistors of resistance 100Ω and ...

A-LevelPhysicsPhysical quantities and unitsMay/June 2015

A single sheet of aluminium foil is folded twice to produce a stack of four sheets. The total thickness of the stack of sheets is measured to be (0...

A-LevelPhysicsKinematicsMay/June 2015

In an experiment to determine the acceleration of free fall g, a ball bearing is held by an electromagnet. When the current to the electromagnet is...

A-LevelPhysicsKinematicsMay/June 2015

A stone is thrown horizontally from the top of a cliff. Air resistance is negligible. Which graph shows the variation with time of the vertical com...

A-LevelPhysicsKinematicsMay/June 2015

A sprinter runs a 100 m race in a straight line. He accelerates from the starting block at a constant acceleration of 2.5 m s⁻² to reach his maximu...

A-LevelPhysicsDynamicsMay/June 2015

A firework rocket is fired vertically upwards. The fuel burns and produces a constant upwards force on the rocket. After 5 seconds there is no fuel...

A-LevelPhysicsDynamicsMay/June 2015

Trolley X, moving along a horizontal frictionless track, collides with a stationary trolley Y. The two trolleys become attached and move off togeth...

A-LevelPhysicsDynamicsMay/June 2015

An astronaut throws a stone with a horizontal velocity near to the Moon's surface. Which row describes the horizontal and vertical forces acting on...

A-LevelPhysicsDynamicsMay/June 2015

Newton's third law of motion is often summarised as 'Every action (force) has an equal and opposite reaction.' A book rests on a table. If the weig...

A-LevelPhysicsWork, energy and powerMay/June 2015

A uniform solid block has weight 500 N, width 0.4 m and height 0.6 m. The block rests on the edge of a step of depth 0.8 m, as shown. [Figure showi...

A-LevelPhysicsWork, energy and powerMay/June 2015

The diagram shows a hydroelectric power station. [Figure showing a reservoir, a pipe (penstock) leading down to a turbine house, and points X (in r...

A-LevelPhysicsWork, energy and powerMay/June 2015

A fisherman lifts a fish of mass 250 g from rest through a vertical height of 1.8 m. The fish gains a speed of 1.1 m s⁻¹. What is the energy gained...

A-LevelPhysicsWork, energy and powerMay/June 2015

Water from a reservoir is fed to the turbine of a hydroelectric system at a rate of 500 kg s⁻¹. The reservoir is 300 m above the level of the turbi...

A-LevelPhysicsTemperatureMay/June 2015

Which row correctly describes the ordering and motion of the molecules in liquid water and in ice when both are at a temperature of 0 °C?

A-LevelPhysicsForces, density and pressureMay/June 2015

The maximum pressure that granite rock can withstand is 2.0 × 10⁸ N m⁻². Above this pressure, the rock begins to flow like a liquid. The density of...

A-LevelPhysicsDeformation of solidsMay/June 2015

To determine the Young modulus of a wire, several measurements are taken. In which row can the measurement not be taken directly with the stated ap...

A-LevelPhysicsDeformation of solidsMay/June 2015

A long, thin metal wire is suspended from a fixed support and hangs vertically. Masses are suspended from its lower end. The load on the lower end ...

A-LevelPhysicsDeformation of solidsMay/June 2015

The diagram represents a steel tube with wall thickness w which is small in comparison with the diameter of the tube. [Figure showing a tube under ...

A-LevelPhysicsWavesMay/June 2015

Two light waves of the same frequency are represented by the diagram. [Figure showing two sinusoidal displacement-phase angle graphs. Both start at...

A-LevelPhysicsWavesMay/June 2015

A sound wave has a speed of 330 m s⁻¹ and a frequency of 50 Hz. What is a possible distance between two points on the wave that have a phase differ...

A-LevelPhysicsSuperpositionMay/June 2015

What is not an essential condition for an observable interference pattern to occur between the waves from two sources?

A-LevelPhysicsSuperpositionMay/June 2015

Source S emits microwaves with a constant amplitude. The microwaves hit a metal screen P and are reflected. A stationary wave is formed between S a...

A-LevelPhysicsWavesMay/June 2015

A pattern of waves was observed without being able to view the source of the waves. The pattern is represented in the diagram. [Figure showing a se...

A-LevelPhysicsElectric fieldsMay/June 2015

A positive charge and a negative charge of equal magnitude are placed a short distance apart. Which diagram best represents the associated electric...

A-LevelPhysicsElectric fieldsMay/June 2015

A charged oil drop of mass m, with n excess electrons, is held stationary in the uniform electric field between two horizontal plates separated by ...

A-LevelPhysicsPhysical quantities and unitsMay/June 2015

Which unit is not used in either the definition of the coulomb or the definition of the volt?

A-LevelPhysicsDeformation of solidsMay/June 2015

When a thin metal wire is stretched, it becomes longer and thinner. This causes a change in the resistance of the wire. The volume of the wire rema...

A-LevelPhysicsElectricityMay/June 2015

Which statement is not valid?

A-LevelPhysicsD.C. circuitsMay/June 2015

A cell of e.m.f. E delivers a charge Q to an external circuit. Which statement is correct?

A-LevelPhysicsD.C. circuitsMay/June 2015

A potential divider circuit consists of fixed resistors of resistance 2.0 Ω and 4.0 Ω connected in series with a 3.0 Ω resistor fitted with a slidi...

A-LevelPhysicsD.C. circuitsMay/June 2015

A cell of e.m.f. 2.0 V and negligible internal resistance is connected to a network of resistors as shown. [Figure showing a 2.0V cell connected to...

A-LevelPhysicsNuclear physicsMay/June 2015

An experiment in which α-particles were deflected by a gold foil produced new insights into the structure of the atom. Which conclusion can be draw...

A-LevelPhysicsNuclear physicsMay/June 2015

A radioactive substance contains a number of identical nuclei that emit β-particles. Which property of these nuclei remains unaltered by the emission?

A-LevelPhysicsNuclear physicsMay/June 2015

A uranium-238 nucleus, ₂₃₈U, undergoes nuclear decays to form uranium-234, ₂³⁴U. Which series of decays could give this result?

A-LevelPhysicsPhysical quantities and unitsMay/June 2016

Which quantity with its unit is correct?

A-LevelPhysicsPhysical quantities and unitsMay/June 2016

The luminosity L of a star is given by L = 4πr² σΤ⁴ where r is the radius of the star, T is the temperature of the star, σ is a constant with uni...

A-LevelPhysicsPhysical quantities and unitsMay/June 2016

The diagram shows two vectors X and Y, drawn to scale. Y X If X = Y – Z, which diagram best represents the vector Z?

A-LevelPhysicsPhysical quantities and unitsMay/June 2016

The diagram shows a cathode-ray oscilloscope (c.r.o.) being used to measure the rate of rotation of a flywheel. [Figure 4.1] The flywheel has a sma...

A-LevelPhysicsPhysical quantities and unitsMay/June 2016

A student determines the density ρ of steel by taking measurements from a steel wire. mass m = 6.2 ± 0.1 g length l = 25.0 ± 0.1 cm diameter d = 2...

A-LevelPhysicsKinematicsMay/June 2016

The acceleration of free fall on the Moon is 1.6ms⁻². The Moon has no atmosphere. An astronaut standing on the surface of the Moon drops a feather....

A-LevelPhysicsDynamicsMay/June 2016

A tennis ball is released from rest at the top of a tall building. Which graph best represents the variation with time t of the acceleration a of ...

A-LevelPhysicsKinematicsMay/June 2016

The graph shows how the velocity v of an object moving in a straight line varies with time t from t = 0 to t = T. [Figure 8.1] Which graph represe...

A-LevelPhysicsDynamicsMay/June 2016

A ball falls vertically onto horizontal ground and rebounds, as shown. [Figure 9.1] The ball has momentum p₁ downwards just before hitting the grou...

A-LevelPhysicsDynamicsMay/June 2016

A sphere falls from rest through the air. The graph shows the variation with time of the sphere's velocity. [Figure 10.1] Which diagram shows the ...

A-LevelPhysicsDynamicsMay/June 2016

A ball of mass m travelling at velocity u collides with a stationary ball of mass M. After collision the two balls travel at velocities v and V res...

A-LevelPhysicsForces, density and pressureMay/June 2016

A light rigid rod XY has an object of weight W fixed at one end. The rod is in equilibrium, resting on a roller at Z and a vertical wall at X. The ...

A-LevelPhysicsForces, density and pressureMay/June 2016

In a large container in an oil refinery, three oils of different densities are mixed. No chemical activity occurs. The mixture consists of 1200 kg...

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