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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-LevelPhysicsDynamicsOct/Nov 2009

A supermarket trolley, total mass 30 kg, is moving at 3.0 m s⁻¹. A retarding force of 60 N is applied to the trolley for 0.50 s in the opposite dir...

A-LevelPhysicsForces, density and pressureOct/Nov 2009

What is the centre of gravity of an object?

A-LevelPhysicsForces, density and pressureOct/Nov 2009

The diagrams show two ways of hanging the same picture. [Figure 11.1] In both cases, a string is attached to the same points on the picture and loo...

A-LevelPhysicsForces, density and pressureOct/Nov 2009

The diagram shows two pulley wheels connected by a belt. [Figure 12.1] Wheel Q is driven by a motor and rotates clockwise at a constant rate. Wheel...

A-LevelPhysicsWork, energy and powerOct/Nov 2009

Two trolleys are placed together on a horizontal runway with a compressed spring between them. [Figure 14.1] When they are released, the 2 kg troll...

A-LevelPhysicsWork, energy and powerOct/Nov 2009

An electric railway locomotive has a maximum mechanical output power of 4.0 MW. Electrical power is delivered at 25 kV from overhead wires. The ove...

A-LevelPhysicsTemperatureOct/Nov 2009

The diagram shows an ice cube floating in water. [Figure 16.1] Both the ice cube and the water are at 0°C. Which statement correctly compares the m...

A-LevelPhysicsIdeal gasesOct/Nov 2009

In the kinetic model of gases, what is pressure equal to?

A-LevelPhysicsForces, density and pressureOct/Nov 2009

A rectangular metal bar exerts a pressure of 15 200 Pa on the horizontal surface on which it rests. If the height of the metal bar is 80 cm, what i...

A-LevelPhysicsDeformation of solidsOct/Nov 2009

Which row best defines elastic and plastic behaviour of a material?

A-LevelPhysicsDeformation of solidsOct/Nov 2009

The graph shows the non-linear force-extension curve for a wire made from a new material. [Figure 20.1] What could be the value of the strain energ...

A-LevelPhysicsDeformation of solidsOct/Nov 2009

A steel string on an electric guitar has the following properties. diameter = 5.0 × 10⁻⁴ m, Young modulus = 2.0 × 10¹¹ Pa, tension = 20 N. The stri...

A-LevelPhysicsWavesOct/Nov 2009

The order of magnitude of the frequency of the longest-wavelength ultraviolet waves is expressed as 10ˣ Hz. What is the value of x?

A-LevelPhysicsWavesOct/Nov 2009

The light from two lasers passes through a vacuum. One laser emits red light and the other emits green light. Which property of the two laser beams...

A-LevelPhysicsSuperpositionOct/Nov 2009

The diagram shows a standing wave on a string. The standing wave has three nodes N₁, N₂ and N₃. [Figure 24.1] Which statement is correct?

A-LevelPhysicsSuperpositionOct/Nov 2009

A parallel beam of light of wavelength 450 nm falls normally on a diffraction grating which has 300 lines/mm. What is the total number of transmitt...

A-LevelPhysicsElectric fieldsOct/Nov 2009

A small charge q is placed in the electric field of a large charge Q. Both charges experience a force F. What is the electric field strength of the...

A-LevelPhysicsElectric fieldsOct/Nov 2009

The diagram shows two parallel horizontal metal plates held at a potential difference V. [Figure 27.1] A small charged liquid drop, midway between ...

A-LevelPhysicsElectric fieldsOct/Nov 2009

The electric field at a certain distance from an isolated alpha particle is 3.0 × 10⁷ N C⁻¹. What is the force on an electron when at that distance...

A-LevelPhysicsD.C. circuitsOct/Nov 2009

A cell is connected to a resistor. [Figure 29.1] At any given moment, the potential difference across the cell is less than its electromotive force...

A-LevelPhysicsD.C. circuitsOct/Nov 2009

Which values of current and resistance will produce a rate of energy transfer of 16 J s⁻¹?

A-LevelPhysicsElectricityOct/Nov 2009

A cylindrical wire 4.0 m long has a resistance of 31 Ω and is made of metal of resistivity 1.0 × 10⁻⁶ Ω m. What is the radius of cross-section of t...

A-LevelPhysicsElectricityOct/Nov 2009

The diagram shows the symbol for a wire carrying a current I. [Figure 33.1] What does this current represent?

A-LevelPhysicsD.C. circuitsOct/Nov 2009

A potential divider consisting of resistors of resistance R₁ and R₂ is connected across a potential difference of V₀ and gives an output p.d. of V....

A-LevelPhysicsD.C. circuitsOct/Nov 2009

A network of resistors consists of two 3.0 Ω resistors and three 6.0 Ω resistors. [Figure 35.1] What is the combined resistance of this network bet...

A-LevelPhysicsNuclear physicsOct/Nov 2009

The gold nucleus ¹⁸⁵₇₉Au undergoes alpha decay. What are the nucleon (mass) number and proton (atomic) number of the nucleus formed by this decay?

A-LevelPhysicsNuclear physicsOct/Nov 2009

The nuclei of the isotopes of an element all contain the same number of a certain particle. What is this particle?

A-LevelPhysicsNuclear physicsOct/Nov 2009

Alpha, beta and gamma radiations: 1 are absorbed to different extents in solids, 2 behave differently in an electric field, 3 behave differently in...

A-LevelPhysicsNuclear physicsOct/Nov 2009

Two α-particles with equal energies are fired towards the nucleus of a gold atom. Which diagram best represents their paths? [Figure 39.1]

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2009

The table contains some quantities, together with their symbols and units. [Figure 40.1] Which expression has the units of energy?

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2010

Which row shows a base quantity with its correct SI unit?

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2010

The frictional force F on a sphere falling through a fluid is given by the formula F = 6πηv where a is the radius of the sphere, η is a constant re...

A-LevelPhysicsKinematicsOct/Nov 2010

What is the component of this displacement vector in the direction XY? [Figure showing a displacement vector of 5.0 km at 53° to the X-Y line]

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2010

A metre rule is used to measure the length of a piece of wire. It is found to be 70 cm long to the nearest millimetre. How should this result be re...

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2010

A quantity x is to be determined from the equation x = P - Q. P is measured as 1.27 ± 0.02 m. Q is measured as 0.83 ± 0.01 m. What is the percentag...

A-LevelPhysicsDynamicsOct/Nov 2010

A football is dropped from the top of a three-storey building. It falls through air until it reaches the ground. What remains constant throughout t...

A-LevelPhysicsKinematicsOct/Nov 2010

A student throws a ball in the positive direction vertically upwards. The ball makes an elastic collision with the ceiling, rebounds and accelerate...

A-LevelPhysicsKinematicsOct/Nov 2010

A moving body undergoes uniform acceleration while travelling in a straight line between points X, Y and Z. The distances XY and YZ are both 40 m. ...

A-LevelPhysicsDynamicsOct/Nov 2010

A particle of mass 2m and velocity v strikes a wall. [Figure showing a particle of mass 2m moving with velocity v towards a wall.] The particle reb...

A-LevelPhysicsForces, density and pressureOct/Nov 2010

Which defines the weight of a body?

A-LevelPhysicsForces, density and pressureOct/Nov 2010

The diagram shows a rope bridge that a student makes on an adventure training course. The student has a weight W. [Figure showing a student on a ro...

A-LevelPhysicsForces, density and pressureOct/Nov 2010

A spanner is used to tighten a nut as shown. [Figure showing a spanner applying a force F = 200 N at a distance of 0.25 m from the nut. The nut has...

A-LevelPhysicsForces, density and pressureOct/Nov 2010

The diagrams show a metal cube suspended from a spring balance before and during immersion in water. [Figure showing a spring balance suspending a ...

A-LevelPhysicsWork, energy and powerOct/Nov 2010

A box of weight 200 N is pushed so that it moves at a steady speed along a ramp, through a height of 1.5 m. The ramp makes an angle of 30° with the...

A-LevelPhysicsWork, energy and powerOct/Nov 2010

A raindrop of mass m is falling vertically through the air with a steady speed v. The raindrop experiences a retarding force kv due to the air, whe...

A-LevelPhysicsWork, energy and powerOct/Nov 2010

The kinetic energy of a vehicle of mass 1000 kg is 4.5 × 10⁵ J. It is stopped by applying a constant braking force of 6000 N. What is its stopping ...

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2010

What are units of work, energy and power?

A-LevelPhysicsTemperatureOct/Nov 2010

Below are four short paragraphs describing the molecules in a beaker of water at 50°C. Which paragraph correctly describes the molecules?

A-LevelPhysicsDeformation of solidsOct/Nov 2010

Which group of materials contains two polymers?

A-LevelPhysicsForces, density and pressureOct/Nov 2010

The pressure at sea level is approximately 100 000 Pa. The density of sea water is 1030 kg m⁻³. What is the approximate pressure 80 m below the sur...

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