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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 2011

The uncertainty in the value of the momentum of a trolley passing between two points X and Y varies with the choice of measuring devices. Measureme...

A-LevelPhysicsWavesMay/June 2011

The time-base on a cathode-ray oscilloscope is set at 6 ms/cm. A trace consisting of two pulses is recorded as shown in the diagram. [Figure 5.0]

A-LevelPhysicsKinematicsMay/June 2011

A bullet is fired horizontally with speed v from a rifle. For a short time t after leaving the rifle, the only force affecting its motion is gravit...

A-LevelPhysicsKinematicsMay/June 2011

A particle moves in the manner shown by the velocity-time graph. The displacement of the particle has been measured so that it is zero at t = 0. Po...

A-LevelPhysicsKinematicsMay/June 2011

A tennis ball falls freely, in air, from the top of a tall building. Which graph best represents the variation of distance s fallen with time t?

A-LevelPhysicsKinematicsMay/June 2011

A small glider moves along a friction-free horizontal air track as shown below. At each end of the air track there is a perfectly elastic buffer. W...

A-LevelPhysicsDynamicsMay/June 2011

A force F is applied to a freely moving object. At one instant of time, the object has velocity v and acceleration a. Which quantities must be in t...

A-LevelPhysicsDynamicsMay/June 2011

The momentum of an object changes from 160 kg m s⁻¹ to 240 kg m s⁻¹ in 2 s. What is the mean resultant force on the object during the change?

A-LevelPhysicsDynamicsMay/June 2011

A car accelerates in a straight line. A graph of the momentum of the car is plotted against time. What is evaluated by finding the gradient of the ...

A-LevelPhysicsDynamicsMay/June 2011

A stone is projected horizontally in a vacuum and moves along the path shown. [Figure 14.0] X is a point on this path. XV and XH are vertical and h...

A-LevelPhysicsForces, density and pressureMay/June 2011

The diagrams all show a pair of equal forces acting on a metre rule. Which diagram shows forces that provide a couple and zero resultant force?

A-LevelPhysicsForces, density and pressureMay/June 2011

A uniform rod XY of weight 10.0 N is freely hinged to a wall at X. It is held horizontal by a force F acting from Y at an angle of 30° to the horiz...

A-LevelPhysicsForces, density and pressureMay/June 2011

The diagram shows two fixed pins, Y and Z. A length of elastic is stretched between Y and Z and around pin X, which is attached to a trolley. X is ...

A-LevelPhysicsWork, energy and powerMay/June 2011

An electric motor produces 120 W of useful mechanical output power. The efficiency of the motor is 60%. Which row is correct?

A-LevelPhysicsWork, energy and powerMay/June 2011

A hammer with 10 J of kinetic energy hits a nail and pushes it 5.0 mm into a plank. Both the hammer and nail come to rest after the collision. What...

A-LevelPhysicsForces, density and pressureMay/June 2011

The diagram shows two vessels, P and Q, both with sides inclined at 45°. Vessel P tapers outwards and vessel Q tapers inwards, as shown. Both vesse...

A-LevelPhysicsForces, density and pressureMay/June 2011

Two solid substances P and Q have atoms of mass M_P and M_Q respectively. They have n_P and n_Q atoms per unit volume. The density of P is greater ...

A-LevelPhysicsThermodynamicsMay/June 2011

The table summarises some descriptions of evaporation. Which row of the table is correct?

A-LevelPhysicsDeformation of solidsMay/June 2011

The behaviour of a wire under tensile stress may be described in terms of the Young modulus E of the material of the wire and of the force per unit...

A-LevelPhysicsDeformation of solidsMay/June 2011

The diagram shows the structure of part of a mattress. The manufacturer wants to design a softer mattress (one which will compress more for the sam...

A-LevelPhysicsWavesMay/June 2011

In which order of magnitude are the frequencies of electromagnetic waves in the visible spectrum?

A-LevelPhysicsWavesMay/June 2011

A transverse progressive wave is set up on a string. The graph shows the variation with time of displacement for a point on this string. [Figure 26...

A-LevelPhysicsWavesMay/June 2011

If a wave can be polarised, it must be

A-LevelPhysicsWavesMay/June 2011

In which situation does diffraction occur?

A-LevelPhysicsSuperpositionMay/June 2011

The diagrams show the arrangement of apparatus for a Young's slits experiment and also part of the pattern formed on the screen with a ruler placed...

A-LevelPhysicsElectric fieldsMay/June 2011

The diagram shows two parallel metal plates connected to a d.c. power supply through a resistor. [Figure 30.0] There is a uniform electric field in...

A-LevelPhysicsElectric fieldsMay/June 2011

In each electric field diagram, a positively charged particle is moved from X to Y. In which diagram would the particle experience an increasing re...

A-LevelPhysicsElectricityMay/June 2011

What describes the electric potential difference between two points in a wire that carries a current?

A-LevelPhysicsElectricityMay/June 2011

A cylindrical piece of a soft, electrically-conducting material has resistance R. It is rolled out so that its length is doubled but its volume sta...

A-LevelPhysicsD.C. circuitsMay/June 2011

A source of electromotive force (e.m.f.) E has a constant internal resistance r and is connected to an external variable resistor of resistance R. ...

A-LevelPhysicsD.C. circuitsMay/June 2011

Which graph best represents the way in which the current I through a thermistor depends upon the potential difference V across it?

A-LevelPhysicsD.C. circuitsMay/June 2011

Safety on railways is increased by using several electrical switches. In the diagram, switches P, Q, R, S and T control the current through a green...

A-LevelPhysicsD.C. circuitsMay/June 2011

The diagram shows a fixed resistor and a light-dependent resistor (LDR) in series with a constant low-voltage supply. When the LDR is in the dark, ...

A-LevelPhysicsD.C. circuitsMay/June 2011

The diagram shows a d.c. circuit. [Figure 38.0] What is the resistance between the points P and Q due to the resistance network?

A-LevelPhysicsNuclear physicsMay/June 2011

The uranium nucleus ²³⁸U undergoes α-decay, producing nucleus X. Nucleus X undergoes β-decay, producing nucleus Y. For nucleus Y, what are the valu...

A-LevelPhysicsNuclear physicsMay/June 2011

Radon-220 is radioactive and decays to polonium-216 with the emission of an α-particle. The equation for the radioactive decay is shown. ²²⁰Rn -> ²...

A-LevelPhysicsPhysical quantities and unitsMay/June 2012

What is the unit watt in terms of Sl base units?

A-LevelPhysicsPhysical quantities and unitsMay/June 2012

For which quantity is the magnitude a reasonable estimate?

A-LevelPhysicsPhysical quantities and unitsMay/June 2012

A vector has magnitude R and perpendicular components P and Q, as shown in the diagram. Which row correctly describes the perpendicular components?

A-LevelPhysicsPhysical quantities and unitsMay/June 2012

The diameter of a cylindrical metal rod is measured using a micrometer screw gauge. The diagram below shows an enlargement of the scale on the micr...

A-LevelPhysicsPhysical quantities and unitsMay/June 2012

A mass is dropped from rest, and falls through a distance of 2.0 m in a vacuum. An observer records the time taken for the mass to fall through thi...

A-LevelPhysicsWavesMay/June 2012

The diagram shows two complete pulses on the screen of a cathode-ray oscilloscope. A grid of 1 cm squares covers the screen. The time-base setting ...

A-LevelPhysicsKinematicsMay/June 2012

The graph shows how the velocity v of an object moving in a straight line varies over time t = 0 to t = T. [Figure 7.1] Which graph represents the ...

A-LevelPhysicsKinematicsMay/June 2012

Two markers M₁ and M₂ are set up a vertical distance h apart. [Figure 8.1] A steel ball is released at time zero from a point a distance x above M₁...

A-LevelPhysicsKinematicsMay/June 2012

A brick is dislodged from a building and falls vertically under gravity. Which graph best represents the variation of its height h above the ground...

A-LevelPhysicsKinematicsMay/June 2012

A projectile is launched at point O and follows the path OPQRS, as shown. Air resistance may be neglected. [Figure 10.1] Which statement is true fo...

A-LevelPhysicsDynamicsMay/June 2012

Which row correctly states whether momentum and kinetic energy are conserved in an inelastic collision in which there are no external forces?

A-LevelPhysicsDynamicsMay/June 2012

Two spheres approach each other along the same straight line. Their speeds are u₁ and u₂ before collision. After the collision, the spheres separat...

A-LevelPhysicsDynamicsMay/June 2012

A box of mass 8.0 kg rests on a horizontal, rough surface. A string attached to the box passes over a smooth pulley and supports a 2.0 kg mass at i...

A-LevelPhysicsForces, density and pressureMay/June 2012

A ladder is positioned on icy (frictionless) ground and is leant against a rough wall. At the instant of release it begins to slide. Which diagram ...

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