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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-LevelPhysicsD.C. circuitsOct/Nov 2015

The electromotive force of a power supply is 120 V. It delivers a current of 1.2 A to a resistor of resistance 80 Ω and a current of 0.40 A to anot...

A-LevelPhysicsD.C. circuitsOct/Nov 2015

The diagram shows a four-terminal box connected to a battery and two ammeters. [Figure showing a four-terminal box connected to a battery and two a...

A-LevelPhysicsNuclear physicsOct/Nov 2015

A radioactive nucleus emits an α-particle or a β-particle, creating a product nucleus. Which decay process could create the product nucleus stated?

A-LevelPhysicsForces, density and pressureOct/Nov 2016

Concrete has a density of 2400 kg m⁻³. Which mass of concrete fills a rectangular space of dimensions 8.0 cm × 90 cm × 110 cm?

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2016

The speed v of sound in a gas is given by the equation v = √(γP/ρ) where P is the pressure of the gas, ρ is its density and γ is a constant. What a...

A-LevelPhysicsKinematicsOct/Nov 2016

The motion of an object moving from rest with a constant acceleration a may be represented by the equation shown. v² = 2as Which row describes the ...

A-LevelPhysicsWavesOct/Nov 2016

A cathode-ray oscilloscope (c.r.o.) displays a waveform as shown. [Figure 4.1] The time interval between two adjacent peaks of the waveform is 0.00...

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2016

A value for the acceleration of free fall on Earth is given as (10 ± 2) m s⁻². Which statement is correct?

A-LevelPhysicsForces, density and pressureOct/Nov 2016

An experiment to determine atmospheric pressure P uses the equation P = ρgh where ρ = (13600 ± 100) kg m⁻³, g = (9.81 ± 0.02) m s⁻², h = (0.762 ± 0...

A-LevelPhysicsKinematicsOct/Nov 2016

A lorry travels at a constant speed and then decelerates until it stops. Which graph shows the variation with time of the distance travelled by the...

A-LevelPhysicsKinematicsOct/Nov 2016

The graph shows the vertical velocity of a parachutist during the first 20s of her jump. [Figure 8.1] Approximately how far does she fall before op...

A-LevelPhysicsKinematicsOct/Nov 2016

A girl is jumping on a trampoline. Which graph shows the variation of the girl's velocity v with time t?

A-LevelPhysicsKinematicsOct/Nov 2016

In order that a train can stop safely, it will always pass a signal showing a yellow light before it reaches a signal showing a red light. Drivers ...

A-LevelPhysicsDynamicsOct/Nov 2016

Two frictionless trolleys are moving towards each other along the same horizontal straight line. Their masses and velocities are shown. [Figure 11....

A-LevelPhysicsDynamicsOct/Nov 2016

A bullet of mass 8.0 g travels at a speed of 300 m s⁻¹. The bullet hits a target and stops after a time of 100 μs. What is the average force exerte...

A-LevelPhysicsDynamicsOct/Nov 2016

A light ball is falling vertically through air. The variation with time t of the resistive force Fᵣ acting on the ball is shown. [Figure 13.1] At w...

A-LevelPhysicsForces, density and pressureOct/Nov 2016

Which diagram best shows the forces acting on a ball falling at a constant velocity through a liquid?

A-LevelPhysicsForces, density and pressureOct/Nov 2016

A minimum torque of 20 N m must be applied to the lid of a jar for it to open. The radius of the lid is 4.0 cm. [Figure 15.1] What is the minimum f...

A-LevelPhysicsForces, density and pressureOct/Nov 2016

The diagram shows the brake system of a car. [Figure 16.1] The pipes are filled with incompressible liquid. When a force is applied to the brake pe...

A-LevelPhysicsDynamicsOct/Nov 2016

A rigid cross-shaped structure having four arms PO, SO, QO and RO, each 1.00 m long, is pivoted at O. Forces act on the ends of the arms and on the...

A-LevelPhysicsWork, energy and powerOct/Nov 2016

On the surface of a planet, 30 J of work is done against gravity to raise a mass of 1.0 kg through a height of 10 m. How much work must be done to ...

A-LevelPhysicsWork, energy and powerOct/Nov 2016

The speed of a car increases from 10 m s⁻¹ to 15 m s⁻¹ and its kinetic energy increases by E₁. Later, the speed of the car increases from 15 m s⁻¹ ...

A-LevelPhysicsWork, energy and powerOct/Nov 2016

A car travels at a constant speed of 25 m s⁻¹ up a slope. The wheels driven by the engine exert a forward force of 3000 N. There is a drag force du...

A-LevelPhysicsDeformation of solidsOct/Nov 2016

Which force-extension graph shows plastic deformation of a sample of material?

A-LevelPhysicsDeformation of solidsOct/Nov 2016

Four solid steel rods, each of length 2.0 m and cross-sectional area 250 mm², equally support an object weighing 10 kN. The weight of the object ca...

A-LevelPhysicsWavesOct/Nov 2016

High-frequency sound waves with frequency 2.0 MHz travel with a speed of 2.0 km s⁻¹ through a liquid. What is the shortest distance between a compr...

A-LevelPhysicsWavesOct/Nov 2016

A transverse progressive wave of wavelength λ is set up on a stretched string. The graph shows the variation of displacement y with distance x at a...

A-LevelPhysicsWavesOct/Nov 2016

A man standing next to a stationary train hears sound of frequency 400 Hz emitted from the train's horn. The train then moves directly away from th...

A-LevelPhysicsSuperpositionOct/Nov 2016

A stationary wave is formed on a stretched string. The diagram illustrates the string at an instant of time when the displacement of the string is ...

A-LevelPhysicsSuperpositionOct/Nov 2016

Observable interference fringes are produced using light from a double slit. The intensity of the light emerging from each slit is initially the sa...

A-LevelPhysicsSuperpositionOct/Nov 2016

Monochromatic light of wavelength 450 nm passes through two parallel slits 0.30 mm apart. Bright fringes are observed on a screen 2.0 m away. [Figu...

A-LevelPhysicsWavesOct/Nov 2016

A microwave transmitter is placed at a fixed distance from a flat reflecting surface, as shown. [Figure 29.1] A microwave detector is moved steadil...

A-LevelPhysicsElectric fieldsOct/Nov 2016

Two parallel circular metal plates X and Y, each of diameter 18 cm, have a separation of 9.0 cm. A potential difference of 9.0 V is applied between...

A-LevelPhysicsElectric fieldsOct/Nov 2016

An oil drop has mass m and charge q. The drop is held stationary in an electric field between two parallel horizontal plates, distance d apart, as ...

A-LevelPhysicsD.C. circuitsOct/Nov 2016

The diagram shows a junction in a circuit where three wires P, Q and R meet. The currents in P and Q are 1 A and 3 A respectively, in the direction...

A-LevelPhysicsElectricityOct/Nov 2016

A wire carries a current of 2.0 A for 1.0 hour. How many electrons pass a point in the wire in this time?

A-LevelPhysicsElectricityOct/Nov 2016

Four statements about either potential difference or electromotive force are listed. 1 It involves changing electrical energy into other forms. 2 I...

A-LevelPhysicsD.C. circuitsOct/Nov 2016

In the circuit shown, there is a current of 3.0 A in the 2.0 Ω resistor. [Figure 37.1] What are the values of the current I delivered by the power ...

A-LevelPhysicsNuclear physicsOct/Nov 2016

The calcium nuclide ⁴²₂₀Ca is formed by β⁻ decay. What are the nucleon (mass) number and proton (atomic) number of the unstable nuclide that underw...

A-LevelPhysicsParticle physicsOct/Nov 2016

Which diagram represents the structure of an antineutron?

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

Which pair of units are not the same when expressed in SI base units?

A-LevelPhysicsKinematicsOct/Nov 2017

What is the vertical component of this displacement vector? [Figure showing a vector of 5.0 km at 37° to the horizontal]

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

The units of specific heat capacity are J kg⁻¹ K⁻¹. What are the SI base units of specific heat capacity?

A-LevelPhysicsPhysical quantities and unitsOct/Nov 2017

A quantity y is to be determined from the equation shown. y = px / q² The percentage uncertainties in p, x and q are shown. [Table showing percenta...

A-LevelPhysicsKinematicsOct/Nov 2017

A hot-air balloon is moving vertically upwards with a constant speed of 3.00 m s⁻¹. A sandbag is dropped from the balloon. It takes 5.00 s for the ...

A-LevelPhysicsKinematicsOct/Nov 2017

The velocity-time graph for a train starting at one station and stopping at the next is shown. [Figure showing a velocity-time graph for a train] A...

A-LevelPhysicsDynamicsOct/Nov 2017

A slow vehicle and a fast vehicle travel towards each other in a straight line and then collide. Which outcome is never possible, regardless of the...

A-LevelPhysicsDynamicsOct/Nov 2017

Two blocks of masses M and m are joined by a thin string which passes over a frictionless pulley, as shown. [Figure showing two blocks M and m conn...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

The diagram shows a block of copper suspended in water. [Figure showing a block of copper suspended in water with face S (top) and face R (bottom) ...

A-LevelPhysicsForces, density and pressureOct/Nov 2017

The diagram shows a solid cube with weight W and sides of length L. It is supported at rest by a frictionless spindle that passes through the centr...

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