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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 pressureFeb/Mar 2017

A spherical object falls through water at constant speed. Three forces act on the object. Which diagram, showing these three forces to scale, is co...

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

A uniform metre rule of weight 2.0 N is pivoted at the 60 cm mark. A 4.0 N load is suspended from one end, causing the rule to rotate about the piv...

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

The vertical forces that the ground exerts on a stationary van are shown. [Figure showing a van with two upward forces and dimensions] The van is 2...

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

An object hangs by means of two cords around two rods, as shown. [Figure showing an object suspended by two cords around two rods, with forces F₁, ...

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

Which force is caused only by a pressure difference?

A-LevelPhysicsWork, energy and powerFeb/Mar 2017

The total energy input Eᵢₙ in a process is partly transferred to useful energy output U and partly transferred to energy that is wasted W. What is ...

A-LevelPhysicsThermodynamicsFeb/Mar 2017

A gas is enclosed inside a cylinder which is fitted with a frictionless piston. [Figure showing a piston in a cylinder with gas, initial volume V₁,...

A-LevelPhysicsKinematicsFeb/Mar 2017

A projectile is thrown at an angle to the ground. [Figure showing a projectile path with horizontal velocity 23.0 m s⁻¹ and vertical velocity -10.1...

A-LevelPhysicsWork, energy and powerFeb/Mar 2017

A car of mass 1400 kg is travelling on a straight, horizontal road at a constant speed of 25 m s⁻¹. The output power from the car's engine is 30 kW...

A-LevelPhysicsDeformation of solidsFeb/Mar 2017

Two wires X and Y are made of different metals. The Young modulus of wire X is twice that of wire Y. The diameter of wire X is half that of wire Y....

A-LevelPhysicsDeformation of solidsFeb/Mar 2017

A weight of 120 kN is placed on top of a metal column. The length of the column is compressed by 0.25 mm. The column obeys Hooke's law when compres...

A-LevelPhysicsWavesFeb/Mar 2017

What is the relationship between the amplitude of a wave and its intensity?

A-LevelPhysicsWavesFeb/Mar 2017

Which statement about light waves and sound waves is correct?

A-LevelPhysicsWavesFeb/Mar 2017

The diagram shows two waves R and S. [Figure showing displacement vs time graph for two waves R and S] Wave R has an amplitude of 8 cm and a period...

A-LevelPhysicsWavesFeb/Mar 2017

A source of sound waves is travelling as shown. In which situation would the stationary observer detect the largest decrease in the observed freque...

A-LevelPhysicsWavesFeb/Mar 2017

M and N are two electromagnetic waves. The ratio wavelength of M wavelength of N = 10⁵. What could M and N be?

A-LevelPhysicsSuperpositionFeb/Mar 2017

A progressive wave is incident normally on a flat reflector. The reflected wave overlaps with the incident wave and a stationary wave is formed. At...

A-LevelPhysicsWavesFeb/Mar 2017

A monochromatic plane wave of speed c and wavelength λ is diffracted at a small aperture. The diagram illustrates successive wavefronts. [Figure sh...

A-LevelPhysicsSuperpositionFeb/Mar 2017

In an experiment to demonstrate two-source interference of light, a beam of light is split into two beams using two slits 0.50 mm apart. These two ...

A-LevelPhysicsElectric fieldsFeb/Mar 2017

Two positive charges and one negative charge, all of equal magnitude, are set at the corners of an equilateral triangle. Which diagram best represe...

A-LevelPhysicsElectric fieldsFeb/Mar 2017

A constant potential difference is applied between two horizontal metal plates. A charged oil droplet is held stationary by the electric field betw...

A-LevelPhysicsElectricityFeb/Mar 2017

An electric current I is given in the list of formulae on page 3 as I = Anvq. What do each of the symbols represent for an electric current in a me...

A-LevelPhysicsElectricityFeb/Mar 2017

The potential difference across a resistor is 12 V. The current in the resistor is 2.0 A. A charge of 4.0 C passes through the resistor. What is th...

A-LevelPhysicsElectricityFeb/Mar 2017

A coil contains N turns of insulated copper wire wound on to a cylindrical iron core of diameter D. The copper wire has a diameter d. The resistivi...

A-LevelPhysicsD.C. circuitsFeb/Mar 2017

Two cells are connected to a load resistor of resistance 3.0 Ω. The electromotive force (e.m.f). and the internal resistance of each of the cells i...

A-LevelPhysicsD.C. circuitsFeb/Mar 2017

Six resistors, each of resistance R, are connected as shown. [Figure showing six resistors, three in parallel, then two in series, then one in seri...

A-LevelPhysicsD.C. circuitsFeb/Mar 2017

A potential divider consists of two resistors of resistances R₁ and R₂ connected in series across a source of potential difference (p.d.) Vᵢₙ. The ...

A-LevelPhysicsNuclear physicsFeb/Mar 2017

Which row describes the relative ionizing power and the relative penetration power per unit length in air of α-particles and γ-rays?

A-LevelPhysicsNuclear physicsFeb/Mar 2017

A nucleus of sodium-21, ²¹₁₁Na, decays to form a new nucleus containing 10 protons and 11 neutrons. Which leptons are emitted from the sodium-21 nu...

A-LevelPhysicsParticle physicsFeb/Mar 2017

A neutron decays to form a proton. Which particle is not involved in the decay process?

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

A floating sphere is attached by a cable to the bottom of a river, as shown in [Figure 1.2]. The sphere is in equilibrium, with the cable at an ang...

A-LevelPhysicsDynamicsFeb/Mar 2017

Two blocks, A and B, are on a horizontal frictionless surface. The blocks are joined together by a spring, as shown in [Figure 2.1]. Block A has ma...

A-LevelPhysicsDynamicsFeb/Mar 2017

A car travels in a straight line up a slope, as shown in [Figure 3.1]. The car has mass 850 kg and travels with a constant speed of 9.0 m s⁻¹. The ...

A-LevelPhysicsWavesFeb/Mar 2017

A child sits on a rotating horizontal platform in a playground. The child moves with a constant speed along a circular path, as illustrated in [Fig...

A-LevelPhysicsElectric fieldsFeb/Mar 2017

An electron is travelling in a straight line through a vacuum with a constant speed of 1.5 × 10⁷ m s⁻¹. The electron enters a uniform electric fiel...

A-LevelPhysicsD.C. circuitsFeb/Mar 2017

Three resistors of resistances R₁, R₂ and R₃ are connected as shown in [Figure 6.1]. The total current in the combination of resistors is I and the...

A-LevelPhysicsNuclear physicsFeb/Mar 2017

A nucleus of bismuth-212 (²¹²Bi) decays by the emission of an α-particle and γ-radiation.

A-LevelPhysicsForces, density and pressureFeb/Mar 2017

In this experiment, you will investigate forces on a wooden strip in equilibrium.

A-LevelPhysicsPhysical quantities and unitsFeb/Mar 2017

In this experiment, you will investigate the friction between string and a plastic pipe.

A-LevelPhysicsGravitational fieldsFeb/Mar 2017

Answer all the questions in the spaces provided. (b) A rocket is launched from the surface of a planet and moves along a radial path, as shown in ...

A-LevelPhysicsThermodynamicsFeb/Mar 2017

The first law of thermodynamics can be represented by the expression ΔU = q + w. (b) A fixed mass of an ideal gas undergoes a cycle ABCA of chan...

A-LevelPhysicsOscillationsFeb/Mar 2017

A uniform beam is clamped at one end. A metal block of mass m is fixed to the other end of the beam causing it to bend, as shown in Fig. 3.1. clam...

A-LevelPhysicsMedical physicsFeb/Mar 2017

Explain the main principles of the generation of ultrasound waves for medical use.

A-LevelPhysicsWavesFeb/Mar 2017

(b) An optic fibre of length 57km is connected between a transmitter and a receiver, as shown in Fig. 5.1. transmitter signal power 15 × 10⁻³ W ...

A-LevelPhysicsElectric fieldsFeb/Mar 2017

(b) A positive point charge +Q is positioned at a fixed point X and an identical positive point charge is positioned at a fixed point Y, as shown i...

A-LevelPhysicsDeformation of solidsFeb/Mar 2017

(b) In a strain gauge, the increase in resistance ΔR depends on the increase in length ΔL. The variation of ΔR with ΔL is shown in Fig. 7.1. 8 ΔR/...

A-LevelPhysicsMagnetic fieldsFeb/Mar 2017

(b) A particle of charge +q and mass m is travelling in a vacuum with speed v. The particle enters, at a right angle, a uniform magnetic field of f...

A-LevelPhysicsAlternating currentsFeb/Mar 2017

An ideal transformer is shown in Fig. 9.1. input primary coil 1200 turns Fig.9.1 core output secondary coil (b) An alternating voltage o...

A-LevelPhysicsQuantum physicsFeb/Mar 2017

(b) Light in a beam has a continuous spectrum that lies within the visible region. The photons of light have energies ranging from 1.60 eV to 2.60 ...

A-LevelPhysicsElectricityFeb/Mar 2017

Use band theory to explain why, unlike a copper wire, the resistance of an intrinsic semiconductor decreases with an increase of temperature.

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