YMA01 International A Level Mathematics: past papers
158 papers from 2014 to 2025, with 170 questions sorted by syllabus topic.
Vectors in mechanics WME01 · 7 questions
Magnitude, direction and resultant forces3
Two tensions on a barge: an angle, then acceleration against resistance.
Acceleration from forces, then a constant that fixes the direction of the resultant.
Add force vectors given by magnitude and bearing.
Position, velocity and acceleration vectors4
Constant velocity with position vectors, and a bearing between two particles.
Two boats with constant acceleration vectors: speed, velocity and direction conditions.
Constant velocity from position vectors, then the distance to a fixed point.
Velocity and position vectors, bearings and closest approach.
Kinematics of a particle in a straight line WME01 · 5 questions
Constant acceleration formulae (suvat)2
Speed–time graph for a motorbike that speeds up and slows down.
Friction and resolving at constant speed, then deceleration and distance.
Vertical motion under gravity3
Vertical motion under gravity: launch and impact speeds, and a speed–time sketch.
Particles connected over a pulley: tension, impact speed and time to a height.
Motion under gravity then with resistance, and a speed–time graph.
Displacement–time and velocity–time graphs3
Vertical motion under gravity: launch and impact speeds, and a speed–time sketch.
Speed–time graph for a motorbike that speeds up and slows down.
Motion under gravity then with resistance, and a speed–time graph.
Dynamics of a particle in a straight line WME01 · 12 questions
Newton's laws and F = ma4
Two tensions on a barge: an angle, then acceleration against resistance.
Acceleration from forces, then a constant that fixes the direction of the resultant.
Newton’s second law for particles connected vertically.
Motion under gravity then with resistance, and a speed–time graph.
Friction and inclined planes4
Rough inclined plane: a deceleration, a starting speed and a minimum holding force.
Impulse, motion against friction before a collision, and speed after impact.
Friction and resolving at constant speed, then deceleration and distance.
Connected particles on a rough slope over a pulley.
Connected particles and pulleys4
Particles over a pulley: equations of motion, force on the pulley, impulse and time to rest.
Particles connected over a pulley: tension, impact speed and time to a height.
Newton’s second law for particles connected vertically.
Connected particles on a rough slope over a pulley.
Momentum and impulse4
Direct collision: momentum and impulse for a final speed and a mass ratio.
Particles over a pulley: equations of motion, force on the pulley, impulse and time to rest.
Impulse, motion against friction before a collision, and speed after impact.
Momentum and impulse when a string becomes taut.
Statics of a particle WME01 · 2 questions
Resolving forces and equilibrium1
Particle on a rough slope in limiting equilibrium, and whether it stays at rest when the string breaks.
Friction and limiting equilibrium2
Rough inclined plane: a deceleration, a starting speed and a minimum holding force.
Particle on a rough slope in limiting equilibrium, and whether it stays at rest when the string breaks.
Moments WME01 · 3 questions
Moments and beams on supports1
A uniform rod held by two ropes, with a particle added and about to tilt.
Tilting and non-uniform rods3
A non-uniform rod on a ledge about to tilt: find its centre of mass.
A uniform rod held by two ropes, with a particle added and about to tilt.
Moments for a non-uniform rod about to tilt.