Three-Week Easter Study Plan: A-Level Further Maths & Physics

Student Focus: Improve in Hyperbolic Functions and Mechanics

Subjects:

• Further Mathematics (Edexcel 9FM0)
• Physics (AQA 7408)

Study Time: 5 hours/day
Study Dates: 31st March to 20th April

Key Focus Areas

Further Maths:

• Hyperbolic functions (definitions, identities, graphs, inverses)
• Differential equations involving SHM and damping
• Mechanics topics (impulse, momentum, work-energy, projectiles)
• High-mark topics: Proof by induction, Argand diagrams, Maclaurin series

Physics:

• Mechanics (motion, forces, momentum, energy)
• Circular motion and SHM (AQA 6.1)
• Fields, Electricity, Particles & Radiation (selected revision)
• High-mark topics: SHM explanations, derivations, data analysis, practical uncertainty

 

Week 1 (31st March – 6th April)

Day

Morning (2 hrs)

Afternoon (2 hrs)

Evening (1 hr)

Mon 31

FM Core Pure: Hyperbolic functions (definitions, graphs, identities)

Physics: Kinematics, motion graphs, SUVAT problems

Flashcards + quiz: Hyperbolic identities

Tue 1

FM: Differentiating/integrating sinh, cosh

Physics: Newton’s Laws, inclined planes, terminal velocity

Past Paper Qs: Hyperbolic application

Wed 2

FM: Inverse hyperbolic functions + logs

Physics: Momentum, impulse, collisions (explained)

Timed mechanics questions

Thu 3

FM: SHM equations, damping, DE solving

Physics: Work-energy-power (derivations + MCQs)

Practice graphs: Damped SHM

Fri 4

FM: Complex numbers recap + de Moivre's

Physics: Circular motion: centripetal force + applications

Sketch and label circular motion diagrams

Sat 5

FM Mechanics: Constant acceleration, SUVAT, variable force

Physics: Practical skills – errors, uncertainty, data analysis

MCQ pack: Kinematics & forces

Sun 6

FM: Timed Paper – Core Pure focus

Physics: Timed Mechanics Qs (Paper 1)

Reflect + mark scheme breakdown

Week 2 (7th – 13th April)

Day

Morning (2 hrs)

Afternoon (2 hrs)

Evening (1 hr)

Mon 7

FM: Loci in Argand diagram + inequalities

Physics: Turning forces, moments, torque

Practice Qs: Argand diagram interpretation

Tue 8

FM Mechanics: Work-energy-momentum applications

Physics: SHM – Pendulums & springs, derivation of equations

Graph sketching: Acceleration, displacement

Wed 9

FM: Proof by induction: sums & divisibility

Physics: Fields intro: gravitational & electric

Qs: Deriving field strength formulas

Thu 10

FM: Maclaurin series expansion – sin, cos, e^x

Physics: Combining SHM + damping

Mixed Qs: SHM + damping analysis

Fri 11

FM Mechanics: Projectiles & energy conservation

Physics: Friction, lift/drag, terminal velocity

High-mark Qs: Combined mechanics Qs

Sat 12

FM: Timed Paper 2 – Mechanics Focus

Physics: Timed SHM and Mechanics Practice

Review and summary sheet update

Sun 13

Consolidation: Hyperbolics and Mechanics links

Physics: Electricity + quick-fire data handling

Topic checklist + quiz review

Week 3 (14th – 20th April)

Day

Morning (2 hrs)

Afternoon (2 hrs)

Evening (1 hr)

Mon 14

FM: Vectors – 3D, scalar product, projections

Physics: Circular motion + satellite orbits

Diagrams + formula recall (vector-based)

Tue 15

FM: Differential equations in SHM + auxiliary eqn

Physics: Synoptic problems linking fields and motion

Synoptic past paper section A

Wed 16

FM: Further Mechanics – variable acceleration

Physics: Core review (Particles, Waves recap)

Flashcard testing + MCQs

Thu 17

Full Mock Paper: FM Core Pure

Full Mock Paper: Physics Paper 1

Mark + error review

Fri 18

Weak Areas Focus: Hyperbolics + Integration

Physics: Weak topics revision: energy loss, resonance

Practice long answer Qs

Sat 19

FM: Recap Maclaurin, Argand, Complex Roots

Physics: Practical paper tips + graphing

Final memory dump: formulae & identities

Sun 20

Final Review + Strategy Planning

Light consolidation (summary sheets)

Relax + mental