Chapter 3.1
Ratio problem solving (complex)
Handle multi-step ratio contexts including combinations and scaling.
Chapters14
Complex ratio, direct/inverse proportion, compound measures.
Time invested10 hrs
Approximate guided learning.
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Chapter 3.2
Direct proportion (algebraic)
Use algebraic equations to model direct relationships.
Chapter 3.3
Inverse proportion (algebraic)
Model inverse relationships and solve related equations.
Chapter 3.4
Proportionality graphs (y = kx, y = k/x)
Plot and interpret straight-line and reciprocal graphs.
Chapter 3.5
Best buy & unit pricing (advanced)
Compare complex deals using unit rates and multi-buy offers.
Chapter 3.6
Currency conversion & exchange rates
Convert between currencies with fluctuating rates.
Chapter 3.7
Speed, distance, time (complex problems)
Solve multi-part journeys, average speeds, and timetable tasks.
Chapter 3.8
Density, mass, volume (advanced)
Apply density formulae to composite materials and context problems.
Chapter 3.9
Pressure, force, area
Manipulate the formula triangle to solve for each variable.
Chapter 3.10
Scale drawings & maps (complex)
Interpret scaled diagrams and convert to real distances precisely.
Chapter 3.11
Similar shapes & scale factors
Link similarity to ratios, area factors, and volume factors.
Chapter 3.12
Rates of change
Interpret gradient as rate and link to contexts like fuel efficiency.
Chapter 3.13
Compound measures
Work across speed, density, pressure, and other compound units.
Chapter 3.14
Proportion problem solving
Synthesize ratio/proportion/rate strategies in exam-style questions.
Next steps
Need a refresher on FDP? Jump back to Section 2, or continue into Section 4 for higher-tier algebra expressions and formulae.