Maths / Year 10 / Section 3

Section 3 - Ratio, Proportion, Rates

Master advanced ratio and proportional reasoning essential for GCSE success, including direct and inverse proportion.

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Chapters15

Ratios, proportion, scale, compound measures.

Time invested11 hrs

Approximate guided learning.

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All chapter cards

Chapter 3.1

Simplifying ratios (all forms)

Reduce ratios to simplest form including part-to-part and part-to-whole.

35 minStart
Chapter 3.2

Sharing in a ratio (2-part and 3-part)

Divide quantities in given ratios - essential problem-solving skill.

40 minStart
Chapter 3.3

Ratio problem-solving (complex)

Tackle multi-step ratio problems in real-world GCSE contexts.

40 minStart
Chapter 3.4

Direct proportion (algebraic and graphical)

Understand and use y = kx relationships in algebra and graphs.

40 minStart
Chapter 3.5

Inverse proportion (algebraic and graphical)

Master y = k/x relationships and reciprocal graphs.

40 minStart
Chapter 3.6

Proportionality graphs (y = kx, y = k/x, y = kx²)

Identify and sketch all proportionality relationships graphically.

45 minStart
Chapter 3.7

Best buy and unit pricing

Compare value using unit prices for consumer decision-making.

35 minStart
Chapter 3.8

Currency conversion

Use exchange rates and proportional reasoning for currency problems.

35 minStart
Chapter 3.9

Speed, distance, time (all calculations)

Master the relationship between speed, distance, and time in all contexts.

40 minStart
Chapter 3.10

Density, mass, volume

Apply density calculations to physics and chemistry contexts.

40 minStart
Chapter 3.11

Pressure, force, area

Calculate pressure using force and area relationships.

40 minStart
Chapter 3.12

Compound measures (all types)

Master all compound measure calculations in different contexts.

45 minStart
Chapter 3.13

Scale drawings and maps

Use scale factors to interpret and create scale drawings.

40 minStart
Chapter 3.14

Scale factors (length, area, volume)

Apply scale factors to areas and volumes in similarity problems.

45 minStart
Chapter 3.15

Proportion and rates mastery

Consolidate all ratio, proportion and rate skills with GCSE exam problems.

50 minStart

Next steps

Ready for algebra? Move on to Section 4 for algebraic expressions and manipulation - essential foundation for all algebra topics.

Back to Section 2 Next: Section 4 - Algebraic Expressions