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Foundation and Higher / Grades 3 to 5
Writing and simplifying ratios
Write ratios in the correct order, use matching units, and simplify ratios by dividing every part by the same factor.
Pearson Edexcel GCSE Maths ratio R1 and R3: use ratio notation and express ratios in their simplest form.
Open full lessonFoundation and Higher / Grades 3 to 5
Sharing in a ratio
Split a total amount into two-part and three-part ratios by finding the value of one part first.
Pearson Edexcel GCSE Maths ratio R5: divide a quantity in a given ratio and solve related problems.
Open full lessonFoundation and Higher / Grades 4 to 6
Finding missing amounts from a ratio
Use a known part of a ratio to find one part, another amount, or the total amount.
Pearson Edexcel GCSE Maths ratio R5 and R8: use ratios to find quantities when another quantity is known.
Open full lessonFoundation and Higher / Grades 4 to 6
Ratio as fractions
Connect ratio parts to fractions of a total, and convert between fraction statements and ratio notation.
Pearson Edexcel GCSE Maths ratio R4 and R6: connect ratios, fractions and proportional comparisons.
Open full lessonFoundation and Higher / Grades 3 to 5
Best value
Compare offers fairly by finding a unit price or scaling both options to the same amount.
Pearson Edexcel GCSE Maths ratio R8 and R10: solve proportion and best value problems in context.
Open full lessonFoundation and Higher / Grades 3 to 5
Recipes and scaling
Scale recipe quantities up or down using a multiplier, one-portion method, or equivalent ratio.
Pearson Edexcel GCSE Maths ratio R10: solve direct proportion problems, including recipes and scaling.
Open full lessonFoundation and Higher / Grades 3 to 5
Currency conversion
Use exchange rates correctly by deciding whether to multiply or divide, then rounding money sensibly.
Pearson Edexcel GCSE Maths ratio R10 and N13: use proportion and calculator skills in financial contexts.
Open full lessonFoundation and Higher / Grades 4 to 7
Direct proportion
Recognise direct proportion, scale quantities using the same multiplier, and use y = kx or Higher proportional formulae.
Pearson Edexcel GCSE Maths ratio R10 and R13: solve direct proportion problems and recognise proportional relationships.
Open full lessonFoundation and Higher / Grades 5 to 8
Inverse proportion
Recognise inverse proportion, use products or formulae, and solve worker-time and Higher inverse-square problems.
Pearson Edexcel GCSE Maths ratio R13 and R14: solve inverse proportion problems and recognise inverse proportion graphically.
Open full lessonFoundation and Higher / Grades 4 to 6
Speed, density and pressure
Choose and rearrange the correct compound-measure formula, use consistent units, and show method clearly.
Pearson Edexcel GCSE Maths ratio R11: use compound measures such as speed, density and pressure.
Open full lesson