GCSE Higher · grades 4–9 · 20% of marks
GCSE Higher — Ratio, proportion and rates of change
On GCSE Higher, ratio, proportion and rates of change is worth 20% of the marks — enough that a weak patch here shows up in the final grade. 16 statements make up ratio, proportion and rates of change here. Each has its own page with the specification wording, the common mistakes, and questions. The list includes converting between standard and compound units, scale factors, scale diagrams and maps, one quantity as a fraction of another, ratio notation and simplest form, dividing in a ratio and multiplicative relationships as ratios or fractions. The Higher-only part of this area is instantaneous rate of change: gradients of curves. The assessment objectives split 40% AO1 against 60% AO2 and AO3 combined, which is why so many questions ask you to explain or to justify rather than simply to calculate. Most of this area is natural Paper 1 material, so practise it without a calculator before you practise it with one.
- R1 — Converting between standard and compound units
- R2 — Scale factors, scale diagrams and maps
- R3 — One quantity as a fraction of another
- R4 — Ratio notation and simplest form
- R5 — Dividing in a ratio
- R6 — Multiplicative relationships as ratios or fractions
- R7 — Proportion as equality of ratios
- R8 — Ratios, fractions and linear functions
- R9 — Percentages and percentage change
- R10 — Direct and inverse proportion
- …and 6 more ratio, proportion and rates of change statements at this tier
Practise
The 16 DfE statements in ratio, proportion and rates of change at Higher
Related
Questions people ask
How much of the GCSE Higher paper is ratio, proportion and rates of change?
20% of the total marks, and the three papers each carry an equal share of the qualification, so it is spread across all of them rather than concentrated in one.
How many topics are there in ratio, proportion and rates of change at GCSE Higher?
16 DfE content statements, coded R1 to R16 within this area. Every question in the bank is tagged to one of them.
Which ratio, proportion and rates of change topics are Higher only?
Instantaneous rate of change: gradients of curves (R15). A further 2 statements have a Higher-only part inside otherwise shared content.
Can I use a calculator for ratio, proportion and rates of change questions?
Paper 1 is non-calculator; Papers 2 and 3 allow one. Of the 16 statements in this area, 6 are naturally non-calculator and 1 naturally calculator, with the rest workable either way — so practise both.
What kind of marks does ratio, proportion and rates of change carry?
The GCSE Higher split is 40% AO1 (use and apply standard techniques), 30% AO2 (reason, interpret and communicate) and 30% AO3 (solve problems in and out of context). Questions in this area are set across all three.
Are these past paper questions?
No. Every question at /gcse-higher is original, written to the DfE content statements and checked before it is published. We do not host past papers or mark schemes.