What this topic covers
Ratio, proportion and rates of change has 5 subtopics:
- Units, Scale and Similarity
- Ratio and Proportion Fundamentals
- Percentages and Financial Maths
- Direct and Inverse Proportion
- Rates of Change and Growth
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GCSE AQA Foundation Maths · Topic 3 of 6
Ratio, proportion and rates of change – GCSE AQA Foundation Maths revision notes
Choose a subtopic. Ratio, proportion and rates of change covers Units, Scale and Similarity, Ratio and Proportion Fundamentals, Percentages and Financial Maths, and Direct and Inverse Proportion in GCSE AQA Foundation Maths. 23 lessons in 5 subtopics.
Revise Ratio, proportion and rates of change for GCSE AQA Foundation Maths, including Units, Scale and Similarity and Ratio and Proportion Fundamentals.
23
Lessons
5
Subtopics
Ratio, proportion and rates of change lessons by subtopic
23 lessons, grouped by subtopic.
Units, Scale and Similarity
- Converting Between Standard and Compound Units
- Scale Factors, Scale Diagrams and Maps
- Working with Compound Units
- Comparing and Scaling in 2D and 3D
Ratio and Proportion Fundamentals
- Expressing One Quantity as a Fraction of Another
- Simplifying and Interpreting Ratios
- Dividing Quantities Using Ratios
- Ratio in Real-World Contexts
- Expressing Multiplicative Relationships as Ratios and Fractions
- Understanding Proportion as Equality of Ratios
- Connecting Ratios, Fractions and Linear Functions
Percentages and Financial Maths
- Percentage Basics and Percentage of Amounts
- Comparing and Working with Percentages
- Percentage Change and Financial Applications
Direct and Inverse Proportion
- Modelling Direct and Inverse Proportion
- Working with Proportion Equations
- Solving Direct and Inverse Proportion Problems
Rates of Change and Growth
More in this course
Go back to the full GCSE AQA Foundation Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
What is Ratio, proportion and rates of change?
Ratio, proportion and rates of change covers Units, Scale and Similarity, Ratio and Proportion Fundamentals, Percentages and Financial Maths, and Direct and Inverse Proportion in GCSE AQA Foundation Maths. 23 lessons in 5 subtopics.
How do you calculate percentage increase?
Find the increase, divide it by the original amount, then multiply by 100. The Percentage Basics and Percentage of Amounts notes cover this in full.
How do you calculate compound interest?
Multiply the principal by the multiplier raised to the number of years. The Growth and Decay with Multipliers notes cover this in full.
What is the percentage change formula?
Percentage change = change ÷ original value × 100, always dividing by the original value, not the new one. The Percentage Change and Financial Applications notes cover this in full.
What is the compound interest formula?
The compound interest formula is A = P × (1 + r/100)ⁿ, where P is the principal, r the percentage rate and n the number of years. The Growth and Decay with Multipliers notes cover this in full.
How many kilometres is 20 miles?
20 miles is approximately 32 kilometres. The Ratio in Real-World Contexts notes cover this in full.
How do you find a percentage of an amount?
Convert the percentage to a decimal by dividing by 100, then multiply by the quantity. The Percentage Basics and Percentage of Amounts notes cover this in full.
How do you find the original price after a percentage reduction?
Divide by the multiplier to undo the change. The Percentage Change and Financial Applications notes cover this in full.
What does the proportional to symbol mean?
The symbol ∝ means is proportional to, so y ∝ x means y = kx, where k is a non-zero constant. The Solving Direct and Inverse Proportion Problems notes cover this in full.