GCSE Fractions, ratios and proportions exam-style questions
Use Clevolab for GCSE exam-style practice in fractions, ratios and proportions. This page shows what the topic covers, what skills the current set targets, and a few real examples from the reviewed question bank.
About this topic
Clevolab treats fractions, ratios and proportions as repeated practice with explanation, not just answer checking. This page is designed to make the topic legible before you open the app.
The current GCSE set covers fractions, percentages, ratio, direct proportion, inverse proportion, and proportional reasoning. 44 reviewed questions currently published for this page.
What you can practise
- Fractions, decimals, and percentages
- Ratio simplification and sharing
- Percentage change and reverse percentages
- Direct and inverse proportion
- Multi-step proportional reasoning
Real sample questions from the current set
These examples come from the reviewed questions currently stored for this topic. They are here so the page shows the actual flavour of Clevolab, not just a summary.
Sample question
In a class the ratio of boys to girls is $3:5$. What fraction are girls?
- A$\frac{5}{8}$Correct answer
- B$\frac{3}{8}$Answer option
- C$\frac{5}{3}$Answer option
- D$\frac{3}{5}$Answer option
Why this answer is right
Total parts $=3+5=8$. Girls are $5$ of $8$: $\frac{5}{8}$.
Convert a ratio to a fraction by dividing by total parts. Total parts $=3+5=8$. Girls are $5$ parts, so the fraction is: $$\frac{5}{8}$$ $\frac{3}{5}$ confuses part-to-part ratio with fraction of the whole.
Sample question
Simplify the ratio $2.5\,\mathrm{kg}:750\,\mathrm{g}$.
- A5:3Answer option
- B10:3Correct answer
- C3:10Answer option
- D10:9Answer option
Why this answer is right
Convert to the same units: $2500:750$. Divide by $250$ to get $10:3$.
Always use consistent units in ratios. Convert $2.5\,\mathrm{kg}=2500\,\mathrm{g}$, so the ratio is $2500:750$. Divide both by $250$: $$2500:750=10:3$$ $5:3$ comes from dividing by different factors.
Sample question
Write $\frac{3}{20}$ as a decimal.
- A0.3Answer option
- B0.2Answer option
- C0.15Correct answer
- D0.125Answer option
Why this answer is right
$\frac{3}{20}=\frac{15}{100}=0.15$.
Scale the fraction to denominator $100$. Multiply numerator and denominator by $5$: $$\frac{3}{20}=\frac{15}{100}=0.15$$ $0.2$ would be $\frac{1}{5}$; $0.125$ is $\frac{1}{8}$.
How this page fits into Clevolab
Clevolab is broader than any one exam mode. GCSE and A-level pages are useful entry points, while the wider project is about sharpening understanding through repeated topic practice.