How do I know which method to use in GCSE ratio questions?

Start by asking what information you’ve been given: a total, one share, or a difference. If you have the total, you count the total parts and divide to find one part. If you have one share, you treat that share as a certain number of parts and divide to find one part. If you have a difference, you find the difference in parts and divide the given difference by that number of parts. This is why ratio is less about memory and more about identifying the story the numbers are telling. In **GCSE** mark schemes, method marks are usually awarded for setting up parts clearly, even if you make an arithmetic slip later. Practising mixed sets on Maths Genie helps because you see these formats repeatedly until your brain recognises them quickly.

Why do GCSE exam boards love ratio and proportion so much?

Because ratio is a gateway skill. It connects to fractions, percentages, probability, best buys, similarity, recipes, and even algebraic reasoning. In Edexcel, AQA, OCR and Eduqas papers, ratio also differentiates grades because it can be made simple (foundation tier sharing) or more demanding (higher tier multi-step and algebraic ratio). Ratio questions reward clear working, which makes them ideal for assessing mathematical communication and method. They also create lots of opportunities for “show that…” or “explain why…” style prompts without needing advanced content. If you can keep your steps tidy and your parts consistent, you protect yourself from silly errors. That’s why ratio is one of the most reliable topics to revise for **GCSE** improvement.

What’s the best way to revise ratio questions close to my GCSE exam?

Use a layered approach. First, make sure the basics are automatic: simplifying ratios, converting ratio to fractions, and sharing a total using equal parts. Then move to mixed exam questions so you practise choosing the correct method under time pressure, not just doing a rehearsed example. Maths Genie is ideal for this because you can go from revision lessons to exam questions to worked solutions quickly: use [Writing and Simplifying Ratios](https://www.mathsgenie.co.uk/writing-simplifying-ratio.php), then [Sharing an amount between a given Ratio](https://www.mathsgenie.co.uk/ratio.html), then the question PDFs like [Ratio Problems](https://www.mathsgenie.co.uk/resources/5-ratio-problems.pdf). After that, do timed practice using [GCSE Predicted Papers](https://www.mathsgenie.co.uk/resources.php) or topic mini tests on [Target Tests](https://www.mathsgenie.co.uk/targettests.php). Finally, mark honestly using the mark scheme and rewrite any question you got wrong, focusing on the setup line where the mistake began.

Are ratio questions different on foundation and higher tier GCSE papers?

The core skill is the same: equal parts and consistent scaling. On foundation tier, questions are more likely to give you the total and ask for two shares, with friendly numbers and fewer steps. On higher tier, you’re more likely to see multi-step contexts (like someone gives away part of their share), ratio combined with fractions or percentages, or questions where the total isn’t given directly. Higher tier also includes more “hidden structure” questions, where you must form the ratio from information in words before you do any arithmetic. The good news is that higher tier ratio still rewards the same calm method, just applied twice. If you can write “total parts = ...” and “one part = ...” clearly, you’ll usually collect method marks even when the arithmetic gets tougher. That’s why consistent **GCSE** practice with mark schemes is so powerful.

GCSE Ratio Questions Explained (With Worked Examples)

When ratio questions feel like a trap (and how to unpick them)

In GCSE maths, ratio questions have a strange talent: they look friendly, then quietly steal your marks. You read “share £240 in the ratio $5 : 7$ ” and your brain immediately starts doing two things at once -- splitting and second-guessing. That’s not because you’re “bad at ratio”. It’s because ratio questions reward calm structure more than cleverness. Once you learn to turn every GCSE ratio question into the same small set of steps, they stop being scary and start being predictable.

Maths Genie has dedicated revision lessons and exam questions for ratio, sharing, and proportion, with mark schemes and video solutions. If you want the official methods in one place, start here: Sharing an amount between a given Ratio and Writing and Simplifying Ratios.

A stressed student learns the box method

Ratio questions checklist (the method that works in most GCSE papers)

When you see a GCSE ratio question, run this checklist before you touch your calculator:

What is being compared? (money, lengths, quantities, ingredients, numbers of items)
Is it a simple ratio (like $3 : 5$ ) or a three-part ratio (like $2 : 3 : 4$ )?
Do you know the total, one person’s share, or the difference between shares?
Can you use the “equal parts” idea? (box model)
Is it actually proportion? (recipes, best buys, direct proportion)

For targeted practice, Maths Genie has exam-style sets such as:

The core idea behind every GCSE ratio question: equal parts

A ratio like $2 : 1$ means: “split something into $2 + 1$ equal parts”. Those parts are the same size. The only difference is how many parts each person (or category) gets.

So if the ratio is $a : b$ , then:

Total parts $= a + b$
One part $=totala+b=\dfrac{\text{total}}{a+b}$ (if the total is known)
Shares are $a$ parts and $b$ parts

This is why the box method is so popular on mark schemes: it makes the equal parts visible.

This is the most common GCSE ratio format across Edexcel, AQA, OCR and Eduqas.

Worked example: sharing a total

Question: A and B share £360 in the ratio $5 : 7$ . Work out how much B gets.

Step 1: Count total parts

5 + 7 = 12

Step 2: Find the value of one part

\text{one part}=\frac{360}{12}=30

Step 3: Multiply by B’s parts

\text{B gets }7 \times 30=210

So B gets £210.

If you want more examples exactly like this, practise with Sharing an amount between a given Ratio.

Pizza-counter ratio argument

Sometimes the total isn’t given. Instead, you’re told what one person gets. That’s still an “equal parts” question -- you just work backwards.

Worked example: one share given

Question: C and D share money in the ratio $3 : 5$ . C gets £48. Work out how much D gets.

C’s £48 represents $3$ equal parts.

Step 1: Find one part

\text{one part}=\frac{48}{3}=16

Step 2: Find D’s share ( $5$ parts)

\text{D gets }5\times 16=80

So D gets £80.

This style shows up a lot in GCSE papers because it tests whether you truly understand what the ratio numbers mean.

GCSE ratio questions where the difference is given

These are the ones that feel like a trick -- but they’re actually very logical.

If the ratio is $3 : 5$ , the difference in parts is $5 - 3 = 2$ parts. If you’re told the difference in money is £18, that means $2$ parts are worth £18.

Worked example: difference given

Question: E and F share money in the ratio $4 : 9$ . F gets £55 more than E. Work out how much each gets.

Step 1: Difference in parts

9 - 4 = 5

So the difference is $5$ parts.

Step 2: Value of one part

\text{one part}=\frac{55}{5}=11

Step 3: Find each share

E=4\times 11=44

F=9\times 11=99

So E gets £44 and F gets £99.

This “difference in parts” method is exactly the kind of thing that earns method marks in GCSE mark schemes.

GCSE ratio and proportion: scaling recipes and ingredients

At some point, ratio questions stop being about sharing money and start being about scaling a recipe, a paint mix, or an ingredients list. That’s where proportion sits next to ratio.

Maths Genie has a focused page on this: Proportion Recipe Questions, plus the broader revision area: Proportion revision.

Worked example: scaling a recipe (direct proportion)

Question: A recipe uses flour, sugar and butter in the ratio $6 : 2 : 3$ . You need $g550\text{ g}$ of mixture in total. How many grams of sugar are needed?

Step 1: Total parts

6 + 2 + 3 = 11

Step 2: One part

\text{one part}=\frac{550}{11}=50

Step 3: Sugar is $2$ parts

\text{sugar}=2\times 50=100

So you need $g100\text{ g}$ of sugar.

Notice how this is structurally the same as sharing money. The context changes, but the method doesn’t.

GCSE ratio as a fraction of the whole (a common exam twist)

Exam boards love asking what fraction of a group is one category.

If the ratio of girls to boys is $2 : 3$ , then total parts are $2 + 3 = 5$ . The boys represent $3$ parts out of $5$ , so the fraction is $35\dfrac{3}{5}$ .

Worked example: ratio to fraction

Question: The ratio of red to blue counters is $7 : 8$ . What fraction of the counters are red?

Total parts:

7 + 8 = 15

Fraction red:

\frac{7}{15}

That’s already in simplest form.

This links closely to fraction skills, so if you’re rusty, use GCSE revision on Maths Genie to revisit fractions and proportional reasoning.

For A Level students: why GCSE ratio still matters

If you’re doing A Level Maths, ratio questions can feel “beneath you”. But ratio is really the language of modelling: gradients compare change in $y$ to change in $x$ , trigonometric ratios compare sides, and scaling arguments appear everywhere from mechanics to graphs.

Maths Genie’s A Level practice includes ratio ideas in a different outfit, like trigonometric ratios: A Level Trigonometric Ratios Questions. The point isn’t that A Level is full of “share £80” questions -- it’s that the discipline of equal parts, consistent scaling, and clear structure carries upwards.

Common mistakes in GCSE ratio questions (and how to avoid them)

Even strong students lose easy GCSE marks on ratio because they rush the setup. Here are the patterns to watch.

Simplifying only one side of a ratio

To simplify $12 : 18$ , divide both sides by $6$ :

12 : 18 = 2 : 3

If you only change one side, you’ve changed the comparison.

Divide both sides, not just your hopes

Forgetting to add parts for the total

In $5 : 7$ , total parts are $12$ , not $7$ . A surprising number of GCSE mistakes come from dividing the total by the larger number in the ratio.

Mixing up “difference” and “total”

If you’re told “B gets £20 more than A”, that’s a difference question. The correct move is to subtract parts: $b - a$ .

Not checking whether the question wants a ratio or an amount

Some GCSE questions ask you to “write the ratio in the form $1 : n$ ” or “in its simplest form”. Others want pounds, grams, or centimetres. Train yourself to circle what the final answer should look like.

Not using units consistently

Ratios must compare like with like. If you see $cm350\text{ cm}$ to $cm25\text{ cm}$ , that’s fine. But if it’s $m3\text{ m}$ to $cm40\text{ cm}$ , convert first so the units match.

Bringing it together: make GCSE ratio questions predictable

A lot of revision advice sounds like motivation. Ratio doesn’t need motivation -- it needs a repeatable structure. Every GCSE ratio question is really asking: “How many equal parts are there, and what is one part worth?” Once you train that habit, you stop relying on luck.

To push your ratio marks up quickly, use Maths Genie like a loop: learn the method, practise exam questions, mark with the solutions, then redo the ones you missed.

Start with the lesson pages: Sharing an amount between a given Ratio and Writing and Simplifying Ratios
Add proportion practice: Proportion revision and Proportion Recipe Questions
Then test it under exam conditions: GCSE Predicted Papers and Target Tests

Revision planner humour

If you treat ratio as a skill you can rehearse, not a puzzle you must “figure out”, your GCSE confidence improves fast. And that confidence tends to spill into everything else -- because the student who can organise a ratio question can usually organise a whole paper.