How to show your working in GCSE maths for method marks

GCSEMathsExam Prep6 min readBy Jono Ellis

Method marks are the safety net most students ignore. In GCSE Maths, the majority of marks on any multi-step question are awarded for the method you use – not just the final answer. That means even if you make a calculation error at the end, you can still pick up most of the marks by showing clear, logical working.

The problem is that many students either skip their working entirely or scribble something so messy that the examiner cannot follow it. Both cost marks. This guide explains exactly how marks are allocated, what examiners want to see, and how to lay out your working so you never throw away easy marks again.


Typically

50%+

of the marks on a multi-step GCSE Maths question are method marks – awarded for your working, not the final answer


Why method marks matter

Every GCSE Maths question worth more than one mark is split into method marks (M marks) and accuracy marks (A marks). M marks reward you for choosing the right approach and showing that you know what to do. A marks reward the correct final answer. There are also B marks, which are independent marks given for a correct intermediate value or statement.

Here is the key point: You can earn method marks even when your final answer is wrong. If you set up the right equation, substitute the correct values, or use the correct formula, the examiner can see your thinking and award M marks accordingly. But if you just write a final number with no working, you get zero for the method and zero for the answer if it happens to be wrong.

On a typical 5-mark question, three or four of those marks might be M marks. That means showing clear working could be the difference between scoring 0 and scoring 4 – even with a slip in your arithmetic.

How marks are allocated

Mark schemes use a simple code system. M1 means the first method mark, M2 means the second, A1 means the first accuracy mark, and so on. The accuracy marks almost always depend on the method marks – you cannot earn A1 unless you have already earned M1. This is called a dependent mark.

For example, a 4-mark question on calculating compound interest might be marked like this: M1 for writing the compound interest formula or multiplying by the correct multiplier. M1 for substituting the correct values. A1 for obtaining the correct total amount. A1 for subtracting the original to find the interest earned.

If you write the formula and substitute correctly but then press the wrong button on your calculator, you would still earn M1 M1 – two out of four marks. If you just write a single number with no working, you earn nothing.

Mark typeWhat it rewardsCan you earn it with a wrong final answer?
M – methodChoosing and applying the correct approachYes – this is the whole point of showing working
A – accuracyGetting the correct result at each stageNo – but you only need the preceding method mark
B – independentA correct value or statement that stands aloneNot applicable – it is awarded on its own
The three mark types used in GCSE Maths mark schemes.

What examiners actually want to see

Examiners are not looking for an essay. They want to see a clear chain of reasoning – one step per line, with enough detail that they can follow your logic. That means writing out each stage of your calculation separately, labelling what you are finding when it is not obvious, and keeping your working neat enough to read.

Here are the specific things examiners look for when awarding method marks. First, the correct formula or equation written out before you substitute numbers into it. Second, a clear substitution step showing the values you are using. Third, intermediate calculations – the results of each step, not just the final answer. Fourth, correct units on your final answer when the question asks for them.

You do not need to explain every thought in words. A well-laid-out chain of mathematical steps is usually enough. But if a question says "explain" or "give a reason", you will need a short sentence alongside your numbers.

Tip

Write one step per line and keep your equals signs lined up vertically. This makes your working easy to scan and helps the examiner find each method step quickly. It also helps you spot your own mistakes before you move on.

Good versus bad working example

Let's look at the same question answered two different ways to see the difference clearly.

Question: A train travels 180 km in 2 hours and 15 minutes. Calculate the average speed. Give your answer in km/h. (3 marks)

Bad working: 180 / 2.15 = 83.7 km/h.

This student has divided by 2.15 instead of converting 2 hours 15 minutes into a decimal. The final answer is wrong, and because there is no working showing how they got 2.15, the examiner cannot tell whether they knew the correct method. Result: 0 out of 3.

Good working:

2 hours 15 minutes = 2.25 hours (M1 – correct time conversion) Speed = distance / time Speed = 180 / 2.25 (M1 – correct substitution into formula) Speed = 80 km/h (A1 – correct answer with units)

This student earns all 3 marks. But even if they had made a calculator error on the final division – say they wrote 79.8 instead of 80 – they would still earn M1 M1 for the time conversion and correct substitution. That is 2 out of 3 marks saved by showing working.

Another example – algebra

Question: Solve 3x + 7 = 22. (2 marks)

Bad working: X = 5.

This is the correct answer, so it earns full marks here. But imagine you accidentally write x = 6. With no working, you get 0 out of 2. There is nothing for the examiner to award.

Good working:

3x + 7 = 22 3x = 22 – 7 (M1 – correct first step) 3x = 15 x = 15 / 3 x = 5 (A1 – correct answer)

If this student wrote x = 6 by mistake in the final line, the examiner can see that 3x = 15 is correct, so M1 is still awarded. That is 1 out of 2 instead of 0 out of 2 – and on a full paper, those rescued marks add up fast.

Common mistakes that lose method marks

The single most common mistake is writing only the calculator answer with no steps at all. Students press a sequence of buttons, get a number, and write it down. If that number is wrong, there are no method marks to fall back on. Even if the number is right, you are taking an unnecessary risk – one slip and you lose everything.

Another frequent mistake is doing all the working mentally and only writing down the final line. You might know that you converted the time correctly in your head, but the examiner cannot read your mind. If it is not on the page, it does not earn a mark.

Messy or disorganised working is also a problem. If the examiner has to hunt around the page to piece together your method, they may miss a valid step. Keep your working in a clear, top-to-bottom sequence.

Finally, students often forget to show the formula before substituting. Writing "180 / 2.25 = 80" is better than writing just "80", but writing "speed = distance / time" first and then substituting is better still, because it makes the method explicit.

Good to know

If a question is worth more than 1 mark, treat it as a signal to show your working. The number of marks tells you roughly how many steps the examiner expects to see.

Your method marks checklist

Before you move to the next question

Run through this checklist on any question worth 2 or more marks.

  • Write the formula or equation before substituting values
  • Show the substitution step – numbers in place of letters
  • Write each intermediate calculation on its own line
  • Convert units before using them (and show the conversion)
  • Keep your working in a clear top-to-bottom sequence
  • Include units on your final answer if the question asks for them
  • Circle or underline your final answer so it stands out
  • Read back through your steps to check for slips

Frequently asked questions


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