What Maths Do You Actually Need for A-Level Economics?
If you are thinking about taking A-Level Economics, you may have heard that there is quite a lot of maths involved.
There is some. But it is probably less frightening than it sounds.
You do not need calculus or trigonometry, and you do not need to be studying A-Level Maths. Most of the maths used in A-Level Economics is based on things you will already have met at GCSE: percentages, ratios, averages, graphs and straightforward calculations.
The difference is that you have to use those skills in an economic context.
Calculating that something has increased by 12% is useful. But the calculation is only the start. You then need to think about whether 12% is a large or small change, why it occurred and what might happen as a result.
That is really the mathematical challenge in economics: do the calculation accurately, then understand what it means.
AQA, Pearson Edexcel and Cambridge International all expect students to use quantitative skills throughout A-Level Economics. For AQA and Edexcel, at least 20% of the marks involve quantitative skills.
This article is not meant to be a complete list of every calculation you might meet during the two-year course. There are some calculations connected with particular topics that you will learn as you go along. The aim here is simply to give you a good idea of the sort of maths involved in A-Level Economics.
If you are mainly wondering whether the maths should put you off choosing economics, you might want to read Do You Need Maths for A-Level Economics? first.
Ratios, Proportions and Percentages
Economists spend a lot of time comparing things.
How much debt does a household have compared with its income? What share of a market belongs to one firm? What proportion of a group is unemployed?
Ratios, proportions and percentages give us different ways of making those comparisons.
Imagine that 30 people out of a group of 40 are in work.
The proportion in work is:
30 ÷ 40 = 0.75
In other words, three quarters of the group are in work.
We can also express the same proportion as a percentage:
0.75 × 100 = 75%
Percentages are useful because they make comparisons particularly easy.
Take a firm with sales of £200 million in a market worth £800 million.
Its market share is:
£200m ÷ £800m × 100 = 25%
The £200 million tells us how much the firm sells. The 25% tells us how large it is compared with the whole market.
Ratios work slightly differently.
A household with £60,000 of debt and an annual income of £30,000 has debt equal to twice its annual income. Its debt-to-income ratio is therefore:
2:1
None of these calculations is difficult. The thing to watch is what you are comparing with what, and therefore which number should be divided by which.
Percentage Change
This is one of the calculations you are likely to use again and again.
Why do we need it?
Because an absolute change can tell us surprisingly little.
A £10,000 increase in a £100,000 house price is very different from a £10,000 increase in a £500,000 house price.
The first is a 10% increase. The second is only 2%.
The formula is:
Percentage change = (new value − original value) ÷ original value × 100
If average house prices rise from £250,000 to £265,000:
£265,000 − £250,000 = £15,000
Then:
£15,000 ÷ £250,000 × 100 = 6%
So house prices have risen by 6%.
The most common mistake is dividing by the new figure rather than the original one. A useful way to remember it is:
change compared with where we started.
There is another little trap here. If the number of unemployed people rises from 1.5 million to 1.8 million, the number unemployed has risen by 20%.
That does not necessarily mean the unemployment rate has risen by 20%. The unemployment rate is the number of unemployed people as a percentage of the labour force — broadly, the people who are either working or looking for work. If the size of that labour force has changed as well, the unemployment rate will change differently.
It is worth being clear about exactly what you have calculated.
Percentage Points
This sounds technical but is actually very simple.
Imagine inflation rises from 2% to 3%.
The difference is 1 percentage point.
But the inflation rate itself has increased by 50%, because:
(3 − 2) ÷ 2 × 100 = 50%
Those are two different ways of describing the change.
The same applies to interest rates. If an interest rate rises from 4% to 5%, that is:
• a rise of 1 percentage point;
• a 25% increase in the interest rate.
Students regularly muddle percentages and percentage points, so it is worth getting comfortable with the distinction early.
Averages: Mean and Median
Economic data often contain thousands or even millions of individual figures, so economists need simple ways of summarising them.
Take these five salaries:
£20,000
£22,000
£24,000
£26,000
£108,000
The total is £200,000, so the mean salary is:
£200,000 ÷ 5 = £40,000
But £40,000 does not give a particularly good picture of what most people in the group earn. Four of the five earn £26,000 or less.
The median is the middle value when the figures are placed in order.
Here, the median is:
£24,000
That may give us a better idea of what a typical person in this particular group earns.
When people use the word “average”, they often mean the mean. But economic statistics sometimes use the median instead, particularly for things such as wages, household incomes and house prices.
A small number of very high values can pull the mean upwards, as they have in our example. So it is worth checking which average is being used and whether it gives a useful picture of the data.
Index Numbers
Index numbers may be unfamiliar when you first meet them, but the basic idea is straightforward.
Sometimes economists want to track something that cannot be represented by one simple price.
The cost of living is a good example. Food, clothes, petrol, rent and restaurant meals may all be changing in price at different rates.
An index gives us a way of showing how the overall price level has changed.
The Consumer Prices Index, or CPI, is a good example.
One period is chosen as the base period and given an index value of 100.
Imagine this:
| Year | CPI |
|---|---|
| 2020 | 100 |
| 2023 | 105 |
| 2026 | 120 |
The 100 simply means that 2020 is our starting point.
An index of 105 means the general price level is 5% higher than in the base period.
An index of 120 means it is 20% higher.
There is nothing special about 2020. It has just been chosen as the reference point.
One useful trap to know about is what happens when an index is already above 100.
If the CPI rises from 120 to 126, prices have not risen by 6%.
They have risen by:
(126 − 120) ÷ 120 × 100 = 5%
The index has risen by six index points, but prices have risen by 5%. That distinction is easy to miss. Also notice that the years in the table are not consecutive — another reason to check the dates carefully before interpreting an index.
Costs, Revenue and Profit
Some of the maths in economics is about businesses.
A firm wants to know how much money it is receiving from sales, what it costs to produce what it sells and whether it is making a profit.
The basic calculations are very straightforward.
If a business sells 1,000 products at £20 each:
Revenue = price × quantity
So:
£20 × 1,000 = £20,000
If producing those goods costs £16,000:
Profit = revenue − costs
So:
£20,000 − £16,000 = £4,000
A business might also want to know its average cost per unit:
Average cost = total cost ÷ quantity produced
In this case:
£16,000 ÷ 1,000 = £16 per unit
Later in the course you will meet some additional cost and revenue calculations. They sound more complicated when you first see the terminology, but the underlying arithmetic remains fairly simple.
Knowing the average cost of producing something, for example, helps a firm compare its costs with the price it charges and think about how profitable production is.
Nominal and Real Values
Money figures can be misleading when prices are changing. If your salary rises by 4%, you might assume that you are better off. But what if prices have risen by 6%? You have more pounds in your pay packet, but those pounds buy less.
Economists therefore distinguish between nominal and real values. A nominal figure is simply the money amount at the time. A real figure adjusts for changes in prices.
As a rough guide, if wages rise by 4% and prices rise by 6%, real wages have fallen by roughly 2%.
For more precise comparisons, economists can use a price index.
Imagine someone earned £30,000 in the base year, when the price index was 100.
A few years later they earn £36,000, but the price index has risen to 120.
Their salary has increased by 20%, but prices have also increased by 20%.
So although they receive more pounds, their purchasing power has not actually increased.
We can show that with:
Real value = nominal value ÷ price index × 100
So:
£36,000 ÷ 120 × 100 = £30,000
In other words, £36,000 when the price index is 120 has the same purchasing power as £30,000 did in the base year.
You are unlikely to find this difficult once you understand why the calculation is being made. Economists are simply trying to separate a genuine increase from one that has happened because prices have risen.
Elasticity
This is probably the most “economics-looking” maths you will meet early in the course. The word can sound intimidating. The idea isn’t.
Economists often want to know how strongly people respond to a change. If the price of something rises, we would normally expect people to buy less of it. But by how much?
A 10% price rise might reduce sales by only 1% for one product but by 30% for another.
One measure you will learn is price elasticity of demand.
It compares the percentage change in the amount people buy with the percentage change in price:
Price elasticity of demand = % change in quantity demanded ÷ % change in price
If price rises by 10% and the amount bought falls by 5%:
−5 ÷ 10 = −0.5
The minus sign simply shows that the amount bought has moved in the opposite direction to price.
You will learn how to interpret that result during the course. For the moment, the important point is the level of maths involved: you are dividing one percentage change by another. Later you will meet other kinds of elasticity, but they follow the same basic principle.
In an exam you may be given the original prices and quantities rather than the percentage changes, so you might first need to calculate those percentages yourself.
Reading Economic Data
Some of the most important mathematical work in economics does not involve complicated calculations at all.
You may be given a chart, graph or table containing economic data and asked to explain what has changed or what the figures suggest.
For example:
| Year | Inflation | Wage growth |
|---|---|---|
| 2025 | 5% | 3% |
| 2026 | 3% | 4% |
A quick reading tells us that inflation has fallen and wage growth has increased. A little more thought tells us something more useful.
Inflation fell by 2 percentage points, while wage growth increased by 1 percentage point.
But notice what falling inflation does not mean. Prices have not fallen. An inflation rate of 3% still means that prices are rising — just more slowly than when inflation was 5%.
The same sort of care is needed when reading graphs. If the rate of economic growth falls, for example, the economy may still be growing. It is simply growing more slowly.
Going back to our table, wages were rising more slowly than prices in 2025. In 2026, wages were rising faster than prices. So the purchasing power of wages was falling in the first year and increasing in the second. There is nothing mathematically difficult about that. The skill is in reading the information carefully and working out what it actually tells you.
Before calculating anything, check the headings, years, axes and units. Students lose surprisingly easy marks by reading the wrong figure or misunderstanding what a chart is showing.
A Few Common Traps
Most mistakes in A-Level Economics maths are not caused by difficult mathematics. They are much more ordinary.
| Watch out for | Remember |
|---|---|
| Dividing percentage change by the new value | Compare the change with the original value |
| Confusing percentages and percentage points | They are not the same thing |
| Saying lower inflation means prices are falling | Prices may simply be rising more slowly |
| Saying slower economic growth means the economy is shrinking | It may still be growing |
| Treating a six-point rise in an index as a 6% rise | Calculate the percentage change properly |
| Forgetting units such as £ or % | Check what the question asks for |
| Rushing into a chart or table | Read headings, dates, axes and units first |
| Doing a calculation and giving no interpretation | Ask what the result actually means |
These are all very fixable mistakes.
So, How Much Maths Is There Really?
If you are reasonably comfortable with GCSE-level percentages, ratios, averages and graphs, you already have most of the mathematical foundation you need. You will learn some new formulas and some new terminology as the course develops, but you will normally meet them alongside the economics they are being used to explain.
I would not try to memorise all of this before starting A-Level Economics. Instead, make sure you are confident with the basics. In particular, percentage change is worth being able to do comfortably.
And whenever you calculate something, get into the habit of asking one more question:
What does this answer actually tell me?
That is where the maths and the economics start to come together. Economics is not mathematics with some words added afterwards. The maths is there because it helps us compare things, measure changes and make better sense of what is happening in the real world.