IB Economics SL & HL Topic 5 — Exam Skills and Assessment Papers 2 & 3 Calculation skill ~9 min read

Working Through Calculation Questions

Calculation questions are the fairest marks in IB Economics: there is a right answer and a clear route to it. They are also where careless students bleed marks, because the examiner is paying at least as much attention to your method as to your final number.

📚 What you need to know

The four lines that earn the marks

Whatever the calculation is, the layout of a full-mark answer is the same. Four lines, in this order. Get into the habit now and it becomes automatic under pressure.

What a full-mark calculation looks like four lines, in this order, every single time 1. Write the formula in symbols method 2. Substitute the numbers from the data method 3. Show the working, do not jump to the answer accuracy 4. State the answer with its unit final mark Lines 1 and 2 are the marks nobody can take away from you. Even if the arithmetic goes wrong at line 3, the method has already scored.
Writing the formula out costs about five seconds and protects you against every kind of slip that follows.
Students who write only the final answer are gambling. If the number is right they get everything; if it is wrong they get nothing. Showing the method turns that gamble into a safe bet.

The formulas you will actually use

Percentage change percentage change = ((new − old) ÷ old) × 100
Price elasticity of demand PED = percentage change in quantity demanded ÷ percentage change in price

The same shape covers most of the others: elasticity is always one percentage change divided by another, and every percentage change uses the same formula above. Learn the shape once and you can rebuild the rest under exam pressure.

Reading the number once you have it

Many calculation questions are followed by a short “comment on” or “interpret” part. That is a separate skill: the number on its own is not an answer, it needs a meaning.

Reading a PED value ignore the minus sign, then look at the size quantity barely responds quantity responds a lot inelastic: less than 1 elastic: more than 1 0 1 raise price → revenue rises raise price → revenue falls The value is only half the answer. What it means is the other half. PED is normally negative, so quote the sign but judge the size.
Elasticity has no units, so do not attach a dollar sign or a percentage to it. It is a plain number.

Worked examples

WORKED EXAMPLE

Percentage change

A country’s real GDP rises from $250 billion to $265 billion. Calculate the percentage change in real GDP. [2]

Step 1: formula % change = ((new − old) ÷ old) × 100 Step 2: substitute = ((265 − 250) ÷ 250) × 100 Step 3: work it through = (15 ÷ 250) × 100 = 0.06 × 100 = 6% The unit here is the % sign. Leaving it off can cost the final mark.
WORKED EXAMPLE

Price elasticity of demand

When the price of a cup of coffee rises from $4.00 to $4.60, quantity demanded falls from 500 to 440 cups a week. Calculate the PED. [4]

Step 1: percentage change in quantity demanded ((440 − 500) ÷ 500) × 100 = −12% Step 2: percentage change in price ((4.60 − 4.00) ÷ 4.00) × 100 = 15% Step 3: divide PED = −12 ÷ 15 PED = −0.8 Keep the minus sign. Dropping it is one of the most common single-mark losses in the paper.
WORKED EXAMPLE

Interpretation

Using your answer above, comment on the elasticity of demand for coffee and on what happens to the seller’s revenue. [2]

Step 1: name the value and what it means PED is −0.8, and 0.8 is less than 1, so demand is price inelastic. Step 2: say it in words A change in price causes a proportionately smaller change in quantity demanded. Step 3: link to revenue Revenue was 500 × $4.00 = $2000. It is now 440 × $4.60 = $2024. Demand is inelastic, so revenue rises The numbers confirm the theory. Using them as evidence is what lifts an answer into the top band.

💡 Exam tip

⚠ Common mix-up

Up next: Structuring a Paper 1 Essay — how to turn a blank page and a 25-mark question into a plan you can actually write in 75 minutes.

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