Common mistakes

Wrong answers have names

Most marks aren’t lost to hard maths — they’re lost to a dozen recurring, nameable errors. Our question bank builds its wrong options from these exact mistakes, so we can tell you precisely which ones you make. Here’s the catalogue: what each one is, why your brain does it, and the fix.

36 questions carry this trap

Using the wrong base in percentage change

Percentage change is always measured against the ORIGINAL value: (new − old) ÷ old.

The fix
32 questions carry this trap

Reading the adjacent cell

The most common table mistake isn't arithmetic at all — it's pulling the number from the row above, the column beside, or a similarly named header, then computing perfectly with the wrong data.

The fix
46 questions carry this trap

Dividing by the wrong total

"What share is X?" means X ÷ (the relevant total).

The fix
47 questions carry this trap

The decimal slip

An answer that's exactly 10× or 100× off isn't a maths error — it's a decimal slip: a percentage not converted (×5 instead of ×0.

The fix
25 questions carry this trap

Averaging averages without weights

Combining two group means by simple averaging is only valid when the groups are the same size.

The fix
10 questions carry this trap

Rearranging speed–distance–time wrongly

Speed = distance ÷ time, and the other two follow by rearrangement: distance = speed × time, time = distance ÷ speed.

The fix
55 questions carry this trap

Inverting the rate

Converting with a rate goes one way; the return trip divides.

The fix
51 questions carry this trap

Stopping one step early

A multi-step question's intermediate result is almost always among the answer options.

The fix
12 questions carry this trap

Concluding what the data doesn't say

In True/False/Cannot-say questions, 'Cannot say' is correct whenever the statement needs information the exhibit doesn't contain — however plausible the statement sounds.

The fix
25 questions carry this trap

Answering the complement

Computing the probability (or percentage) of the event when the question asked for its opposite — or vice versa.

The fix
62 questions carry this trap

Confusing absolute and relative change

"Which grew most?" has two correct answers depending on the question: the biggest absolute change (in units) or the biggest relative change (in %).

The fix
25 questions carry this trap

Doubling instead of compounding

Two years of 10% growth is ×1.

The fix
Find yoursThe free diagnostic names the mistakes you actually make — these pages teach the fix.