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IB Mathematics Command Terms

Definitions, expectations, and tips for IB DP and MYP exams.

Quick Recall Commands

These commands ask for an answer only. Lengthy working wastes time.

CommandWhat you must doExam tip
Write downObtain the answer, usually by reading it straight from a table, diagram or the information given — no working is required or expected. Don’t show working
StateGive a specific name, value or brief answer without explanation or calculation. One line only
IdentifyProvide an answer from a number of possibilities — pick the correct one from what is given. Select, don’t derive
LabelAdd labels (names or values) to a given diagram or graph. Annotate precisely

Computation Commands

These commands require working. Method marks are awarded for correct steps.

CommandWhat you must doExam tip
CalculateObtain a numerical answer showing the relevant stages of working. Working required
FindObtain an answer, showing relevant working. Working required
SolveObtain the answer(s) using algebraic, numerical or graphical methods — typically for an equation or inequality. All solutions, please
DetermineObtain the only possible answer — often by a chain of reasoning rather than a single formula. Unique answer
EstimateObtain an approximate value for a quantity. Sensible accuracy
VerifyProvide evidence that validates the given result — usually by substituting back or checking the conditions hold. Substitute back

Reasoning & Justification Commands

These commands demand a logical argument, not just a result.

CommandWhat you must doExam tip
Show thatObtain the required result (possibly using information given) without the formality of a full proof. The target answer is printed — your working must lead to it. Never use the printed answer in your working
ProveGive a formal proof or a sequence of logical steps leading to the result. Every step justified
DeduceReach a conclusion from the information given — the answer must follow from the data, not from elsewhere. Use the given data
DeriveManipulate a mathematical relationship to obtain a new equation or relationship. Algebra from the start
HenceUse the preceding work to obtain the required result — starting from scratch loses the method mark. Must build on earlier part
Hence or otherwiseUse the preceding work or any other method to obtain the required result. Previous part usually fastest
JustifyGive valid reasons or evidence to support an answer or conclusion. Reason + result
DemonstrateMake clear by reasoning or evidence, illustrating with worked examples. Show, don’t claim

Description & Interpretation Commands

These commands are answered in sentences based on the context.

CommandWhat you must doExam tip
DescribeGive a detailed account — say what is happening (a pattern, trend or feature). What only
ExplainGive a detailed account including reasons or causes — say what and why. What + why
CommentGive a judgment based on a given statement or result. Refer to context
InterpretUse knowledge and understanding to recognise trends and draw conclusions from given information. Meaning, in context
SuggestPropose a solution, hypothesis or other possible answer — more than one may be acceptable. Reasoned guess ok
DistinguishMake clear the differences between two or more concepts or items. Contrast both sides

Graph & Diagram Commands

Drawing commands are marked on specific features like shape, intercepts, and asymptotes.

CommandWhat you must doExam tip
SketchRepresent by means of a diagram or graph, labelled as appropriate. A sketch gives a general idea of the shape and includes relevant features (intercepts, maxima/minima, asymptotes). Shape + key features
PlotMark the position of points on a diagram accurately, to a given scale. Accuracy matters here
AnnotateAdd brief notes to a diagram or graph. Short labels only

How Command Terms Map to Marks

Match your response to the command and the mark allocation.

Marks ≠ lines
A 1-mark “state” needs one line; a 6-mark “show that” needs every step. Let the command, not your speed, set the answer length.
Hence
Means the mark scheme expects you to reuse the previous part. Restarting from scratch usually loses the method mark even with a correct answer.
Show that
The answer is printed, so it is useless as a working step. Derive it fully — and if stuck later, you may use the printed result in subsequent parts.
Explain & interpret
Answer in the context of the question (“the population grows faster after 2010…”), not as an abstract statement about the function.

Ready to practise? Apply these on the DP Mathematics (AA & AI) or MYP Mathematics exam resources.