math-exercise examples

Interactive answer checking for Quarto

Give students a question they can try while reading your notes. They might complete a calculation, compare equivalent expressions, or move points on a diagram. These examples show ways to make that practice part of the lesson.

Choose a page below. Try an answer and select Check; if you need help, Feedback can suggest a next step. Open Show source beneath an activity when you want to adapt it for your students.

TipTrying the exercises

Use x^2 for a power, 2*x for multiplication and sqrt(2) for a square root. Input help explains more. For graphical tasks, follow the instructions to move points or draw a curve before checking your answer.

Basic exercise features

Input widths, captions, multiple fields, labels, partial credit, forms, and random task pools.

Expressions and equivalence

Equivalent expressions, required algebraic forms, exact answers, numerical tolerances, solution sets, derivatives, and integrals.

AI feedback

Help that uses your lesson explanation, with hints that leave students something to work out for themselves.

Vektorer og matriser

En fullstendig norsk testside for rad- og kolonnevektorer, matriser, symbolske uttrykk, numerisk toleranse og oppgavepooler.

Open-ended assessment

Five tasks where many answers can be correct: mathematical properties, relationships between fields, iterative processes, and matrix constraints.

Dynamic matrix input

Nine custom-assessment examples with student-selected dimensions, including the canonical empty matrix and whole-vector assessment.

Graphical answers

Click points, move graph handles, select one period, and draw or refine curves directly in JSXGraph.

Graph theory

Construct freely placed graphs and check trees, Euler circuits, planarity, and bipartiteness with NetworkX.