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Practice construction questions and graph sketching for IGCSE Papers 3 and 4. Use the drawing tools below or follow the step-by-step construction guides.
New: Looking for the function plotter, compass tool, angle measurer, or coordinate geometry tools? Try the Geometry Tools page →
Use pencil, straight line, circle, or arc tools to practise constructions. Toggle the grid and snap-to-grid for accuracy. Export your work as a PNG image.
For "Sketch the graph of y = ..." questions. Plot points or draw curves freehand on the axes. Adjust the axis range as needed.
Click and drag to sketch a curve freehand on the axes.
Step-by-step instructions for common IGCSE constructions. Each guide includes examiner tips and links to the sketch pad so you can practise.
Exam Tip: Always leave your construction arcs visible. Examiners award method marks for seeing the correct arcs, even if the final line is slightly off.
Constructs a line at right angles through the midpoint of a given line segment. Used to find the locus of points equidistant from two points.
2 marks (typically M1 for arcs, A1 for correct bisector)
Open your compasses to more than half the length of the line segment AB.
Tip: If the arc radius is too small the arcs won't intersect — always go well over half.
Place the compass point on A and draw arcs above and below the line.
Without changing the compass width, place the compass point on B and draw arcs above and below the line. The arcs should intersect at two points.
Tip: Do NOT adjust the compass between steps 2 and 3.
Use a ruler to draw a straight line through the two intersection points. This line is the perpendicular bisector.
Tip: Leave your construction arcs visible — examiners need to see them for the method mark.
Put your construction skills to the test with real IGCSE past paper questions. Our AI tutor gives you step-by-step feedback.