Graphs & Coordinate Geometry – Extended Subtopics
Select a subtopic and choose Paper 2 (Non-calculator) or Paper 4 (Calculator) worksheets.
Coordinate Geometry
Midpoints, gradients, parallel & perpendicular lines, distance formula, and equation of a line in forms ax+by=c and y=mx+c.
Linear Graphs
Plotting straight-line graphs, interpreting gradient & intercepts, solving equations graphically, and modelling relationships.
Quadratic & Further Graphs
Quadratic curves, turning points, symmetry, reciprocal graphs, exponential graphs and interpreting non-linear functions.
Tangents in a Graph
Estimating gradient using tangents to curves, interpreting rates of change and slope in graphical contexts.
Graphing Inequalities
Shading regions, boundary lines, solving inequalities graphically, and representing solution sets on coordinate planes.
Distance–Time Graphs
Interpreting motion, constant speed, rest intervals, gradients as speed, and comparing journeys using graphs.
Speed–Time Graphs
Acceleration, deceleration, area under the graph for distance travelled, and interpreting piecewise motion.