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These are some questions on graph theory, pulled from a module on groups and graphs.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.

A question to practice functions, graphs and domains

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

This question asks students to identify trees.

This question asks students to find a spanning tree for simple undirected graphs.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

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Find the equation of a line given a point and a parallel line.

Calculating gradient and finding intercept from a geogebra graph.

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Find the equation of a line given a point and a parallel or perpendicular line.

Reading a value from a stacked bar chart.

Reading a value from a simple bar chart.

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Students are shown 4 exponential equations, and 4 graphs and asked to match them.

This question displays one of 6 graphs and asks the yes/no question, "Does this graph contain a cycle"?

This question displays one of 10 graphs. It asks the student to either 

(a) count the vertices, or

(b) count the edges, or

(c) state how many vertices a spanning tree would contain, or

(d) state how many edges a spanning tree would contain, or

(e) state the degree of a selected (randomly chosen) vertex.

Students are given 4 parabola equations and their respective graphs and asked to match them.

Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

Students are given 4 equations for hyperbolas and 4 graphs and asked to match them.

Students are given the equation of a hyperbola and asked to identify the hyperbolic graph out of a set of 4 graphs.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

Drag points on an axis to plot a linear graph (integer gradient and intercept only)

Calculate the length of a line segment given two points