This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

Compute a table of values for a cubic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Nature of fixed points of a 2D dynamical system.

These examples are either centres or spirals.

Asking users to input coefficients of a system of diff equations so that the phase space is a stable spiral. All systems input by the user are graphed together with immediate feedback. Also included in the Steps are the graphs of the solutions for $x(t),\; y(t);\; x(0)=-5,\;y(0)=5.$

Asking users to input coefficients of a system of diff equations so that the phase space is a saddle. All systems input by the user are graphed together with immediate feedback. Also included in the Steps are the graphs of the solutions for $x(t),\; y(t);\; x(0)=-5,\;y(0)=5.$

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Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Experimental question using JSXGraph to provide dynamic, interactive graphs.

Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.

Calculate the Pearson correlation coefficient on paired data and comment on the significance.

rebelmaths

Idenitifying straight-line graph equations

Identifying positive, negative and no correlations.

Self-assessment questions. Solve 50% of the available marks to pass this exercise.

No description given

Simple counting exercise, with combinations

Introduction to counting with permutations and combinations

Questions around induction, also illustrating statements where only one of induction start/induction step actually works.

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This test checks that students understand the principles of double entry bookkeeping

Given an ODE solution: $y=  b x^n + cx$

Use a condition: $y(1)=a$ to find the particular solution and hence the value of $y(d)$.

Cálculo del módulo, argumento, multiplicación por conjugado complejo, dados dos números complejos.

Operaciones combinadas con números complejos.

Multiplicación y división de números complejos. 

Inverso y división de números complejos.

Multiplicación y suma de números complejos.

Ejemplos elementales de multiplicación y suma de números complejos. 

Questions on the construction $t+U$ where $K$ is a field, $t\in K^n$, $U\subseteq K^n$ (in parts a) - d), $K=\mathbb R$ and $n=2$ so that we can draw pictures). Part e) is a bit more abstract and probably more difficult.