This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

Tests the ability to find the gradient and intercept of a straight line graph.

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

When are vectors $\boldsymbol{v,\;w}$ orthogonal?

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This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Adding and subtracting two 3x3 matrices.

This uses an embedded Geogebra graph of a modulus function with random coefficients set by NUMBAS.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

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Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of amodulus function with random coefficients set by NUMBAS.

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

Manipulate surds and rationalise the denominator of a fraction when it is a surd.

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Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

A quartic is given and the student is asked whether the gradient is positive or negative at various values of x.

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Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Shows how to retrieve the student's answer to another part from a custom marking script.

Differentiate $f(x) = x^m(a x+b)^n$.

Shows how to retrieve the student's answer to another part from a custom marking script.