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The students should solve a Blakley secret sharing scheme and find the secret.

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Dummy question to test random() function when first decimal place of upper limit of range is 4, and test of currency() function.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

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

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Shows how to use the bin function to group data into equal-sized intervals.

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

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

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

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

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

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

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Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

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

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

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

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