A quadratic function is given. The graph of the function is drawn with three coordinates on the graph, without any x or y ticks.  The $x$ coordinate is given for a couple and $y$ coordinate given for the third, and coordinates are asked for.

A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

Practice with adding, subtracting and dividing basic algebraic fractions

student is to re-arrange the equations $pV=nRT$ and $mgh = \frac{1}{2}mv^2$

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Four sinusoidal graphs are given. Student should select the one which is sine and cosine.

Multiply two numbers in standard form, then divide two numbers in standard form.

This question aims to test understanding and ability to use the laws of indices.

Assessment of application of different model selection approaches in multiple regression.

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A really simple question which asks the student to multiply two matrices.

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Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

Some quadratics are to be solved by factorising

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Simple Indefinite Integrals

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Antiderivatives

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Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

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Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.

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