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.

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

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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rebelmaths

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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.

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.

rebelmaths

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Express $\displaystyle a \pm  \frac{c}{x + d}$ as an algebraic single fraction.

Example of a universal statement over the integers and its negation

Simple Indefinite Integrals

Cramers Rule applied to 3 simultaneous equations

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 is made up of 10 exercises to practice the multiplication of brackets by a single term.

A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.

Given  $P(A)$, $P(A\cup B)$, $P(B^c)$ find $P(A \cap B)$, $P(A^c \cap B^c)$, $P(A^c \cup B^c)$ etc..

Multiple response question (3 correct out of 6). Selection of questions from a pool. Real data from a YouGov survey.