Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.

Find the missing whole number power in an equation.

Given 3 vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, find the constants $p$, $q$ and $k$ such that $ p\mathbf a + q \mathbf b = \mathbf c$, where $k$ is an unknown component of $\mathbf c$ .

Given 3 vectors $\mathbf v$, $\mathbf a$ and $\mathbf b$, find the constants $c_1$ and $c_2$ such that $\mathbf v = c_1 \mathbf a + c_2 \mathbf b$ .

Find the remainder when dividing two polynomials, by algebraic long division.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

Find the number of people with heights greater then mean plus two times the standard deviation.

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Shear and bending moment diagram for a beam loaded with an arbitrary parabolic distributed load described with a loading function.  Integrate to find reactions and equations for shear and bending moment.

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This question provides a list of data to the student. They are asked to find the "range".

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

This question provides a list of data to the student. They are asked to find the "median".

This question provides a list of data to the student. They are asked to find the "mode".

This question provides a list of data to the student. They are asked to find the "range".

Find a percentage of an amount.

Find the original price before a discount by dividing the new price by the percentage discount.

Multiples, factors, lowest common multiples and highest common factors.

Number sequences - find a missing number

Find the volume of a prism with a trapezium as a cross section from a diagram.

Find the volume of a semicylinder from a diagram.