Quiz designed as summary test for MAST resource: Differential Equations (A Level Further Maths content)

Quiz designed as summary test for MAST resource: Hyperbolic Functions (A Level Further Maths content)

An ODE is displayed (in standard form).  Choices are presented to classify the ODE: fist/second order, linear/nonlinear, homogeneous/nonhomogeneous.

Given three vectors with integer components, find the corresponding magnitude and direction.

A randomised quiz covering the main topics for trigonometry in BLDG1022.

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Calculating the derivative of a function of the form $\frac{(x-a)^2}{bx}$, finding its stationary points and determining their nature.

Finding the stationary point of a function of the form $\frac{a \ln(x)}{x}$ and determining its nature.

Finding the stationary points of a cubic equation and determining their nature.

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Finding a vector when given the magnitude of the vector and a parallel vector.

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

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A comparison of the means of three groups.

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Here you need to choose the side of a right triangle relative to the indicated angle shown in green. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.jSpqP5QT

Rigid body equilibrium problem.  Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

Equilibrium of a particle, solution by rotating coordinate system.

Skills Audit for students on Mathematics programmes 2026/27