No description given

No description given

Complementary function/particular integral for forced simple harmonic motion (non-resonant)

This question defines an otherwise-pointless pre-submit task of "wait for a while" before marking the student's answer, in order to demonstrate how to use the pre-submit tasks feature.

Practice of conversion between SI units of mass, volume & length.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}(e \operatorname{op5} f) $ where each of $a, \;b,\;c,\;d,\;e,\;f$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4},\;\operatorname{op5}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \to (p \lor q)$

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.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Fill in a table of powers of 10.

Elementary Exercises in multiplying matrices. 

Shows how to retrieve the student's answer to another part from a custom marking script.

No description given

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Résoudre des équations du second degré à une inconnue (cas d'un discriminant > 0, deux racines entières réelles et discrètes) à l'aide des formules.

Draws a triangle based on 2 angles and a side length.

Three parts, where the student has to collect together polynomials in $\mathbb{Z}_3$, $\mathbb{Z}_5$ and $\mathbb{Z}_7$, respectively.

The answer to part a has no $X$ term, because they cancel out.

Simple questions on identifying sequences/series etc.

Simple application of "Power Rule" to differentiate polynomials.

Some co-efficients and powers are non-integer and some may be negative.

Simple application of "Power Rule" to differentiate single term functions.

Some co-efficients and powers are non-integer and some may be negative.

This is a copy of a question by Ben Brawn. It replaces the JavaScript construction of the diagram with Eukleides.

This is a copy of a question by Ben Brawn. It replaces the JavaScript construction of the diagram with JSXGraph+JME.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

A function which renders the factorisation of a number in LaTeX.

Rearrange equations to make $x$ the subject.

Two questions on solving systems of simultaneous equations.

No description given

No description given