This question takes the student through variety of examples of quadratic inequalities by asking them for the range(s) for which $x$ meets the inequality.

In the first three parts, rearrange linear inequalities to make $x$ the subject.

In the last four parts, correctly give the direction of the inequality sign after rearranging an inequality.

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

A quadratic is given and sketched. Based on the sketch, task is to determine the number of solutions to the equation $f(x)=0$.

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Practice finding parallel and perpendicular lines to a given line.

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Practice dividing polynomials using the long division method.

Straightforward question: student must find the general solution to a second order constant coefficient ODE. Uses custom marking algorithm to check that both roots appear and that the solution is in the correct form (e.g. two arbitrary constants are present). Arbitrary constants can be any non space-separated string of characters. The algorithm also allows for the use of $e^x$ rather than $\exp(x)$.

Unit tests are also included, to check whether the algorithm accurately marks when the solution is correct; when it's correct but deviates from the 'answer'; when one or more roots is incorrect; or when the roots are correct but constants of integration have been forgotten.

Simple addition 3

Simple addition, is it true?

Scorm?

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

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Transposition of formulae. Changing the subject of an equation. 

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Find roots and the area under a parabola

Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

Template question. Seven statements given and student should determine if they are true or false.  It is possible that 1,2,3,4,5 or 6 out of the 7 statements will be true and these are all equally likely.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each .

Multiplication of $2 \times 2$ matrices.

The simplest case. Divisor is single digit. There is no remainder. 

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Student sketches 1/x, by plotting several points and then selecting the graph from a list

Student sketches 1/x, by plotting several points and then selecting the graph from a list

Summation Notation

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Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.

15 questions based on module so far.