Introduces students to the floor and ceiling functions

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Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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Slope of a curve at a point

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

No solutions given in Advice to parts a and c.

Tolerance of 0.001 in answers to parts a and b. Perhaps should indicate to the student that a tolerance is set. The feedback on submitting an incorrect answer within the tolerance says that the answer is correct - perhaps there should be a different feedback in this case if possible for all such questions with tolerances.

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

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

Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.

Find roots and the area under a parabola

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

Calculations of the lengths of two 3D vectors, the distance between their terminal points, their sum, difference, and dot and cross products.

Given vectors  $\boldsymbol{v,\;w}$, find the angle between them.

Given vectors $\boldsymbol{v}$ and $\boldsymbol{w}$, find their inner product.

Find the nth term of an Arithmetic progression

Display a fraction, given as a numerator and a denominator, as a mixed fraction when appropriate.

Entering numbers and algebraic symbols  in Numbas.

Details on inputting numbers into Numbas.

Dealing with functions in Numbas.

This creates a 4x4 times table grid using numbers from 2 to 9. The step gives some advice on how to work out times tables (products, multiplications) if you can't remember them.

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Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

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A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

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