Shows how to define variables to stop degenerate examples.

Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

Shows how to define variables to stop degenerate examples.

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

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A randomised table is contained in a div tag with the id #sales-table, so it can be styled using the CSS preamble.

A randomised table is contained in a div tag with the id #sales-table, so it can be styled using the CSS preamble.

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Fiddling about with a new extension providing a "quantity" data type: an amount with units.

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

Given a set of curves on axes, generated from a function and its first two derivatives, identify which curve corresponds to which derivative.

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Apply partial diffenetiation in a geology problem.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Real life problems with differentiation

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Application of differentitaion in geology. A projectile problem.

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Slope of a curve at a point

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

Five graphs are sketch. Task is to select those that look like parabolas/quadratics.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

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

Gentle intro to modular arithmetic through quotients and remainders

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

This quiz poses questions on basic probability and statistics.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.