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A fill-in-the-blank style question to test vocabulary within the topic of Algebra.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.

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Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

Find the nth term and sum of n terms of a Geometric progression.

Find the nth term and sum of n terms of an Arithmetic progression

[This has been updated to include the sum of an AP as well. I haven't checked the answers yet. - 15 Nov]

Given a linear programming problem in standard form, write down the dual problem.

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Using trig identities to find solutions to equations

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Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Practice using the log rules to add and subtract logarithms

Algebra word problems using area and perimeter.

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Recognising the equation of a circle.

Find the points of intersection of a straight line and a circle.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

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.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

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.

Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

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Adding linear combinations of  polynomials over $\mathbb{Z}_3,\;\mathbb{Z}_5,\;\mathbb{Z}_7$

Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.
This version of the question asks for 10 fields to be filled rather than the full 25, although the question statement asks for 25. I am sure that the first version asked for all 25.