Christian Lawson-Perfect

Questions on geometric sequences.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Questions asking you to find the equation of a line between two points, in Cartesian coordinates.

Given sequences with missing terms, find the common difference between terms.

Given arithmetic sequences with some terms missing, fill in the missing terms.

Given a formula for a sequence, calculate a given term.

Questions on the subtleties and pitfalls of methods of data collection.

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Questions on arithmetic, or linear, sequences.

Solve a quadratic equation by completing the square. The roots are not pretty!

First part asks for the probability of rolling an even number. Second part asks for the probability of not rolling either of two given numbers.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Apply the factor and remainder theorems to manipulate polynomial expressions

Questions on rearranging expressions, expanding brackets and collecting like terms.

Uses an extension to embed SageMath cells into content areas.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

The student must perform an indefinite integration, and include a constant of integration.

A custom marking algorithm identifies the name of the student's constant of integration, and replaces it with 'c' before comparing with the expected answer.

If the student enters something like '2c' instead of 'c', it'll be marked wrong, which is an error in the marking.

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This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Identify when the student gives an expected incorrect answer, and give appropriate feedback as well as partial marks.

Given a statement in words of a relationship between two variables, write down a corresponding formula. It's marked correct if values satisfying the relationship satisfy the formula, and values not satisfying the relationship don't.

Then, given a value for one of the variables, work out the value of the other one. They're substituted into the formula given in the first part and marked correct if it's satisfied.

Both parts use custom marking algorithms.

Work out the volume of a prism with a trapezium cross-section.

This question explores an understanding of an energy balance over a process stream.

An exam using an experimental theme to use KaTeX to render maths instead of MathJax

Some questions that use the quantities extension to handle units.

Asks the student to add two single-digit numbers, one of which might be negative.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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