322 results authored by Christian Lawson-Perfect - search across all users.

Refine by Refine by

• SageMath Cell

Uses an extension to embed SageMath cells into content areas.

Question Draft

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• MathJax v3

This exam uses a theme which uses MathJax v3 to typeset mathematics.

Exam (1 question) Draft

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Mark the product of two matrices in a mathematical expression part

A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

Question Draft

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Interactive Newton-Raphson method

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Question Should not be used

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Christian's copy of Numbas demo: motion on a slope

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.

Question Draft

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Mark equations

All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.

Any equation with the same solution set as the expected answer will be marked correct.

Question Ready to use

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Ask for significand and exponent of a number in scientific notation separately

This question shows how to ask for a number in scientific notation, by asking for the significand and exponent separately and using a custom marking algorithm in the gap-fill part to put the two pieces together.

Answers not in standard form, i.e. with a significand not in $[1,10)$, are accepted but given partial marks.

Question Draft

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Complete the square and find solutions

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

Question Ready to use

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Only mark a gap depending on the answer to a previous gap.

Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

Question Should not be used

CC BY Published

• No subjects selected
• No topics selected

No ability levels selected

• Pattern matching - factorise an equation

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

Question Ready to use

CC BY Published