322 results authored by Christian LawsonPerfect  search across all users.

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Last modified 18/10/2019 07:29
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Exam (1 question) Draft
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Last modified 09/10/2019 15:35
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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: $X \times Y \neq Y \times X$.
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Last modified 24/09/2019 15:27
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Interactive NewtonRaphson method
Write down the NewtonRaphson formula for finding a numerical solution to the equation $e^{mx}+bxa=0$. 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.
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Last modified 15/09/2019 18:52
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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.
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Last modified 09/09/2019 11:51
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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.
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Last modified 16/08/2019 12:31
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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 gapfill 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.
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Last modified 13/08/2019 20:21
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Complete the square and find solutions
Solve a quadratic equation by completing the square. The roots are not pretty!
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Last modified 13/08/2019 16:36
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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.
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Last modified 13/08/2019 11:54
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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.
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Last modified 13/08/2019 11:53
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