Plot the Fourier series coefficients for a piece-wise linear function.  Write a Python script to reproduce the same figure.

Some examples of interactive plots illustrating mathematical concepts, supported by Python exercises.

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The number of patients arriving at a dentist’s surgery each afternoon follows
a Poisson distribution, with a mean of four patients per hour.
Calculate the probability that in a particular one-hour period

Asks students to apply laws of logical equivalence to prove the equivalence between two logical statements. The quiz should accept any correct answer (as long as each step is included, with one law per step), and provides detailed feedback on mistakes.

Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

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The student is given a connected graph and must find a minimum spanning tree.

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Partial differentiation question with customised feedback to catch some common errors.

moment of inertia - cylinder

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Shows how to use the programming extension's preload function to load files from the question resources into the Python or R code runners.

Look at the question's JavaScript preamble.

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moment of inertia - cylinder

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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set of exercises on double and triple integrals

mass of tetrahedron via integration

A set of practice questions for primary teaching students studying Mathematical Patterns and Relationships

convert large numbers to scientific notation

NC NA Non-calculator and Number and Algebra strand. This number assesses students' ability to add and subtract very simple fractions. Students need two add two fractions (possibly mixed numbers) involving quarters and/or halves, then subtract their answer from a whole number. The answer must be entered in simplest form and will always be less than one.

Convert between improper fractions and mixed numerals

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

Add, subtract, multiply of divide two mixed numbers. This question has no advice at this stage.

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Area and perimeter of rectangles