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Replace two forces with a equivalent force-couple system at a specified point.

3D equilibrium of a particle problem.  Rectangular steel plate supported by three cables, dimensions and density given.

Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.   

Simplify, if possible,
(a) $\frac{2}{3}x^2 + \frac{x^2}{3}$, (b) $0.5x^2 + \frac{3}{4}x^2 - \frac{11}{2}x$, (c) $3x^3 - 11x + 3yx + 11$, and (d) $-4\alpha x^2 + \beta x^2$ where $\alpha$ and $\beta$ are constants.

The numbers and letters are all randomised.

Part of HELM Book 1.3

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Korting en nieuwe prijs berekenen op basis van oude prijs.

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

Voorbeeldvragen examencommissie

Hoogte, valtijd en gemiddelde snelheid berekenen.

Multiple choice

Voorschrift dalende exponentiële functie.

Schopafstand berekenen en controleren of de bal in het doel belandt.

Antwoord in °C. Hoogte moet omgezet worden in km.

Voorschrift opstellen en aankoopprijs berekenen uit totale prijs.

Zoek het voorschrift van de even functies.

Op basis van de grafiek even of oneven beoordelen.

Quiz designed to test integration of powers of x including negative powers, surds, fractions, etc.

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In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

Several questions on interrogating the mtcars dataset built in to R.

The student must write R code to assign the given value to the variable x.

This question shows how to display a plot generated in matplotlib from code written by the student.

Given an unknown list, the student must write Python code to create a copy of it.

There's an alternative to catch the case where the student's variable is just a reference to the original list.

Given an unknown list, the student has to write code to return the last item in the list.

Given a randomly-generated list, the student must write code to return its first value.

There's an alternative to check if they get the second item, which they might do if they don't realise Python lists are zero-indexed.

The student must write code to compute the standard deviation of an unknown list of measurements.

The suggested answer uses numpy.std.

This is the simplest demonstration of the "code" part type I could think of: write Python to assign x = 1.

An alternative answer gives a hint if the student's code doesn't define x at all.

Students are shown a bar chart. There is a slider that adjusts the height of one of the bars. Students are asked to adjust the slider to make that particular bar value the mode.