Drag points on an axis to plot a linear graph (integer gradient and intercept only)

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Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

A simple test of definitions, properties and transform tables. Useful for retrieval practice.

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Simplify (a) a fully-factorised fraction with common factors, and (b) a fraction where the numerator is a product and the denominator a sum sharing the same variables (that cannot be simplified). The variables are randomised. Part of HELM book 1.4

Simplify an algebraic fraction where both numerator and denominator must first be factorised. Part of HELM Book 1.4

Simplify an algebraic fraction where the numerator is a factor of the quadratic on the denominator. Posed as a yes/no question, is this fraction equivalent to this simplified form? The answer is always yes. Part of HELM Book 1.4

Simplify an algebraic fraction where the numerator and denominator first need to be factorised (the common factor is an integer). Part of HELM book 1.4

Simplify an algebraic fraction that is fully factorised with common factors between the numerator and denominator, and one of the variables has a larger index on the denominator. Part of HELM Book 1.4

Simplify a fraction where the numerator and denominator are factorised and have common products, and one of the common factors is powered. Part of HELM book 1.4

Tijd bepalen in uur en minuten.

Vul de x-waarden van de extrema in.

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Given 32 datapoints in a table find their minimum, lower quartile, median, upper quartile, and maximum.

This questions gives a bipartite graph and asks students to identify a full matching of the graph, if it exists.

In four parts, the student builds up the definition of a class representing a rectangle. First they write the constructor, then add methods to compute area and perimeter.

In the final part, they must use the methods to write a function which determines if a rectangle's area is larger than its perimeter.

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

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.

The student must write R code to define vectors, in a few ways.

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 question asks students to identify trees.

This question asks students to find a spanning tree for simple undirected graphs.

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Finding the confidence interval at either 90%, 95% or 99% for the population variance of a sample. $\chi^2$ tables are used. A single scenario is given.

2x2 by ad-bc, 3x3 by Laplace expansion, properties of determinants