Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

Uses the $\chi^2$ test to see if there is any significant difference in preferences.

Practice MCQ to decide which quadrant a complex number lies in.

Alternative version of Graphs: Match graph to its adjacency matrix, where the student must match an adjacency matrix to a graph.

The student is shown one graph, and asked to type the adjacency matrix

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In this question the students have to solve a linear recurrence of order 1. The sequence is asked in recurrence form and the goal is to find its closed form.

Multiple choice. Students need to select the correct simplification for a given expression. 

This question has four versions. Skills required are: using Pythagorean identities, converting to sine or cosine. Some also require fraction division.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

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

MCQ for basic order of operations

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

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This question assesses the learner's ability of calculating confidence intervals for numerical data and conducting a one-sample t-test.

Randomized input values: sample summary statistics and confidence level.

Adapted from question 7.12 in OpenIntro Statistics (4th ed).

Question Covering AC power and frquency response

Part (a) - dividing a total quantity given a ratio

Part (b) - given the value of one part of the ratio to find the total quantity.

The student is asked to find the square root of an integer of the form $\pm n^2$. If the root is not real, they should enter "nan".

A custom marking algorithm extends the built-in one to deal with "nan".

There's some custom javascript to set the expected answer correctly. In the future this will be possible in the marking algorithm - see https://github.com/numbas/Numbas/issues/856

Multlipying and subtracting mixed numbers. It is expected that a calculator is used to perform this question.

MCQ to calculate selling price when given cost price and VAT rate.

MCQ to calculate the relative percentage error in a simple multiplication.

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Question Covering AC power and frquency response

MCQ - Pick the correct cost price when given the selling price and rate of VAT.

Rounding three different values to different significant figures.

Converting millilitres to litres and kg to mg.

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