Student is given a triangle with the value of 1 side and 2 or 3 angles and asked to find the value of another side. Triangle can be acute or obtuse.

Side and angle lengths are randomised. Units are randomised.

Student is given a triangle with 2 or 3 side lengths given and asked to use the sine rule to find the value of an angle. Triangle can be acute or obtuse.

Side and angle lengths are randomised. Units are randomised.

Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

This question assesses the students ability to calculate and convert between different types of compound units, including rates of pay, speed and unit pricing.

This test will assess a students ability to work with piecewise and composite functions.

Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

This question gives information for students on how to answer number entry parts, with some opportunities to try submitting answers.

Unit rates and converting rates.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students need to read the speed of the given object from the table, then convert from m/s to km/h. There are 7 objects, and hence 7 different possible questions.

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3230 Radiation and Matter Core Exercises, Unit One

Practice of conversion between SI units of mass, volume & length.

Based on Chapter 8, quite loosley.Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Convert a metric measurement to another order of magnitude, e.g. g to kg.

Adapted from Q1 of the sample paper for Unit 1

Multiplying matrices (pre-defined sizes in answers)

Introduces unit/identity matrices

A demo of the "quantities with units" extension and custom part type.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non Calculator. Students are asked to determine how many 5mL teaspoon measures would fill a container with volume given in litres There are seven different volumes.

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A couple of different ways of showing the correct answer to a single part as soon as the student submits an answer. One way allows the student to change their answer, while the other locks the part.

A third part includes a "reveal answers to this part" button, which allows the student to choose to reveal the answer to the part.

Think very carefully before using this: by revealing the answer, you are removing the opportunity for the student to later on realise they've got that step wrong, as a consequence of some further work. It's often possible to use adaptive marking to use the student's answer in place of the correct answer in later parts.

Conversions of units

In this question, the imaginary unit $\sqrt{-1}$ is written as $j$ instead of $i$.

The letters i, j and k are used to represent the standard 3D unit vectors.

Testing your ability to manipulate units.

Shows how the \text command is rendered using the plain-text font, not the LaTeX one. Useful for displaying units of measurement and English words inside equations.

This shows how to use variable name annotations inside \simplify to display a 3D vector in terms of the standard unit vectors $\boldsymbol{i}$, $\boldsymbol{j}$, $\boldsymbol{k}$

Converting units, scientific notation, currency conversions 

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