Use the pythagorean hyperbolic identity aftre a substitution to exaluate an integral (1 part).

Exercises on calculating the determinant of 2x2 and 3x3 matrices.

Find the determinant and inverse of a $2 \times 2$ invertible matrix.

Select a matrix from a list of 4 that makes the trandformation shown in a randomly chosen (from 4) diagram.

Multiplication of two matrices.

3-part question with drop-downs testing understanding of when matrices are conformable.

Matching exercise with terminology: zero, square, diagonal, identity, upper/lower triangular

Single part question with 2x2 matrix multiplied by a small integer.

Classifying matrices (dimensions/order) (5 parts).

Tests understanding of order and subscript notation for matrices (three parts)

Identify elements by their subscript notation from given matrices.

Use defintions of the hyperbolic functions to integrate by considering exponentials.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Rearrange and make a substitution to integrate a quotient to a function in terms of arsinh.

Use double angle an pythagorean identities to manipulate before integrating.

Using double angle and pythagorean identities (2 parts)

Multiple choice of hyperbolic functions (image of graph given).

A set of questions practicing finding equivalent fractions with an emphasis on simplifying.

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

Multiplication of square and non square matrices, Identity matrices and zero matrices

A 'concept test'.  3 multiple choice questions about a graphed normal distribution curve modelling IQ data.

No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

A 'concept test' (no calculations) with 4 multiple-choice parts.

This question contains information on how Numbas works, from the beginning of an exam to the end.

Note: it was written for students who access Numbas exams through the Numbas LTI provider. Some of the information does not apply to standalone exams, or those delivered through a generic SCORM player.

(a) Read subscript notation to identify an element in a 3x3 matrix; (b) chose the correct subscripted name from a list for a given element in a 3x3 matrix.

Find the determinant of a random (2x2) matrix.

The student is shown a circuit diagram with three logic gates. It's always in the form (a OP b) OP (b OP c).

They have to fill in a truth table for the circuit. There is a step which expands the truth table, adding a column for each of the first two gates.