easy vector addition and scalar multiplication, for practice after Section 1 of lectures.

Student can choose one of all possible matrix products from the matrices given. Meant for voluntary extra practice. No extensive solutions: referred to other questions for this.

Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution.

A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.

Comprehensive solution written out in Advice.

Use matrix multiplication to get an equation for \(k\) which is then to be solved.

To understand matrix multiplication in terms of linear combinations of column vectors.

Asking the student to create examples of two matrices which multiply to zero but are not themselves the zero matrix. Then getting the student to think about some features of these examples.

Easy intro questions to be done when the students have seen the "vector space axioms" but not as axioms, just in the context of \(\mathbb{R}^n\).

Calculating with vectors in \(\mathbb{R}^4\), including resolving brackets. The fixed vector size is so that a test is fair to all students.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Question 3 from module 1 mid module assessment task

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A demo of the gap-fill part and its options.

Introductory exercise about set equality

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

Find the determinant of a $3 \times 3$ matrix.

check if students know the calendar and basics about fruits

Find a regression equation given 12 months data on temperature and sales of a drink. Includes an interactive diagram for experimenting with fitting a regression line.

rebelmaths

Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$

Showing off the part types.

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Adding and subtracting surds. Parts b) and c) involve simplification of surds.

Conversions of units

This question asks a student to draw a straight line graph by dragging points.

This question asks a student to draw a straight line graph by dragging points.

This question asks a student to draw a straight line graph by dragging points.

This question asks a student to draw a straight line graph by dragging points.