Multiplication of $2 \times 2$ matrices.

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

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

Some questions that use the quantities extension to handle units.

Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

rebelmaths

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

rebelmaths

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires integration by parts.

I feel this question has too many questions inside it, I have since made a question that just asks a single division problem called Decimals: Division (includes rounding the answer).

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

In progress!

By powers of ten I mean a 1 followed by some 0s. The scientific notation questions will take care of the power of ten notation.

A graph of an (invertible) cubic is given. The question is to determine values of $f$. Non-calculator. Advice is provided.

A graph (of a cubic) is given. The question is to determine the number of roots.

Simple ratio question with custom marking and partial credit possible

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

old question, way too many things in one question! I have made better questions out of each part now.

I think I prefer the other question I made called "Rounding to 0, 1, 2 and 3 decimal places"

Evaluate a limit

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Understanding of intersection and union symbols.

Understanding of intersection and union symbols.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

This quiz is designed to help you practise your integration techniques.

Improvements needed:

• Add some definite integrals to Q2
• Use different variables

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.