Introduction to using the product rule

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Two players collide. Given the masses, final speeds and impulse imparted on each, find their initial speeds.

aij  notation and definition of the order of a matrix.

Elementary Exercises in multiplying matrices. 

Compute the weighted average salary in a department, given four salary levels and the percentages of staff earning them.

(Added to calculator test.)

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Multiplying two 2 x 2 matrices.

Multiplication of $2 \times 2$ matrices.

In the Gaussian integer ring $\mathbb{Z}[i]$ , find the remainder $r=r_1+r_2i$, where $a \gt 0,\;b \gt 0$ , on dividing $a+bi$ by $c+di$ .

Questions on linear programming techniques, with interactive graphics.

Multiplying two 2 x 2 matrices.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Given an oracle function that will output its value given an input, and an interval within which a root exists, find the root to a given precision.

Makes use of a Geogebra applet.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Questions about complex arithmetic; argument and modulus of complex numbers; 

Denis's copy of Nick's copy of Henrik Skov's copy of Complex numbers

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Using three -part ratio and amounts of each colour available, calculate how much of a particular shade of paint can be made.

Given the derivatives of a cubic function at a point, find the value of the function at another point.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Cramers Rule applied to 3 simultaneous equations

Income tax

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Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

This question asks you to work out one value as a percentage of another.  You are expected to do these without the help of a calculator.

Given the ratio of ingredients and the total amount of ingredients work out how much of one of the ingredients is needed.

Find angle and side in a right angled triangle.

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This question allows you to practice working out a fraction of an amount.

It is designed for you to complete without a calculator.

Cofactors Determinant and inverse of a 3x3 matrix.

2 Converting Radians to Degrees

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