Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

Solve a 3 x 3 matrix system.

Solve a system of three simultaneous linear equations

Solve simultaneous equations,

Need to know indices and logarithm

Solve quadratic equations using formula.

This exercise will help you solve questions based on subduction zones using  the Cosine rule.

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

Newton-Raphson numerical method question to solve $g(x)=0$

Includes a graph of the function $g(x)$ in Advice using Jsxgraph.

Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

Solve an exponential equation

Solve a logarithmic equation

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

Find angle and side in a right angled triangle.

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Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Indices

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

Indices

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Solve for x and y on a given triangle and calculate the area

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Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.

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Scientific Notation

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Using e to solve equations involving the natural log

Simultaneous Equations

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Simultaneous Linear Equations

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Simple Linear Equations involving basic transposition

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No description given

Solve $\displaystyle{ax ^ 2 + bx + c=0}$ by factorisation. 

Find angle and side in a right angled triangle.

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Three forces act on a particle. You're given the magnitude of one, and the directions of all three. Find the magnitudes of the other two forces.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.