Error, percentage error and approximation.

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mean, median, mode,range, standard deviation

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rebelmaths

Integer Multiplication, Order of operations, working with fractions, decimal places, significant figures

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rebelmaths

Expanding Brackets, Simplifying Expressions, Simple transposition, rules of indices

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Integration by parts, trigonometric integrals, partial fractions, complete the square

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Normal Distribution, Binomial Distribution, Poisson Distribution 

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Area and Volume Questions

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Vector addition, multiplication by a scalar, magnitude, dot product, Perpendicular vectors, angle between vectors, cross product.

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Introduction to logs, Rules of logs, Log equations

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Linear equations, simultaneous linear equations in two variables

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Converting decimal numbers to binary numbers and vice versa.

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Transposition of formulae. Changing the subject of an equation. 

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Integration by Substitution

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Pythagoras Theorem, Trigonometric Ratios, radian and degrees, degrees to radians, Sine rule 

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

Shows how to define variables to stop degenerate examples.

Straightforward solving linear equations question.

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

More work on differentiation with trigonometric functions

This exercise will help you rearrange a linear equation to find the value of a given variable

These 5 questions will introduce the student to the Numbas system-

1. Input 1          

2. Input 2

3. Input 3

4. Input 4     

5. Input 5                                           

This exercise will help you solve equations of type ax-b = c.

Solving linear equations to find the value of x.

Basic solving of linear equations.

Basic calculation exercise using distance, mpg and cost per litre (with the conversion factor for gallons to litres given).

Based on a generic test QTS question.

These 5 questions will introduce the student to the Numbas system-

1. Input 1          

2. Input 2

3. Input 3

4. Input 4     

5. Input 5                                           

This question allows you to practice identifying the coordinates of points on graphs.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.