Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

This exercise will help you in expanding brackets of linear variables 

This is a set of questions designed to help you praction adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator

These basic questions will help you understand the increase and decrease in percent change

Recall and use of formulae for volume and surface area of a sphere.

Recall and interpretation of formula for area of a parallelogram.

Distinguishing -(72) and (-7)2.

Questions on addition, subtraction, multiplication and powers of negative numbers.

These short questions concentrate on conversion  between decimals and percentages

These short questions allow you to practice converting between decimals and fractions

Equations of type ax-b = c.

Includes advice.

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Non-calculator percentage increase and decrease calculations.

This test has a mixture of fundamentals questions.  You can use this to see which areas you need to practice.

These are worded questions on percentages.  They can be done without a calculator.

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.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.

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

It is designed for you to complete without a calculator.

This question is designed to give you some practice with cancelling down and multiplying up fractions.

You do not need a calculator for these.

This is a set of questions designed to help you praction adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator

A variety of non-calculator worded fraction questions.

This is a non-calculator questions on adding, subtracting, multiplying and dividing decimals.

This question concentrates on converting between decimals and percentages

This question allows you to practice converting between decimals and fractions

This question will help you practice converting between fractions and percentages

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A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

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