A detailed look at how algebraic fractions can be manipulated and simplified.

Add, subtract, multiply and divide numerical fractions.

Adapted from 'Algebraic fractions: operations involving algebraic fractions' by Ben Brawn.

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Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Converting a percentage to a fraction and decimal.

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

Given a number evaluate simple power, negative power, to one half.

Practice with adding, subtracting and dividing basic algebraic fractions

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

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Given a number evaluate simple power, negative power, to one half.

Display a fraction, given as a numerator and a denominator, as a mixed fraction when appropriate.

Fourth part of the Core Foundation Maths pre-arrival self-assessment material:

Question 1:  Algebra IV: Properties of indices (1) - Multiplication/Division                                 

Question 2: Algebra IV: Properties of indices (2) - Fractions                                 

Question 3: Algebra IV - Properties of Indices (4) - Further

Question 4: Numbers V: standard index form (conversions and operations)                                 

Given a number evaluate simple power, negative power, to one half.

Addition, multiplication and division of fractions.

A variety of worded fraction questions.

 Basics, percentage of an amount, converting to fractions and decimals.

Practice with adding, subtracting and dividing basic algebraic fractions

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem. 

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

Fractions

Fractions

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

All of these can be done without a calculator.

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.

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.

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.

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