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Factorising Quadratic Equations with $x^2$ Coefficients of 1
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Last modified 20/05/2019 13:04
 Pure mathematics
 Algebra
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Find and use the formula for a geometric sequence
Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.
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Last modified 14/05/2019 14:59
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Identifying different types of sequences
Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.
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Last modified 14/05/2019 14:52
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Using Laws for Addition and Subtraction of Logarithms
Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.
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Last modified 28/06/2018 01:02
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Combining Logarithm Rules to Solve Equations
Apply and combine logarithm laws in a given equation to find the value of $x$.
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Last modified 14/08/2017 11:56
 Pure mathematics
 Arithmetic
Key Stage 4 / GCSE, ALevel, Transition to university

Factorising Quadratic Equations with $x^2$ Coefficients Greater than 1
Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
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Last modified 03/08/2017 09:25
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Last modified 01/08/2017 14:08
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Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$
Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.
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Last modified 01/08/2017 14:06
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Using the Logarithm Equivalence $\log_ba=c \Longleftrightarrow a=b^c$
Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.
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Last modified 01/08/2017 14:04
 Pure mathematics
 Arithmetic
Key Stage 4 / GCSE, ALevel, Transition to university

Use the quadratic formula to solve an equation in terms of an unknown variable
Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$, in terms of $k$. $a$ and $b$ are constants.
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Last modified 01/08/2017 13:56
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