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Extract common factors of polynomials
Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
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Last modified 25/08/2018 20:30
 Pure mathematics
 Algebra
Key Stage 4 / GCSE, Transition to university, Stage 1

Complete the square and find solutions
Solve a quadratic equation by completing the square. The roots are not pretty!
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Last modified 22/08/2018 09:15
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Complete a frequency table and find the measures of central tendency
Given a table of data, calculate the mean, mode and median, and complete a frequency table.
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Last modified 20/07/2018 10:19
 Statistics
 No topics selected
Key Stage 4 / GCSE, Transition to university

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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Find the equation of a line through two points  negative gradient
Use two points on a line graph to calculate the gradient and $y$intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.
This particular example has a negative gradient.
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Last modified 18/06/2018 14:49
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Key Stage 4 / GCSE, ALevel, Transition to university, Stage 1

Find the equation of a line through two points  zero gradient
Use two points on a line graph to calculate the gradient and $y$intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function, which allows the student to check their answer against the graph before submitting.
This particular example has a 0 gradient.
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Last modified 18/06/2018 14:48
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Key Stage 4 / GCSE, ALevel, Transition to university, Stage 1

Find the equation of a line through two points  positive gradient
Use two points on a line graph to calculate the gradient and $y$intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.
This particular example has a positive gradient.
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Last modified 18/06/2018 14:45
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Key Stage 4 / GCSE, ALevel, Transition to university, Stage 1

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 14/06/2018 11:34
 Pure mathematics
 Algebra
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Calculate the measures of central tendency for a sample
This question provides a list of data to the student. They are asked to find the mean, median, mode and range.
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Last modified 11/06/2018 15:23
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Key Stage 4 / GCSE, Transition to university

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 14/11/2017 09:38
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