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Expansion of brackets
This question is made up of 10 exercises to practice the multiplication of brackets by a single term.
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Last modified 16/05/2019 17:08
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Key Stage 4 / GCSE, ALevel, Transition to university, Stage 1

Expand brackets and collect like terms
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Last modified 16/05/2019 16:48
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Create an algebraic expression from a word problem, simplify, and evaluate
Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.
The word problem is about the costs of sweets in a sweet shop.
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Last modified 16/05/2019 16:41
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Key Stage 4 / GCSE, ALevel, Transition to university, Stage 1

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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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 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
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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  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