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  • Expansion of brackets

    by Picture of Bradley Bush Bradley Bush and 1 other

    This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

    Question Ready to use

    CC BY Published

    Last modified 16/05/2019 17:08

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1

  • Expand brackets and collect like terms

    by Picture of Bradley Bush Bradley Bush and 2 others

    Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

    Question Ready to use

    CC BY Published

    Last modified 16/05/2019 16:48

    • No subjects selected
    • No topics selected

    No ability levels selected

  • Create an algebraic expression from a word problem, simplify, and evaluate

    by Picture of Bradley Bush Bradley Bush and 1 other

    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.

    Question Ready to use

    CC BY Published

    Last modified 16/05/2019 16:41

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1

  • Find and use the formula for a geometric sequence

    by Hannah Aldous and 2 others

    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.

    Question Ready to use

    CC BY Published

    Last modified 14/05/2019 14:59

    • No subjects selected
    • No topics selected

    No ability levels selected

  • Identifying different types of sequences

    by Hannah Aldous and 1 other

    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.

    Question Ready to use

    CC BY Published

    Last modified 14/05/2019 14:52

    • No subjects selected
    • No topics selected

    No ability levels selected

  • Extract common factors of polynomials

    by Picture of Bradley Bush Bradley Bush and 2 others

    Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

    Question Has some problems

    CC BY Published

    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

    by Stanislav Duris and 1 other

    Given a table of data, calculate the mean, mode and median, and complete a frequency table.

    Question Ready to use

    CC BY Published

    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

    by Hannah Aldous and 1 other

    Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

    Question Ready to use

    CC BY Published

    Last modified 28/06/2018 01:02

    • No subjects selected
    • No topics selected

    No ability levels selected

  • Find the equation of a line through two points - negative gradient

    by Picture of Bradley Bush Bradley Bush and 2 others

    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.

    Question Ready to use

    CC BY Published

    Last modified 18/06/2018 14:49

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1

  • Find the equation of a line through two points - positive gradient

    by Picture of Bradley Bush Bradley Bush and 3 others

    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.

    Question Ready to use

    CC BY Published

    Last modified 18/06/2018 14:45

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, A-Level, Transition to university, Stage 1