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  • Find the equation of a line through two points - zero 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 0 gradient.

    Question Ready to use

    CC BY Published

    Last modified 14/11/2018 18:16

    • No subjects selected
    • No topics selected

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

  • 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 the square and find solutions

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    Solve a quadratic equation by completing the square. The roots are not pretty!

    Question Ready to use

    CC BY Published

    Last modified 22/08/2018 09:15

    • No subjects selected
    • No topics selected

    No ability levels selected

  • 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

  • Factorising Quadratic Equations with $x^2$ Coefficients of 1

    by Hannah Aldous and 2 others

    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.

    Question Ready to use

    CC BY Published

    Last modified 14/06/2018 11:34

    • Pure mathematics
    • Algebra

    No ability levels selected

  • Calculate the measures of central tendency for a sample

    by Stanislav Duris and 2 others

    This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

    Question Ready to use

    CC BY Published

    Last modified 11/06/2018 15:23

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, Transition to university

  • Find and use the formula for a geometric sequence

    by Hannah Aldous and 1 other

    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 14/11/2017 09:38

    • No subjects selected
    • No topics selected

    No ability levels selected