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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.

    Question Ready to use

    CC BY Published

    Last modified 14/11/2017 09:38

    • No subjects selected
    • No topics selected

    No ability levels selected

  • Solving linear simultaneous equations by elimination

    This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

    Question Ready to use

    CC BY Published

    Last modified 14/11/2017 09:35

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, Transition to university

  • Substitute values into formulas

    Substitute given values into formulas.

    Question Ready to use

    CC BY Published

    Last modified 17/10/2017 11:18

    • No subjects selected
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    No ability levels selected

  • Expand brackets and collect like terms

    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 17/10/2017 11:03

    • No subjects selected
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    No ability levels selected

  • Percentages and ratios - box of chocolates

    A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

    Question Ready to use

    CC BY Published

    Last modified 08/09/2017 13:10

    • No subjects selected
    • No topics selected

    Key Stage 4 / GCSE, Transition to university

  • 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.

    Question Ready to use

    CC BY Published

    Last modified 22/08/2017 18:31

    • 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 - 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.

    Question Ready to use

    CC BY Published

    Last modified 22/08/2017 18:30

    • No subjects selected
    • No topics selected

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

  • Drag points to given Cartesian coordinates

    Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

    Question Ready to use

    CC BY Published

    Last modified 22/08/2017 18:29

    • 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 - 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.

    Question Ready to use

    CC BY Published

    Last modified 22/08/2017 18:28

    • No subjects selected
    • No topics selected

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

  • Cumulative percent decrease

    Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

    Question Ready to use

    CC BY Published

    Last modified 22/08/2017 13:23

    • Numeracy
    • Arithmetic

    Key Stage 4 / GCSE, Transition to university