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Substitute values into formulae for the area or volume of various geometric objects.

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Substitute values into formulae for the area or volume of various geometric objects.

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Given some numbers in standard index form, convert to decimal form.

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Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.
Small, simple question.

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

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Multiply two numbers in standard form, then divide two numbers in standard form.

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This question aims to test understanding and ability to use the laws of indices.

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Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

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

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Multiplication and division of upper and lower bounds.

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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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This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number.

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Identify wellknown fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

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Add two numbers in standard form, then subtract two numbers in standard form.

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Convert a variety of numbers from decimal to standard index form.

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Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.

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This question aims to assess the student's understanding of the difference between biased and unbiased events and also to assess the student's understanding of the fact that the experimental probability tends towards the theoretical probability as the number of trials increases.

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Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

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Calculate outcomes for different configurations of rolling two dice.

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Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

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

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Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

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Manipulate surds and rationalise the denominator of a fraction when it is a surd.

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This question assesses the students ability to calculate and convert between different types of compound units, including rates of pay, speed and unit pricing.

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Calculate a speed in m/s given distance and time taken, then convert that to km/hour

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Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

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Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions.

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A graph shows both the speed and acceleration of a car. Identify which line corresponds to which measurement, and calculate the acceleration during a portion of time.

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Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$, in terms of $k$. $a$ and $b$ are constants.