Transition to university

Apply formulas to calculate the areas of various shapes.

Questions on adding, subtracting, multiplying and dividing numbers in standard form.

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

Identify well-known fractional equivalents of decimals. Convert obscure decimals and recurring decimals into fractions.

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

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

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.

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

Work with measurements of weight, mass and density.

Calculate outcomes for different configurations of rolling two dice. 

Questions involving the calculation of the volumes of shapes.

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

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

Questions on manipulating logarithms.

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

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

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

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.

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

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

A collection of questions on working with units of measurement, mainly in the SI/metric system.

Several 'real-world' examples.

Identify the centre of enlargement and the scale factor in a transformation of an image A to an image B

Determine the way in which an image A has been reflected onto an image B.

Previous throws don't affect the probability distribution of subsequent throws. Believing otherwise is the gambler's fallacy.

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.

Some questions on working with surds.

Substitute given values into formulas.

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.

Calculations and graphs involving measurements of speed.

In the first three parts, rearrange linear inequalities to make $x$ the subject.

In the last four parts, correctly give the direction of the inequality sign after rearranging an inequality.