This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

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Fill in a table of powers of 10.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Calculate the density of an object given its mass and volume.

Basic probability skills involving coins, dice and other events with equally likely outcomes.

Apply the factor and remainder theorems to manipulate polynomial expressions

A fill-in-the-blank style question to test vocabulary within the topic of Algebra.

Questions on rearranging expressions, expanding brackets and collecting like terms.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

This question provides an example of an initial bank account investment with a fixed return and tests the student's understanding of an application of intercepts.

Addition and subtraction of integers and decimals.

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

Complete the inequality relationships by selecting the correct symbol from a drop down box

Solving three simultaneous congruences using the Chinese Remainder Theorem:

\[\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*} \] where $\operatorname{gcd}(n_1,n_2,n_3)=1$

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Finding unknown sides/angles in right-angled triangles.  6 different combinations of unknowns are included in this single question. Makes my previous questions redundant

$x$ is given and (sin(x),cos(x)) is plotted on a unit circle.  Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.)

Student is asked to sketch $f(x)=\log_2(x)$, by plotting several points and selecting the correct graph.

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