Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Rolling a pair of dice. Find probability that at least one die shows a given number.

Convert a number given in base 10 to a different base.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

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Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate one number as percentage of another.

Writing one number as a percentage of another.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Students are shown an unsorted list of 6 or 7 numbers and asked to calculate the median.

One number as a percentage of another.  Biology context. Includes standard form.
Realistic values.

Convert numbers between 0 and 1 from standard form/scientific notation.

Convert numbers greater than 1 from standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Finding element of a set, requires knowledge of inequality and notation for integer and real number.

Given the total cost, insurance cost, and daily cost of hiring a bicycle, calculate the number of days the bicycle was hired for.

Subtracting a decimal with 3 decimal places from a decimal with 2 or 3 decimal places. borrowing is necessary. This was modified from a subtraction question using integers with each number divided by 1000 so the variables have names referring to ones, tens, hundreds etc.

Primarily concerned with identifying when a number is in the thousands, million, billions or trillions.

Is this number divisible by 2? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Randomly chooses one of the following

a) Multiply numerical fractions. Simplifying is discussed in the advice but not required to get full marks.

b) Multiply a negative fraction by a whole number. Simplifying is discussed in the advice but not required to get full marks.

Randomly chooses one of the following

a) Divide numerical fractions. Simplifying is discussed in the advice but not required to get full marks.

b) Divide a negative whole number by a fraction. Simplifying is discussed in the advice but not required to get full marks.

Equivalent fractions, simplifying, adding, subtracting, multiplying and dividing fractions. Converting between mixed numbers and improper fractions.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

Students are asked to find either the initial production cost, or a gradient, or the break even point from a graph.
They are then asked to determine the profit or loss from the graph for the production of a particular number of units. This number is randomised.

Students are shown 4 network diagrams (randomly selected from a pool of 20) and asked to identify which of them are trees.

Students are awarded 1 mark for each correct identification, and lose 1 mark for each non-tree they select.

As the number of trees can change, the number of marks that this question is worth can also change, ranging from 1 to 4.