Given sequences with missing terms, find the common difference between terms.

Given arithmetic sequences with some terms missing, fill in the missing terms.

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

Work out the average percentage increase per year in price of an item, given two prices several years apart.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Given a formula for a sequence, calculate a given term.

Questions on the subtleties and pitfalls of methods of data collection.

Match up equations with the corresponding lines on a graph.

Some conceptual questions about parallel lines - fill in the gaps in some statements.

Identify the lines corresponding to given equations, and the lines parallel to lines with given equations.

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Find the remainder when dividing two polynomials, by algebraic long division.

This question tests the student's ability to find remainders using the remainder theorem. 

Deicde whether each of the described sets of data is drawn from a discrete or continuous distribution.

Given an equation with an unknown, determine if the unknown is positive or negative.

First part is the product of two numbers; second part is the product of three.

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.

Present some given data in a frequency table.

Convert from km to metres and miles, and miles to km.

Convert a height given in feet and inches into cm and then metres.

Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

Convert weights of babies between kg and lb and oz.

Given the common difference and first term of an arithmetic sequence, work out the index of the nth term of the sequence.

Framed as a word problem with ticket numbers in an ice cream shop.

Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.

Each part is broken into steps, with the formula given.

Questions on arithmetic, or linear, sequences.

This question assesses the student's ability to use some given information involving two different units of measurement to rewrite the information as a compound measure.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

Solve a quadratic equation by completing the square. The roots are not pretty!

Apply and combine logarithm laws in a given equation to find the value of $x$.