Rationalise the denominator with increasingly difficult examples involving compound denominators. 

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

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem. 

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. 

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. 

Find the original price before a discount by dividing the new price by the percentage discount.

Given a student discount, calculate a discounted price.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

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. 

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

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

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.

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

Predicting the probability of an unbiased coin landing on heads based on the results of previous throws.

This question provides a list of data to the student. They are asked to find the "median".

This question provides a list of data to the student. They are asked to find the "range".

This question provides a list of data to the student. They are asked to find the "mode".

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

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

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

Small, simple question.

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

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

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

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

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Given a student discount, calculate a discounted price.

This question assesses

• the students ability to apply both theoretical and experimental probability to calculate expected values 
• the students understanding of how to calculate the relative frequency of an outcome

The question also helps to show students how using experimental probability and theoretical probability results in different expected values of an outcome.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

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