GCSE Maths Quiz: Ratio, Proportion & Measures

Work out the value of \(x\).

The diagram shows three pieces of glass in a conservatory roof. Work out the height, \(h\), of the smallest piece.

The diagram shows three angles on a straight line. Set up and solve an equation in \(x\) to help you work out the size of the smallest angle.

A rectangle has length \(x\) cm and width \(y\) cm. You are given that \(x\) : \(y\) = 5 : 2 Work out an expression for the perimeter in terms of \(x\). Give your answer as simply as possible.

Describe fully the single transformation that maps shape A to shape B.

Adults help with walking in the ratio: number of adults : number of children = 1 : 5. 3 adults can help with walking on Saturday. Is this enough?

A group of people go sailing in the ratio number of adults : number of children = 1 : 2. What fraction of the group are adults? (Multiple correct answers)

A plasterer uses this formula to work out how much she charges (£C). C = 30 + 10A A is the area to be plastered to the nearest square metre. How much does she charge for a rectangular ceiling measuring 7.6m by 2.4m?

A base for a shed has a volume of 3.8 cubic metres. 55% of the base is concrete. The rest is steel. A lorry delivers ready-mixed concrete in loads of 6 cubic metres. How many of these bases can be built with 5 loads of concrete?

The ratio \(x\) : \(y\) = 2 : 3. Use this information to write an equation connecting \(x\) and \(y\).