At a community library, the number of books \(x\) a member may currently have out on loan before a friendly reminder letter is posted through their door eac...

A cycle-hire scheme used by public transport commuters charges a fixed cost plus an hourly rate. The table below shows the cost, \(C\) pounds, of hiring a bi...

A corner shop's loyalty app has \(50\) registered customers. Set \(A\) is customers who buy coffee, \(n(A)=28\); set \(B\) is customers who buy pastries, \(n...

A phone company's circular exclusion zone, centre \(O\), has two straight maintenance tracks from an external junction \(P\), tangent to the zone at \(A\) an...

A phone company's triangular logo has sides of length \(5\) cm, \(7\) cm and \(9\) cm. For a shop sign, the logo is enlarged to a mathematically similar tria...

A bakery fits a triangular metal brace under a shop shelf. The brace is right-angled, with the two shorter sides measuring \(x\) cm and \((x+7)\) cm, and the...

A phone company compares two rural mast designs, each stabilised by a diagonal support wire meeting the ground at the angle shown. Design Mast height (m) Wir...

A science lab experiment grows seedlings under four different light conditions. The bar chart shows the number that germinated under each condition. 05101520...

A stage canopy support post at a music festival is capped with a cylinder of radius \(7\) cm and height \(H\) cm, topped with a cone of the same radius and h...