Ratio and proportion

If a new and an old television have screens of the same area, what is the ratio of their widths?

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Show that it is rare for a ratio of ratios to be rational.

Two right-angled triangles are connected together as part of a structure. An object is dropped from the top of the green triangle where does it pass the base of the blue triangle?

Weekly Problem 37 - 2007
This regular hexagon has been divided into four trapezia and one hexagon.... what is the ratio of the lengths of sides p, q and r?

Which exact dilution ratios can you make using only 2 dilutions?

Use the grids to draw pictures to different scales.

Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?

How can the school caretaker be sure that the tree would miss the school buildings if it fell?