problem Triangle in a Trapezium Age 11 to 16 Challenge level Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
problem The Farmers' Field Boundary Age 11 to 14 Challenge level The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
problem Rod Area Age 7 to 11 This task challenges you to create symmetrical U shapes out of rods and find their areas.
problem Triangle transformation Age 7 to 14 Challenge level Start with a triangle. Can you cut it up to make a rectangle?
problem Completing Quadrilaterals Age 11 to 14 Challenge level We started drawing some quadrilaterals - can you complete them?
problem Towering Trapeziums Age 14 to 16 Challenge level Can you find the areas of the trapezia in this sequence?
problem Quadrilaterals in a Square Age 11 to 14 Challenge level What's special about the area of quadrilaterals drawn in a square?
problem Triangles in a Square Age 11 to 14 Challenge level What are the possible areas of triangles drawn in a square?
problem Kite in a Square Age 14 to 18 Challenge level Can you make sense of the three methods to work out what fraction of the total area is shaded?
problem Growing Rectangles Age 11 to 14 Challenge level What happens to the area and volume of 2D and 3D shapes when you enlarge them?