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Towering Trapeziums
Of All the Areas
Graphs of Changing Areas
Area L
Areas and Integrals
Areas and Integrals
Integration can be better understood if you consider its relationship with area. All of the problems in this feature require you to think deeply about area, integrals, and the relationship between them.
Towering Trapeziums Age 14 to 16Challenge Level 
Age 14 to 16
Challenge Level
Can you find the areas of the trapezia in this sequence?
Of All the Areas Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
Graphs of Changing Areas Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...
Area L Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
