Area Stage 4 - Short Problems

A collection of short Stage 4 problems on area and volume


Weekly Problem 39 - 2011

Stage: 4 Challenge Level: Challenge Level:1

Of these five figures, which shaded area is the greatest? The large circle in each figure has the same radii.

Weekly Problem 4 - 2012

Stage: 4 Challenge Level: Challenge Level:1

What fraction of the volume of this can is filled with lemonade?

Weekly Problem 3 - 2009

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

What fraction of the area of this regular hexagon is the shaded triangle?

Weekly Problem 19 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?

Weekly Problem 34 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Can you work out the fraction of the larger square that is covered by the shaded area?

Weekly Problem 51 - 2010

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Three circles have been drawn at the vertices of this triangle. What is the area of the inner shaded area?

Weekly Problem 30 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Three touching circles have an interesting area between them...

Weekly Problem 7 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 7 - 2014

Weekly Problem 23 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 23 - 2014

Weekly Problem 52 - 2014

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 52 - 2014

Weekly Problem 5 - 2015

Stage: 4 Challenge Level: Challenge Level:1

Weekly Problem 5 - 2015

Weekly Problem 15 - 2015

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 15 - 2015

Weekly Problem 17 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 17 - 2015

Weekly Problem 26 - 2015

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 26 - 2015

Weekly Problem 31 - 2015

Stage: 4 Challenge Level: Challenge Level:1

Weekly Problem 31 - 2015

Weekly Problem 37 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 37 - 2015