Area Stage 3 - Short Problems

A collection of short Stage 3 problems on area and volume



Weekly Problem 36 - 2011

Challenge Level: Challenge Level:1

Imagine cutting out a circle which is just contained inside a semicircle. What fraction of the semi-circle will remain?

Weekly Problem 38 - 2011

Challenge Level: Challenge Level:1

Given three concentric circles, shade in the annulus formed by the smaller two. What percentage of the larger circle is now shaded?

Weekly Problem 52 - 2011

Challenge Level: Challenge Level:1

Draw two intersecting rectangles on a sheet of paper. How many regions are enclosed? Can you find the largest number of regions possible?

Weekly Problem 16 - 2008

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

A 30cm x 40cm page of a book includes a 2cm margin on each side... What percentage of the page is occupied by the margins?

Weekly Problem 30 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?

Weekly Problem 50 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?

Weekly Problem 8 - 2010

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

Are you able to find triangles such that these five statements are true?

Weekly Problem 25 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

These four touching circles have another circle hiding amongst them...

Weekly Problem 49 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

When I place a triangle over a small square, or cover a larger square with the same triangle, a certain proportion of each is covered. What is the area of the triangle?

Weekly Problem 7 - 2011

Stage: 3 and 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Roo wants to puts stickers on the cuboid he has made from little cubes. Will he have any stickers left over?

Weekly Problem 33 - 2014

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 33 - 2014

Weekly Problem 49 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 49 - 2014