This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
problem
Favourite
Growing rectangles
Age
11 to 14
Challenge level
What happens to the area and volume of 2D and 3D shapes when you
enlarge them?
problem
Favourite
Attractive rotations
Age
11 to 14
Challenge level
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
problem
Favourite
Reflecting squarely
Age
11 to 14
Challenge level
In how many ways can you fit all three pieces together to make shapes with line symmetry?
problem
Favourite
Shady symmetry
Age
11 to 14
Challenge level
How many different symmetrical shapes can you make by shading triangles or squares?
problem
Favourite
Mirror, mirror...
Age
11 to 14
Challenge level
Explore the effect of reflecting in two parallel mirror lines.
problem
Favourite
Robotic rotations
Age
11 to 16
Challenge level
How did the the rotation robot make these patterns?
problem
Favourite
...on the wall
Age
11 to 14
Challenge level
Explore the effect of reflecting in two intersecting mirror lines.
problem
Favourite
Who is the fairest of them all ?
Age
11 to 14
Challenge level
Explore the effect of combining enlargements.
problem
Favourite
Fit for photocopying
Age
14 to 16
Challenge level
Explore the relationships between different paper sizes.
Image
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.