3 out of 3
Can you place the blocks so that you see the reflection in the picture?
1 out of 3
In how many ways can you fit all three pieces together to make shapes with line symmetry?
1 out of 3
How many different symmetrical shapes can you make by shading triangles or squares?
1 out of 3
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
2 out of 3
Each of the following shapes is made from arcs of a circle of radius r. What is the perimeter of a shape with 3, 4, 5 and n "nodes".
2 out of 3
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
1 out of 3
Ten squares form regular rings either with adjacent or opposite vertices touching. Calculate the inner and outer radii of the rings that surround the squares.
1 out of 3
Sketch the members of the family of graphs given by $y = a^3/(x^2+a^2)$ for $a=1, 2$ and $3$.
1 out of 3
Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
2 out of 3
A and B are two points on a circle centre O. Tangents at A and B cut at C. CO cuts the circle at D. What is the relationship between areas of ADBO, ABO and ACBO?
