These tasks, which are part of our Jaunts into Geometry Feature, offer geometrical contexts in which to explore the three aims of the primary National Curriculum for mathematics.
problem
Favourite
Inside Triangles
Age
5 to 7
Challenge level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Favourite
Jig Shapes
Age
5 to 11
Challenge level
Can you each work out what shape you have part of on your card? What will the rest of it look like?
problem
Favourite
Poly Plug Rectangles
Age
5 to 11
Challenge level
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
problem
Favourite
Seeing Squares
Age
5 to 11
Challenge level
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
problem
Favourite
Square Corners
Age
7 to 11
Challenge level
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
problem
Favourite
Nine-Pin Triangles
Age
7 to 11
Challenge level
How many different triangles can you make on a circular pegboard that has nine pegs?
problem
Favourite
Brush Loads
Age
7 to 11
Challenge level
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
problem
Favourite
Stringy Quads
Age
7 to 11
Challenge level
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!