ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet
Imagine this graph is a road and you are driving from the bottom left hand (South West) corner to the top right hand (North East) corner. Describe how you would steer the car.
When would you be turning the steering wheel to the right?
When would you be turning the steering wheel […]
Find some sticks, they could be twigs, or matchsticks or cocktail sticks, or rolled paper sticks, or pasta like spaghetti broken into short lengths, but they must all be the same length.
Arrange 16 sticks into this pattern.
As an easy starter, can you remove 4 sticks and leave […]
The Great Pyramid at Giza in Egypt was built around 2500 BC. The pyramid has a square base ABCD with sides 232.6 metres long. The distance from each corner of the base to the apex E was originally 221.2 metres.
a. Draw 2 circles with equal radii, intersecting at C, so that each goes through the centre of the other.
b. Draw a third circle of the same radius with centre C.
c. Draw 4 more circles with centres on the circle centre A and passing through A.
There are some mistakes and some correct methods and correct answers.
Find the mistakes and write out the correct calculation using that method.
Explain how and why the methods that get the correct answers work.
How many squares can you make by joining four points on this grid?
Look for squares of different sizes and also tilted squares
Start with a 3 by 3 grid of nine dots. Can you find six squares?
Then go on to the 4 by 4 grid of sixteen dots.
What can you say […]
The diagram shows the graphs of five quadratic functions or parabolas.
How do the points where the graph cuts the x axis relate to the axis of symmetry of the graph and the solutions of the quadratic equation ?
Match the graphs in the diagram to the following descriptions and give reasons […]
For any triangle you can construct a line through one of the vertices parallel to the opposite edge.
Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.
Click here to download the ANGLE SUM worksheet.
Click here […]
For this activity you need lots of old newspapers, and some sticky tape.
Make 1 metre length sticks using newspaper.
Tightly roll 8 large sheets of newspaper, 4 and 4 placed as in the photograph, so that the length of the stick when the paper is […]
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