C
F
What is the radius of the
largest circle than can be
drawn in a 345 triangle?
What is the area of the square?
8cm
Extensions
•
What about other
Pythagorean triples?
•
Using a dynamic geometry
package construct a triangle with
circles centred on each vertex so,
wherever the vertices are, the
circles all just touch each other.
E
20cm
B
What is the angle between the Find a Pythagorean triple with 2
lines y = 2 x and y = −3x ?
even sides and 1 odd side.
J
H
What is the area of this
parallelogram?
A runner runs from point A to
point B at an average speed of
4m/s.
He immediately turns round and
runs back to point A at an
average speed of 2m/s.
What is his average speed for
the whole journey?
Is there a general rule based
on the vectors AB and AD?
L
A
If 2ⁿ and 5ⁿ have the same
leading digit what is it?
What does 0.999… = ?
How many ways can you show
this?
K
I
(This requires a geometry
package such as Geogebra or Describe how this diagram
shows the roots of the quadratic
GSP)
equation
Construct a triangle with
circles centred a each point
such that the circles always
touch each other when the
points are moved.
3
3
9
(2, −9)
G
(It is helpful to have a graph
A grape is 80% water. 75% of plotter/graphical calculator for
this)
the water is removed – what
proportion of the raisin is now
What is the effect of varying c in
water?
the graph y = x2 + 4 x + c ?
D
What is the effect of varying b in
the graph y = x 2 + bx + 4 ?