1-4 are NO calc, 5-11 are Calc
1.
Andr wants to get from point A located in the sea to point Y located on a straight stretch of
beach. P is the point on the beach nearest to A such that AP = 2 km and PY = 2 km. He does this
by swimming in a straight line

Paper Reference(s)
6663/01
Edexcel GCE
Core Mathematics C1
Advanced Subsidiary
Differentiation:
Tangents and Normals
Calculators may NOT be used for these questions.
Information for Candidates
A booklet Mathematical Formulae and Statistical Tables might b

1.
3
2
Consider the function f(x) = x 3x 9x + 10, x
(a)
.
Find the equation of the straight line passing through the maximum and minimum points
of the graph y = f(x).
(4)
(b)
Show that the point of inflexion of the graph y = f(x) lies on this straight li

1.
A packaging company makes boxes for chocolates. An example of a box is shown below. This
box is closed and the top and bottom of the box are identical regular hexagons of side x cm.
diagram not to scale
(a)
3 3x 2
2
2
Show that the area of each hexagon