Formulae Sheet
A B
C
b a
c
Volume of sphere =
43
r3
Surface area of sphere = 4r2
Volume of cone =
13
r2 h
Curved surface area of cone = r l
In any triangle ABC
Area of triangle =
12
ab sin C
Sine rul
...
Formulae Sheet
A B
C
b a
c
Volume of sphere =
43
r3
Surface area of sphere = 4r2
Volume of cone =
13
r2 h
Curved surface area of cone = r l
In any triangle ABC
Area of triangle =
12
ab sin C
Sine rule
sin A
a
=
sinB
b
=
sinC
c
Cosine rule a2 = b2 + c2 – 2bc cos A
cos A =
bc
b c a
2
2 2 2
The Quadratic Equation
The solutions of ax2 + bx + c = 0, where a 0, are given by x =
a
b b ac
2
_ ( 2 _ 4 )
Trigonometric Identities
tan
θθ
cos
sin
sin2 + cos2 1
r
r
h
l3
Turn over
8360/2
Answer all questions in the spaces provided.
1 Match each graph with the correct equation.
You will not use all of the equations.
One has been done for you.
(4 marks)
Do not write
outside the
box
4
Circle, centre (0, 0), radius 2
Straight line, passing through (0, 0)
Straight line, gradient – 2
Straight line, passing through (2, 6)
Curve that has positive y values for
all x values
x
2
+ y2 = 4
x
2
+ y2 = 2
y = 1 2x
y = 3x 2
y = 2x
y = x
2
+ 1
y = 12 3x
y = x
2
14
8360/2
2 h is 60% of m.
2 (a) Write an equation connecting h and m.
Answer .......................................................................... (1 mark)
2 (b) Also, r is 75% of m.
Work out h as a percentage of r.
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
Answer .................................................................... % (2 marks)
3 A curve has gradient function
yx
dd
= 2x2 7
3 (a) Work out the gradient of the curve when x = 3
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
Answer ........................................................................ (2 marks)
3 (b) Work out the values of x for which the rate of change of y with respect to x is 1.
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
Answer ........................................................................ (3 marks)
Do not write
outside the
box5
Turn over
8360/2
4 The straight line shows a sketch of y = f(x) for the full domain of the function.
4 (a) State the domain of the function.
Answer .......................................................................... (1 mark)
4 (b) Work out the equation of the line.
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
….…………………………………………………………………………………………….
….…………………………………
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