Grade A Questions

Practice Questions to get a grade A (module 9 stuff).

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  • Created on: 08-06-11 15:37
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Module 9 Practice Paper ­ no calculator
Make
d t
he
subj
ect
of
t
he
for
mul
a
S
=xd²
2
Usi
ng
indi
ces,
wri
te
392
as
a pr
oduct
of
pr
ime
fact
ors.
Si
mpl
if
y t
he
fol
lo wi
ng
expr
essi
ons,
wri
ti
ng
your
answer
s as a s i
ngl
e power
of
x.
a) x3 b) x5 c) (x3x7)
x7
a
Fi
nd
the
val
ue
of
a i
n t
he
equat
ion
3 = 27
a)
Compl
ete
thi
s
tabl
e of
val
ues
for
y
= x³
3x
­ 2.
x 3 2 1 0 1 2 3
y 4 16
b)
Draw t
he
graph
of
y =

3x
­ 2
for
val
ues
of
x f
rom
­3
to
3.
c)
i)
On
the same axes,
dr
aw t
he
li
ne
y =
20 ­
15x.
i
i)
Hence
solve
the
equati
on

3x
­ 2
= 20
­ 15x.
The
diagr
am
shows
a cone.
Thed
i
ameter
do f
t
heb
aseo
f
t
hec
one
wasme
asur
edt
ob e7
2.
2cm,
corr
ect
to
1
deci
mal
pl
ace.
Thev
ol
ume
Vw asf
ou ndt
ob
e0
.
33m³
t
o t
he
near
est
0.
01m³.
Th ef
or
mu l
af
or
th eh
ei
ght
hof
t
hec
one
i
s:
h
=1 2V

Cal
cul
ate
the
maxi
mum
possi
ble
hei
ght
h
of
the
cone.
0
a)
Wor
k out
:
i)
16 ii)
1
2
3
b)
Fact
ori
se
compl
etel
y
8x
+ 12x²
.
c)
Mul
ti
ply
out
(2x
­ 3)
(3x
+ 4)
d)
Fact
ori
se
4a²
49
e)
Fact
ori
se

+
5x +
6

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Thema
ss m of
abal
l
bear
ingi
sdir
ec t
l
yp r
opor
ti
onal
t
ot
hec
ubeo
f
i
ts
di
amet
er
d.
When
d =
5mm the
mass m i
s 2g.
a)
Fi
nd
a f
ormul
a f
or
m i
n t
erms
of
d.
b)
Cal
cul
ate
the
diamet
er
of
a bal
l
bear
ing
w hose
mass
is
16g.…read more

Page 3

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Rear
range
the
for
mul
a
a =


2s
Az
ebraa
t
az ooi
ssedat
edf
or
ami no r
vet
eri
narye
xami
n at
ion.…read more

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Draw t
he
graph
of
y agai
nst
t.
t/
16
d)
Use
your
gr
aph
to
sol
ve
the
equat
ion
6
× 4 =
3
Thet
abl
es
howsi
nf
ormat
iona
bout
t
hea
geso
f
t
he1
00me
mber
so
f
abowl
ing
cl
ub.…read more

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