# Grade A Questions

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

:)

- Created by: Zoeeee
- Created on: 08-06-11 15:37

First 501 words of the document:

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 =

x³

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

x³

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

d²

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

x²

+

5x +

6

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