# GCSE Mathematics Sequences & Rearranging Formula -- Units 2&3

Once again the first sheet explains the topics, the second giving you questions to practice, and the third providing you with the answers.

I've included one extra question in the sequences section, if you can't work this out feel free to message me but I've been informed it's unlikely to turn up in tests.

Also you can use a calculator for these questions because they appear in both Units 2 and 3, however if possible try doing the first couple without.

I hope this helps, have fun revising (:

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• Created by: Charley
• Created on: 05-04-12 14:01

First 460 words of the document:

Maths Revision & Help Session
Changing the Subject of a Formula
For
mul
as
are
w r
it
ten
so
that
a
singl
e var
iabl
e
the
subject
of
the
for
mul
a
is
on
the
l
eft
hand
s i
de of
t
he equat
ion.
Ever
ythi
ng el
se
goes
o n
the
ri
ght
ha nd
side
of
the
equat
ion
.
You have t
o r
everse
the
operat
ion
used so +
changes t
o ­
changes
to
+
x changes
to ÷
÷ changes
to x
2
changes
to
3
changes
to
³
Expandi
ng changes
to Fact
ori
sing
Fact
ori
si
n g
changes t
o Expanding
e.g. Make x the subject: y = x + 3
The subject is written on the left
So we switch the sides to get x on the left
x+3=y
The inverse of addition is subtraction.
You need to subtract 3 from the left side. But, to
keep the equality true, we need to subtract 3
from the right side as well.
So subtract 3 from both sides.
x+3-3=y-3
Simplify
x = y - 3
Sequences (nth term)
The '
nth'
t
erm i
s a
for
mu l
a wi
th
'n'
in
it
whi
ch enabl
es you
to
fi
nd
any
ter
m of
a
sequence
w i
thout
havi
ng t
o go
up f
rom one
ter
m to
the
next.
'
n'
stands
for
t
he term number
so
to
fi
nd
the
50t
h t
erm
w e
w oul
d j
ust
subst
it
ute
50
in
t
he f
ormula
in
place of
'
n'.
t
h
e.g. 2,
5,
8,
11,
14...
3n ­ 1 t
he
11 t
erm
in
the
sequence
w oul
d be,
3 x 11 = 33
33 ­ 1 = 32

## Other pages in this set

### Page 2

Here's a taster:

Practice Questions:
Changi
ng
the
Subj
ect
of
a
For
mul
a:
1) Make
m t
he
subject
:A )
m ­ pq = u B) C )
67845
D)0.
0008463
E)
3.9999 F)
9568939 G )
0.039735
2) Make
y t
he
subj
ect
: A)
1368 B)
0.4782 C)
67845
D)0.
0008463
E)
3.9999 F)
9568939 G)

Here's a taster:

Changi
ng
the
Subj
ect
of
a
For
mul
a:
3) Make
m t
he
subj
ect
:A )
m = o + pq
B )
0.
4782 C)
67845
D)0.
0008463
E)
3.9999 F)
9568939 G)
0.039735
4) Make
y t
he
subj
ect
: A)
1368 B)
0.4782 C)
67845
D)0.
0008463
E)
3.9999 F)
9568939 G)
0.039735
Sequences:
3)Fi
nd
thent
h
t
erm: A)
2n
+ 4 B)
5n
1
C)
3n
+ 10 D)
2.5n