Here are the solutions to the "5 page" revision higher booklet that you got before you went off on exam leave. If you want to check how I got the answers, then look at the worked solutions. If you're still not clear about a question, then email solutions@freedomroad.org.uk
I cannot guarantee that these are correct, but I've tried my best! any comments, queries, complaints use the email address...
Good luck in your exams...
1.
a) 1 1/8
b) 16/21

2. a)
6q²
b)
2 p⁴


3.
a)
y=2
x=5

b)
y=1
x=3

c)
x=5
y=4


4
a)i)
x=7

ii)
x=7

b)i)
x=7

ii)
x = 9m

5)
a)
x=1+ root3 and 1-root3

b)
x=-(3/8)+ root(41/64) and -(3/8)-root(41/64)
c)
x=(3/5)+ root(29/25) and (3/5)-root(29/25)

6)
a)
(5xy-10)(5xy+10)

b)
=9(3p-2q)(3p+2q)


7)
a)
5ab²
  2


b)3x³y
 20

c)
(x-1)
(2x-5)

d)
3(x-2)
2(x-3)

e)
(x+1)
(x-1)


f)
3(x+1)
(2x-1)


8)
The greater than or equal to symbol does not work in some versions of Netscape, so I've used the greater to symbol instead
a) x>root5 and x<-root5

-root15<x<root15

c)
x>10

d)
x<3


9)
a)
q = 7p+3
     p

b)
d = b + c - a
     (a-b)

c)
b = 100a
    M+100

d)
  Su  = v
(u-S)

e)
x =  a+b 
    2a+b

f)
The PI symbol is not supported by some versions of netscape, so I've used a 'mu'(µ) instead!
 Tg  = L
4µ²


10
a)
1/4
b)
3

c)
343/3


d)
100

e)
2


11
a)
So x=1.41 to 2dp (there are other solutions at 0 and -1.41)

b)There are no real solutions to this equation!
c)
So x=4.89 to 2dp (there is another solution at -4.22)

12)
a)
Coordinates are (2,1) and (0.4,-2.2)

13)
Coordinates are (1.14,3.27) and (-1.94,-2.87)


14)
£175000

15)
£750

16)
a)
100 b)
248.832
c)
t=12.6 (1 dp)


17)
Has anybody actually read this far? b) 25.7075


18)
a)
b)
17/24
c)21/40

19)
x = 24 cm

b) 33.94 cm


c) 5038.1cm³


21)
=3.538 cm

22)
a)
y= 7/3 x + 5

b)
d = 15.2 units

23)
A is (0,4)
B is (90,0)
C is (180,-4)


24)
a)
AC = 2b+a
BC = 2b
BE = b
AE = a+b

b)
AD is parallel to BC hence it is a trapezium

25) a)
AC = p + q
AE = 1/2p + 1/2q
BD = q-p
BE = 1/2q - 1/2p
b)
2(BE) = BD hence E is the midpoint


26)
a)
angle = 33.7^o

b)
3.7 m

27)
n = 3
K = 100
a) 1.5625
b) 10


28)

n = 2
K = 12
a) 2
b) 10000

29)
a)
7x-1
  6

b)
7x
20

c)
    7x      
(2x+1)(3x-2)


d)
     7      =
(2x-1)(x+4)


30)
a)
x=2

b)
x=3

c)
x=1
d)
x= 2 or 4

e)
x=-7/10


31)



32
a)
= 20.6^o
b)
= 18.5^o
c)
= 7.3^o