Worksheet 12: Revision Term 1
Grade 11 Mathematics
1.
Simplify the following expressions, leave answers with positive exponents:
(
(
a)
2.
)
)
c)
(
e)
( ) ( )
√
b)
)
(
√ √ √
d)
(
)
)
Simplify the following expressions without using a calculator, leave answers in surd form
where necessary:
a)
c)
e)
3.
√
√
√
√
√
√
√
(
)
(
)
Solve the following equations for
(
a)
)
(
)
c)
(
)
b)
(by completing the square)
(
i)
)
(
(
k)
m)
s)
to two decimal places where necessary:
g)
h)
r)
√
e)
f)
p)
√√
(by completing the square)
d)
n)
√
d)
√
√
√
b)
√
)
)
j)
l)
(by completing the square)
(
)
o)
q)
(by completing the square)
t)
(
)
(
)
4.
5.
6.
7.
Solve for
and
in each of these simultaneous equations:
a)
and
b)
and
c)
and
d)
and
e)
and
( )
Given:
a)
non-real
b)
rational
c)
integer
(
)(
)(
) , give the values of
that are:
Determine the nature of roots for each of these equations:
a)
b)
c)
d)
e)
f)
g)
h)
Say whether these patterns are linear or quadratic, give the formula T n in terms on n for each
pattern and find the 14th term:
8.
a)
-6
-12
-18
-24…
b)
c)
-2
2
10
22…
d)
e)
-17
-12
-5
4…
A straight line
1
passes through the circle
7
10
10…
. Determine the point (or
points) where the straight line passes through the circle.
9.
In her first year of working, Irene saves R100. In her second year of working she saves R200.
In the third year she saves R400 and the year after that she saves R700.
a)
How much will Irene have saved in total after 7 years?
b)
What amount will she save in the 21st year?