Questions and Answers on Practical Work in Mathematics

Mathematics
Question 1
a)

Solution

b) (5.5 3.5)3
= (2)3
= 8

c)

=

d)

=

Question 2
a)
If 2x2y = 5, then 4x4y2 =?
Solution
5 = 2x2y
4x4y2 = (2x2y)2
Therefore 4x4y2 = 52
= 4x4y2 = 25

b) 11% of 3500 is how much?
Solution

c)

Question 3
Expand and simplify
a)

Solution

b)

Solution

c)

Solution

d)

Solution

Question 4.
If the GNP of a certain country in 2000 was 8 billion dollars, write down an expression for the GNP 6 years later if it increases by 5% each year.

let x = 8 billion dollars
Then % increase per year = 5% of x
Therefore total increase = (5% of x) multiply by 6
GNP in 6 years = x + (5% of x) 6

= x + (x) 6

Question 5
Expand and simplify to a single fraction
a)

Solution

b)

Solution

c)

Solution

Question 6.
a) Solve the following.

=

=

=

b) Solve the following inequality.

=

=

c) Solve the following system of equations.

Solution

Let be equation I

And be equation II

Then in equation II;
Solving equation I using equation II;

=

=

=

=

Answer

5510
y
-=-

55
y
=

1
y
=

5
2
5
2
5
2
–
´
–
´
–

25
8
–

1917
1917
22
22
–
+

524288131072
524288131072
393216
655360
3
5
–
=
+
=
=

11
3500
100
38500
100
385
of
=
=
=

22
1312?
-=

169144
25
5
=-
=
=

5(32)2(3)
aabab
-+–

5(32)2(3)
53223
53223
aabab
aabab
aaabb
b
-+–
=—+
=—+
=

22
(2)(2)2(2)(2)
xxxx
++–+-

22
22
222
222
(2)(2)2(2)(2)
(44)(44)(24)(2)
(44442448)
(24444844)
16
xxxx
xxxxxx
xxxxxxx
xxxxxxx
++–+-
=+++-+-+-
=++-++-+-+
=+-++–+++
=

2
2
(1)(1)
xx
-+

2
2
22
23234
43322
42
(1)(1)
(12)(12)
(122422)
(224221)
(41)
xx
xxxx
xxxxxxxx
xxxxxxxx
xxx
-+
=-+++
=++—+++
=+-++–++
=+-+

3
(2)
a
–

3
322
32
(2)
(42848)
(6128)
a
aaaaa
aaa
–
=++—
=+–

1
20
of

11
23
–

11
23
32
6
1
6
–
–
=
=

32
4
77
7
´

63
51020
aaa
-+

63
51020
2423
20
25
20
1
1
4
aaa
aaa
a
a
-+
-+
=
=
=

11
23
11
46
–
–

32
6
32
12
–
=
–

1
6
1
12
=

112
61
2
=´
=

13
123
xx
=
-+

23
3
1
x
x
+
==
–

233(1)
xx
=+=-

2333
xx
+=-

34349
2401
16807
2401
7
´
=
=
=

2333
xx
-=–

6
x
-=-

6
x
=

1
0
3
x
x
–
£
+

1
(3)0(3)
3
x
xx
x
–
æö
+£+
ç÷
+
èø

10
x
-£

1
x
=

25
25
xy
xy
-=
+=

25
xy
-=

25
xy
+=

÷
ø
ö
ç
è
æ
–
÷
ø
ö
ç
è
æ
–
÷
ø
ö
ç
è
æ
–
5
2
5
2
5
2

52
xy
=-

2(52)5
yy
–=

(104)5
yy
–=

1055
y
-=