ALGRBRAIC FRACTIONS - PAST PAPER QUESTIONS
1
2
+
1.
Express as a single fraction in its simplest form:
2
+5
2
2
4
−
2.
a)
Factorise:
1
2
2
4
−
b)
Hence simplify:
2
6+3
3
4
+
3.
Simplify:
3
(+1)
2
2
− 4
4.
a)
Factorise:
1
2
2
− 4
b)
Hence simplify:
2
3+6
2
( + 4)
5.
Simplify:
3
2
− − 20
6
3
×
6.
Simplify:
2
2
3
3
5
+
≠ −2, ≠ 1 as a fraction in its simplest form.
7.
Express
3
+ 2
− 1
+
, ≠ 0, ≠ 0
8.
Express as a single fraction
2
3 − 15
9.
Simplify:
2
2
( − 5)
3
4
−
≠ 0, ≠ −1 as a single fraction in its simplest form.
10.
Express
3
+ 1
2
3
×
11.
Express
as a fraction in its simplest form.
2
2
2
4
+
≠ 1, ≠ −2 as a single fraction in its simplest form.
12.
Express
3
− 1
+ 2
2
3
−
≠ 0, ≠ −4 as a single fraction in its simplest form.
13.
Express
3
( + 4)
2
(2 + 5)
14.
Simplify:
1
(2 − 1)(2 + 5)
2
5
÷
15.
Express
as a fraction in its simplest form.
3
8
2
3
1
−
≠ −1, ≠ 2 as a single fraction in its simplest form.
16.
Express
3
( + 1)
( − 2)
3
×
17.
Express
as a fraction in its simplest form.
2
2
4
3
+
≠ −3, ≠ 0 as a single fraction in its simplest form.
18.
Express
3
( + 3)