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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Ex. 0:
14
13
+
3
16
=
263
208
=
1
55
208
Ex. 1:
11
13
/
17
3
=
33
221
=
33
221
Ex. 2:
13
8
+
11
14
=
270
112
=
2
23
56
Ex. 3:
19
13
+
4
11
=
261
143
=
1
118
143
Ex. 4:
11
17
x
7
11
=
77
187
=
7
17
Ex. 5:
2
3
+
2
3
=
12
9
=
1
1
3
Ex. 6:
16
13
/
2
3
=
48
26
=
1
11
13
Ex. 7:
1
1
-
1
4
=
3
4
=
3
4
Ex. 8:
2
1
x
17
15
=
34
15
=
2
4
15
Ex. 9:
6
5
x
7
4
=
42
20
=
2
1
10

Changing the Subject of an Expression

Multiplying Expressions

Factorising Quadratic Expressions

Solving Linear Equations

Rationalising the Denominator

Solving Simultaneous (Linear) Equations

Solving Simultaneous Quadratic Equations

2 and 3 Part Ratios

Completing the Square

Sequences and Series

Polynomial Long Division

Factor and Remainder Theorem

Roots of a cubic

Differentials

Finding Turning Points

Pythagorus

Sine and Cosine Rules

Vectors