Skills Practice
i) Find the area of each of the following trapeziums
a cm
h cm
>
13 cm
I
Fatblu
>
T
b cm
absh ①
f
Z
average
A 1t3 x5
=
Z
15 cm
a
n
1
sides
the
parallel
of
b
-
18
-
3 cm
x5
Z
=9x5
h
5 cm
=45cm3
a
7 cm
A= E x3
X
5 cm
3 cm
2
~
11 cm b
>
18x3
=x3
-
27cm
6.8 cm
3.5 cm
A 6-2 x3,5
=
>
2
7.2 cm
=
7 x 3.5
=24.5cm3
What you can and cannot do with surds…
3
4
5
=
=
15
7-5=2
6
+ 2
- 2
- 100 ÷ 4
=
v 9 × 4 =156
Multiplying/Dividing
Adding/Subtracting
10
6
x2
=
49 − 25 FEx
I 16 + 4 Fro
ii) Simplify the following surds
12
=
48
=
4 = 255
27
45
=
T6 5
200
=
353
=
19/5
8 FV 202
TooK
98
=
=
100
=
=
=
19V
=
7V
iii) Simplify the following expressions (adding surds and non-surds)
200 + 8
=
10 + 252
=
12V
3+2 7+8−3 7
12 + 48
=-
23
>
=
11-vF
453
+
65
6+ 5−2+4+3 5
=
2 +4 + 5
iv) Simplify the following expressions (multiplying surds, expanding brackets)
->
3× 3
=
1 3
2 3+4 3
=
-
--
2
3+2 2
ILL
=
16x4
=
4%
=
8x 3
=
24
cm-re
X
2 3 4 3−4
&5 x15 0x3
=
=
24-853
Example Problem
Exam Style
In the quadrilateral ABCD, the sides AB and CD are parallel.
The length of AB is 4 + 48 cm.
The length of CD is 10 − 12 cm.
The perpendicular distance between sides AB and CD is
Trapezium
D
aro's
Izz
27 cm.
Work out the area of the quadrilateral.
Give your answer in the form 𝑎 + 𝑏 3 cm, where 𝑎 and 𝑏 are integers.
calculations
before
suds
Simplify
b
A:
N
ETHtrdfE
(4 marks)
=
=
-
=
-
-
ler as
(7 + 3)x35
=215
+ 9
⑬x35
-
Z
-
10-Vz C
=
a
a 9
=
b 2)
=
19+2153)cm
3x3
Your Turn
57
E5t
In the quadrilateral EFGH, the sides EH and FG are parallel.
Exam Style
f
-For
e
The length of EH is 18 + 4 cm
The length of FG is 10 − 50 cm.
The perpendicular distance between sides EH and FG is
8 cm.
H
Work out the area of the quadrilateral.
Give your answer in the form 𝑎 2 + 𝑏 cm, where 𝑎 and 𝑏 are integers.
s
of
ofe
(4 marks)
Area
=
+4
x
20
Z
=
35+ 4
14-25
-
x
2V2
Z
-
-
(-22)2R
=
1142-4)cm
a 14 b
=
=
4