Revision Area

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E3 Revision
Revision Area
Revision Weight and Volume
Revision Scale Drawings Triangles
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Revision Triangular and square numbers
Revision Patterns
Revision Fractions and s and Ratios
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Problem
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Only 5 a square metre!
How much for this one?
?
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Problem
1m
1m
1 square metre
6 m
6 square metres
6 square metres
3 m
6 square metres
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3 rows of 6 squares
3 x 6
18 square metres
18 x 5 90
How much for 18 square metres?
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Area of a rectangle
6
6 m
length
3
3 m
breadth
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6
x 3
18 m²
Area
length
x breadth
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Example 1
Area length x breadth
A l x b
11 cm
A 11 x 6
6 cm
A 66 cm²
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Find the area of the rectangle
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Area of a right-angled triangle
4 cm
7 cm
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Area of rectangle
l x b
28 cm²
7 x 4
Area of triangle
½ x Area of rectangle
½ x 28
14 cm²
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Example 1
Area ?½ x base x height
A? ½ x b x h
A? ½ x 15 x 10
10 cm
A? 75 cm²
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15 cm
Find the area of the triangle
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Composite shapes
10 cm
6 cm
?
3 cm
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Composite shapes
10 cm
6 cm
(1)
6 cm
(2)
?
3 cm
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Area (1)
l x b
60 cm²
10 x 6
Area (2)
½ x b x h
½ x 3 x 6
9 cm²
Area of shape
(1) (2)
69 cm²
60 9
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Example 1
l x b
Area (1)
15 x 8
120 cm²
?
8cm
(1)
Area (2) l x b
9 x 3
27 cm²
(2)
(1) (2)
Area of shape
120 27
9cm
147 cm²
Find the area of the shape
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Example 2
l x b
Area (1)
20 x 12
240 cm²
Area (2) l x b
10 x 6
(2)
60 cm²
(1) (2)
Area of shape
240 -60
(1)
180 cm²
Find the area of the shape
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A short cut !
height
Area of rectangle
breadth
length
6
x 4
x 3
Volume
72 cm³
Volume
length
x breadth
x height
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Example 1
Working
Volume l x b x h
V 18 x 5 x 27
V 2430 cm³
27cm
5 cm
18 cm
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Example 2
Working
Volume l x b x h
How many of the small cubes fit into the big
cuboid.
V 3 x 3 x 3
V 9 cm³
3 cm
Volume l x b x h
V 10 x180 x 5
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V 9000 cm³
10 cm
5cm
180 cm
9000 9 1000 cubes
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Example 2
Working
Cube 2.5g
If each cube weighs 2.5g How much does the big
cuboid weigh in (i) Grams (ii) kg (ii)
Tonnes
Cuboid 1000 x2.5g
Weight 2500g
2.5g
2500 1000 2.5Kg
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2.5 1000 0.0025T
10 cm
5cm
18 cm
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Scaled Drawings
Definition
A scale of 1 cm 2m
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This simply means for every 1cm measured on
a drawing this represents 2m in real-life.
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Scaled Drawings
4x25 100cm
4cm
2cm
2x25 50cm
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The scale of this drawing is 1cm 25cm
What is the actual length and breadth of the TV ?
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Angle Properties
Revision of Level E
65o
Two angles making a straight line add to 180o
145o
Angles round a point Add up to 360o
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90o
146o
146o
3 angles in a triangle ALWAYS add up to 180o.
angles opposite each other at a cross are equal.
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Angle Properties
Revision of Level E
ALL angles in an equilateral triangle are 60o
Two angles in a isosceles Are equal
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h
is corresponding to d and must be 115o
b
is opposite to d and must be 115o
c
is must be 65o (straight line)
e
is alternate to c and must also be 65o
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Sum of Angles in a Triangle
Level E
Find the missing angles.
40o
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xo
xo
xo
Remember all the angles in a triangle add up to
180o
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Triangular and square Numbers
Level E
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12 22 32
2 3 4
Write the number that are triangular or square
for the list
4 25 15 49 21 17 36 28
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Complicated Linear Patterns using diagrams and
tables
Level E
nth terms
1st terms
D 2P 2
48 2xP 2 P 23
D 2x35 2 72
Find the nth term ( the rule) of the pattern
How many dots for pattern number 35?
What is the pattern number for 48 dots?
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Complicated Linear Patterns using diagrams and
tables
Level E
Find the nth term ( the rule) of the patterns
A 1 2 3 4 50
B 5 7 9 11
B 2A 3
103
A 42
Find A if B 87
x 1 2 3 4 100
y 6 11 16 21
y 5x 1
501
x 19
Find x if y 96
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Fractions Percentages Decimals ratio
Level E
Percentages Fraction Decimal
50 0.5


0.25
25
0.75
75
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Fractions Percentages Decimals ratio
Level E
Fill in the missing values.
Percentages Fraction Decimal
40


0.4
0.7
70
0.8
80
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Fractions Percentages Decimals ratio
Level E
2.
Mixed Number improper Decimal fraction
2.25

1.6
6.5
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Percentages
Level E
A TV shop has 15 off the normal price of TV. The
normal price was 300. Calculate the sale price.
10 300 10 30
5 30 2 15
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Sale price is 300 - 45 255
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Ratios
A way of comparing things
Level E

• A survey of people sitting their driving test
  found that in
• one week 96 people passed and 24 failed.
• Calculate the ratio of
• pass to fail
• The pass rate is defined as the amount of people
  that passed
• out of the total who sat their test.
• Find the pass rate as a
• Ratio (iii) Fraction (iv) Percentage
• Simplify were possible

96 24 4 1
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80
96 120 4 5