Download Geometry (Part 2)

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
page
19
page
20
page
21
page
22
page
23
page
24
page
25
page
26
page
27
page
28
page
29
page
30
page
31
page
32
page
33
page
34
page
35
page
36
page
37
page
38
page
39
page
40
page
41
page
42
page
43
Document related concepts
no text concepts found
Transcript 
EVERYTHING YOU NEED TO KNOW
TO GET A GRADE C
GEOMETRY & MEASURES
(FOUNDATION)
Part 2
2 2
1
2 1
1
8 cubes
8 more cubes required to fill box
Volume is the space inside the box (number of centimetre cubes that will fit in)
8 cubes + 8 cubes = 16 cubes
16
3
Height
Length
Volume = length x width x height
48 = length x width x height
8 x 2
x 3
8 x 74 2 x 74 3 x 108
324
148
592
Round the answers
600
150
330
Width
4cm
5cm
Volume of a cuboid = length x width x height
Volume of cuboid = 5 x 3 x 4
Volume of cube= 2 x 2 x 2
= 7.5
7
Volume of a cuboid = length x width x height
Volume of cuboid = 30 x 12 x 4
1440
Amount of paint = 10 x 30
93
3
LEARN
LEARN
Volume of cylinder = area of circle x length
Volume of cylinder = 3.14 x 3 x 3 x 10
Amount of glasses filled = 14.2
14
Cuboid A
Cuboid B
Volume of cuboid A = length x width x height
Volume of cuboid A = 20 x 20 x 15
d x 20 x 20 = 7000
400d = 7000
d = 17.5
17.5
radius
0.5cm
Volume of cylinder = area of circle x length
x
x
x
6 RIGHT 6 RIGHT
6 RIGHT 6 RIGHT
6
DOWN
6
DOWN
6
DOWN
6
DOWN
(-66 )
180° either clockwise or anticlockwise from
the origin (0,0)
2 RIGHT
2 RIGHT
2 RIGHT
4
DOWN
4
4
DOWN
DOWN
(because it’s half the size)
-2
-1
Rotation 180° either clockwise or
anticlockwise from the origin (0,0)
2 RIGHT
2 RIGHT
2 RIGHT
2 RIGHT
3 DOWN
3 DOWN
3 DOWN
3 DOWN
2 RIGHT
B
A
3 DOWN
C
y=1
Identical
B
F
A
2
(because shape A is twice the size of shape C)
Three times
bigger
= 2.4
= 2.5
The scale factor of enlargement for
both respective sides must be equal.
PYTHAGORAS’
THEOREM
Hypotenuse
6.5
Angles in a triangle add
up to 180°
90°
100°
A
Pythagoras’ Theorem only works in right
angles triangles.
PYTHAGORAS’
THEOREM
3.2
8.7m
45°
Angles in a triangle add
up to 180°
1m
45° angle forms an isosceles triangle. Both base length
and height length of the triangle are the same.
Height of pole = 8.7 + 1.45
10.15
5
PYTHAGORAS’
THEOREM
Not the hypotenuse
(a)
1.8
4.4
(Any value from 4.3 – 4.8)
£1
100p
So £10
1000p
= 500
Weight of all the 2p coins = 500 x 7 = 3500g
3.5
1kg = 1000g
72 74 76 78
=2
76
310 330 350 370 390
320 340 360 380
= 10
340
82 86
84 88
=2
87
cm or mm
litres
tonnes
LEARN
Distance = Speed x Time
Distance = 80 x 1.75
1.75hours
140
2h 15mins
135mins
Stage 2 Distance = 190 - 140 = 50km
Stage 2 Time = 2h 15mins – 1h 45mins = 30mins =
0.5hour
÷0.5 is the same as multiplying by 2
100
LEARN
45
3h 30mins
57.1
3.5hours
LEARN
LEARN
0.2 hour = 0.2 of 60mins
x
Time = 5.2 hours
÷
= 12mins
5
12
N
NW
C
x
÷
2
055
Must be written as 3 figures
Scale: 1 cm represents 10 kilometres
A
B
37°
110
°
6.2 cm
6.2 cm x 5
31
180
°
290
°
C
26°
180°
115°
026
295
295°
L
equidistant from two fixed points.
M
6.5cm
43°
Circumference is the full length around a circle
Diameter
Circumference = π x diameter
Circumference = 3.14 x 8
Circumference = 25.12cm
Length of arc (semi-circle) = 25.12 ÷ 2 = 12.56cm
Perimeter = 12.56cm + 8cm = 20.56cm (2 d.p.)
(Total 3 marks)
Volume of prism = area of cross-section x length
Volume of prism = area of triangle x length
base x height
x length
Volume of prism =
2
4x3
x 20
Volume of prism =
2
Volume of prism = 6 x 20
120
Related documents