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HSC Mathematics Standard 2 > Measurement > Flashcards

Measurement Flashcards

(67 cards)

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1
Q

How do you convert from km to m and vice versa?

A

Km to m = x1000

m to Km = /1000

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2
Q

How do you convert from m to cm and vice versa?

A

m to cm = x100

cm to m = /100

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3
Q

How do you convert from cm to mm and vice versa?

A

cm to mm = x10

mm to cm = /10

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4
Q

What is the formula for calculating the area of a triangle?

A

A = 1/2 b x h

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5
Q

What is the formula for calculating the area of a square/rectangle?

A

A = b x h

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6
Q

What is the formula for calculating the area of a trapezium?

A

A = h/2 (a + b)

(Trapezoidal rule)

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7
Q

What is the formula for calculating the area of a rhombus?

A

A = b x h (perpendicular height)

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8
Q

What is the formula for calculating the area of a kite?

A

A = 1/2 x h x L

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9
Q

What is the formula for calculating the area of a circle?

A

A = πr2

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10
Q

What is the formula for calculating the area of a semi-circle?

A

A = 1/2πr2

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11
Q

What is the formula for calculating the area of a sector or quadrant?

A

A = θ/360πr2

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12
Q

What is the formula for calculating the annulus?

A

A = A = π ( R2 - r2 )

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13
Q

What is the formula for calculating the surface area of a cone?

A

SA = πr<span>2 </span>+ πrL

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14
Q

What is the formula for calculating the surface area of a pyramid?

A

SA = 4(1/2 x hb) + hb

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15
Q

What is the formula for calculating the surface area of an open cylinder?

A

SA = 2πrh

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16
Q

What is the formula for calculating the surface area of a closed cylinder?

A

SA = 2πr2 + 2πrh

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17
Q

What is the formula for calculating the surface area of a sphere?

A

SA = 4πr2

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18
Q

What is the formula for calculating the surface area of an open hemisphere?

A

SA = 2πr2

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19
Q

What is the formula for calculating the surface area of a closed hemisphere?

A

SA = 3πr2

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20
Q

What is the formula for calculating the volume of a cube/rectangular prism?

A

V = area x h

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21
Q

What is the formula for calculating the volume of a triangular prism?

A

V = (1/2 b x h) x h

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22
Q

What is the formula for calculating the volume of a cylinder?

A

V = (πr2 ) x h

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23
Q

What is the formula for calculating the volume of a sphere?

A

V = 4/3 πr3

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24
Q

What is the formula for calculating the volume of a hemisphere?

A

V = 1/2 (4/3 πr3 )

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25
What is the formula for calculating the volume of a pyramid?
V = Lxwxh/3
26
What is the formula for calculating the volume of a trapezoidal prism?
V = area x h
27
What is the formula for calculating the volume of a square-based pyramid?
V = 1/3 x L2 h
28
What is the formula for calculating the volume of a cone?
V = πr2 h/3
29
How do you convert from mg to g and vice versa?
mg to g = /1000 g to mg = x1000
30
How do you convert from g to kg and vice versa?
g to kg = /1000 kg to g = x1000
31
How do you convert from kg to t and vice versa?
kg to t = x1000 t to kg = /1000
32
How do you convert from mL to L and vice versa?
mL to L = /1000 L to mL = x1000
33
How do you convert from L to KL and vice versa?
L to KL = /1000 KL to L = x1000
34
How do you convert from KL to ML and vice versa?
KL to ML = /1000 ML to KL = x1000
35
How do you calculate the running cost of an appliance?
The running cost is calculated by multiplying the energy consumption by the electric charge.
36
How do you convert from watt to milliwatt and vice versa?
watt to milliwatt = /1000 milliwatt to watt = x1000
37
Finish the sentence... Scale of a drawing = _?_ : _?_
Scale of a drawing = Drawing length:Actual length
38
When referring to building plans what is an elevation?
An elevation is a view of an object from one side, such as a front elevation or side elevation.
39
What floor plan symbol is this represent?
The floor plan symbol is a door. Door swing – indicates the direction the door open, in this image it is from left to right.
40
What floor plan symbol is this?
The floor plan symbol is a shower.
41
What floor plan symbol is this?
The floor plan symbol is a window – glass window in a solid wall.
42
What floor plan symbol is this?
The floor plan symbol is a toilet - located on a wall.
43
What floor plan symbol is this?
The floor plan symbol is a kitchen sink – two-compartment kitchen sink.
44
What floor plan symbol is this?
The floor plan symbol is a Bathtub – bathtub showing location of drain.
45
How do you calculate the perimeter of land?
To calculate the perimeter of land, multiply the length on the aerial photograph by the scale.
46
Finish the sentence... "Alternate angles on parallel lines are _?_ "
Alternate angles on parallel lines are ***equal***.
47
Finish the sentence... "Two angles are complementary when they add up to _?_ "
Two angles are complementary when they add up ***90°***.
48
Finish the sentence... "Two angles are supplementary when they add up to ? "
Two angles are supplementary when they add up to ***180°***.
49
What is a true bearing?
A true bearing is an angle measured clockwise from north to the required direction. It is always written with the letter 'T' after the degrees or minutes symbol. E.g a bearing of 45° is written as 45°T.
50
What is a compass bearing?
A compass bearing uses the four directions on the compass as well as those in between them. A compass bearing of S50°w, is found by measuring an angle of 50° from the south direction towards the west side.
51
What is the true bearing and compass bearing?
True bearing = 170°T Compass bearing = S10°E
52
What is the formula for Pythagoras’ theorem?
a2 + b2 = c2
53
What trigonometric rule would you use to find a side given 2 sides and their included angle?
Cosine rule
54
What trigonometric rule would you use to find an angle given 3 sides?
Cosine rule
55
What trigonometric rule would you use to find a side given 2 angles and 1 side?
Sine rule
56
What trigonometric rule would you use to find an angle given 2 sides and 1 non-included angle?
Sine rule
57
How do you calculate the area of a non-right angle triangle?
A = 1/2abSinC
58
Finish the sentence... "When the angle θ is acute, all trigonometric ratios (sin, cos & tan) are **_?_**"
When the angle θ is acute, all trigonometric ratios (sin, cos & tan) are ***positive***.
59
Finish the sentence... "When the angle θ is obtuse, the sin ratio is **_?**_ and cos & tan ratios are _**?_**"
When the angle θ is obtuse, the sin ratio is ***positive*** and cos & tan ratios are ***negative***.
60
How do you calculate an obtuse angle with a negative?
To find an obtuse angle with a negative, add it to 180°.
61
How do you calculate an obtuse angle with a positive?
To find an obtuse angle with a positive, subtract it from 180°.
62
What is θ if θ is obtuse? Q: Tanθ = -1.4285
Tanθ = -1.4285 θ = Tan-1 (-1.4285) θ = -55.0066 *(because its a negative add 180° )* θ = -55.0066 + 180° θ = 124° 60’
63
What is θ if θ is obtuse? Q: Sinθ = 0.7890
Sinθ = 0.7890 θ = Sin-1 (0.7890) θ = 52.0921 *(because its a positive subtract from 180°)* θ = 180° - 52.0921 θ = 127° 54’
64
What is A if A is acute? Q: TanA = 0.8042
TanA = 0.8042 A = Tan-1 (0.8042) A = 38° 48’
65
What is the formula used to calculate Absolute Error?
Absolute Error = 1/2 x precision
66
What is the formula used to calculate Percentage Error?
Absolute error/measurement × 100
67
When finding the limits of accuracy how do you calculate the upper bound and lower bound?
Upper bound = Measurement + Absolute error Lower bound = Measurement − Absolute error

HSC Mathematics Standard 2 (5 decks)

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