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HSC Mathematics Standard 2 > Measurement > Flashcards

Measurement Flashcards

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
Q

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

A

V = Lxwxh/3

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26
Q

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

A

V = area x h

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27
Q

What is the formula for calculating the volume of a square-based pyramid?

A

V = 1/3 x L2 h

28
Q

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

A

V = πr2 h/3

29
Q

How do you convert from mg to g and vice versa?

A

mg to g = /1000

g to mg = x1000

30
Q

How do you convert from g to kg and vice versa?

A

g to kg = /1000

kg to g = x1000

31
Q

How do you convert from kg to t and vice versa?

A

kg to t = x1000

t to kg = /1000

32
Q

How do you convert from mL to L and vice versa?

A

mL to L = /1000

L to mL = x1000

33
Q

How do you convert from L to KL and vice versa?

A

L to KL = /1000

KL to L = x1000

34
Q

How do you convert from KL to ML and vice versa?

A

KL to ML = /1000

ML to KL = x1000

35
Q

How do you calculate the running cost of an appliance?

A

The running cost is calculated by multiplying the energy consumption by the electric charge.

36
Q

How do you convert from watt to milliwatt and vice versa?

A

watt to milliwatt = /1000

milliwatt to watt = x1000

37
Q

Finish the sentence…

Scale of a drawing = ? : ?

A

Scale of a drawing = Drawing length:Actual length

38
Q

When referring to building plans what is an elevation?

A

An elevation is a view of an object from one side, such as a front elevation or side elevation.

39
Q

What floor plan symbol is this represent?

A

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
Q

What floor plan symbol is this?

A

The floor plan symbol is a shower.

41
Q

What floor plan symbol is this?

A

The floor plan symbol is a window – glass window in a solid wall.

42
Q

What floor plan symbol is this?

A

The floor plan symbol is a toilet - located on a wall.

43
Q

What floor plan symbol is this?

A

The floor plan symbol is a kitchen sink – two-compartment kitchen sink.

44
Q

What floor plan symbol is this?

A

The floor plan symbol is a Bathtub – bathtub showing location of drain.

45
Q

How do you calculate the perimeter of land?

A

To calculate the perimeter of land, multiply the length on the aerial photograph by the scale.

46
Q

Finish the sentence…

“Alternate angles on parallel lines are ? “

A

Alternate angles on parallel lines are equal.

47
Q

Finish the sentence…

“Two angles are complementary when they add up to ? “

A

Two angles are complementary when they add up 90°.

48
Q

Finish the sentence…

“Two angles are supplementary when they add up to ? “

A

Two angles are supplementary when they add up to 180°.

49
Q

What is a true bearing?

A

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
Q

What is a compass bearing?

A

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
Q

What is the true bearing and compass bearing?

A

True bearing = 170°T

Compass bearing = S10°E

52
Q

What is the formula for Pythagoras’ theorem?

A

a2 + b2 = c2

53
Q

What trigonometric rule would you use to find a side given 2 sides and their included angle?

A

Cosine rule

54
Q

What trigonometric rule would you use to find an angle given 3 sides?

A

Cosine rule

55
Q

What trigonometric rule would you use to find a side given 2 angles and 1 side?

A

Sine rule

56
Q

What trigonometric rule would you use to find an angle given 2 sides and 1 non-included angle?

A

Sine rule

57
Q

How do you calculate the area of a non-right angle triangle?

A

A = 1/2abSinC

58
Q

Finish the sentence…

“When the angle θ is acute, all trigonometric ratios (sin, cos & tan) are ?”

A

When the angle θ is acute, all trigonometric ratios (sin, cos & tan) are positive.

59
Q

Finish the sentence…

“When the angle θ is obtuse, the sin ratio is ?** and cos & tan ratios are **?”

A

When the angle θ is obtuse, the sin ratio is positive and cos & tan ratios are negative.

60
Q

How do you calculate an obtuse angle with a negative?

A

To find an obtuse angle with a negative, add it to 180°.

61
Q

How do you calculate an obtuse angle with a positive?

A

To find an obtuse angle with a positive, subtract it from 180°.

62
Q

What is θ if θ is obtuse?

Q: Tanθ = -1.4285

A

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
Q

What is θ if θ is obtuse?

Q: Sinθ = 0.7890

A

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
Q

What is A if A is acute?

Q: TanA = 0.8042

A

TanA = 0.8042

A = Tan-1 (0.8042)

A = 38° 48’

65
Q

What is the formula used to calculate Absolute Error?

A

Absolute Error = 1/2 x precision

66
Q

What is the formula used to calculate Percentage Error?

A

Absolute error/measurement × 100

67
Q

When finding the limits of accuracy how do you calculate the upper bound and lower bound?

A

Upper bound = Measurement + Absolute error

Lower bound = Measurement − Absolute error

HSC Mathematics Standard 2 (5 decks)

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