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Mathematics 10-3 Formula Sheet, Lecture notes of Mathematics

University of Notre Dame Australia (UNDA)Mathematics

Mathematics 10-3 Formula Sheet. MEASUREMENT. S.I.UNITS TO S.I.UNITS ... formula: Temperature Conversions. Income Calculations.

Typology: Lecture notes

2021/2022

Uploaded on 07/05/2022

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Mathematics 10-3 Formula Sheet
MEASUREMENT
S.I. UNITS TO S.I. UNITS
IMPERIAL TO IMPERIAL CONVERSION & S.I. UNITS TO IMPERIAL UNITS
S.I. (Metric) Unit Conversions
Kilo
Hecto
Deca
Base
Deci
Centi
Milli
km
Hm
Dam
m
dm
cm
mm
kilometre
hectometre
decametre
metre
decimetre
centimetre
millimetre
kg
Hg
Dag
g
dg
cg
mg
kilogram
hectogram
decagram
gram
decigram
centigram
milligram
kL
HL
DaL
L
dL
cL
mL
kilolitre
hectoliter
decalitre
litre
decilitre
centilitre
millilitre
1000
100
10
1
1/10
1/100
1/1000
S.I. (Metric) Imperial Imperial to Metric
1000 g = 1 kg
1000 kg = 1 tonne (t)
1000 cm3 = 1 L
1000 mL = 1 L
1 lbs = 16 oz
2000 lbs = 1 ton (tn)
1 lb = 0.45 kg
1 oz = 28.3 g
1 tn = 0.9 t
2.2 lbs = 1 kg
Pay Period
Times a
Annually
Monthly
Semi-monthly
Weekly
Bi-weekly
5( 32)
9
CF=−
932
5
FC=+
When you are provided with the
Celsius temperature and asked for the
temperature in Fahrenheit use this
formula:
When you are provided with the
Fahrenheit temperature and asked for
the temperature in Celsius use this
formula:
Temperature Conversions
Income Calculations
When converting larger to smaller units MULTIPLY
When converting smaller to larger units DIVIDE
pf2

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Mathematics 10-3 Formula Sheet

MEASUREMENT

S.I. UNITS TO S.I. UNITS

IMPERIAL TO IMPERIAL CONVERSION & S.I. UNITS TO IMPERIAL UNITS

S.I. (Metric) Unit Conversions

Kilo Hecto Deca Base Deci Centi Milli

km Hm Dam m dm cm mm

kilometre hectometre decametre metre decimetre centimetre millimetre

kg Hg Dag g dg cg mg

kilogram hectogram decagram gram decigram centigram milligram

kL HL DaL L dL cL mL

kilolitre hectoliter decalitre litre decilitre centilitre millilitre

S.I. (Metric) Imperial Imperial to Metric

1000 g = 1 kg

1000 kg = 1 tonne (t)

1000 cm

3 = 1 L

1000 mL = 1 L

1 lbs = 16 oz

2000 lbs = 1 ton (tn)

1 lb = 0.45 kg

1 oz = 28.3 g

1 tn = 0.9 t

2.2 lbs = 1 kg

Pay Period

of

Times a

Year

Annually 1

Monthly 12

Semi-monthly 24

Weekly 52

Bi-weekly 26

C = F −

F = C +

When you are provided with the

Celsius temperature and asked for the

temperature in Fahrenheit use this

formula:

When you are provided with the

Fahrenheit temperature and asked for

the temperature in Celsius use this

formula:

Temperature Conversions Income Calculations

When converting larger to smaller units MULTIPLY

When converting smaller to larger units DIVIDE

T RIGONOMETRY

Pythagorean Theorem

2 2 2 a + b = c

or

2 2 2 Leg + Leg = Hypotenuse

2-D SHAPES

3-D SHAPES

Surface Area: the combined area of all faces of an 3-D object. (units

2 )

Volume: the number of cubic units contained in a solid. (units

3 )

Area

2 A = π r

d r =

Circumference

C = π d

C = 2 π r

d = 2 r

diameter radius

Area

(^12)

A = π r

diameter

radius

Perimeter

P = π d + d

2 SA = 6 x

3 V = x

x

x

x

2 2 2

2( )

SA lw wh lh

SA lw wh lh

= + +

= + +

l

h

w

V = lwh

length

width

Area

A = l × w

Perimeter

P = 2 l + 2 w

hypotenuse

opposite

sin A = sin

opp A hyp

hypotenuse

adjacent

cos A = cos

adj A hyp

adjacent

opposite

tan A = tan

opp A adj

Trigonometric Ratios

a

b

c

C

B

A

2 SA = 2 π r + 2 π rh

2 V = π r h

r

h

Perimeter

P = add up all sides

  • don’t include height

Area

b h A

×

= base

h h

base