UNIT CONVERSION
Common Imperial
Length
Imperial and Metric
1 mile = 1760 yards
1 mile
1 mile = 5280 feet
1 yard 0.9144 m
1 foot 0.3048 m
1 yard = 3 feet
1 yard = 36 inches
1 foot = 12 inches
Mass
(Weight)
1 ton = 2000 pounds
1 pound = 16 ounces
Common
Abbreviations
mile = mi
yard = yd
1 inch
1.609 km
Metric
1 km = 1000 m
1 m = 100 cm
1 cm = 10 mm
2.54 cm
1 pound 0.454 kg
1 ounce 28.35 g
1 t = 1000 kg
1 kg = 1000 g
kilometre = km
ton = ton
feet = ' or ft
metre = m
centimetre = cm
millimetre = mm
inch = " or in
pound = lb
tonne (metric ton) = t
gram = g
ounce = oz
FORMULAE
(Put your calculator in Degree Mode)
• Right triangles
sin A =
cos A =
• The equation of a line:
y = mx + b
Ax + By + C = 0
y y1 = m ( x x1 )
opposite
hypotenuse
adjacent
hypotenuse
• The slope of a line:
y y2
rise
m=
=
=
x x2
run
B
c
a
tan A =
opposite
adjacent
y1
x1
Math Tiles Legend
C
b
A
Pythagorean Theorem
a2 + b2 = c2
+x2
–x2
+x
–x
distance = speed time
+1
Foundations of Mathematics and Pre-Calculus 10
–1
Data Page 1
GEOMETRIC FORMULAE
7
8
Key Legend
l = length
P = perimeter
w = width
C = circumference
b = base
A = area
h = height
SA = surface area
s = slant height
V = volume
6
r = radius
d = diameter
Geometric Figure
5
Rectangle
Perimeter
Area
P = 2l + 2w
or
A = lw
P = 2 (l + w )
4
Triangle
P = a+b+c
3
Circle
A=
bh
2
C= d
or
A = r2
NOTE: Use the value of programmed in your calculator
rather than the approximation of 3.14.
Inches
1
2
C=2 r
Data Page 2
Foundations of Mathematics and Pre-Calculus 10
Cylinder
Surface Area
20
Geometric Figure
Volume
Aside = 2 rh
18
Abase = r 2
h
V = (area of base ) h
17
r
•
19
Atop = r 2
16
SA = 2 r 2 + 2 rh
Sphere
or
V=
4 3
r
3
V=
1
3
( area of base ) h
V=
1
3
( area of base ) h
14
r
•
15
SA = 4 r 2
Cone
13
SA = d 2
h
11
Abase = r 2
s
12
Aside = rs
10
SA = r 2 + rs
r
Abase = b 2
s
9
SA = wh + wh + lw + lw + lh + lh
or
h
6
Rectangular Prism
7
SA = 2bs + b 2
b
b
1
bs ( for each triangle )
2
5
h
Atriangle =
8
Square-Based Pyramid
V = (area of base ) h
w
4
SA = 2 ( wh + lw + lh )
l
3
General Right Prism
V = ( area of base ) h
SA = the sum of the areas
of all the faces
V=
1
2
SA = the sum of the areas
of all the faces
1
3
( area of base )
cm
General Pyramid
h
NOTE: Use the value of programmed in your calculator rather than the
approximation of 3.14.
Foundations of Mathematics and Pre-Calculus 10
Data Page 3
ROUGH WORK SPACE
(No marks will be given for work done on this page.)
Data Page 4
Foundations of Mathematics and Pre-Calculus 10