Graduation NumeracyReference Pages
GEOMETRY
l
w
ach
b
r
d
r
h•
s
b
h
b
l
h w
ac
bA
C
B
Geometric Figure Perimeter Area
Surface Area VolumeGeometric Solid
Rectangle
Triangle
Circle
Cylinder
Square-based Pyramid
Rectangular Prism
General Right Prism
General Right Pyramid
P = 2l + 2w
or
P = 2(l + w)
C = πd
or
C = 2πr
P = a + b + c
l = length
w = width
b = base
h = height
s = slant height
r = radius
d = diameter
P = perimeter
C = circumference
A = area
SA = surface area
V = volume
A = πr2
A = lw
A = bh2
Atop = πr2
12
Atriangle = bs
Abase = πr2
Abase = b2
SA = 2bs + b2
Aside = 2πrh
SA = 2πr2 + 2πrh
V = (area of base) × h
V = (area of base) × h
V = (area of base) × h SA = the sum of the areasof all the faces
SA = the sum of the areasof all the faces
V = × (area of base) × h 13
V = × (area of base) × h 13
SA = wh + wh + lw + lw + lh + lh
orSA = 2(wh + lw + lh)
Pythagorean Theorem
c2 = a2 + b2
KEY LEGEND
Graduation NumeracyReference Pages
RATES OF CHANGE
rise = y2 – y1
runx2 – x1
y-intercept (b)
x-axis
y-ax
is
12
10
8
6
4
00 5 10 15
Equation of a line:
y = mx + b
Ax + By + C = 0
y – y1 = m(x – x1)
Rate of change (slope) of a line:
Δy
Δx
y2 – y1
x2 – x1
==m =rise
run
speed = distance
time
Graduation NumeracyReference Pages
Conversions
Length
Mass
Area
Volume
1 km = 1000 m1 m = 100 cm1 cm = 10 mm
1 ha = 10 000 m2
1 t = 1000 kg1 kg = 1000 g1 g = 1 000 000 µg
1 L = 1000 cm3
1 L = 1000 mL
SymbolUnit
km
m
cm
mm
L
mL
ha
kg
g
µg
t
kilometre
metre
centimetre
millimetre
litre
millilitre
hectare
kilogram
gram
microgram
tonne (metric ton)
MEASUREMENTS