Formulas etc. for the national test in mathematics, year 9
PREFIXES
Symbol
Name
Power of 10
GEOMETRY
T
tera
G
giga
M
mega
k
kilo
h
hecto
d
deci
c
centi
m
milli
µ
micro
1012
109
106
103
102
10 –1
10 –2
10 –3
10 –6
Parallelogram
n
nano
10−9
h
area = b × h
b
Rhomb
d1 × d 2
2
d1 and d2 are diagonals
d1
area =
d2
b
Parallel trapezium area =
(
h a+b
)
h
2
a
b×h
2
sum of angle measures =
z
area =
Triangle
x
x + y + z = 180°
Pythagoras’
theorem
2
2
a +b = c
2
y
b
c
a
b
area = π × r 2
Circle
h
circumference =
π ×d = 2×π ×r
d
r
v
×2×π ×r
360°
v
b× r
2
area =
×π ×r =
360°
2
arc length b =
Circle sector
Please turn over!
© Skolverket
januari 2017
Cuboid
h
volume = B × h
B
Prism
volume = B × h
h
B
Cylinder
Right circular cylinder
volume = B × h
h
B
lateral area = 2 × π × r × h
Pyramid
volume =
B×h
3
r
h
B
Right circular cone
B×h
volume =
3
lateral area = π × r × s
Cone
Sphere
B
4 × π × r3
3
area = 4 × π × r 2
volume =
volume scale factor = (length scale factor)3
Equation of a line
y = kx + m
if y = kx then y is proportional to x
EXPONENTS
For all number x and y and positive numbers a
a x × a y = a x+ y
a– x =
© Skolverket
januari 2017
1
ax
ax
= a x– y
y
a
a0 = 1
rr
r
area scale factor = (length scale factor)2
Scale
FUNCTIONS
h
(a )
x
y
= a xy
s