New Jersey Assessment of Skills and Knowledge
Grade 8
MATHEMATICS REFERENCE SHEET
Use the information below to answer questions on the
Mathematics section of the Grade Eight Assessment of Skills and Knowledge (NJ ASK 8)
The sum of the measures of the interior angles of any n-sided polygon = (n – 2)180°
Distance = rate × time
Simple Interest Formula A = p + prt
Compound Interest Formula A = p(1 + r)t
A = amount after t years; p = principal; r = annual interest rate; t = number of years
The number of combinations of r objects you can choose from a set of n objects is
2
2
c
a
2
c = a + b
Triangle
r
d
Volume =
l
Trapezoid
b1
1
Area = –h(b
1 + b2)
2
h
r 2h
h
r
b2
Volume =
4
3
r
Cylinder
Sphere
Surface Area =
Cone
1
–
3
Perimeter = 2l + 2w
b
Circle
Circumference = 2 r
= d
w
Area = lw
h
Area = bh
b
Area = r 2
Rectangle
22
3.14 or —
7
Parallelogram
h
1
Area = –bh
2
(n – r)!
Use the following equivalents
for your calculations:
b
(n – r)!r!
n!
The number of permutations of size r taken from n objects is
Pythagorean
Formula
n!
3
Volume =
r
r
r 2h
h
Surface Area =
2 rh + 2 r 2
2
r
Rectangular Prism
Pyramid
Volume= lwh
1
Volume = –lwh
3
h
h
Surface Area=
2lw + 2wh + 2lh
w
l
w
l
(OVER)
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USE THE FOLLOWING EQUIVALENTS FOR YOUR CALCULATIONS
60 seconds
60 minutes
24 hours
7 days
12 months
365 days
=
=
=
=
=
=
1 minute
1 hour
1 day
1 week
1 year
1 year
8 fluid ounces
2 cups
2 pints
4 quarts
=
=
=
=
1 cup
1 pint
1 quart
1 gallon
12 inches =
3 feet =
36 inches =
5,280 feet =
1,760 yards =
1 foot
1 yard
1 yard
1 mile
1 mile
10 millimeters
100 centimeters
10 decimeters
1000 meters
=
=
=
=
1 centimeter
1 meter
1 meter
1 kilometer
16 ounces = 1 pound
2,000 pounds = 1 ton
1000 milligrams
100 centigrams
10 grams
1000 grams
1000 milliliters (mL) = 1 liter (L)
=
=
=
=
1 gram
1 gram
1 dekagram
1 kilogram
(OVER)
4
5
3
5
4
6
7
2
3
8
9
10
1
1
2
centimeters
11
12
13
inches
14
15