PSSA MATHEMATICS
GRADE 4 REFERENCE
Formulas and conversions that you may need to work questions on this test are
2015
found below. You may refer back to this page at any time during the mathematics test. Grade 4
Standard Conversions
1 yard (yd) = 3 feet (ft)
1 foot = 12 inches (in.)
1 pound (lb) = 16 ounces (oz.)
1 gallon (gal) = 4 quarts (qt)
1 quart = 2 pints (pt)
1 pint = 2 cups (c)
Metric Conversions
1 kilometer (km) = 1,000 meters (m)
1 meter = 100 centimeters (cm)
Rectangle
w
l
Area = length × width
A=l×w
Perimeter = length + length + width + width
P=l+l+w+w
1 kilogram (kg) = 1,000 grams (g)
1 liter (L) = 1,000 milliliters (mL)
1
1
1
1
1
1
1
Time Conversions
year (yr) = 12 months (mo)
year = 52 weeks (wk)
year = 365 days
week = 7 days
day = 24 hours (hr)
hour = 60 minutes (min)
minute = 60 seconds (sec)
Copyright © 2015 by the Pennsylvania Department of Education.
PSSA MATHEMATICS
GRADE 5 REFERENCE
Formulas and conversions that you may need to work questions on this test are
2015
found below. You may refer back to this page at any time during the mathematics test. Grade 5
1
1
1
1
Standard Conversions
mile (mi) = 1,760 yards (yd)
mile = 5,280 feet (ft)
yard (yd) = 3 feet (ft)
foot = 12 inches (in.)
Rectangular Prism
h
1 ton (T) = 2,000 pounds (lb)
1 pound = 16 ounces (oz.)
1
1
1
1
gallon (gal) = 4 quarts (qt)
quart = 2 pints (pt)
pint = 2 cups (c)
cup = 8 fluid ounces (fl oz.)
Metric Conversions
1 kilometer (km) = 1,000 meters (m)
1 meter = 100 centimeters (cm)
1 centimeter = 10 millimeters (mm)
1 kilogram (kg) = 1,000 grams (g)
1 liter (L) = 1,000 milliliters (mL)
1
1
1
1
1
1
1
1
1
w
l
Volume = length × width × height
V=l×w×h
Volume = area of the base × height
V=B×h
Volume = area of the base × width
V=B×w
Volume = area of the base × length
V=B×l
Time Conversions
century = 10 decades
decade = 10 years (yr)
year (yr) = 12 months (mo)
year = 52 weeks (wk)
year = 365 days
week = 7 days
day = 24 hours (hr)
hour = 60 minutes (min)
minute = 60 seconds (sec)
Copyright © 2015 by the Pennsylvania Department of Education.
PSSA MATHEMATICS
GRADE 6 REFERENCE
Formulas that you may need to work questions on this test are found below.
You may refer back to this page at any time during the mathematics test.
2015
Grade 6
Trapezoid
Triangle
b1
h
h
b
A=
b2
1
bh
2
A=
1
h(b1 + b2)
2
Rectangular Prism
Rectangle
h
w
l
w
A = lw
l
SA = 2lw + 2lh + 2wh
V = lwh
Square
Cube
s
s
A = s2
Parallelogram
SA = 6s2
V= s•s•s
Triangular Prism
h
b
A = bh
b
c
h
a
w
SA = ah + aw + bw + cw
Copyright © 2015 by the Pennsylvania Department of Education.
PSSA MATHEMATICS
GRADE 7 REFERENCE
Formulas that you may need to work questions on this test are found below.
You may refer back to this page at any time during the mathematics test.
You may use calculator π or the number 3.14.
Simple Interest
2015
Grade 7
Parallelogram
I = Pr t
h
Circle
•
b
r
A = bh
A = πr
C = 2π r
Trapezoid
b1
2
h
Triangle
b2
1
A = h(b1 + b2)
2
h
b
A=
Rectangular Prism
1
bh
2
h
Square
w
l
s
V = lwh
SA = 2lw + 2lh + 2wh
A = s2
Polygonal Prism
Rectangle
w
w
l
A = lw
P = 2l + 2w
V = Bw, where B = area of the base
SA = Pw + 2B, where P = perimeter of base
Copyright © 2015 by the Pennsylvania Department of Education.
PSSA MATHEMATICS
GRADE 8 REFERENCE
Formulas that you may need to work questions on this test are found below.
You may refer back to this page at any time during the mathematics test.
You may use calculator π or the number 3.14.
2015
Grade 8
Cone
Exponential Properties
am • an = am + n
(am)n = am • n
h
am
= am – n
an
−
a1=
1
a
r
V=
1 2
πr h
3
Cylinder
Algebraic Equations
Slope:
Slope-Intercept Form:
m=
y2 – y1
x2 – x1
y = mx + b
h
r
V = π r 2h
Pythagorean Theorem
a
Sphere
c
r
b
a2 + b2 = c2
V=
4 3
πr
3
Copyright © 2015 by the Pennsylvania Department of Education.