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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) Copyright © 2010 by the New Jersey Department of Education. All rights reserved. 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