Mathematics Reference Sheets - FCIT

1 MathematicsReference SheetsCopyright Statement for this Assessment and Evaluation Services PublicationAuthorization for reproduction of this document is hereby granted to persons acting in an official capacity within theState System of Public Education as defined in Section (1), Florida Statutes. The copyright notice at thebottom of this page must be included in all AdministratorAssessment and Evaluation ServicesFlorida Department of EducationTurlington Building, Room 414325 West Gaines StreetTallahassee, Florida 32399-0400 Copyright 2000 State of FloridaDepartment of StateFCATFLORIDA COMPREHENSIVE ASSESSMENT TESTG rades 6-8 FCAT Mathematics Reference SheetKEYb = base d= diameterh = height r = radiusl = length A = areaw = width C = = Surface area V = volumeUse or 22/7 for AreaTriangle A = 1/2 bhRectangle A = lwTrapezoid A = 1/2 h (b 1 + b 2)

2 Parallelogram A = bhCircle A = r 2 CircumferenceC = d = 2 rIn a polygon, the sum of the measures ofthe interior angles is equal to 180(n - 2),where n represents the number of theorem: c2 = a2 + b2 VolumeTotal Surface AreaRight Circular CylinderV = r = 2 rh + 2 r 2 Rectangular SolidV = = 2(lw) + 2(hw) + 2(lh)Conversions1 yard = 3 feet = 36 inches1 mile = 1,760 yards = 5,280 feet1 acre = 43,560 square feet1 hour = 60 minutes1 minute = 60 seconds1 liter = 1000 milliliters = 1000 cubic centimeters1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters1 gram = 1000 milligrams1 kilogram = 1000 grams1 cup = 8 fluid ounces1 pint = 2 cups1 quart = 2 pints1 gallon = 4 quarts1 pound = 16 ounces1 ton = 2,000 poundsMetric numbers with four digits are represented without a comma ( , 9960 kilometers).

3 Formetric number greater than four digits, a space is used instead of a comma ( , 12 500 liters).Grades 9-10 FCAT Mathematics Reference SheetKEYb = base d= diameterh = height r = radiusl = length A = areaw = width C = circumferencel = slant height V = = Surface areaUse or 22/7 for AreaTriangle A = 1/2 bhRectangle A = lwTrapezoid A = 1/2 h (b 1 + b 2)Parallelogram A = bhCircle A = r 2 CircumferenceC = d = 2 rVolumeTotal Surface AreaRight Circular ConeV = 1/3 r = 1/2 (2 r)l + r 2 = rl + r 2 Square PyramidV = 1/3 = 4 (1/2 ll) + l 2 = 2ll + l 2 SphereV = 4/3 r = 4 r 2 Right Circular CylinderV = r = 2 rh + 2 r 2 Rectangular SolidV = = 2(lw) + 2(hw) + 2(lh)In the following formulas, n represents the number of a polygon, the sum of the measures of the interior angles is equal to 180(n - 2).

4 In a regular polygon, the measure of an interior angle is equal to [180(n - 2)] / 9-10 FCAT Mathematics Reference sheet Pythagorean theorem: c2 = a2 + b2 Distance between two pointsP1 (x1,y1) and P2 (x2,y2):y = m x + bSlope-intercept form of an equation of a line,where m = slope and b = the y-intercept:Midpoint between two pointsP1 (x1,y1) and P2 (x2,y2):d = rtDistance, rate, time formula, whered = distance, r = rate, t = = prtSimple interest formula, wherep = principal, r = rate, t = yard = 3 feet = 36 inches1 mile = 1,760 yards = 5,280 feet1 acre = 43,560 square feet1 hour = 60 minutes1 minute = 60 seconds1 liter = 1000 milliliters = 1000 cubic centimeters1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters1 gram = 1000 milligrams1 kilogram = 1000 grams1 cup = 8 fluid ounces1 pint = 2 cups1 quart = 2 pints1 gallon = 4 quarts1 pound = 16 ounces1 ton = 2,000 poundsMetric numbers with four digits are represented without a comma ( , 9960 kilometers).

5 Formetric number greater than four digits, a space is used instead of a comma ( , 12 500 liters).FCAT MATH Reference SHEETNameDIRECTIONS: Refer to your FCAT Mathematics Reference sheet to answer each of the a drawing of a the formula for the volume of a is the volume of asphere with a radius of 3 inches? the formula for the total surface area and thevolume of a right circular cylinder. Use the correct formula to findhow many ounces of broth could be held in a cylinder that has a radius of 2 inches and aheight of 7 inches if every cubic inch of volume contains one-fourth ounce of broth. Roundyour answer to the nearest whole number.

6 The circumference of a circle with a radius of 14 cm. Use the fractional value for pi ( ) that is given on your Reference is the sum of the interior angles of a regular pentagon? (5 sides)6. If the equation of a given line is y = 14x + 2, what is the slope of the line, and what is itsy-intercept? out the Pythagorean Theorem . The hypotenuse isrepresented by the letter and the two legs are represented by the letters and . Find the length of the hypotenuse of an isosceles righttriangle with legs of 5 units. Round your answer to the nearest hundredth or give the exactsquare root the formula for the distance between two points.

7 Usethis formula to find the distance between the points (-1, -1) and (3, 3). the formula for simple interest. Find the simple interest on a loan of$300 for 8 months at 6% annual the distance, rate, time formula. Using this formula, how long does ittake you to drive 780 miles at 65 mph?11. Write the formula for the midpoint between two the coordinates of the midpoint between the points (8, -3) and (-2. 11). many inches are in a yard? How many in 14 yard? are feet in a mile. What part of a mile is 1320 feet?14. How many cups are in one gallon?

8 15. How many ounces are in one quart?Find the area of each figure. 5 8 4 12 18 10 Find the volume of each 20. 9 5 6 512 4 Used by permission of Cheryl Greenfield, Gibbs High School, 2002.