Grades 6 8 FCAT 2.0 Mathematics Reference Sheet

Transcription

1 Grades FCAT. Mathematics Reference Sheet Rectangle A bh Parallelogram A bh Triangle Trapezoid Area A A bh Circle A π r h (b b ) b h w d r base height width diameter radius slant height KEY A B C P S.A. Use. or for π. Circumference C πd or C πr area area of base circumference volume perimeter of base surface area olume/capacity Total Surface Area Rectangular Prism Right Circular Cylinder bwh or Bh πr h or Bh Right Square Pyramid Bh Right Circular Cone πr h Bh or Sum of the measures of the interior angles of a polygon = (n ) Measure of an interior angle of a regular polygon = where: n represents the number of sides (n ) n Page FCAT. Mathematics Sample Questions Florida Department of Education

2 Grades FCAT. Mathematics Reference Sheet Pythagorean theorem Simple interest formula a c a b c I prt b Slope-intercept form of a linear equation y mx b where m slope and b y-intercept where p principal, r rate, t time Distance, rate, time formula d rt where d distance, r rate, t time Conversions within a System of Measure yard feet mile, yards, feet acre, square feet cup fluid ounces pint cups quart pints gallon quarts pound ounces ton, pounds inch. centimeters foot. meter mile. kilometers meter centimeters millimeters kilometer meters liter milliliters cubic centimeters gram milligrams kilogram grams minute seconds hour minutes year weeks days Conversions between Systems of Measure When converting from Customary to Metric, use these approximations. centimeter. inch meter. feet kilometer. mile cup. liter gallon. liters ounce. grams pound. kilogram When converting from Metric to Customary, use these approximations. liter. cups liter. gallon gram. ounce kilogram. pounds Temperature conversions between Celsius and Fahrenheit C ( F ). F ( C.) Page FCAT. Mathematics Sample Questions Florida Department of Education

3 SAMPLE FCAT. Mathematics Sample Questions Which number line correctly represents the solution to the inequality x <? A. B. C. D. The steps below show a method for finding the value of the following expression. (. +. ) +. Step (. +.) +. Step Step Step Step (. +.) (. +.). + (.). Which property is used to show that Step and Step are equivalent expressions? F. associative property G. commutative property H. distributive property I. identity property Page FCAT. Mathematics Sample Questions Florida Department of Education

4 FCAT. Mathematics Sample Questions SAMPLE After eating lunch, Samantha compared the number of calories in each food item she ate to the total number of calories in her lunch. The picture below shows an approximate portion of the total calories for each food item she ate. Samantha s Lunch Chicken Cole slaw French fries Juice Oatmeal cookie.. % Which of the following lists shows the numbers in order from least to greatest? A., %,.,,. B. %,,,.,. C. D..,.,, %,.,, %,,. A television show announcer asked viewers to vote online for their favorite commercial. The viewers could choose from one of three commercials. The results of their votes are shown below. A total of, votes were cast. The first commercial received % of the votes. The second commercial received of the votes. The third commercial received the remaining votes. What was the total number of votes for the third commercial? Page FCAT. Mathematics Sample Questions Florida Department of Education

5 SAMPLE FCAT. Mathematics Sample Questions Tim s workbench is in the shape of a trapezoid. A drawing of his workbench, with some of the dimensions, is shown below. Tim s Workbench? inches not to scale inches If the area of Tim s trapezoidal workbench has a total of, square inches, what is the total length, in inches, of the longest side of his workbench? Xander is on a bowling team. He needs a mean score of in games to remain in first place on his team. His scores are listed below. XANDER S BOWLING SCORES Game Number Score? What score must Xander get in game so that he has a mean score of for all games? F. G. H. I. Page FCAT. Mathematics Sample Questions Florida Department of Education

6 FCAT. Mathematics Sample Questions SAMPLE Hinsley kept a record of the number of points scored by some basketball players at school. The points scored by each player are represented by the line plot below. POINTS SCORED X X X X X X X Which value is the median of the number of points scored by these basketball players? A. B. C. D. The table below shows the numbers of calories a -pound person burns while swimming different numbers of hours. CALORIES BURNED BY A -POUND PERSON Number of Hours Swimming (x) Number of Calories Burned (y).. Which of the following expressions could be used to find the number of calories a -pound person burns after swimming x hours? F. x G. x H. x I. Page x FCAT. Mathematics Sample Questions Florida Department of Education

7 SAMPLE FCAT. Mathematics Sample Questions Jim is repainting a free-throw key of a basketball court. The free-throw key is made by combining a rectangle and a semicircle, as shown below. Free-Throw Key feet feet In order to know how much paint to purchase, Jim will determine the area of the free-throw key. What is the total area, to the nearest whole square foot, of the free-throw key shown in the diagram? Mr. Nichols wants to store cups of stew in containers. Each container holds a maximum of cups of stew. What is the minimum number of containers Mr. Nichols needs to hold all the stew? A. B. C. D. Camera World rents video recorders by the day. The store charges $. per day and a one-time cleaning fee of $.. If x represents a number of days, which expression can be used to determine the total charge, in dollars, to rent a video recorder for x days? F. (x +. ) G. H.. x + x +. I..x Page FCAT. Mathematics Sample Questions Florida Department of Education

8 FCAT. Mathematics Sample Questions SAMPLE Karla and Becky were practicing free throws. Karla attempted free throws and was successful times. Becky attempted free throws and was successful times. At these rates, how many more successful free throws would Karla make than Becky if they each attempted free throws? A. B. C. D. Mr. Gerard purchased different types of halogen light bulbs for the apartment building where he works. The information about the bulbs he purchased is shown in the table below. HALOGEN LIGHT BULBS PURCHASED Type of Light Bulb Number Purchased Total Cost -Watt Clear $. -Watt Warm White $. -Watt Capsule Bulb $. -Watt Cool White $. Which type of light bulb costs the least amount per light bulb? F. -Watt Clear G. -Watt Warm White H. -Watt Capsule Bulb I. -Watt Cool White Page FCAT. Mathematics Sample Questions Florida Department of Education

9 SAMPLE FCAT. Mathematics Sample Questions In a regulation wrestling match, wrestlers compete within a circular zone meters in diameter. Wrestling Mat Blue Corner meters Red Corner Protection Zone Which of the following is closest to the area of the circular zone? A.. square meters B.. square meters C.. square meters D.. square meters Mr. Madsen worked hours last week at his job. He spent of this time in meetings and of this time talking to customers on the phone. Which method would provide the most reasonable estimate of the total number of hours Mr. Madsen spent in meetings and talking to customers on the phone at his job last week? F. multiply by G. multiply by H. multiply by and add to the product I. multiply by and multiply the product by Page FCAT. Mathematics Sample Questions Florida Department of Education

10 FCAT. Mathematics Sample Questions SAMPLE The diagram below represents Akeem s chocolate bar. Akeem s Chocolate Bar Akeem gave of his chocolate bar to his sister and saved the rest for himself. After dinner, he ate of the part he saved for himself. Which of the following represents the part of Akeem s chocolate bar that he had left? A. B. C. D. Page FCAT. Mathematics Sample Questions Florida Department of Education

11 SAMPLE FCAT. Mathematics Sample Answer Sheet Name Answer all the Mathematics Sample Questions on this Sample Answer Sheet. A B C D F G H I A B C D. / / /.... /. // / / F G H I A B C D F G H I. / / /.... /. A B C D F G H I A B C D Page FCAT. Mathematics Sample Questions Florida Department of Education

12 FCAT. Mathematics Sample Answer Sheet SAMPLE F G H I A B C D F G H I A B C D Page FCAT. Mathematics Sample Questions Florida Department of Education