The Intertubes are your friend...
You can click on the linky
Or you can read through the jibberish from my cut and paste as it's a PDF and figures/pictures tend not to copy well :)
Linky to testies
http://www.edinformatics.com/testing/fla.htmGrade 10 Math Test
http://fcat.fldoe.org/pdf/releasepdf/06/FL06_Rel_G10M_TB_Cwf001.pdfDirections for Completing the Response Grid
1.�Work the problem and find an answer.
2.�Write your answer in the answer boxes at the top of the grid.
•
Print your answer with the first digit in the left answer box, OR with the last digit in the right answer box.
•
Print only one digit or symbol in each answer box. Do NOT leave a blank answer box in the middle of an answer.
•
Be sure to write a decimal point or fraction bar in the answer box if it is part of
the answer. 3.�Fill in a bubble under each box in which you wrote your answer.
•
Fill in one and ONLY one bubble for each answer box. Do NOT fill in a bubble under an unused answer box.
•
Fill in each bubble by making a solid black mark that completely fills the circle.
•
You MUST fill in the bubbles accurately to receive credit for your answer.
Parts of a Response Grid
Response grids have these parts:
/ / / . . . . . 0 1 2 3 4 5 7 8 9 6 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 answer boxes fraction bar decimal point number bubbles
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
andFCATonSSSFCATGrades 9–10 FCAT Mathematics Reference Sheet
Area Triangle A = 1 2 bh Rectangle A = l w Trapezoid A = 1 2 h (b1 + b2) KEY b = base d = diameter h = height r = radius l = length A = area w = width C = circumference = slant height V = volume S.A. = surface area Use 3.14 or 22 7 for π. Parallelogram Circle A = bh A = π r2 Circumference C = πd or C = 2πr Right Cone Circular Volume/Capacity V = 3 1 πr2 h Total Surface Area + πr2 or S.A. = πrS.A. = 1 2 (2πr) + πr2 Right Square Pyramid Sphere V = V = 3 1 lwh 4 3 πr3 S.A. = 4( 1 l2 S.A. = 4πr2 )+ l2 or S.A. = 2l + l2 Cylinder Right Circular V = πr2 h S.A. = 2πrh +2πr2 Rectangular Prism V = lwh S.A. = 2(lw)+ 2(hw) + 2(lh) In the following formulas, n represents the number of sides. • In a polygon, the sum of the measures of the interior angles is equal to 180(n − 2). • In a regular polygon, the measure of an interior angle is equal to 180(n − 2) .
n
Fold and Tear Carefully Along Dotted Line.................................................................................................................................................................................................................................................................... This FCAT Mathematics Reference Sheet is for use only on the SSS FCAT MathematicsTest.
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
andFCATonSSSFCATFold and Tear Carefully Along Dotted Line....................................................................................................................................................................................................................................................................This FCAT Mathematics Reference Sheet is for use only on the SSS FCAT Mathematics Test. Grades 9–10 FCAT Mathematics Reference Sheet
Pythagorean theorem: a2 +b2 =c2c a Distance between two points P1 (x1, y1) and P2 (x2, y2): (x2 -x1)2 + (y2 -y1)2 b Midpoint between two points P1 (x1, y1) and P2 (x2, y2): x2 + x1 2 , y2 + y1 2 )(Slope-intercept form of an equation of a line: where m = slope and b = the y-intercept. y = mx + b I = prt where p = principal, r = rate, t = time. Simple interest formula: d = rt Distance, rate, time formula: where d = distance, r = rate, t = time. Conversions 1 yard = 3 feet = 36 inches 1 cup = 8 fluid ounces 1 mile = 1760 yards = 5280 feet 1 pint = 2 cups 1 acre = 43,560 square feet 1 quart = 2 pints 1 hour = 60 minutes 1 gallon = 4 quarts 1 minute = 60 seconds 1 liter = 1000 milliliters = 1000 cubic centimeters 1 pound = 16 ounces 1 meter = 100 centimeters = 1000 millimeters 1 ton = 2000 pounds 1 kilometer = 1000 meters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Metric numbers with four digits are presented without a comma (e.g., 9960 kilometers). For metric numbers greater than four digits, a space is used instead of a comma (e.g., 12 500 liters).
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
This is a picture of a generic calculator and its parts.
•–
GENERIC MODEL
0 =+ 123% 456 – 789 ✕ MRC CE M + M – ÷+ ON/C OFF ME Solar Cell Memory Indication Display Negative Sign Error Indication Memory Keys On/Clear Off Sign Change Division Percent Multiplication Square Root Subtraction Clear Entry Addition Equal Sign Decimal Point HELPFUL HINTS FOR TAKING THE FCAT MATHEMATICS SSS TEST
1.
Read the problem very carefully. Then decide whether or not you need the calculator to help you solve the problem.
2.
When starting a new problem, always clear your calculator by pressing the clear key.
3.
If you see an E in the display, clear the error before you begin.
4.
If you see an M in the display, clear the memory and the calculator before you begin.
5.
If the number in the display is not one of the answer choices, check your work. Remember that when computing with certain types of fractions, you may have to round the number in the display.
6.
Remember, your calculator will NOT automatically perform the algebraic order of operations.
7.
Calculators might display an incorrect answer if you press the keys too quickly. When working with calculators, use careful and deliberate keystrokes, and always remember to check your answer to make sure that it is reasonable.
8.
The negative sign may appear either to the left or to the right of the number.
9.
Always check your answer to make sure that you have completed all of the necessary steps.
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
4
FCAT Mathematics Released Test Book
Use the space in the Test Book to do your work. If you change your answer, be sure to erase completely.
1
Tonja and Edward are participating in a jog-a-thon to raise money for charity. Tonja will raise $20, plus $2 for each lap she jogs. Edward will raise $30, plus $1.50 for each lap he jogs. The total amount of money each will raise can be calculated using the following expressions where n represents the number of laps run:
Tonja: 20 2n Edward: 30 1.50n
After how many laps will Tonja and Edward have raised the same amount of money?
A. 3
B. 6.5
C. 14.5
D. 20
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
2
Stan weighs 150 pounds (lbs) and would like to gain between 0.5 and 1.0 pound (lb)
per week over the next 10 weeks. He plans to record his progress on the graph below. On the graph, the dotted line represents a weight-gain rate of exactly
0.5
pound per week, and the solid line represents a weight-gain rate of exactly
1.0
pound per week.
STAN’S WEIGHT-GAIN PROGRESS 1.0 lb per week weight gain 0.5 lb per week weight gain Weight (in lbs) 160 159 158 157 156 155 154 153 152 151 150 KEY C B A 0 1 2 3 4 5 6 7 8 9 10 Week
If Stan gains between 0.5 and 1.0 pound per week, which region on the graph will contain all possible points that could represent Stan’s weight-gain progress?
F. region A G. region B H. region C I. regions A and B combined
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
3
Tom used the Pythagorean theorem to calculate the direct distance from his house to the park. He found the distance to be
miles.
50 not to scale
Which of the following is equivalent to
50? A. 52
B. 10
C. 25
D. 252
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
4
Highlands Park is located between two parallel streets: Walker Street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below.
A Walker St. B Highlands Parkbrick wall brick wall 36° 60°
James Ave. C
What is the measure of
∠ACB,
the angle formed by the park’s two brick walls?
F. 96 G. 84 H. 60 I. 36
5
In 1995, there was a total of 7.2 million acres of pine forests in Florida. All of the
forests were either natural or planted by people. Given that 4.4 million acres of these pine forests were planted by people, how many millions of acres of these pine forests were natural?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
6
To determine the mean width of Lake Okeechobee, 7 line segments were drawn at even intervals across the map below.
LAKE OKEECHOBEE 15 km 24 km 42 km 49 km 42 km 32 km 20 km
Using the lengths of these 7 line segments, what is the mean width, in kilometers, of Lake Okeechobee?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
7
Abdul plans schedules for several biologists who are researching the manatee. One biologist must travel from Newport to Russell Key. Later the biologist has a meeting in Islamorada. Abdul must use the map below to find the distance from Russell Key to Islamorada to determine how much time the biologist can spend on Russell Key.
Russell Key 13.2 mi. Newport Islamorada 15.5 mi.
What is the distance in miles (mi.) from Russell Key to Islamorada?
FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
8
In 1790, the United States had a population of approximately 4,000,000 people, as shown on the graph below.
U.S. POPULATION
10 5 20 15 25 0 Number of People (in millions) 1790 1800 1810 1820 1830 1840 1850
Year
According to the graph, in what year had the population grown to approximately twice that number?
A. 1797
B. 1808
C. 1813
D. 1822
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
9
An environmental group needed to determine the number of palmetto palms in a nature preserve. The group used a map of the preserve and counted the number of palmetto palms within a square section.
NATURE PRESERVE KEY 4 Palmetto Palms Square Section
Assuming that the number of palmetto palms within the square section is representative of the entire nature preserve, which is closest to the number of palmetto palms within the entire nature preserve?
F. 40
G. 150
H. 650
I. 1000
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
10
Robert is making a landscape drawing for his backyard on the coordinate grid below. He is drawing a path. One side of the path represented by
←→ ST
is already drawn. He wants to draw the other side of the path through point R and point Q so that
QR
will be parallel to
←→ ST .
Which of the following coordinates for point Q would make
QR
parallel to
←→ ST ? A. (-6, 2) B. (-7, 0) C. (6, 2) D. (7, 0)
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
11
An artist sells earrings from a booth at a fair. Rent for the booth is $250. The artist makes $6 from each pair of earrings sold. The profit in dollars, P, can be found using the following equation, where n is the number of pairs of earrings sold.
P 6n 250
How many pairs of earrings must the artist sell to earn a profit of $500 ?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
A jeweler made earrings by cutting wedges from silver disks. Each wedge cut from a
disk made a
40
angle at the center of the disk.
40˚
If the weight of each uncut disk was 2.7 grams, how many grams did each wedge weigh?
FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
Byron is painting a mural showing a series of equilateral triangles. The first
triangle will have sides 1000 centimeters (cm) long. The sides of each subsequent triangle will be 20% smaller than the triangle before. Byron’s sketch of the mural is shown below.
1000 cm
What will be the length, in centimeters, of one side of the fourth triangle?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
Julio’s music appreciation class is studying examples of classical music used in films. Each student is randomly assigned to report on 2 of the selections listed in the table.
CLASSICAL MUSIC IN FILMS
Film Title
Composer
Selection
A Clockwork Orange
Beethoven
Symphony No. 9 “Choral”
A Room with a View
Puccini
Gianni Schicchi
Amadeus
Mozart
Piano Concerto No. 20
Apocalypse Now
Wagner
Ride of the Valkyries
Au Revoir les Enfants
Schubert
Moment Musical No. 2
From the music selections above, how many combinations of 2 are possible?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
15� In music a certain “A note” has a frequency of 440 hertz (vibrations per second).
This is called the first harmonic. The second harmonic of that “A note” is 880 hertz, and the third harmonic is 1,320 hertz. According to this pattern, what is the frequency of the fifth harmonic?
F. 880 hertz
G. 1,760 hertz
H. 2,200 hertz
I. 2,640 hertz
16�
In a survey, people were asked to choose a favorite art activity. The information in the table below shows some of the results of the survey.
FAVORITE ART ACTIVITIES OF SOME PEOPLE (in millions)
Age
Pottery
Needlework
Photography
Painting
Creative Writing
18–24
2.2
4.3
2.7
4.6
3.4
25–34
4.2
10.2
6.2
4.2
3.0
35–44
4.0
10.0
5.2
4.0
3.2
45–54
2.5
7.2
3.6
2.2
1.9
Total
12.9
31.7
17.7
15.0
11.5
According to the information in the table, which of the following statements is true?
A. More people aged 25 to 34 chose needlework than the total number of people who chose creative writing.
B. Two times as many people aged 45 to 54 chose photography as chose needlework.
C. Less than sixteen percent of the people represented in the table chose pottery.
D. Fifteen percent of the people represented in the table chose painting.
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
17
The number of shoppers at a Fort Myers flea market ranges from an average of
55,000 per weekend during the tourist season to an average of 18,000 on a summer weekend.
What is the percent of decrease, to the nearest whole number, in the number of shoppers at the flea market from the tourist season to a summer weekend?
F. 18%
G. 33%
H. 55%
I. 67%
18
A local bakery is baking cakes for a restaurant owner. The bakery sells one kind
of cake for $16 and another kind of cake for $12. The restaurant owner will pay $1,000 all together for 70 cakes. This information can be represented by the following equations, where x represents the number of $16 cakes and y represents the number of $12 cakes.
16x 12y 1,000 x y 70
How many $16 cakes should the bakery bake for the restaurant owner?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
Brian works for a caterer who prepares and serves barbecued beef. The amount of
beef is prepared according to the following table.
BARBECUED BEEF PLANNING CHART
Number of Guests
Pounds of Beef
10
8
20
16
30
24
40
32
Based on the pattern in the table, how many pounds of beef should be prepared for 225 guests?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
20
The manager of a computer help center made a table to track customer calls. The table below shows the number of telephone calls and the duration of the calls in minutes, t.
DURATION OF CUSTOMER CALLS
Call Duration (t minutes) Number of Calls t 4 120 4 t 8 225 8 t 12 210 12 t 16 150 16 t 20 30 20 t 24 15
What percent of the telephone calls received during this one-day period lasted less than 16 minutes?
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
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FCAT Mathematics Released Test Book
A toy company manufactured 12,000 model racecars. Alisha, who works in the
quality control group, chose 250 of the model racecars at random and had them checked for defects. Of the 250 racecars, 212 were found to have NO defects. Assuming this ratio held true for all 12,000 model racecars, how many of the racecars had defects?
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Left SESSION: 366 PAGE: 24 7/6/106 8:20 LOGIN IS-pam PATH: @
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
22
FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
An automobile testing organization is verifying the acceleration characteristics of a car. The car will accelerate at a rate of 3 miles per hour per second from 0 miles per hour (mph) to 45 mph. The graph below shows the beginning of the ideal acceleration plot.
CAR ACCELERATION Speed (in miles per hour) 48 45 42 39 36 33 30 27 24 21 18 15 12 9 6 3 0 1 23 4 56 7 8 9 10 111213 1415 1617181920 Time (in seconds)
If the rate of acceleration remains constant, how many seconds will it take the car to reach its final test speed?
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FCAT Mathematics Released Test Book
23
Three families are traveling west on the Overland Trail. They are taking the same path the pioneer families did in the 1850s. The families started together 360 miles from their final destination. The graph below shows the line of best fit for the distance each family has left to travel at the end of the first 11 days.
OVERLAND TRAIL TRIP
Distance Left to Travel (in miles) 400
300 200 100 x x x x 5 10 15 20 25 300 KEY Jones family Powers family Smith family x Number of Days Traveled
If each family continues to travel at the same rate, approximately what total number of miles will the Jones family have left to travel at the end of the fifteenth day?
A. 115 miles
B. 140 miles
C. 150 miles
D. 170 miles
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education
FCAT Mathematics Released Test Book
24
The Venn diagram below shows the types of novels the literature club members read during their summer break.
LITERATURE CLUB SUMMER READING Adventure Romance 36 2 28 14 7 3 43 Mystery
Which of the following is NOT supported by the information in the Venn diagram?
F. 21 members read both an adventure novel and a romance novel
G. 64 members read only an adventure novel or a mystery novel
H. 26 members read all three types of novels
I. 67 members read a romance novel
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FCAT 2006 Mathematics Released Test 2006 Florida Department of Education