MATH FCAT PRACTICE (Grade 10, Lesson 1)
1. The "lightweighting" process makes it possible for manufacturers to use less material to produce
glass bottles. In 1972 it took 75.7 pounds of glass to produce 100 16-ounce glass bottles. In
1992 it took 48 pounds of glass to make the same number and size of bottles. What is the
percent decrease in the number of pounds of glass used in 1972 compared with 1992 to produce
100 16-ounce bottles. (Round percent to the nearest whole number percent.)
2. Two identical right circular cones have been placed with their bases touching to create the
sculpture shown in the drawing below. The radius of each base is 3 cm and the total length of the
object is 24 cm. What is the volume, in cubic centimeters, of the sculpture?
100 ft
100 ft
3 cm
100 ft
24 cm
100 ft
3. A water sprinkler was installed at each corner of the park. Each sprinkler can water exactly
halfway down each side of the park. The sprinklers would not reach the shaded area as shown in
the diagram, so the city decided it would lay bricks in this area. Which of the following
expressions could be used to determine the brick area, in square feet, of the park?
A. 1002 π − 2002
B. 2002 − 1002 π
C. 502 π − 1002
D. 1002 − 502 π
4. A catering company is preparing for a wedding that will be attended by 150 people. Sonja figures
each person will drink two 8-ounce glasses of punch. The punch is made of equal parts of ginger
ale and juice. The ginger ale will be purchased in bottles that contain 0.528 gallons.
How many bottles of ginger ale should Sonja purchase to make two 8-ounce glasses of punch for
each person at the wedding?
A. 10 bottles
B. 18 bottles
C. 19 bottles
D. 36 bottles
5. Triangles ABD and CDE are similar triangles. Angles ABD and CDE are corresponding angles, as
are angles DAB and ECD.
A
Which of the following angles are congruent?
A.
B.
C.
D.
ECB and EBC
ADF and CEB
ECB and ADB
EBC and EDC
F
D
E
C
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B
6. Herman's Taxi Service charges $2.50 for a ride of 1/4 mile or
less. It charges $0.50 for each additional 1/4 mile or part there
of. The graph shows how much it costs to ride in one of Herman's
taxis for up to 2 1/2 miles.
Question
6A
Question
6B
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How much would it cost to ride in one of Herman's taxies for
a distance of: (A) 1 3/4 miles?
(B)1.6 miles?
(Express answers in dollar/cents format)
7. John took a taxi from Dayton to Red Hook. On the way the taxi
stopped at Bellvue to drop off another passenger. Bellvue is 1 1/6
miles from Dayton and 1/3 miles from Red Hook along Route 9.
How much was the taxi fare for John?(Express answer in dollar/cents format)
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Question
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8. Bill's fare was $6.00. Based on this information, which best represents the distance in
miles, D, Bill traveled in the taxi?
A. D = 1
3
4
B. D = 2
C. 1.75 < D < 2
3
4
D. 1 ≤ D ≤ 2
9. Steve's fare was twice as much as Mark's fare. Which of the following is possible
under the above taxi fare structure?
A.
B.
C.
D.
Mark traveled 1/4 of a mile and Steve traveled a mile farther.
Mark traveled 1/3 of a mile and Steve traveled 2 miles
Mark traveled 3/4 of a mile and Steve traveled twice as far.
Steve traveled 4 miles and Mark traveled half that distance.
10. The same fare structure extends to the first 10 miles traveled. What will it cost Fred to
travel 5 miles? Show your work.
F:\[Z4][2003-04]\FCAT UPDATES\Grade 10\FCAT_Practice_Grade_10_Lesson_1.doc
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MATH FCAT PRACTICE (Grade 10, Lesson 1)
Answers
1. 37%
75.7 – 48.0 = 27.7;
27.7
= 0.3659 = 36.59% = 37%
75.7
)
(3
2. Vcone = 1 πr 2h ; V = 2 1 π × 32 × 12 = 72π = 72 × 3.14 = 226.08 = 226
3
3. A shaded = A square − A circle w / r =100 = 2002 − 1002 π
4. 300 = Glasses of punch drunk
2400 = ounces of punch drunk
1200 = ounces of ale
From reference sheet, 1 gallon = 128 ounces.
1 bottle = 0.528 gal = 0.528 gal x 128 ounces/gal = 67.584 ounces
1200 ounces / 67.584 ounces per bottle= 17.76 bottles = 18 bottles
5. B Supplements of equal angles are equal.
6. A) $5.50
B) $5.50
7. $5.00
8. C
9. B
10. First ¼ = $2.50 To find how many one-fourths are in 5 – ¼ = 4 ¾ miles, divide as follows:
4 3 ÷ 1 = 19 ÷ 1 = 19 × 4 = 19;
4
4
4
4
4
1
19 × $0.50 = $9.50
$9.50 + $2.50 = $12.00 Ans
F:\[Z4][2003-04]\FCAT UPDATES\Grade 10\FCAT_Practice_Grade_10_Lesson_1_Answers.doc