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*FLRC-MA08CG-301**FLRC-MA08CG-301*

Florida

Test CMath

Items 41-70

A. 1B. 2C. 3D. 4

Practice Example:

Jan is third in line. Paco is fifth. How many people are between Jan and Paco?

A B DC

8

2

Florida Math Grades 6 – 8

Area

Circumference C = �d or C = 2�rCircle A = πr2

Rectangle A = bh

Parallelogram A = bh

Triangle A = bh

Trapezoid A = h(b1 + b2)

b h wld r

= base = height = width= slant height = diameter = radius

KEY

AB CVP

S.A.

= area= area of base = circumference = volume= perimeter of base= surface area

Use 3.14 or 227 for �.

Total Surface Area

S.A. = 2πrh + 2B orS.A. = 2πrh + 2πr2

S.A. = 2bh + 2bw + 2hw orS.A. = Ph + 2B

Rectangular Prism V = bwh or V = Bh

V = πr2h orV = Bh

Right Circular Cylinder

Volume/Capacity

12

12

Right Circular Cone V = πr2h or13

Right Square Pyramid V = Bh13 S.A. = Pl + B12

V = Bh13

S.A. = (2πr)l + B12

Sum of the measures of the interior angles of a polygon = 180(n – 2)

Measures of an interior angle of a regular polygon =

where: n represents the number of sides

180(n – 2)n

3

1 yard = 3 feet 1 mile = 1,760 yards = 5,280 feet 1 acre = 43,560 square feet

1 cup = 8 fluid ounces1 pint = 2 cups1 quart = 2 pints1 gallon = 4 quarts1 pound = 16 ounces1 ton = 2,000 pounds

Conversions within a System of Measure1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters

1 liter = 1000 milliliters = 1000 cubic centimeters1 gram = 1000 milligrams1 kilogram = 1000 grams

1 minute = 60 seconds1 hour = 60 minutes1 year = 52 weeks = 365 days

Pythagorean theorem

ac

b

a2 + b2 = c2

Slope-intercept form of a linear equation

y = mx + b

where m = slope and b = y-intercept

Distance, rate, time formula

d = rt

where d = distance, r = rate, t = time

Simple interest formula

I = prt

where p = principal, r = rate, t = time

1 inch = 2.54 centimeters 1 foot = 0.305 meters1 mile = 1.61 kilometers

Conversions between Systems of MeasureWhen converting from Customary to Metric, use these approximations.

1 cup = 0.24 liters1 gallon = 3.785 liters1 ounce = 28.35 grams1 pound = 0.454 kilograms

When converting from Metric to Customary, use these approximations.

1 centimeter = 0.39 inches1 meter = 3.28 feet1 kilometer = 0.62 miles

1 liter = 4.23 cups1 liter = 0.264 gallons1 gram = 0.0352 ounces1 kilogram = 2.204 pounds

Temperature Conversions between Celsius and Fahrenheit°C = (°F – 32) ÷ 1.8°F = (°C × 1.8) + 32

4

Questions 41 through 70 are math questions. Read each question carefully. Choose the best answer and then go on to the next question. Do not skip any questions.

41. Mr. Williamson makes a salary of $99,000 per year. He pays a state income tax

of 4% on his salary. In his state, anyone who makes at least $100,000 per year must pay a state income tax of 5%.

If Mr. Williamson gets a $1,000 raise and makes $100,000 next year, how much more will he pay in taxes?

A. $200B. $960C. $1,000D. $1,040

42. Mrs. Fonte buys an equal number of cans of dog and cat food when she goes to the store. The table below shows how much she has paid for the cans of food in recent trips.

Number of Cans of Cat Food

Number of Cans of

Dog FoodPrice

2

4

6

8

10

$1.20

$2.40

$3.60

$4.80

$6.00

2

4

6

8

10

The dog food that Mrs. Fonte buys is twice the cost of the cat food.

How much does Mrs. Fonte pay for one can of cat food?

A. $0.20B. $0.30C. $0.40D. $0.60

5

43. One of the world’s fastest birds, the Needle-tailed Swift, can fly at a top speed of 105 miles per hour.

Which graph models the flying speed of a Needle-tailed Swift that is flying at top speed for 30 minutes?

A.

Time Elapsed (minutes)

Dis

tanc

e Tr

avel

ed

(mile

s)

0 5 10 15 20 25 300

102030405060 height

Top Flying Speed of a Needle-Tailed Swift

B.

Time Elapsed (minutes)

Dis

tanc

e Tr

avel

ed

(mile

s)

0 5 10 15 20 25 300

20406080

100

120 height

Top Flying Speed of a Needle-Tailed Swift

C.

Time Elapsed (minutes)

Dis

tanc

e Tr

avel

ed

(mile

s)

0 5 10 15 20 25 300

10203040506070 height

Top Flying Speed of a Needle-Tailed Swift

D.

Top Flying Speed of a Needle-Tailed Swift

Time Elapsed (minutes)

Dis

tanc

e Tr

avel

ed

(mile

s)

0 5 10 15 20 25 300

20406080

100

120 height

6

44. Look at the table showing the world population at various points in time.

YearPopulation(billions)

19001920194019601980

1.71.92.33

4.4

Which graph best displays the changes in population over time shown in this table?

A.

World Population

Year

Popu

latio

n (b

illio

ns)

54.5

43.5

32.5

21.5

10.5

0 1900-1919 1920-1939 1940-1959 1960-1979 1980-1999

B.

World Population190013%

192014%

194017%

196023%

198033%

7

C.

World Population

Year

Popu

latio

n (b

illio

ns)

54.5

43.5

32.5

21.5

10.5

0 1900 1920 1940 1960 1980

D.

World Population

Year

Popu

latio

n (b

illio

ns)

54.5

43.5

32.5

21.5

10.5

0 1900 1920 1940 1960 1980

8

45. John researched the prices of soybeans over a 5-year period. He noted that soybean prices are now rising more slowly than at any time during the last five years.

Which of the following graphs best represents this situation?

A.

Time elapsed

Pric

e

B.

Time elapsed

Pric

e

C.

Time elapsed

Pric

e

D.

Time elapsed

Pric

e

46. Pauline sketched a triangle to show how the wooden triangle she is making will look.

99 in.

20 in.c

How much wood should Pauline buy for the side of the triangle labeled c?

A. 79 inchesB. 97 inchesC. 101 inchesD. 119 inches

47. Look at the graph below.

Average Lawn Size Depending on Distance from Downtown

Distance of Home from Downtown (miles)

Aver

age

Law

n Si

ze(s

quar

e fe

et)

60,00050,00040,00030,00020,00010,000

00 20 40 60 80 100

What does the slope of the line in this graph suggest?

A. For every 20 miles a home is from downtown, the average lawn size increases by 10,000 square feet.

B. For every 20 miles a home is from downtown, the average lawn size decreases by 10,000 square feet.

C. There is no relationship between the distance of a home from downtown and lawn size.

D. A home that has a lawn size larger than 50,000 square feet must be more than

100 miles from downtown.

9

48. Joelle measures the distance that her sailboat travels in nautical miles. She uses the formula below to convert n, nautical miles traveled, to m, meters traveled.

m = 1852n

Solve this equation for n to find a formula for converting meters to nautical miles.

A. n = 1852m B. n = 1852m C. n = m – 1852 D. n = m1852

49. Mrs. Vieras is designing new walking paths for the city park, as shown in the diagram below.

75 ft

100 ft

60 ft

path 1path 2

122° 122°

Using the properties of similar triangles, find the length of path 2.

A. 35 feetB. 40 feetC. 45 feetD. 50 feet

50. Mrs. Dreman is ordering printed ribbon through a website. She needs to receive a minimum of 100 feet. She has a coupon that adds a 20% bonus to her order, plus the site is offering 4 free bonus feet of printed ribbon to any order.

Solve the inequality below to find n, the number of feet of ribbon that Mrs. Dreman needs to pay for in order to receive a total of at least 100 feet. Round to the nearest whole number if necessary.

1.2n + 4 ≥ 100

A. n ≥ 76B. n ≥ 79C. n ≥ 80D. n ≥ 87

51. Which of these is the best estimate for the location of √11 on a number line?

A. between 2.8 and 3.0B. between 3.2 and 3.4C. between 3.6 and 3.8D. between 5.4 and 5.6

52. Which of the following units are best for measuring the volume of a shoe box?

A. cubic centimetersB. cubic metersC. square centimetersD. square meters

10

53. Look at the parallel lines below and the line that runs through them.

A

B 5 67 8

3 41 2

The measure of ∠6 is 53°.

What is the measure of ∠4?

A. 37°B. 53°C. 107°D. 127°

54. Look at the line in the graph below.

x

y

0-4 4

4

-4

What is the equation for this line?

A. y = 3x + 2 B. y = 2x + 3 C. y = - 13x + 2 D. y = -2x + 13

55. The mass of Earth is approximately 5.98 × 1024 kilograms. The mass of the Moon

is approximately 7.383 × 1022 kilograms.

The mass of Earth is about how many times that of the Moon?

A. 75B. 81C. 123D. 140

56. In order to match the school record for the mile run, Sam has to run a mean time of

1 minute, 4 seconds per lap over the course of 4 laps. His times for the first 3 laps are shown below.

1 minute, 2 seconds 1 minute, 3 seconds 1 minute, 5 seconds

In what time does Sam need to run his final lap to have a mean time of exactly 1 minute,

4 seconds per lap?

A. 1 minute, 3 secondsB. 1 minute, 4 secondsC. 1 minute, 5 secondsD. 1 minute, 6 seconds

11

57. The owner of a manufacturing company created the graph below to represent the current production rate.

1,000900800700600500400300200100

00 1 2 3 4 5 6 7 8

Production RateN

umbe

r of

Uni

ts

Time (in hours)

If the owner doubles the rate at which units are produced, how many units will be produced in 4 hours?

A. 200 unitsB. 400 unitsC. 800 unitsD. 1,600 units

12

58. Look at similar triangles ABC and DEF in the grid below.

y

xO

654321

-1-2-3-4-5-6

1 3 652 4-1-2-3-4-5-6

A

BC

D

EF

Point D is located at (0, 4.5) and the length of AB is 5 units.

Use the properties of similar triangles to find the length of DE.

A. 6 unitsB. 7.5 unitsC. 10 unitsD. 10.5 units

59. Look at triangle ABC.

60°

A

B C?

D

What is the measure of ∠ACD?

A. 30°B. 60°C. 120°D. 150°

60. Murray researched the cost of light bulbs at a local store and the expected number of hours that each light bulb will last, known as the bulb life. The scatterplot below shows Murray’s findings.

Cost per Bulb

Bulb

Life

(hou

rs)

Light Bulb Life Depending on Cost4,0003,5003,0002,5002,0001,5001,000

5000$0.00 $0.20 $0.40 $0.60 $1.00$0.80 $1.20

Using the trend in the graph, which answer choice is closest to the amount that Murray could expect to pay for a light bulb with a life of 5,000 hours?

A. $1.80B. $1.60C. $1.40D. $1.20

61. Dr. Isaias uses the following formula to estimate the temperature in degrees Celsius, t, at various altitudes in kilometers, a.

t = -6.5a + 15

Solve this equation for a.

A. t – 15-6.5a =

B. a = -6.5t + 15 C. a = 6.5t – 15

D. t + 15

6.5a =

13

62. The lines y = x + 3 and y = -x + 3 are graphed in the coordinate grid below.

x

y

O

C B

DA

What is the solution to this system of equations?

A. (0, 0)B. (0, 3)C. (3, 0)D. (3, 3)

14

63. Look at the relationship between x and y shown in the table below.

x y-2

2-4-12001

Which graph shows this relationship?

A.

0 4-4

-4

4

y

x

B.

0 4-4

-4

4

y

x

C.

0 4-4

-4

4

y

x

D.

0 4-4

-4

4

y

x

15

64. Gwyneth is going to use the table below to calculate the cost per minute for various cell phone plans.

Plan

Cell Phone SpecialsNumber

of Minutes Cost

Conservative TalkerAbundant TalkerExtravagant TalkerSuper Talker Plus

500100015002000

$39.99$49.99$59.99$99.99

For which plan will Gwyneth pay the least per minute?

A. Conservative TalkerB. Abundant TalkerC. Extravagant TalkerD. Super Talker Plus

65. Look at the heptagon below.

What is the sum of the interior angles in this shape?

A. 180°B. 700°C. 900°D. 1,260°

66. Galena researched the average age of males getting married in each of the 50 states of the USA. She plotted her data in the box plot below.

30292826 27252423 31

Which conclusion is false based on the data in this plot?

A. Only two states have an average male marriage age less than 26 or greater than 27.B. The median male marriage age for the 50 states is about 26.4.C. All 50 states have an average male marriage age between 23 and 31.D. At least one state has an average marriage age of about 30 for males.

16

67. Look at the triangle in the coordinate grid below.

y

xO

121110

987654321

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

A

B

C

Use the Pythagorean Theorem to find the length

of line segment AB to the nearest unit.

A. 16 unitsB. 17 unitsC. 19 unitsD. 23 units

68. Which answer choice shows measures of complementary angles?

A. 35° and 55°B. 35° and 65°C. 60° and 60°D. 60° and 120°

69. A haunted house and corn maze is open 5 days per year. Visitors can buy passes for

one or more days. The chart below shows the total price, p, of a pass for n days.

Number of Days (n) Total Price (p)12345

$10$15$20$25$30

Which function shows the relationship between the number of days and total price as shown in the chart?

A. p = $10nB. p = $15nC. p = $10(n – 1) + $5D. p = $5(n – 1) + $10

70. Quincy learned that chicken should be cooked to 167 degrees Fahrenheit (F).

How many degrees Celsius (C) is this?

A. 333 °CB. 225 °CC. 75 °CD. 37 °C