FCAT Practice
Mission: F.C.A.T.
Measurement 1. Spalding, Inc. is making a mini basketball and needs to figure out how much leather will be needed to completely cover the surface. Find the surface area of the ball if the diameter is 6 inches. A. 36 π in.2 B. 72 π in.2
C. 108 π in.2 D. 144 π in.2
2. A Frisbee has a circumference of 36 π cm. Find the length of the diameter of the Frisbee. F. 6 cm G. 12 cm
H. 18 cm I. 36 cm
3. The Martinez family is planning to tile their kitchen. The dimensions of the kitchen are 15 feet by 8 feet. Each tile has an area of one square foot and the cost of each tile is $4.20, how much will it cost to tile the kitchen?
Answers: 1) A
2) I
3) $504.00 B-1
Mission: F.C.A.T.
Measurement 1. A storage tank in the shape of a sphere holds liquid hydrogen for the Space Shuttle's external tanks at Kennedy Space Center. If the radius of the sphere is 30 feet, how many gallons of hydrogen does it hold if there are 7.48 gallons in 1 cubic foot? (Use π ≈ 3.14) A. 15,112
C. 845,539
B. 113,040
D. 869,538
2. A right cylinder has a total surface area of 471 square centimeters. The radius of the cylinder is 5 centimeters. What is the height in centimeters of the cylinder? 3. Ben is planning a trip to Atlanta. The total number of miles one way is 480. Your average speed is 62 mph. How many hours will it take you to drive to Atlanta? Round your answer to the tenths place.
Answers: 1) C
2) 10
3) 7.7 B-2
Mission: F.C.A.T.
Measurement 1. The fastest insect, a tropical cockroach, can scurry up to 300 feet in a minute. What is its approximate speed in miles per hour? A. B.
0.1 1.1
C. 3.4 D. 10.2
2. What is the perimeter of the figure below?
14 in.
F. 66 inches G. 108 inches Answers: 1) C
H. 132 inches I. 231 inches
2) F B-3
Mission: F.C.A.T.
Measurement 1. Carrie is building a rectangular training area for her new pony. The fence will be 35 12 feet by 28 34 feet. If she builds the fence from wood fencing and wants to make three layers of wood around the fenced area, what is the total linear footage of wood she must order to complete the job? A. 128 12 feet B. 385 12 feet
C. 213 feet D. 1020 85 feet
2. Find the volume, in cubic inches, of the hot water heater if the height is 60 inches and the diameter of the base is 24 inches. Round answer to the nearest whole number. (Use π ≈ 3.14)
60 in.
24 in.
Answers:
1) B
2) 27,130 in.
3
B-4
Mission: F.C.A.T.
Measurement 1. Which formula or formulas would be best for finding the area of this polygon?
2.
A.
A = 12 h ( b1 + b2 )
B.
A = 13 π h
C.
A = 12 b h and A = l • w
D.
A = 12 h ( b1 + b2 ) and A = l • w
If the area of a rectangle is 323 square inches and one side is 17 inches long, how long is the other side? F. 16 inches G. 17 inches Answers: 1) C
H. 18 inches I. 19 inches
2) I B-5
Mission: F.C.A.T.
Measurement The table below shows the top five crude oil production countries for a ten-year period. The United States reported a decrease in crude oil production for the period. What is the percent of decrease in crude oil production for the US? Crude Oil Production, in tons Country 1988 1998 Saudi Arabia 303,637,162 488,560,908 USA 506,660,859 405,562,378 Russian Federation 626,972,627 335,433,332 Iran 128,143,690 206,898,322 Mexico 158,115,534 192,237,581
A. B. C. D.
0.1995% 0.80% 19.95% 24.93%
Answers: C B-6
Mission: F.C.A.T.
Name …………………… Measurement
1.
What is the perimeter of a square with an area of 324 square inches? A. B.
2.
6,400 64,000
8 14
C. D.
16 18
18π in.2 81π in.2
H. I.
162π in.2 324π in.2
18.5 mi. 111.0 mi.
C. D.
1110.3 mi. 11,102.8 mi.
H. I.
5,040 10,080
How many minutes are in one week? F. G.
7.
H. I.
Earth travels 66,617 mi/hr around the sun. About how far does the earth travel in one minute? A. B.
6.
64 640
What is the area of a circle with circumference 18π inches? F. G.
5.
72 in. 162 in.
Margo's recipe calls for 2 14 cups of milk, how many ounces would this be? A. B.
4.
C. D.
How many meters are in 6.4 kilometers? F. G.
3.
18 in. 36 in.
420 1,440
A door is measured by height, width, and thickness. Estimate the width of an average size door. A. B.
100 mm 1m
C. D.
10 m 1 km
B-7
Mission: F.C.A.T.
Name …………………… Measurement
1. The first Ferris wheel, designed by George Ferris, was built in 1893, in Paris, France. The diameter of the Ferris wheel was 76 meters. Approximately what distance would you travel if you rode the first Ferris wheel 5 revolutions? A. 239 meters B. 477 meters
C. D.
1193 meters 2386 meters
2. Katherine needs to build a rectangular pen for her pigs. The pen will be 20 13 feet by 18 34 feet. How much fencing will she need to complete the pen? 1 feet F. 39 12
H. 360 14 feet
G. 78 16 feet
I. 381 14 feet
3. A carton holds 12 cans of orange juice. If each can has a height of 7 centimeters and a diameter of 4.2 centimeters, how much paper is needed to make labels for the 12 cans? Use π ≈ 3.14 A. B.
92.4 sq. cm. 184.8 sq. cm.
C. D.
1107.8 sq. cm. 2217.6 sq. cm.
4. A cookie recipe calls for 3 12 cups of flour and makes 5 dozen cookies. You want to reduce the recipe to make 3 dozen cookies. How much flour do you need? F.
1 2
H.
1 2 10
G.
1 12
I.
2 12
5. A girl scout troop hiked 38 miles over three days in the Smoky Mountains. The first day, they hiked 1 mile less than 3 times as far as on the second day. The third day, they hiked 2 miles less than on the first day. How far did they hike the first day? A. 6 miles B. 15 miles
C. D.
17 miles 18 miles B-8
Mission: F.C.A.T.
Name …………………… Measurement
1. The table below shows the ten tallest mountains in the world. According to the data, which of the following statements is NOT true? Ten Highest Mountains mountain
A. B. C. D. 2.
height
location
Mount Everest
29,034 ft.
Nepal / China (Tibet)
Qogir (K2)
28,250 ft.
Pakistan (Kashmir)
Kangchenjunga
28,208 ft.
Nepal / China (Tibet)
Makalu I
27,824 ft.
Nepal / China (Tibet)
Dhaulagiri
26,810 ft.
Nepal
Manaslu I
26,760 ft.
Nepal
Cho Oyu
26,750 ft.
Nepal / China (Tibet)
Nanga Parbat
26,660 ft.
Pakistan (Kashmir)
Annapurna I
26,504 ft.
Nepal
Gasherbrum
26,470 ft.
Kashmir
All of the mountains fall between 5.013 and 5.499 miles in height. 70% of the mountains are located in Nepal. Gasherbrum is at least 5.25 miles high. Mount Everest and Qogir are at least 5.25 miles high.
The world’s largest dam, built in 1985, is Rogun. Located in Tajikistan, it measures 335 meters in height. The Hoover Dam, built in 1936, ranks 21st in the world and measures 223 meters in height. The Hoover dam is what percent smaller than the Rogun dam? Round your answer to the nearest percent. F. 66%
G. 67%
H. 150%
I.
151%
3. Mike jogs 5 miles each afternoon while training for the cross country team at Washington High School. Coach Morrow times his run to record his progress. If Mike’s last run took him 26 minutes 15 seconds, how long did it take for Mike to run 1 mile? A. 5.23 minutes B. 5.25 minutes
C. D.
11.4 minutes 11.47 minutes B-9
Mission: F.C.A.T.
Name …………………… Measurement
1. A cubic foot of water is approximately 7.481 gallons. Which container below requires approximately 3000 gallons of water?
A.
C.
10 ft.
8 ft.
6 ft.
6 ft.
12 ft.
8 ft.
B.
D. 8 ft.
8 ft. 2 ft.
8 ft. 8 ft.
2. The Beautification Committee of a local town has decided to construct a bench around a very large oak tree located in the center of town. The diameter of the tree is 36 inches and the bench is to be 14 inches wide. Find the total area of the bench rounded to the nearest whole number. Use π ≅ 3.14
F. G. H. I.
14 in.
36 in.
13 inches squared 44 inches squared 2,198 inches squared 3,781 inches squared
B-10
Mission: F.C.A.T.
Name …………………… Measurement
1. A neighborhood park needs to be fenced in. The shape of the park is a pentagon and looks like the figure below. Given the dimensions on the figure determine to the nearest foot the length of fence needed to complete the project. 20 ft.
20 ft.
12 ft.
12 ft. 18 ft.
2. If the area of the given trapezoid is 150 square centimeters, find the height in centimeters. 9 cm
6 cm
3. Tom’s family is having new carpet installed in their family room. Given the diagram of the room, determine the total area that will be carpeted. 32 ft. 8 ft.
4 ft.
7 ft. 6 ft. 5 ft.
B-11
Mission: F.C.A.T.
Name …………………… Measurement
1. How many square yards of carpet are needed to carpet a 23 foot by 15 foot living room?
2. A right cylinder has a total surface area of 471 square centimeters. The radius of the cylinder is 5 centimeters. What is the height in centimeters of the cylinder?
3. A cake recipe calls for 2 cups of sugar for every 5 cups of flour. If 8 cups of sugar were used, then how many cups of flour were needed?
B-12
Mission: F.C.A.T.
Name …………………… Measurement
1. A circular spinner used for a board game is divided into six equal sectors. If the radius of the spinner is 3 inches find the area of each sector.
2. A stop sign is in the shape of an octagon. What is the measure in degrees of each interior angle of the stop sign?
3. To the nearest cubic foot, find the volume of the figure shown below. 6 ft.
8 ft.
4 ft.
B-13
Mission: F.C.A.T.
Name ………………….… Measurement
1.
Tiffany traveled 182 miles in 3.25 hours. What was her rate of travel? A. 54 mph
2.
H. 3.69
I. 3.75
B. $9.54
C. $92.82
D. $104.13
G. 3.9 hours
H. 3.87 hours
I. 3.88 hours
If Cricket types 2,100 words in 30 minutes, how many words per minute does she type? A. 65
6.
G. 3.50
How long will it take a car averaging 62 mph to make a 240 mile trip? Round your answer to the nearest tenth. F. 3.8 hours
5.
D. 57 mph
Leah worked as a temporary employee for 3 12 hours on Saturday morning. She was paid $29.75. What was her hourly rate of pay? A. $8.50
4.
C. 56 mph
Tampa is located 240 miles from Jacksonville. If Glen travels at an average rate of 65 miles per hour, how many hours will it take him to travel from Tampa to Jacksonville? Round your answer to the nearest quarter of an hour. F. 3.25
3.
B. 55 mph
B. 70
C. 1,050
D. 63,000
A hiking party is descending Rocky Pass at a rate of 400 feet of altitude per hour. If they started at 9,420 feet above sea level, how long, to the nearest hour, will it take them to reach their base camp at an altitude of 5,000 feet? F. 11 hours
G. 12 hours
H. 23 hours
I. 24 hours
B-14
Mission: F.C.A.T.
Name …………………...… Measurement
1. The World Almanac reports that the average American will throw away 5 pounds of aluminum soda cans, 72 pounds of tin cans, 80 pounds of glass bottles, and 90 pounds of plastic containers. All of these items are recyclable and need not be thrown out. What part of a ton does the average family of four produce in one year? A. B.
0.12 0.49
C. D.
0.50 0.53
2. Hurricane Inez is being tracked by a weather satellite. The satellite shows Inez is 768 miles southeast of the Grand Bahamas. It is moving directly toward Freeport, Grand Bahamas, in a northwest direction at 12 miles per hour. If the hurricane stays on its present course, how many days will it take for Inez to reach Freeport? N
F. G.
less than 2 days between 2 and 3 days
H. I.
between 3 and 4 days 64 days
3. Suppose one cube has a side length of 2 inches and a second cube has a side length of 4 inches. What is the ratio of the volume of the smaller cube to the volume of the larger cube?
4 in.
2 in. A.
1 8
B.
2 4
C.
1 2
D.
8 1
B-15
Mission: F.C.A.T.
Name …………………...… Measurement
1. The diameter of Jupiter at the equator is 88,734 miles. Using π ≅ 3.14, find the circumference of Jupiter to the nearest mile. A. B.
139,382 139,383
C. D.
278,624 278,625
2. If a circle has a circumference of 6.4 cm, what is the diameter of the circle to the nearest 0.1 cm? Use π ≅ 3.14 F. G.
0.2 2.0
H. I.
2.04 20.1
3. Find the circumference of a wall clock whose diameter is 18 inches. Give your answer to the nearest half inch. Use π ≈ 3.14
18 in.
4. Miriam wants to stencil a border over her entry door transom. If her stencil is 9 inches long, how many times will she have to use the stencil in order to go across the top of the transom only.
6 ft.
A. B.
25 26
C. D.
29 33 B-16
Mission: F.C.A.T.
Name …………………...… Measurement
1. The Petronas Towers in Kuala Lumpur measure 1,483 feet tall. However, measuring in feet makes it difficult for people to really understand the tremendous height of the building. To grasp its enormous size you could relate the feet measurement to the portion of a mile the building reaches into the sky. Calculate the measurement to the nearest tenth of a mile for the Petronas Tower buildings.
2. A sheet of plywood measures 4 feet by 8 feet. How many square inches are in the plywood? A. B.
32 384
C. D.
1,152 4,608
3. A party is being planned for 25 students. Each student is to get three 16-ounce glasses of lemonade. How many gallons of lemonade should be ordered? F. G.
6 9
H. I.
10 12
4. A rectangular family room measures 18 ft. by 22 ft. How many square yards of carpet are required to cover the floor? A. B.
15 33
C. D.
40 44
5. Tommy Ticker’s heart beats an average of 70 times per minute, how many times does it beat in a day? F. G.
1,680 4,200
H. I.
50,400 100,800
B-17
Mission: F.C.A.T.
Name ………………….… Measurement
Choose one. 1.
Two angles are complementary if and only if the sum of their degree measures is ___. A. 90
2.
B. 180
Two angles are supplementary if and only if the sum of their degree measures is ___. C. 90
D. 180
3. Two angles form a ____ if and only if they are adjacent and their noncommon sides are opposite rays. F. linear pair 4.
G. vertical pair
Two angles in the same plane are ____ if and only if they have a common side and a common vertex, but no interior points in common. H. adjacent
I. congruent
5. Two angles are ____ if and only if they are two nonadjacent angles formed by two intersecting lines. A. congruent
B. vertical
6. If two angles are vertical, then they are ____ . C. complementary
D. congruent
7. A right angle is an angle whose degree measure is ____. F. less than 90
G. equal to 90
8. An acute angle is one whose degree measure is ____ . H. less than 90
I. greater than 90
9. An obtuse angle is one whose degree measure is ____ . A. less than 90
B. greater than 90
10. The sum of the degree measures of the angles in a triangle is ____. C. 90
D. 180 B-18
Mission: F.C.A.T.
Name ………………….… Measurement
Use the figure shown below to match the correct answer from the list of words provided. ∠3 ∠5 90° acute
adjacent angle complementary congruent
degree interior obtuse right
E
A
D 3
2 1 C
sides supplementary vertex vertical
4
B
suur suur AB intersects CD
X 5
1. The intersection of the two sides of an angle is called the angle’s _________________. 2. The basic unit by which angles are measured is the ___________________. 3. The figure formed by two rays with the same endpoint is a(n) _________________. 4. An angle with a measure of 90° is called a(n) ________________ angle.
5. An angle whose measure is between 90° and 180° is a(n) __________________angle. 6. Two angles whose measure have a sum of 90° are __________________ angles. 7. Two angles whose measure is between 0° and 90° is a(n) _______________ angle. 8. Two angles having the same measure are said to be _________________. 9. The two rays that form an angle are called the ______________ of the angle. 10. Point D is in the ______________ of ∠EXB. 11. The small box at the vertex of ∠2 indicates that ∠2 measures _________. 12. ∠2 and ∠3 are ______________ angles. 13. ∠1 and ___________ are supplementary angles. 14. ∠4 and ___________ are complementary angles. 15. ∠4 and ∠1 are congruent because they are _____________________ angles.
B-19
Mission: F.C.A.T.
Name ………………….… Measurement
Use the figure at right to find the indicated degree measures.
1. Find m ∠ 5 if m∠ 1 = 45 and m ∠ 2 = 100
1
2. Find m ∠ 6 if m∠ 1 = 55 and m ∠ 2 = 95 3. Find m ∠ 2 if m∠ 1 = 46 and m ∠ 4 = 125
4
2
5
3 7
4. Find m ∠ 3 if m∠ 1 = 71 and m ∠ 5 = 137
6
5. Find m ∠ 1 if m∠ 2 = 24 and m ∠ 3 = 72 6. Find m ∠ 4 if m∠ 1 = 18 and m ∠ 3 = 41
For each of the following figures, find the missing degree measures.
7.
8.
83° x°
40°
9.
x° 58°
12°
10. x° 22°
x°
126°
x°
11.
12. x° 21°
118°
x°
x°
x°
B-20
Mission: F.C.A.T.
Name ………………….… Measurement
Write the correct formula(s) you would use to find the volume of the figures below. Refer to the formula sheet provided to you by your teacher. 1.
6.
2.
7.
3.
8.
4.
9.
5.
10.
B-21
Mission: F.C.A.T.
Name ………………….….… Measurement
Find the perimeter of each polygon below. 3.4 in.
1.
2.
3. 3.2 mm
4.
5.2 in.
4.06 cm
14.6 cm
21.4 cm
6 in.
4.1 in.
2.71 mm
5.
18 ft.
6. 11 ft.
12 ft.
83.1 mm
32.1 cm
36.5 ft.
12.9 cm 14.5 ft.
7.
8.
9. 6 ft.
3.5 cm 2 ft.
18 ft.
4 ft.
10.
24 ft.
11.
22 ft. 20 m
B-22
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. Each square region on the grid represents one square unit. 1.
2.
3.
4.
5.
6.
7. Lake Willbegone, pictured at right, is shrinking due to a drought in Polk County. The area map is the latest sketch of the lake. If each grid represents 1 square mile, what is the approximate area of the lake at this time?
B-23
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. 1.
2.
3.
5.6 mm
7 in.
12 in.
6.2 cm
4.
7.9 mm
5.
2.1 in.
6.
8 in.
0.53 in.
7.
8.
15 cm
9.
32 ft.
3 cm
8m
12 m 7.8 m
9.6 m
56 ft.
14 cm
10 cm
B-24
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. 1.
2.
44 m
4.2 mi. 15 m 3.6 mi. 2.6 mi. 6.8 mi.
16 m
Find the area of each shaded region. 3.
4.
12 ft. 15 ft.
3 in.
3 in.
3 in.
3 in.
3 in.
3 in.
2.25in
8 ft.
20 ft.
5ft. 5 ft.
18 ft.
3 in.
3 in.
B-25
Mission: F.C.A.T.
Name …………………...… Measurement
Find the total surface area of each figure below. 1.
2.
3.
8 cm
10 cm
6 in. 7 cm
11 in. 8 in.
4 cm 6 cm
4.
5.
18 in.
6.
8 in.
20 ft.
6 in.
8 in. 8 in.
7.
40 mm
8.
8 mm 28 m 15 mm
B-26
Mission: F.C.A.T.
Name …………………...… Measurement
1. Puritan Oatmeal containers are made from heavyweight cardboard materials. The cost of the material for the container, bottom, top, and sides, is $0.0012 per square inch. Find the total production cost for the container that measures 7 in. 7 inches high with a diameter of approximately 4.5 inches.
2. A spherical-shaped stainless steel storage unit is being manufactured for storage of liquid oxygen at Kennedy Space Center. If the radius of the planned tank is 18 feet, how much stainless steel would be needed to manufacture the storage tank?
3. Eddie Bauer, Inc. plans to build a replica of a Native American teepee from leather. The teepee is in the shape of a right circular cone, as shown at right. If the designers plan to build the teepee without a floor, how much leather will be needed to sew the teepee? Give your answer in square yards.
4.5 in.
18 ft.
25 ft.
7 ft.
B-27
Mission: F.C.A.T.
Name …………………...… Measurement
Find the volume of each right prism below. 1.
2.
3. 4.5 in. 2.25in.
10 cm
8 cm
7 cm 4 cm 6 cm
4.
5.
6.
15 in.
20 ft.
10 in. 8 in.
8 in.
8 in.
11 cm 7.
8.
2 in. 6 cm 3.5 in. 8 cm
B-28
Measurement 1. Spalding, Inc. is making a mini basketball and needs to figure out how much leather will be needed to completely cover the surface. Find the surface area of the ball if the diameter is 6 inches. A. 36 π in.2 B. 72 π in.2
C. 108 π in.2 D. 144 π in.2
2. A Frisbee has a circumference of 36 π cm. Find the length of the diameter of the Frisbee. F. 6 cm G. 12 cm
H. 18 cm I. 36 cm
3. The Martinez family is planning to tile their kitchen. The dimensions of the kitchen are 15 feet by 8 feet. Each tile has an area of one square foot and the cost of each tile is $4.20, how much will it cost to tile the kitchen?
Answers: 1) A
2) I
3) $504.00 B-1
Mission: F.C.A.T.
Measurement 1. A storage tank in the shape of a sphere holds liquid hydrogen for the Space Shuttle's external tanks at Kennedy Space Center. If the radius of the sphere is 30 feet, how many gallons of hydrogen does it hold if there are 7.48 gallons in 1 cubic foot? (Use π ≈ 3.14) A. 15,112
C. 845,539
B. 113,040
D. 869,538
2. A right cylinder has a total surface area of 471 square centimeters. The radius of the cylinder is 5 centimeters. What is the height in centimeters of the cylinder? 3. Ben is planning a trip to Atlanta. The total number of miles one way is 480. Your average speed is 62 mph. How many hours will it take you to drive to Atlanta? Round your answer to the tenths place.
Answers: 1) C
2) 10
3) 7.7 B-2
Mission: F.C.A.T.
Measurement 1. The fastest insect, a tropical cockroach, can scurry up to 300 feet in a minute. What is its approximate speed in miles per hour? A. B.
0.1 1.1
C. 3.4 D. 10.2
2. What is the perimeter of the figure below?
14 in.
F. 66 inches G. 108 inches Answers: 1) C
H. 132 inches I. 231 inches
2) F B-3
Mission: F.C.A.T.
Measurement 1. Carrie is building a rectangular training area for her new pony. The fence will be 35 12 feet by 28 34 feet. If she builds the fence from wood fencing and wants to make three layers of wood around the fenced area, what is the total linear footage of wood she must order to complete the job? A. 128 12 feet B. 385 12 feet
C. 213 feet D. 1020 85 feet
2. Find the volume, in cubic inches, of the hot water heater if the height is 60 inches and the diameter of the base is 24 inches. Round answer to the nearest whole number. (Use π ≈ 3.14)
60 in.
24 in.
Answers:
1) B
2) 27,130 in.
3
B-4
Mission: F.C.A.T.
Measurement 1. Which formula or formulas would be best for finding the area of this polygon?
2.
A.
A = 12 h ( b1 + b2 )
B.
A = 13 π h
C.
A = 12 b h and A = l • w
D.
A = 12 h ( b1 + b2 ) and A = l • w
If the area of a rectangle is 323 square inches and one side is 17 inches long, how long is the other side? F. 16 inches G. 17 inches Answers: 1) C
H. 18 inches I. 19 inches
2) I B-5
Mission: F.C.A.T.
Measurement The table below shows the top five crude oil production countries for a ten-year period. The United States reported a decrease in crude oil production for the period. What is the percent of decrease in crude oil production for the US? Crude Oil Production, in tons Country 1988 1998 Saudi Arabia 303,637,162 488,560,908 USA 506,660,859 405,562,378 Russian Federation 626,972,627 335,433,332 Iran 128,143,690 206,898,322 Mexico 158,115,534 192,237,581
A. B. C. D.
0.1995% 0.80% 19.95% 24.93%
Answers: C B-6
Mission: F.C.A.T.
Name …………………… Measurement
1.
What is the perimeter of a square with an area of 324 square inches? A. B.
2.
6,400 64,000
8 14
C. D.
16 18
18π in.2 81π in.2
H. I.
162π in.2 324π in.2
18.5 mi. 111.0 mi.
C. D.
1110.3 mi. 11,102.8 mi.
H. I.
5,040 10,080
How many minutes are in one week? F. G.
7.
H. I.
Earth travels 66,617 mi/hr around the sun. About how far does the earth travel in one minute? A. B.
6.
64 640
What is the area of a circle with circumference 18π inches? F. G.
5.
72 in. 162 in.
Margo's recipe calls for 2 14 cups of milk, how many ounces would this be? A. B.
4.
C. D.
How many meters are in 6.4 kilometers? F. G.
3.
18 in. 36 in.
420 1,440
A door is measured by height, width, and thickness. Estimate the width of an average size door. A. B.
100 mm 1m
C. D.
10 m 1 km
B-7
Mission: F.C.A.T.
Name …………………… Measurement
1. The first Ferris wheel, designed by George Ferris, was built in 1893, in Paris, France. The diameter of the Ferris wheel was 76 meters. Approximately what distance would you travel if you rode the first Ferris wheel 5 revolutions? A. 239 meters B. 477 meters
C. D.
1193 meters 2386 meters
2. Katherine needs to build a rectangular pen for her pigs. The pen will be 20 13 feet by 18 34 feet. How much fencing will she need to complete the pen? 1 feet F. 39 12
H. 360 14 feet
G. 78 16 feet
I. 381 14 feet
3. A carton holds 12 cans of orange juice. If each can has a height of 7 centimeters and a diameter of 4.2 centimeters, how much paper is needed to make labels for the 12 cans? Use π ≈ 3.14 A. B.
92.4 sq. cm. 184.8 sq. cm.
C. D.
1107.8 sq. cm. 2217.6 sq. cm.
4. A cookie recipe calls for 3 12 cups of flour and makes 5 dozen cookies. You want to reduce the recipe to make 3 dozen cookies. How much flour do you need? F.
1 2
H.
1 2 10
G.
1 12
I.
2 12
5. A girl scout troop hiked 38 miles over three days in the Smoky Mountains. The first day, they hiked 1 mile less than 3 times as far as on the second day. The third day, they hiked 2 miles less than on the first day. How far did they hike the first day? A. 6 miles B. 15 miles
C. D.
17 miles 18 miles B-8
Mission: F.C.A.T.
Name …………………… Measurement
1. The table below shows the ten tallest mountains in the world. According to the data, which of the following statements is NOT true? Ten Highest Mountains mountain
A. B. C. D. 2.
height
location
Mount Everest
29,034 ft.
Nepal / China (Tibet)
Qogir (K2)
28,250 ft.
Pakistan (Kashmir)
Kangchenjunga
28,208 ft.
Nepal / China (Tibet)
Makalu I
27,824 ft.
Nepal / China (Tibet)
Dhaulagiri
26,810 ft.
Nepal
Manaslu I
26,760 ft.
Nepal
Cho Oyu
26,750 ft.
Nepal / China (Tibet)
Nanga Parbat
26,660 ft.
Pakistan (Kashmir)
Annapurna I
26,504 ft.
Nepal
Gasherbrum
26,470 ft.
Kashmir
All of the mountains fall between 5.013 and 5.499 miles in height. 70% of the mountains are located in Nepal. Gasherbrum is at least 5.25 miles high. Mount Everest and Qogir are at least 5.25 miles high.
The world’s largest dam, built in 1985, is Rogun. Located in Tajikistan, it measures 335 meters in height. The Hoover Dam, built in 1936, ranks 21st in the world and measures 223 meters in height. The Hoover dam is what percent smaller than the Rogun dam? Round your answer to the nearest percent. F. 66%
G. 67%
H. 150%
I.
151%
3. Mike jogs 5 miles each afternoon while training for the cross country team at Washington High School. Coach Morrow times his run to record his progress. If Mike’s last run took him 26 minutes 15 seconds, how long did it take for Mike to run 1 mile? A. 5.23 minutes B. 5.25 minutes
C. D.
11.4 minutes 11.47 minutes B-9
Mission: F.C.A.T.
Name …………………… Measurement
1. A cubic foot of water is approximately 7.481 gallons. Which container below requires approximately 3000 gallons of water?
A.
C.
10 ft.
8 ft.
6 ft.
6 ft.
12 ft.
8 ft.
B.
D. 8 ft.
8 ft. 2 ft.
8 ft. 8 ft.
2. The Beautification Committee of a local town has decided to construct a bench around a very large oak tree located in the center of town. The diameter of the tree is 36 inches and the bench is to be 14 inches wide. Find the total area of the bench rounded to the nearest whole number. Use π ≅ 3.14
F. G. H. I.
14 in.
36 in.
13 inches squared 44 inches squared 2,198 inches squared 3,781 inches squared
B-10
Mission: F.C.A.T.
Name …………………… Measurement
1. A neighborhood park needs to be fenced in. The shape of the park is a pentagon and looks like the figure below. Given the dimensions on the figure determine to the nearest foot the length of fence needed to complete the project. 20 ft.
20 ft.
12 ft.
12 ft. 18 ft.
2. If the area of the given trapezoid is 150 square centimeters, find the height in centimeters. 9 cm
6 cm
3. Tom’s family is having new carpet installed in their family room. Given the diagram of the room, determine the total area that will be carpeted. 32 ft. 8 ft.
4 ft.
7 ft. 6 ft. 5 ft.
B-11
Mission: F.C.A.T.
Name …………………… Measurement
1. How many square yards of carpet are needed to carpet a 23 foot by 15 foot living room?
2. A right cylinder has a total surface area of 471 square centimeters. The radius of the cylinder is 5 centimeters. What is the height in centimeters of the cylinder?
3. A cake recipe calls for 2 cups of sugar for every 5 cups of flour. If 8 cups of sugar were used, then how many cups of flour were needed?
B-12
Mission: F.C.A.T.
Name …………………… Measurement
1. A circular spinner used for a board game is divided into six equal sectors. If the radius of the spinner is 3 inches find the area of each sector.
2. A stop sign is in the shape of an octagon. What is the measure in degrees of each interior angle of the stop sign?
3. To the nearest cubic foot, find the volume of the figure shown below. 6 ft.
8 ft.
4 ft.
B-13
Mission: F.C.A.T.
Name ………………….… Measurement
1.
Tiffany traveled 182 miles in 3.25 hours. What was her rate of travel? A. 54 mph
2.
H. 3.69
I. 3.75
B. $9.54
C. $92.82
D. $104.13
G. 3.9 hours
H. 3.87 hours
I. 3.88 hours
If Cricket types 2,100 words in 30 minutes, how many words per minute does she type? A. 65
6.
G. 3.50
How long will it take a car averaging 62 mph to make a 240 mile trip? Round your answer to the nearest tenth. F. 3.8 hours
5.
D. 57 mph
Leah worked as a temporary employee for 3 12 hours on Saturday morning. She was paid $29.75. What was her hourly rate of pay? A. $8.50
4.
C. 56 mph
Tampa is located 240 miles from Jacksonville. If Glen travels at an average rate of 65 miles per hour, how many hours will it take him to travel from Tampa to Jacksonville? Round your answer to the nearest quarter of an hour. F. 3.25
3.
B. 55 mph
B. 70
C. 1,050
D. 63,000
A hiking party is descending Rocky Pass at a rate of 400 feet of altitude per hour. If they started at 9,420 feet above sea level, how long, to the nearest hour, will it take them to reach their base camp at an altitude of 5,000 feet? F. 11 hours
G. 12 hours
H. 23 hours
I. 24 hours
B-14
Mission: F.C.A.T.
Name …………………...… Measurement
1. The World Almanac reports that the average American will throw away 5 pounds of aluminum soda cans, 72 pounds of tin cans, 80 pounds of glass bottles, and 90 pounds of plastic containers. All of these items are recyclable and need not be thrown out. What part of a ton does the average family of four produce in one year? A. B.
0.12 0.49
C. D.
0.50 0.53
2. Hurricane Inez is being tracked by a weather satellite. The satellite shows Inez is 768 miles southeast of the Grand Bahamas. It is moving directly toward Freeport, Grand Bahamas, in a northwest direction at 12 miles per hour. If the hurricane stays on its present course, how many days will it take for Inez to reach Freeport? N
F. G.
less than 2 days between 2 and 3 days
H. I.
between 3 and 4 days 64 days
3. Suppose one cube has a side length of 2 inches and a second cube has a side length of 4 inches. What is the ratio of the volume of the smaller cube to the volume of the larger cube?
4 in.
2 in. A.
1 8
B.
2 4
C.
1 2
D.
8 1
B-15
Mission: F.C.A.T.
Name …………………...… Measurement
1. The diameter of Jupiter at the equator is 88,734 miles. Using π ≅ 3.14, find the circumference of Jupiter to the nearest mile. A. B.
139,382 139,383
C. D.
278,624 278,625
2. If a circle has a circumference of 6.4 cm, what is the diameter of the circle to the nearest 0.1 cm? Use π ≅ 3.14 F. G.
0.2 2.0
H. I.
2.04 20.1
3. Find the circumference of a wall clock whose diameter is 18 inches. Give your answer to the nearest half inch. Use π ≈ 3.14
18 in.
4. Miriam wants to stencil a border over her entry door transom. If her stencil is 9 inches long, how many times will she have to use the stencil in order to go across the top of the transom only.
6 ft.
A. B.
25 26
C. D.
29 33 B-16
Mission: F.C.A.T.
Name …………………...… Measurement
1. The Petronas Towers in Kuala Lumpur measure 1,483 feet tall. However, measuring in feet makes it difficult for people to really understand the tremendous height of the building. To grasp its enormous size you could relate the feet measurement to the portion of a mile the building reaches into the sky. Calculate the measurement to the nearest tenth of a mile for the Petronas Tower buildings.
2. A sheet of plywood measures 4 feet by 8 feet. How many square inches are in the plywood? A. B.
32 384
C. D.
1,152 4,608
3. A party is being planned for 25 students. Each student is to get three 16-ounce glasses of lemonade. How many gallons of lemonade should be ordered? F. G.
6 9
H. I.
10 12
4. A rectangular family room measures 18 ft. by 22 ft. How many square yards of carpet are required to cover the floor? A. B.
15 33
C. D.
40 44
5. Tommy Ticker’s heart beats an average of 70 times per minute, how many times does it beat in a day? F. G.
1,680 4,200
H. I.
50,400 100,800
B-17
Mission: F.C.A.T.
Name ………………….… Measurement
Choose one. 1.
Two angles are complementary if and only if the sum of their degree measures is ___. A. 90
2.
B. 180
Two angles are supplementary if and only if the sum of their degree measures is ___. C. 90
D. 180
3. Two angles form a ____ if and only if they are adjacent and their noncommon sides are opposite rays. F. linear pair 4.
G. vertical pair
Two angles in the same plane are ____ if and only if they have a common side and a common vertex, but no interior points in common. H. adjacent
I. congruent
5. Two angles are ____ if and only if they are two nonadjacent angles formed by two intersecting lines. A. congruent
B. vertical
6. If two angles are vertical, then they are ____ . C. complementary
D. congruent
7. A right angle is an angle whose degree measure is ____. F. less than 90
G. equal to 90
8. An acute angle is one whose degree measure is ____ . H. less than 90
I. greater than 90
9. An obtuse angle is one whose degree measure is ____ . A. less than 90
B. greater than 90
10. The sum of the degree measures of the angles in a triangle is ____. C. 90
D. 180 B-18
Mission: F.C.A.T.
Name ………………….… Measurement
Use the figure shown below to match the correct answer from the list of words provided. ∠3 ∠5 90° acute
adjacent angle complementary congruent
degree interior obtuse right
E
A
D 3
2 1 C
sides supplementary vertex vertical
4
B
suur suur AB intersects CD
X 5
1. The intersection of the two sides of an angle is called the angle’s _________________. 2. The basic unit by which angles are measured is the ___________________. 3. The figure formed by two rays with the same endpoint is a(n) _________________. 4. An angle with a measure of 90° is called a(n) ________________ angle.
5. An angle whose measure is between 90° and 180° is a(n) __________________angle. 6. Two angles whose measure have a sum of 90° are __________________ angles. 7. Two angles whose measure is between 0° and 90° is a(n) _______________ angle. 8. Two angles having the same measure are said to be _________________. 9. The two rays that form an angle are called the ______________ of the angle. 10. Point D is in the ______________ of ∠EXB. 11. The small box at the vertex of ∠2 indicates that ∠2 measures _________. 12. ∠2 and ∠3 are ______________ angles. 13. ∠1 and ___________ are supplementary angles. 14. ∠4 and ___________ are complementary angles. 15. ∠4 and ∠1 are congruent because they are _____________________ angles.
B-19
Mission: F.C.A.T.
Name ………………….… Measurement
Use the figure at right to find the indicated degree measures.
1. Find m ∠ 5 if m∠ 1 = 45 and m ∠ 2 = 100
1
2. Find m ∠ 6 if m∠ 1 = 55 and m ∠ 2 = 95 3. Find m ∠ 2 if m∠ 1 = 46 and m ∠ 4 = 125
4
2
5
3 7
4. Find m ∠ 3 if m∠ 1 = 71 and m ∠ 5 = 137
6
5. Find m ∠ 1 if m∠ 2 = 24 and m ∠ 3 = 72 6. Find m ∠ 4 if m∠ 1 = 18 and m ∠ 3 = 41
For each of the following figures, find the missing degree measures.
7.
8.
83° x°
40°
9.
x° 58°
12°
10. x° 22°
x°
126°
x°
11.
12. x° 21°
118°
x°
x°
x°
B-20
Mission: F.C.A.T.
Name ………………….… Measurement
Write the correct formula(s) you would use to find the volume of the figures below. Refer to the formula sheet provided to you by your teacher. 1.
6.
2.
7.
3.
8.
4.
9.
5.
10.
B-21
Mission: F.C.A.T.
Name ………………….….… Measurement
Find the perimeter of each polygon below. 3.4 in.
1.
2.
3. 3.2 mm
4.
5.2 in.
4.06 cm
14.6 cm
21.4 cm
6 in.
4.1 in.
2.71 mm
5.
18 ft.
6. 11 ft.
12 ft.
83.1 mm
32.1 cm
36.5 ft.
12.9 cm 14.5 ft.
7.
8.
9. 6 ft.
3.5 cm 2 ft.
18 ft.
4 ft.
10.
24 ft.
11.
22 ft. 20 m
B-22
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. Each square region on the grid represents one square unit. 1.
2.
3.
4.
5.
6.
7. Lake Willbegone, pictured at right, is shrinking due to a drought in Polk County. The area map is the latest sketch of the lake. If each grid represents 1 square mile, what is the approximate area of the lake at this time?
B-23
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. 1.
2.
3.
5.6 mm
7 in.
12 in.
6.2 cm
4.
7.9 mm
5.
2.1 in.
6.
8 in.
0.53 in.
7.
8.
15 cm
9.
32 ft.
3 cm
8m
12 m 7.8 m
9.6 m
56 ft.
14 cm
10 cm
B-24
Mission: F.C.A.T.
Name …………………...… Measurement
Find the area of each figure below. 1.
2.
44 m
4.2 mi. 15 m 3.6 mi. 2.6 mi. 6.8 mi.
16 m
Find the area of each shaded region. 3.
4.
12 ft. 15 ft.
3 in.
3 in.
3 in.
3 in.
3 in.
3 in.
2.25in
8 ft.
20 ft.
5ft. 5 ft.
18 ft.
3 in.
3 in.
B-25
Mission: F.C.A.T.
Name …………………...… Measurement
Find the total surface area of each figure below. 1.
2.
3.
8 cm
10 cm
6 in. 7 cm
11 in. 8 in.
4 cm 6 cm
4.
5.
18 in.
6.
8 in.
20 ft.
6 in.
8 in. 8 in.
7.
40 mm
8.
8 mm 28 m 15 mm
B-26
Mission: F.C.A.T.
Name …………………...… Measurement
1. Puritan Oatmeal containers are made from heavyweight cardboard materials. The cost of the material for the container, bottom, top, and sides, is $0.0012 per square inch. Find the total production cost for the container that measures 7 in. 7 inches high with a diameter of approximately 4.5 inches.
2. A spherical-shaped stainless steel storage unit is being manufactured for storage of liquid oxygen at Kennedy Space Center. If the radius of the planned tank is 18 feet, how much stainless steel would be needed to manufacture the storage tank?
3. Eddie Bauer, Inc. plans to build a replica of a Native American teepee from leather. The teepee is in the shape of a right circular cone, as shown at right. If the designers plan to build the teepee without a floor, how much leather will be needed to sew the teepee? Give your answer in square yards.
4.5 in.
18 ft.
25 ft.
7 ft.
B-27
Mission: F.C.A.T.
Name …………………...… Measurement
Find the volume of each right prism below. 1.
2.
3. 4.5 in. 2.25in.
10 cm
8 cm
7 cm 4 cm 6 cm
4.
5.
6.
15 in.
20 ft.
10 in. 8 in.
8 in.
8 in.
11 cm 7.
8.
2 in. 6 cm 3.5 in. 8 cm
B-28
