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(8 Weeks = 40 School Days)
GRADE 10
Mathematics Weighted Benchmark Item Bank
STUDENT COPY
Regional Center II
Ms. Enid Weisman, Regional Superintendent Miami-Dade County Public Schools
FCAT MATH
Countdown for Grade 10
BIG 6
Short and Extended Response Benchmarks
Student Copy
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Short Response Benchmarks
Benchmark
Description Type of
Response Value
(Rubric)
MA.B.1.4.1 Uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two and three-dimensional shapes, including rectangular solids, cylinders, cones, and pyramids. (Also assesses B.1.2.2 and B.1.4.2
SR
2 pts
MA.C.3.4.2
Using a rectangular coordinate system (graph), applies and algebraically verifies properties of tow-and three-dimensional figures, including distance, midpoint, slope, parallelism, and perpendicularity. (Also assesses C.3.3.2 and D.2.4.1)
SR
2 pts
MA.D.1.4.2 Determines the impact when changing parameters of given functions.
SR 2 pts
MA.D.2.4.2
Uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and with matrices. (Also assesses D.2.3.1, D.2.3.2, and D.2.4.1)
SR
2 pts
Extended Response Benchmarks
Benchmark
Description Type of
Response Value
(Rubric)
MA.C.2.4.1 Understands geometric concepts such as perpendicularity, parallelism, tangency, congruency, similarity, reflections, symmetry, and transformations including flips (reflections), slides (translations), turns (rotations), enlargements, rotations, and fractals. (Also assesses B.1.4.3, C.1.4.1, and C.3.4.1)
ER
4 pts
MA.E.1.4.1
Interprets data that has been collected, organized, and displayed in charts, tables, and plots. (Also assesses E.1.3.1 and E.1.4.3)
ER
4 pts
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Grade 10 Strand B - MAB.1.4.1
1) MA.B.1.4.1 Short Response
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Grade 10 Strand B - MAB.1.4.1
2) MA.B.1.4.1 Short Response
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Strand B - MA.B.1.4.1 3) MA.B.1.4.1 Rosa Maria has made models of a rectangular solid and a square pyramid, each with a hinged base, so that she can open the models. The bases of the figures are congruent, and the heights of the figures are equal. Part A How would Rosa Maria find the volume of each figure in cubic centimeters? Part B Suppose Rosa Maria opens the base of the pyramid and fills it with sand. If she then pours the sand into the rectangular solid, how much of the solid will be filled?
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4) MA.B.1.4.1 A soda can has a height of 12 centimeters and diameter of 6 centimeters.
12 cm.
6cm
Part A Explain how to find the total surface area of the soda can. Then calculate the surface area. Part B It costs $0.0001 for every square centimeter of the metal used to make the can. Explain and find how much the production of one can costs.
5) MA.B.1.4.1 The liquid in a cylindrical glass with height 12 centimeters and diameter 6 centimeters is poured into a rectangular pan with length 12 centimeters, width 5 centimeters, and height 6 centimeters as shown. Part A Find the volume of the cylindrical glass and of the pan. Explain your procedure. Part B Will the pan overflow?
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6) MA.B.1.4.1 A mold for a waffle cone with diameter 10 cm and height 12 cm is shown below.
Part A Find the surface area of the mold. Explain how you arrived at your answer. Part B An ice cream shop first fills the cone half full of batter to make a cone. Explain how to find how many cubic centimeters of batter are used. Then find this amount.
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7) MA.B.1.4.1 Paulo owns a house in Tampa. He is deciding which of the square tiles shown below he will use to tile his kitchen floor. The large tile is twice as long as the small tile. Part A Write an expression in terms of x for the length of each side of the large tile. Part B How many times greater is the floor space covered by the large tile than that covered by the small tile? Use an example to support your claim.
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STRAND C MA.C.2.4.1 1) MA.C.2.4.1 Extended Response
2) MA.C.2.4.1 Extended Response
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Strand C MA.C.2.4.1 Extended Response 3) MA.C.2.4.1 An architect has designed a skywalk between two wings of a hotel. The two beams that support the skywalk meet at the midpoint A of the skywalk, as shown in the figure.
Part A Explain in geometric terms why ABC is congruent to ADE. Part B Use the Pythagorean Theorem to write an equation that can be used to find the length x. Part C Solve the equation to find the length, in meters, of the support beams. Be sure to show your work.
4) MA.C.2.4.1 Brenda is a surveyor who wants to find the distance x across a swampy region in the Everglades. She knows that ABC and DEC are similar triangles. Part A Write a proportion to solve for x. Why can you write this proportion? Part B Solve the proportion for x.
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STRAND C MA.C.3.4.2
1) MA.C.3.4.2 Short Response
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Strand C MA.C.3.4.2 Short Response 2) MA.C.3.4.2 Bernice is designing a computer game that involves a treasure hunt. Positions of the players and the treasure are described by using a coordinate system. A player is located at A(–6, 9.9) and is told to head straight for B(–2, 4.3).
Part A What is the slope of ? Show your work. Part B The treasure is located at C (10, –12.5). If the player continues moving along line AB after going through B, will he or she reach the treasure? Use slope to justify your answer.
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3) MA.C.3.4.2 The senior class has $500 in its treasury. It expects to add to its treasury when it collects a graduation fee for each senior, as shown in the graph.
Part A Determine the slope of the line joining the points on this graph. Be sure to show your work. Part B Explain what the slope represents.
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4) MA.C.3.4.2 The graph represents a cell phone service’s costs. The cost is $30 for up to 100 minutes of use. The cost is then increased for every minute of use beyond 100 minutes.
Part A Determine the cost for each additional minute over 100 minutes and explain your procedure. Part B Determine the total cost for using 160 minutes and explain how you arrived at your answer.
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1) MA.D.1.4.2 Short Response
Strand D MA.D.1.4.2 Short Response 2) MA.D.1.4.2 The Minito’s have a garden in Pensacola. They would like to enlarge the garden by increasing the length but not the width. The present dimensions of the garden are shown in the figure. If the Minito’s want to increase the garden area by one-third, what size addition should they make to the present garden? Be sure to show all your steps.
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3) MA.D.1.4.2 An equilateral triangle has sides x units long. Suppose the length of each side of the triangle is doubled. How does doubling the length of all the sides affect the perimeter of the triangle?
4) MA.D.1.4.2 The Florida State Seminole’s football coach is not happy about the amount of fluids his players are receiving on the sidelines. The figure represents the current cylindrical fluid container. For a certain price, Company A offered a container with double the height. For the same price, Company B offered a container with double the radius.
Explain which company the football coach should choose. Be sure to determine the volume for each container.
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5) MA.D.1.4.2 Calvin is trying to decide how to design a garden of maximum area with a given amount of fencing. He has 200 feet of fencing and has to decide between Plan A, a square, and Plan B, a circle.
Which plan should Calvin choose and why? Determine the dimensions and area of Plan A and the radius and area of Plan B. (Use 3.14 for π.)
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6) MA.D.1.4.2 A manufacturing company makes two cylindrical popcorn containers. The larger container is twice as wide as the smaller container, but the containers have the same height. Use the formula for the volume of a cylinder to find how much more popcorn the larger container holds. Be sure to show all your work.
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1) MA.D.2.4.2 Short Response
Grade 10 Strand D - MAD.2.4.2
2) MA.D.2.4.2 Short Response
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Strand D MA.D.2.4.2 Short Response 3) MA.D.2.4.2 Carlos has two bank accounts. He has seven times as much in his savings account as in his checking account. In all, he has $3,200 in the bank. Part A Write a system of equations that you could solve to find how much money Carlos has in each account. Let x be the amount in the savings account, and let y be the amount in the checking account. Part B Solve the system of equations to find how much money Carlos has in each account.
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4) MA.D.2.4.2 Dana has a jar filled with dimes and nickels. There are 356 coins in the jar. When she counted the money, she had a total of $33.30. Part A Write a system of two equations that could be used to find the numbers of dimes and nickels Dana had in the jar. Let x = the number of dimes and y = the number of nickels.
Part B Solve the system of equations to determine how many dimes and nickels Dana had in the jar.
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STRAND E MA.E.1.4.1 1) MA.E.1.4.1 Extended Response
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2) MA.E.1.4.1 Extended Response
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STRAND E MA.E.1.4.1 Extended Response 3) MA.E.1.4.1 A long-distance telephone company, Company A, published a table to compare the cost of its long distance plan to those of two other competitors, Company B and Company C.
Company
A
B
C
Per Minute Rate
(cents)
12.8
13
13.2
Part A Use the data to draw a bar graph showing each company’s per minute rate. Part B How much money would you save by using Company A rather than Company B for 62 minutes of billable calls?
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4) MA.E.1.4.1
The table shows the numbers of weeks of vacation from her job Ms. Alvarez was able to take over a ten-year period. Year 1991 1992 1993 1994 1995 Number of Weeks 2 3 4 5 9
Year 1996 1997 1998 1999 2000 Number of Weeks 2 0 2 4 6
Part A Make a scatter plot of the data. Use the numbers 1 through 10 on the horizontal axis to represent the years. Part B Ms. Alvarez changed jobs in 1996. How is this reflected in the data? Part C Use the graph to make a prediction as to how many weeks of vacation Ms. Alvarez had in 2001.
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All practice problems used were taken from the State of Florida’s released FCAT tests, Item Specifications, and/or the ExamView’s test bank for Grade 10 math.
FCAT Countdown
Review for Strand A
Number Sense, Concepts, and Operations
Benchmark Description Value Response
MA.A.1.4.4
Understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, absolute value, and logarithms. (Also assesses A.1.4.1 and A.1.4.3)
2 pt MC, GR
MA.A.3.4.3
Adds, subtracts, multiplies, and divides real numbers, including square roots and exponents, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. (Also assesses A.2.4.2)
4 pt MC, GR
MA.A.4.4.1 Uses estimation strategies in complex situations to predict results and to check the reasonableness of results. (Also assesses A.4.2.1 and B.3.4.1)
2 pt MC
Grade 10
Student Copy
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Grade 10 Strand A - MAA.1.4.4
1) MA.A.1.4.4 Equivalent forms of numbers
2) MA.A.1.4.4
3) MA.A.1.4.4
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4) MA.A.1.4.4
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5) MA.A.1.4.4
6) MA.A.1.4.4
7) MA.A.1.4.4 The probability that a student will answer 6 multiple-choice questions correctly by guessing is
How is this probability expressed in standard form? A 0.0064 B 0.00064 C 0.000064 D 0.0000064
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8) MA.A.1.4.4 Chris folded a rectangular sheet of paper along its diagonal. He calculated that the length of the diagonal was 4 times the square root of 41 inches. Which is equivalent to this length? A
square inches
B square inches
C
square inches
D square inches 9) MA.A.1.4.4 Which fraction is equivalent to a repeating decimal? F
G
H
I
10) MA.A.1.4.4 The probability that a student will answer 6 multiple-choice questions correctly by guessing is
How is this probability expressed in standard form? A 0.0064 B 0.00064 C 0.000064 D 0.0000064
11) MA.A.1.4.4
The expression represents accrued 8% interest on the principal p. Which fraction is equivalent to 1.08? F
G
H
I
12) MA.A.1.4.4
Which point on the number line is closest to
A L B M C N D O
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Grade 10 Strand A - MAA.3.4.3
1. MA.A.3.4.3 Solving real-world problems
2) MA.A.3.4.3
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3) MA.A.1.4.4
4) MA.A.1.4.4
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5) MA.A.3.4.3 solving real-world problems involving fractions/decimals
6) MA.A.3.4.3
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7) MA.A.3.4.3 percent of increase/decrease
8) MA.A.3.4.3
9) MA.A.3.4.3 Solving real-world problems involving scientific notation
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10) MA.A.3.4.3 Solving real-world problems involving measurement
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Grade 10 Strand A - MAA.4.4.1
1) MA.A.4.4.1 Number estimate
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2) MA.A.4.4.1
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3) MA.A.4.4.1
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4) MA.A.4.4.1 The cylindrical fuel tank shown below has a volume of 18,000 gallons. The shaded region below shows the amount of fuel in the tank.
Which is closest to the amount of fuel in the tank? F 18,000 gallons G 6,000 gallons H 3,000 gallons I 1,000 gallons 5) MA.A.4.4.1 The cylindrical storage tank shown below has a capacity of 8,000 gallons. The shaded region shows the amount of liquid in the tank.
Which is closest to the amount of liquid in the tank? A 8,000 gallons B 4,000 gallons C 3,000 gallons D 1,000 gallons
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6) MA.A.4.4.1 The spherical aquarium has a capacity of 20 gallons. The shaded region shows the amount of water in the aquarium.
Which is closest to the amount of water in the aquarium? F 30 quarts G 40 quarts H 60 quarts I 80 quarts 7) MA.A.4.4.1 In the United States, 41 million households combined own a total of approximately 65 million pet dogs. More specific information about the number of pet dogs in households is shown in the graph below.
Which is closest to the number of households in the United States that own 2 or more pet dogs? A 4 million B 9 million C 14 million D 33 million
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FCAT Countdown
Review for Strand B
Measurements
Benchmark Description Value Response
MA.B.1.4.1
Uses concrete and graphic models to drive formulas for finding perimeter, area, surface area, circumference, and volume of two and three-dimensional shapes, including rectangular solids, cylinders, cones, and pyramids (Also assesses B.1.2.2 and B.1.4.2)
4 pt MC, GR, *SR
MA.B.1.4.2 Uses concrete and graphic models to derive formulas for finding rate, distance, time, angle measures, and arc lengths. (Also assesses B.1.2.2)
3 pt MC, GR
MA.B.2.4.1 Selects and uses direct (measured) or indirect (not measured) methods of measurement as appropriate.
2 pt MC
Grade 10
Student Copy * Extended and short response items are in a separate review guide
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Grade 10 Strand B - MAB.1.4.1
1) MA.B.1.4.1 Area
2) MA.B.1.4.1 Volume
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3) MA.B.1.4.1 Volume
4) MA.B.1.4.1 Area
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5) MA.B.1.4.1 Volume
6) MA.B.1.4.1
7) MA.B.1.4.1
8) MAB.1.4.1 A water sprinkler rotates in a circular pattern with a radius of 8 feet. If the sprinkler stops 60º short of completing the circular pattern, what is the approximate area of the watered region? A 33.49 square feet B 41.87 square feet C 167.47 square feet D 200.96 square feet 9) MA.B.1.4.1 The base of a right cone and the base of a right circular cylinder have equal areas. The height of the cylinder is 4 times the height of the cone. Which expression correctly compares the volume of the cylinder and the volume of the cone? F
The volume of the cylinder is the volume of the cone. G
The volume of the cylinder is the volume of the cone. H The volume of the cylinder is 4 times the volume of the cone. I The volume of the cylinder is 12 times the volume of the cone.
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10) MA.B.1.4.1 Thomas is going to paint the outside of a cylindrical grain silo. He only needs to paint the lateral surface and roof.
If the radius of the roof is x feet and the silo is y feet in height, which expression represents the total area Thomas needs to paint? A B
C
D
11) MA.B.1.4.1 Shannon has a candle that is a right rectangular prism as shown below.
What volume, in cubic inches, is left after Shannon burns of her candle? F 12 G 18 H 36 I 54
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12) MA.B.1.4.1 The surface area of Cube A is 54 square inches. Each edge of Cube B is 1 inch longer than each edge of Cube A. What is the difference between the surface area of Cube A and the surface area of Cube B, in square inches? A 6 B 36 C 42 D 46 13) MA.B.1.4.1 A soccer field is 80 yards wide and 120 yards long. A circular area located in the middle of the field has a circumference of A diagram of a soccer field is shown below.
What is the area, in square yards, of the portion of the field that is outside of the circular area? A B C D 14) MA.B.1.4.1 A gardener has a circular garden with a radius of 9 feet. The gardener wants to build a walkway around the garden that is 4 feet wide.
What will the area of the walkway be, in square feet? F G H I
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Grade 10 Strand A - MAB.1.4.2
1) MA.B.1.4.2 Distance
2) MA.B.1.4.2
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3) MA.B.1.4.2 Rate
4) MA.B.1.4.2 Arc Lengths
5) MA.B.1.4.2 Rate
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6) MA.B.1.4.2 Angle Measures
7) MA.B.1.4.2 Rate/Distance/Time
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8) MA.B.1.4.2 Rate/Distance/Time
9) MA.B.1.4.2 A telephone pole was damaged so that it no longer was perpendicular to the ground. If the pole is at a 49º angle from the ground, which measure describes the angle of correction needed to make the pole perpendicular to the ground? A 31º B 41º C 49º D 131º 10) MA.B.1.4.2 An air vent in Edward’s car can swivel upward or downward for optimal circulation. When the air in the vent is blowing straight forward, the vent is measured at an angle of 0º. If the maximum downward angle of the vent is 50º and the maximum upward angle is 60º, what is the total swivel angle of the vent? F 10º G 55º H 110º I 120º
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Grade 10 Strand B - MAB.2.4.1
1) MA.B.2.4.1 Indirect measurement
2) MA.B.2.4.1 Indirect measurement
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3) MA.B.2.4.1 Indirect measurement
4) MA.B.2.4.1 Indirect measurement
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5) MA.B.2.4.1
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6) MA.B.2.4.1
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FCAT Countdown
Review for Strand C Geometry and Spatial Sense
Benchmark Description Value Response
MA.C.1.4.1 Uses properties and relationships of geometric shapes to construct formal and informal proofs. (Also assesses C.1.2.1 and C.1.3.1)
2 pt MC, GR
MA.C.2.4.1
Understands geometric concepts such as perpendicularity, parallelism, tangency, congruency, similarity, reflections, symmetry, and transformations including flips (reflections), slides (translations), turns (rotations), enlargements, rotations, and fractals. (Also assesses B.1.4.3, C.1.4.1, and C.3.4.1)
6 pt MC, GR, *ER
MA.C.3.4.1
Represents and applies geometric properties and relationships to solve real-world and mathematical problems including ratio, proportion, and properties of right triangle trigonometry. (Also assesses C.2.4.1)
2 pt MC, GR
MA.C.3.4.2
Using a rectangular coordinate system (graph), applies and algebraically verifies properties of two- and three- dimensional figures, including distance, midpoint, slope, parallelism, and perpendicularity. (Also assesses C.3.3.2 and D.2.4.1)
3 pt MC, GR
Grade 10
Student Copy * Extended and short response items are in a separate review guide
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Grade 10 Strand C - MAC.1.4.1
1) MA.C.1.4.1 Properties of circles
2) MA.C.1.4.1 Interior angles of a polygon
3) MA.C.1.4.1 Properties of polygons
4) MA.C.1.4.1 Regular polygons
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5) MA.C.1.4.1 Measurement of angles
6) MA.C.1.4.1
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7) MA.C.1.4.1
8) MA.C.1.4.1 Which statement justifies that the angle below has a measure of 45º?
F An exterior angle and an interior angle that form a linear pair in a regular polygon
must always have a sum of 360º. G The sum of the interior angles of any regular polygon is 360º; therefore, each
exterior angle is 45º. H The sum of the exterior angles in any regular polygon is equal to the quotient
when 360º is divided by the number of sides in that polygon. I The sum of the exterior angles of any regular polygon is 360º; therefore, each
exterior angle of the regular octagon is of 360º.
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9) MA.C.1.4.1 In the figure below, line l and line n are parallel lines intersected by line p.
Which of these pairs of angles MUST be congruent? A B C D
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Grade 10 Strand C - MAC.2.4.1
1) MA.C.2.4.1 Supplementary angles
2) MA.C.2.4.1 Properties of polygons
3) MA.C.2.4.1 Similarity
4) MA.C.2.4.1
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5) MA.C.2.4.1
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6) MA.C.2.4.1 Similarity
7) MA.C.2.4.1 Similarity
8) MA.C.2.4.1 Identifying planar cross sections
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9) MA.C.2.4.1
10) MA.C.2.4.1
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Grade 10 Strand C - MAC.3.4.1
1) MA.C.3.4.1 Pythagorean theorem
2) MA.C.3.4.1 Similarity
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3) MA.C.3.4.1 Transformations
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4) MA.C.3.4.1 Similarity
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5) MA.C.3.4.1 Pythagorean theorem
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6) MA.C.3.4.1
7) MA.C.3.4.1
8) MA.C.3.4.1
The vertices of the triangle shown below are located at and
Which is closest to the measure of the hypotenuse of the triangle? F 6 units G 13 units H 18 units J 72 units
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Grade 10 Strand C - MAC.3.4.2
1) MA.C.3.4.2 Parallelism
2) MA.C.3.4.2 slope
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3) MA.C.3.4.2 Parallelism
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4) MA.C.3.4.2
5) MA.C.3.4.2
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6) MA.C.3.4.2
In the triangle below, joins the midpoints of two sides of the triangle.
If is 12 inches long, what is the length of ? A 3 inches B 4 inches C 6 inches D 8 inches
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7) MA.C.3.4.2
In the figure below, connects the midpoints of two sides of
If is 8 units long and Point P is located at (0.5, –1.5), what are the coordinates of Point Q? F
G
H
J
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8) MA.C.3.4.2 In the figure below, joins the midpoints of two sides of
If is 4 units long, what is the length of ? A 5 units B 6 units C 8 units D 20 units
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FCAT Countdown
Review for Strand D Algebraic Thinking
Benchmark Description Value Response
MA.D.1.4.1 Describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs.
5 pt MC, GR
MA.D.1.4.2 Determines the impact when changing parameters of given functions. 4 pt MC, GR, *SR
MA.D.2.4.2
Uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and with matrices. (Also assesses D.2.3.1, D.2.3.2, and D.2.4.1)
5 pt MC, GR, *SR
Grade 10
Student Copy * Extended and short response items are in a separate review guide
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Grade 10 Strand D - MAD.1.4.1
1) MA.D.1.4.1 graphic pattern
2) MA.D.1.4.1 numerical pattern
3) MA.D.1.4.1 numerical pattern
4) MA.D.1.4.1 generalizing relationships
5) MA.D.1.4.1
6) MA.D.1.4.1 graphic patterns
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7) MA.D.1.4.1 functions
8) MA.D.1.4.1
9) MA.D.1.4.1 number sequences
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10) MA.D.1.4.1 functions
11) MA.D.1.4.1
12) MA.D.1.4.1
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13) MA.D.1.4.1 functions
14) MA.D.1.4.1 functions
15) MA.D.1.4.1 number sequences
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16) MA.D.1.4.1
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Grade 10 Strand D - MAD.1.4.2
1) MA.D.1.4.2 changing measurement parameters
2) MA.D.1.4.2
3) MA.D.1.4.2
4) MA.D.1.4.2
5) MA.D.1.4.2 changing cost parameters
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6) MA.D.1.4.2 changing measurement parameters
7) MA.D.1.4.2 changing measurement parameters
Grade 10 Strand D - MAD.2.4.2
1) MA.D.2.4.2 equations
2) MA.D.2.4.2
3) MA.D.2.4.2 solving systems of equations/inequalities
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4) MA.D.2.4.2 equations
5) MA.D.2.4.2 graphing systems of equations/inequalities
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6) MA.D.2.4.2 equations
7) MA.D.2.4.2 systems of equations/inequalities
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8) MA.D.2.4.2 expressions
9) MA.D.2.4.2
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FCAT Countdown
Review for Strand E Data Analysis and Probability
Benchmark Description Value Response
MA.E.1.4.1 Interprets data that has been collected, organized, and displayed in charts, tables, and plots. (Also assesses E.1.3.1 and E.1.4.3)
5 pt MC, GR, ER*
MA.E.2.4.1 Determines probabilities using counting procedures, tables, tree diagrams, and formulas for permutations and combinations. (Also assesses E.2.4.2)
3 pt MC, GR
MA.E.3.4.1
Designs and performs real-world statistical experiments that involve more than one variable, then analyzes results and reports findings. (Also assesses E.3.3.1 and E.3.4.2)
2 pt MC
Grade 10
Student Copy * Extended and short response questions are in a separate review guide
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Grade 10 Strand E - MAE.1.4.1
1) MA.E.1.4.1 line graphs
2) MA.E.1.4.1 interpretation of chart/graph
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3) MA.E.1.4.1 Venn Diagrams
4) MA.E.1.4.1 bar graphs
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5) MA.E.1.4.1 Answer: C
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6) MA.E.1.4.1
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7) MA.E.1.4.1 line graph
Grade 10 Strand E - MA.E.2.4.1
1) MA.E.2.4.1
2) MA.E.2.4.1
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3) MA.E.2.4.1
4) MA.E.2.4.1
5) MA.E.2.4.1 combinations
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6) MA.E.2.4.1 single event probability
7) MA.E.2.4.1 single event probability
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Grade 10 Strand E - MAE.3.4.1
1) MA.E.3.4.1 evaluating hypothesis
2) MA.E.3.4.1 interpretation of data
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3) MA.E.3.4.1
4) MA.E.3.4.1 interpretation of data
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5) MA.E.3.4.1 interpretation of data
FCAT Countdown
Review for 1 pt Benchmarks
Benchmark Value Response
MA.A.1.4.2 1 pt MC
MA.A.3.4.1 1 pt MC
MA.A.3.4.2 1 pt MC
MA.B.2.4.2 1 pt MC, GR
MA.C.2.4.2 1 pt MC
* MA.E.1.4.1 1 pt MC, GR
MA.E.1.4.2 1 pt MC, GR
Grade 10
* This question is also tested as an extended response item worth 4 points.
Student Copy
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STRAND A MA.A.1.4.2 1) MA.A.1.4.2
2) MA.A.1.4.2
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3) MA.A.1.4.2
4) MA.A.1.4.2 A square room has a floor area of 150 square feet. Which number is closest to the length of one side of the room? A
B
C
D
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5) MA.A.1.4.2 A circular fence has a circumference of feet. Which number is closest to the circumference of the fence? A 126 B 132 C 134 D 143 6) MA.A.1.4.2 Ernie is planning to buy a computer, and his friend advised him to get one with a RAM size of
megabytes. Which is equivalent to megabytes? F 18 megabytes G 81 megabytes H 256 megabytes I 512 megabytes 7) MA.A.1.4.2 A circular table top has an area of 324 square inches. Which number is closest to the radius of the table top?
A 10.2 B 18.0 C 56.5 D 103.1
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STRAND A MA.A.3.4.1 1) MA.A.3.4.1
2) MA.A.3.4.1
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3) MA.A.3.4.1 What is the sum of a number x and its reciprocal? A
B
C
D
4) MA.A.3.4.1 Wendy received a bill for $25 from a magazine club. She had $25 in her account and paid the magazine club $25. This transaction can be expressed by the following equation.
What mathematical property justifies that the balance in her account is $0? A additive inverse B distributive property C multiplicative inverse D additive property of zero 5) MA.A.3.4.1
What is the additive inverse of F
G
H
J
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STRAND A MA.A.3.4.2 1) MA.A.3.4.2
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2) MA.A.3.4.2
3) MA.A.3.4.2 Which equation is equivalent to
F G H I
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4) MA.A.3.4.2 Which equation is equivalent to A B C D 5) MA.A.3.4.2 If the sum of x and y is 90 and y is 6 more than four times x, which system of equations could be used to solve for x and y? F
G
H
I
6) MA.A.3.4.2
Which equation is equivalent to A
B
C D 7) MA.A.3.4.2 Which inequality is equivalent to F G H I
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STRAND B MA.B.2.4.2 1) MA.B.2.4.2
2) MA.B.2.4.2
3) MA.B.2.4.2 It took a race car driver 3 hours 15 minutes to drive 500 miles. What was the driver’s mean rate of speed, to the nearest tenth of a mile per hour? A 142.9 mph B 153.8 mph C 158.7 mph D 166.7 mph 4) MA.B.2.4.2 A cheetah can run at a maximum rate of speed of 65 miles per hour. At this rate, how many miles, to the nearest hundredth of a mile, can a cheetah run in 30 seconds? F 0.54 miles G 1.08 miles H 1.95 miles J 2.17 miles 5) MA.B.2.4.2 Suki typed 245 words in minutes. What is Suki’s typing rate, in words per minute? A 35 words per minute B 70 words per minute C 82 words per minute D 86 words per minute 6) MA.B.2.4.2 On a bicycle trip, Erika rode 5 miles in the first 30 minutes and 13 miles in the next hour. What was her average rate of speed, in miles per hour? A 9 miles per hour B 10 miles per hour C 11 miles per hour D 12 miles per hour
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STRAND C MA.C.2.4.2
1) MA.C.2.4.2
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2) MA.C.2.4.2
3) MA.C.2.4.2 A cone with a base radius of 6 inches and a height of 16 inches is intersected by a plane that is 4 inches from the parallel base.
What is the volume of the cone that has its base in the intersecting plane? A B C D
4) MA.C.2.4.2 A plane is perpendicular to the base of a right circular cone with a height of 12 inches and a radius of 5 inches as shown below.
What is the area, in square inches, of the intersection of the plane and the cone? F 30 G 60 H J 5) MA.C.2.4.2 An 8-inch by 12-inch by 10.5-inch rectangular solid is shown below.
What is the greatest possible area, in square inches, of the intersection of the rectangular solid and a plane (not shown) parallel to at least one face? A 84 B 96 C 126 D 144
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STRAND E MA.E.1.4.1 1) MA.E.1.4.1
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2) MA.E.1.4.1
3) MA.E.1.4.1
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4) MA.E.1.4.1
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5) MA.E.1.4.1
Grade 10 Strand E - MA.E.1.4.2
1) MA.E.1.4.2
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2) MA.E.1.4.2
3) MA.E.1.4.2
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4) MA.E.1.4.2 The table below lists the heights, in feet, of 8 buildings.
What is the median of the data in the table? F 1,295 feet G 1,315 feet H 1,450 feet J 1,483 feet 5) MA.E.1.4.2 The table below lists the heights of 7 mountains.
Which is closest to the mean height of the 7 mountains? A 8485 meters B 8490 meters C 8508 meters D 8516 meters
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6) MA.E.1.4.2 The table below lists the lengths of 8 of the longest rivers in the world.
Which is the range of the lengths listed? F 1,171 G 1,518 H 3,070 J 3,289 7) MA.E.1.4.2 Theresa has 2 brothers and 1 sister whose ages are 12, 15, and 18 years old, respectively. If the mean age of all four siblings is 13, how old is Theresa? F 5 G 7 H 9 J 11
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8) MA.E.1.4.2 The table below shows 10 stars and their distances, in light years, from Earth.
What is the median of the distances listed? A 6.325 B 6.580 C 7.824 D 8.325
The School Board of Miami-Dade County Public Schools
Mr. Agustin J. Barrera, Chair Ms. Perla Tabares Hantman, Vice-Chair
Mr. Renier Diaz de la Portilla Ms. Evelyn Langlieb Greer Dr. Wilber “Tee” Holloway
Dr. Martin Karp Ms. Ana Rivas Logan
Dr. Marta Pérez Dr. Solomon Stinson
Dr. Rudolph F. Crew
Superintendent of Schools
Mr. Adam Wexelbaum Student Advisor
Regional Center II
Ms. Enid Weisman
Regional Superintendent
Ms. Lourdes P. Gimenez Administrative Director
Mr. Paul J. Greenfield Administrative Director
Ms. Marie F. Harrison Administrative Director
Ms. DanySu F. Pritchett Administrative Director