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 Mathematical Systems CLAST Practice Test A

Both Practice Test A & Practice Test B test the CLAST skills presented in the CLAST quizzes found in chapters 1-12. These skills and tests are specific to the state of Florida CLAST test.

 1 . Identify the missing term from the following geometric progression. –1, 1/3, –1/9, 1/27, –1/81, ____ 2 . Jeremy has purchased five textbooks. The least expensive book cost \$24 and the most expensive book cost \$70. Which of the following could be a reasonable estimate of the total cost of the five books? 3 . The circle graph below shows preferences of a number of fast food consumers. What percent prefer something other than chicken? 4 . Referring to the figure below, select the statement that is true. (The measure of angle ABC is represented by “x.”) 5 . Select the figure that must possess all of the following characteristics. i. is a quadrilateral; ii. all sides have equal length; iii. diagonals have equal length. 6 . Find f(3) , given 7 . How many positive integers leave a remainder of 3 when divided into 31 and leave a remainder of 8 when divided into 50? 8 . Select the statement that is the negation of the statement “If you like pasta, then you like linguine.” 9 . Round the measure 6.4548 centimeters to the nearest tenth of a centimeter. 10 . Select the correct expanded notation for 600.000 07. 11 . Choose the correct solution set for the system of linear equations. 8x – 3y = –4 12x + y = 5 12 . Six tennis players are going to play a “round-robin” tournament, meaning that each player will play one match against each of the other players. How many matches will be held? 13 . The formula C = 2x + 25 gives the total cost (C, in \$) of manufacturing x pounds of chocolate syrup. How many pounds of syrup can be manufactured for \$125? 14 . Select the rule of logical equivalence which directly (in one step) transforms statement “i” into statement “ii.” i. If x is an odd number, then 3x is an odd number. ii. x is not an odd number or 3x is an odd number. 15 . 16 . Identify the conditions corresponding to the shaded region of the plane. 17 . All of the arguments below have true conclusions, but one of the arguments is not valid. Select the argument that is not valid. 18 . ÷ = 19 . Find the correct solutions to 20 . Study the information given below. If a logical conclusion is given, select that conclusion. If none of the conclusions given is warranted, select the option expressing this condition. All alligators are dangerous. No kittens are dangerous. Fluffy is not a kitten. 21 . What is the area of a circular region with a diameter of 10 meters? 22 . At Sudsy Stanley’s Car Wash it costs \$3.95 to wash a car and another \$5.95 to wax a car that has been washed. Fredo has four taxi cabs that will be brought to the car wash. All four will be washed and two will be waxed. Find the total cost. 23 . Half of the students who took a five-point quiz received scores of 3. Of the others, most received scores of 4 while a few received scores of 5. Which of the following statements is true about the distribution of scores? 24 . The table below shows the distribution of students according to the number of minutes required for them to complete their final exam. If two students are randomly selected, find the probability that they both finished the exam in 30 minutes or less. 25 . Which is a linear factor of the following expression? 26 . If 2x + 1 > 6x + 5, then 27 . Select the statement below that is logically equivalent to “If you are in Miami then you are in Dade County.” 28 . Find the median of the data in the following sample. 18, 10, 6, 6, 18, 6,10, 6 29 . A rectangular flowerbed that is 3 yards wide, 10 yards long and 9 inches deep will be filled with topsoil that costs \$12 per cubic yard. Find the cost of the topsoil. 30 . 31 . (-.03) x (-.06) = 32 . If 50 is decreased to 40, what is the percent decrease? 33 . 34 . Sets A, B, C and U are related as shown in the diagram. Which of the following is true, assuming that no region of the diagram is empty? 35 . 175%= 36 . Identify the symbol that should be placed in the blank to form a true statement. 37 . Select the figure in which all of the triangles are similar. 38 . For each of the statements below, determine whether x = 3 is a solution. i. |x| < 3 ii. 2x2 – 7x = –3 iii. x + 3 = x – 3 39 . The formula for finding the simple interest (I) on a loan is I = PRT. How much interest will Bill pay on his property purchase if he finances \$12,000 (P) at a 10% simple interest rate (R = .10) for 3 years (T)? 40 . Study the information in the figures below. In each figure, A represents the area of the shaded part of the figure. 41 . The square of a number, decreased by 3 times the number, is equal to the number. Which equation could be used to find x, the number? 42 . Select the conclusion that will make the following argument valid. If all of us are happy we will have a party. We won’t have a party. 43 . A manufacturer produces 120-minute blank videocassette tapes. Due to random errors in the manufacturing process ten percent of the videocassette tapes contain less than 115 minutes of tape. If two videocassettes are randomly selected find the probability that at least one of them contains less than 115 minutes of tape? 44 . Study the figure below composed from a rectangle and a triangle. Then select the formula for computing the total area of the figure. 45 . Select the units of measure that would be appropriate for measuring the height of the cylinder shown. 46 . Moe and Joe are both going to drive from Heretown to Thereville (see figure below). Joe is going to travel the direct 10-mile road. Moe would rather travel the alternative scenic route, however, traveling westward to Middleton and then northward to Thereville. If Moe can average 56 miles per hour, how long will it take him to make the journey? 47 . The relative frequency table below shows the distribution according to height of the students in a gym class. Approximately what is the mean height? 48 . The student government wants to conduct a survey of students to determine the extent of support for spending student activity fees to fund intramural sports. Which of the following would be most appropriate for selecting an unbiased sample? 49 . 9,000,000 x 0.0003 = 50 . Given that: i. If you are a cat, then you eat mice; and ii. You aren’t a cat; determine which conclusion can be logically deduced. 51 . 96 is 40% of what number? 52 . Choose the expression equivalent to the following. 6a + 4b 53 . The scatter plot below shows the relationship between average number of students per teacher in public schools and average annual salary ((in \$ thousands) for public school teachers for a number of southern states. Which of the following best describes the relationship between teacher salary and number of students per teacher? (Continued on next page.) 54 . Three workers can process 500 pounds of seafood in 4 hours. Let x be the number of pounds of seafood that they can process in 6 hours. Select the correct statement of the given condition. 55 . Jerry bought \$80 worth of clothes and \$200 worth of fishing gear. Because he bought these things during the first week of August he did not have to pay the usual 7% state sales tax on the clothes. How much did he save by not having to pay the sales tax? Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.

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