CCSD Practice Proficiency Exam Fall 2010

Transcription

1 Fall 00. In the diagram below, line m is parallel to line n. m n 60 x. Brock borrows $,000 from his father and repays the money after years, plus 5% simple interest. How much interest does Brock pay on the loan? A. $00 $00 $,000 $,000 What is the value of x? A Multiply. 5 6 A The first five terms of a sequence are shown below What is the th term of the sequence? A The table below shows the numbers of snacks sold at a concession stand during two different games. Basketball Game Football Game Item Small Large Small Large Popcorn 6 5 Nachos Soda How many small sodas were sold altogether? A A four-character password consists of one letter from the word MATH, followed by three digits which may be,, or. If the digits may be used more than once, how many more passwords can be made than if the numbers are used only once? A An inequality is shown below. x 8 What is the solution of the inequality? A. x 8 x 5 x 7 5 x CCSD Practice Proficiency Exam Fall 00 Page of 7

2 Fall A large company charted employee absences for the past month (0 workdays). The company represented the data in a scatterplot and a histogram. The charts are shown below. Number of Workers Absent Workday Number 0. Two linear equations are given below. Equation : x y Equation : xy For which equation(s) is the point, a solution? A. Equation only. Equation only. Both equations and. Neither equation nor. Number of Workdays Number of Workers Absent What fact is obvious from the scatterplot that is not obvious from the histogram? A. A typical employee was absent an average of days this month. More workers were absent early in this month than late in the month. On most days this month, there were to workers absent. Next month, fewer than workers will probably be absent on any given day.. Look at the diagram below. What is sin x? A. B C Five numbers are shown below. x A 9. The weight (w) of a package is measured in ounces. Each package must be in the range below < w <.0 What is the tolerance for the weight of the package? A..0 ± 0.05 oz.0 ± 0.0 oz.5 ± 0.05 oz.5 ± 0.0 oz Which is a true statement about the numbers? A CCSD Practice Proficiency Exam Fall 00 Page of 7

3 Fall 00. In the diagram below, PR is parallel to SU, and QT is congruent to QU. S What is the measure of A STQ?. You buy a lawn mower for $80. You charge $0 to mow a lawn. How many lawns will you have to mow to pay for the lawn mower plus show a profit of $60? A. lawns lawns lawns 7 lawns 5. A donut display case has 6 glazed, chocolate, and sugar donuts. A customer randomly selects donuts, without replacement. What is the probability of choosing glazed donuts and sugar donut? 6 6 A. P? T Q 0 R U 6. The ratio of the length (L) to width (w) of a certain building is equal to the ratio of the height (h) to girth (g) of a man. Which equation represents the man s height? L A. h g w w h g L L h g w w h g L 7. The Venn diagram below represents pants with different characteristics. Pants with buttons Pants with pockets Pants with pleats What is represented by the shaded region? A. Pants with pockets, buttons, and pleats. Pants with pockets and buttons, but without pleats. Pants with buttons and pleats; some pants may have pockets. Pants with pockets and buttons; some pants may have pleats. CCSD Practice Proficiency Exam Fall 00 Page of 7

4 Fall Which spinner, when spun once, has the highest probability of landing on the numeral? A.. Which is the most precise measurement? A..5 kilometers.5 meters.5 centimeters.5 millimeters. The pictograph below shows the number of hot beverages consumed at a restaurant. Hot Beverage Consumption Hot cider Hot chocolate Tea Coffee Key = 0 cups consumed How many more cups of coffee than cups of hot cider were consumed? A Factor A. xx 6 xx 6 x8x 8 x 8 x 6 0. Which is the best approximation of 65? A Use the functions below. f x x gx x Which elements are in the range of f and also in the range of g? A. All real numbers All positive real numbers All negative real numbers No real numbers CCSD Practice Proficiency Exam Fall 00 Page of 7

5 Fall 00. Look at the graph below. 6. The heights of women aged 8 years can be described with a normal distribution. A graph of the distribution is shown below. Heights of Women aged 8 68% 95% 99.7% Height (in inches) What is the slope of the line? A. Based on the graph, which statement is correct? A. There are more women in this age group taller than 69.5 inches than there are shorter than 59.5 inches. Most women who are older than years are taller than 7 inches. Less than one-third of the women in this age group are taller than 6.5 inches. There are about as many women in this age group shorter than 6 inches as there are taller than 67 inches. 5. The figures shown below are constructed from toothpicks. 7. Look at the figure below. B Figure Figure Figure A O C D Which expression represents the number of toothpicks in Figure n? A. n n 6 n n What is the measure of ADC? A CCSD Practice Proficiency Exam Fall 00 Page 5 of 7

6 Fall A class has 5 students. The teacher randomly chooses students to form a line. If the order of selection is important, how many different lines could be created? A. 5!! 5! 5! 5! 5!! 5! 9. The table below shows Jeremy s monthly expenses. Monthly Expense Percent of Monthly Income Food and Clothing % Housing and Utilities % Transportation % Health & Personal Care 6% Savings 9% Miscellaneous 7% Jeremy earned $,500 last month. How much did he pay for transportation? A. $6 $80 $6 $585. What is the measure of an exterior angle of a regular octagon? A The data below are the player ratings of members of a golf team What is the interquartile range of the ratings? A The entertainment center shown below has a 5-inch by 0-inch opening for a television. 5 in. 0 in. Television Opening 0. A polynomial is shown below. x x N What value of N makes the polynomial a perfect trinomial square? A A television is measured by the length of its diagonal. Which is the largest television set that would fit in the opening? A. 6 inches inches 50 inches 65 inches CCSD Practice Proficiency Exam Fall 00 Page 6 of 7

7 Fall 00. The table below shows favorite foods of students in three different classes. Burritos Hamburgers Pizza Class Class 7 9 Class 0 9 Which matrix represents the total number of students who favor burritos, hamburgers, and pizzas? A Two jobs offer different pay packages. Job A pays an annual salary of $8,000 plus a commission of % of sales (s). Job B pays an annual salary of $,000 plus a commission of % of sales (s). What system of equations would be used to find the amount of sales that makes the pay (P) for Job A equal to Job B? P s A. P s P s P s s P s P 5. Use the absolute value function below. y x P s What is the range of the function? A. y 0 y y y 6. A student scored 98, 8, and 90 on three exams this semester. There is one exam remaining. What score does the student need to achieve on the last exam to have an overall mean of 88 on his exams? A What property is demonstrated by 0x x 0x x? A. associative commutative distributive identity 9. Swimming pools X and Y are similar rectangular prisms. The ratio of the surface area of Pool X to Pool Y is :9. What is the capacity of Pool X in terms of the capacity of Pool Y? 8 A. X Y 7 X 7 8 X Y 9 9 X Y Y 0. There are 0 cats in a pet show. A group of cats will be selected as finalists. How many different groups of cats could be finalists? A CCSD Practice Proficiency Exam Fall 00 Page 7 of 7

8 Fall 00 Standards/DOK and Key by Question Questions and Key by Standard/DOK Question Key 006 Standard DOK * B..6 D.. D 5.. B.. 5 A..7 6 C C.. 8 B C.. 0 C..5 B.. A..6 C..6 D..6 5 D A.. 7 C..9 8 A C.. 0 A..6 D.. C 5.. B.. A..5 5 D.. 6 D C.. 8 B D.. 0 D.. B.. A 5.. B..7 D..7 5 D.. 6 A A..8 8 B..5 9 A..5 0 C 5.. Question Key 006 Standard DOK * 0 A..6 5 A..7 7 A..8 A..6 D..7 7 C.. 0 D.. 5 D.. 0 C..5 D..6 D.. 6 A.. 9 C.. B.. 8 B..5 5 D.. D.. B.. 9 C.. 9 D.. 9 A..5 B.. B.. A..5 B..6 7 C.. C..6 B..7 7 C..9 C 5.. A B C 5.. D A D C D A B 5.. *Depth of Knowledge (DOK) levels are estimated.