CS_112items - CSET California Subject Examinations for...

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C alifornia S ubject E xaminations for T eachers ® CSET ® ® TEST GUIDE MATHEMATICS SUBTEST III Sample Questions and Responses and Scoring Information CS-TG-QR112X-02 Copyright © 2005 by National Evaluation Systems, Inc. (NES®) “California Subject Examinations for Teachers,” “CSET,” and the “CSET” logo are registered trademarks of the California Commission on Teacher Credentialing and National Evaluation Systems, Inc. (NES®). “NES®” and its logo are registered trademarks of National Evaluation Systems, Inc.™
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California Subject Examinations for Teachers Test Guide 1 Sample Test Questions for CSET: Mathematics Subtest III Below is a set of multiple-choice questions and constructed-response questions that are similar to the questions you will see on Subtest III of CSET: Mathematics. The term "enhanced" is used in this test guide to identify complex multiple-choice questions that require 2–3 minutes each to complete. Please note that enhanced mathematics questions will not be identified on the actual test form. You are encouraged to respond to the questions without looking at the responses provided in the next section. Record your responses on a sheet of paper and compare them with the provided responses. Note: The use of calculators is not allowed for CSET: Mathematics Subtest III. 1. What are the solutions to tan x + π 6 = 3 where 0 x 2 π ? A. 11 π 6 , 5 π 6 B. 5 π 3 , 2 π 3 C. π 3 , 4 π 3 D. π 6 , 7 π 6
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Mathematics Subtest III 2 California Subject Examinations for Teachers Test Guide 2. Use the diagram below to answer the question that follows. y x r q The diagram shows a rectangle inscribed in a circle of radius r . What is the area of the rectangle as a function of the angle θ ? A. 4 r tan θ B. r 2 cos θ sin θ⏐ C. 4 r 2 tan 2 θ D. 4 r 2 cos θ sin θ⏐
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Mathematics Subtest III California Subject Examinations for Teachers Test Guide 3 (ENHANCED) 3. Use the diagram below to answer the question that follows. y P (0, 0) x Point P is on the edge of a wheel of radius of 1 that rotates counterclockwise around the origin at a speed of 15 revolutions per second. At t = 0, P has coordinates (–1, 0). Which of the following functions could be used to describe the x -coordinate of P as a function of time, t , measured in seconds? A. x( t ) = sin(30 π t ) –1 B. x( t ) = –sin 2 π t 15 –1 C. x( t ) = –cos 2 π t 15 D. x( t ) = –cos(30 π t )
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Mathematics Subtest III 4 California Subject Examinations for Teachers Test Guide
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