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It includes scoring-information context and instructions on how to respond without using the answer key during practice. The guide emphasizes exam conditions such as no calculators and clarifies notation like base-10 logarithms. 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All rights reserved.  \nEvaluation Systems, Pearson, P.O. Box 226, Amherst, MA 01004  \nCalifornia Subject Examinations for Teachers, CSET, and the CSET logo are trademarks of the  \nCommission on Teacher Credentialing and Pearson Education, Inc. or its affiliate(s) . Pearson and its logo are trademarks, in the U.S. and/or other countries, of Pearson Education, Inc. or its affiliate(s) .  \nCS-TG-QR211-01  \nSample Test Questions for CSET: Mathematics Subtest I  \nBelow is a set of multiple-choice questions and constructed-response questions that are similar to the questions you will see on Subtest I of CSET: Mathematics. Please note that, as on the actual test form, approximately one third of the multiple-choice questions in this test guide are more complex questions that require 2–3 minutes each to complete. 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.  \nNote: The use of calculators is not allowed for CSET: Mathematics Subtest I.  \nNote: In CSET: Mathematics subtests, log x represents the base-10 logarithm of x.  \n1. Use the table below to answer the question that follows.  \n\n| @ | a | b | c | d |\n| --- | --- | --- | --- | --- |\n| a | c | a | b | d |\n| b | a | b | c | d |\n| c | b | c | a | d |\n| d | d | d | d | d |\n\nThe set M = {a, b, c, d} under operation @ is defined by the table shown above. Which of the following is the inverse element for a under operation @?  \nA. a  \nB. b  \nC. c  \nD. d  \n2. Which of the following expressions is equivalent to 25 •(2 )10b − 8  ?  \n10 •(2 )5b + 2  \nA. 5 • (2)2b – 5  \nB. 5 • (2)5b – 11  \nC. 15 • (2)2b – 4  \nD. 15 • (2)5b – 10  \n3. Three numbers, x, y, and z, have a sum of 871. The ratio x:y is 4:5 and the ratio y:z is 3:8 . Which of the following is the value of y?  \nA. 134  \nB. 156  \nC. 195  \nD. 201  \n4. Which of the following expressions is equivalent to ~~ ~~15+–i7i ?  \nA. 5 – 17 i  \nB. –2 – ~~ ~~1~~3~~7 i  \nC. – 14 + ~~3~~4 i  \n 1   18  \nD. – 25 – 25 i  \n5. In order to identify all the prime numbers less than 200, a person writes each number from 1 to 200, and eliminates all the multiples of 2, then all the multiples of 3. To complete this task, the person will have to eliminate the multiples of which additional numbers?  \nA. 5, 7, 9, 11  \nB. 7, 9, 11, 13  \nC. 5, 7, 11, 13  \nD. 7, 11, 13, 17  \n6. If x, y, and z are nonnegative integers, what is the total number of factors of 2x 3y 5z?  \nA. (2 + 3 + 5)(x + y + z) [B.](B. xyz)[ xyz](B. xyz)  \nC. (x + 1)(y + 1)(z + 1)  \nD. x 2y3z 5  \n7. Use the theorem about integers below to answer the question that follows.  \nGiven that a > b, a = nb + r, and that d divides a and b, then d divides r.  \nWhich of the following describes why this statement is true?  \nA. If d divides a and b, then d divides a – b.  \nB. If d divides a and b, then d divides n.  \nC. If d divides a and b, then d divides ab.  \nD. If d divides a and b, then d is the greatest common divisor of a and b.  \n8. If a, b, n, and r are positive integers such that a > b, anda = nb + r, then the greatest common divisor of a and b (gcd(a, b)) is also equal to which of following?  \nA. gcd(a, n)  \nB. gcd(b, r)  \nC. gcd(n, r)  \nD. gcd(n, b)  \n9. Which of the following statements refutes the claim that GLR(3), the set of 3 × 3 invertible matrices over the real numbers, is a field?  \nA. There exist elements A and B of GLR(3) such that AB ≠ BA.  \nB. There exist elements A and B of GLR(3) such that det(AB) = det(A)det(B) .  \nC. If A is an element of GLR(3), then there exists a matrix A–1 such that A–1A = I.  \nD. If A is an element of GLR(3), then there exists a matrix A such that det(A) ≠ 1.  \n10. It is given that the set o","cbCaim48ZI6efIrg","https://ap.wps.com/l/cbCaim48ZI6efIrg","pdf",535109,"English","# Sample Questions and Responses\n## Subtest overview and instructions\n## Practice questions (1-17)","[{\"question\":\"Are calculators allowed in CSET: Mathematics Subtest I sample questions?\",\"answer\":\"No. The guide states that the use of calculators is not allowed for CSET: Mathematics Subtest I.\"},{\"question\":\"How is log x defined in the CSET Mathematics subtests?\",\"answer\":\"The guide notes that log x represents the base-10 logarithm of x.\"},{\"question\":\"What type of questions are included in this sample test guide?\",\"answer\":\"It provides a set of multiple-choice questions and constructed-response questions similar to those on Subtest I of CSET: Mathematics.\"}]","California Subject Examinations for Teachers - TEST GUIDE - MATHEMATICS SUBTEST I - Sample Questions and Responses and Scoring Information | PDF",1790678842,76]