CSET Mathematics Subtest I (Algebra & Number Theory) Practice Test

The exam focuses exclusively on advanced algebra and number theory. Key domains include the structure of number systems (natural numbers, integers, rationals, reals, complexes), properties of integers (divisibility, primes, modular arithmetic), algebraic topics (polynomial equations, inequalities, functions), and linear algebra (vector spaces, matrices, linear transformations). It emphasizes proof-based understanding and the interconnectedness of concepts, not just procedural fluency.

While salary schedules are determined by individual school districts, possession of a full teaching credential-for which this exam is required-is mandatory for permanent, full-time mathematics teaching positions in California public schools. Without passing the required CSET subtests, you cannot complete the credential process, severely limiting your employment options to interim roles. Thus, this certification is the gateway to stable, long-term career opportunities and advancement on the salary schedule.

No. The CSET Mathematics Subtest I is administered without any calculators or external reference materials. The exam is designed to assess your internalized knowledge and your ability to execute mathematical reasoning and manual computation. An on-screen calculator is not provided, as the test focuses on conceptual understanding and proof, not numerical calculation.

The subtest consists of approximately 52 constructed-response (short answer and extended response) questions that must be completed within a 3-hour testing session. Responses are scored by qualified assessors using standardized rubrics. Your final score is reported on a scale of 100 to 300, with a passing score of 220. You receive a detailed diagnostic report indicating performance in each subdomain.

Effective preparation must move beyond passive review. Focus on actively solving non-routine problems, writing clear and rigorous mathematical proofs, and explaining solutions step-by-step. Utilize official CTC practice questions, work through proof-based exercises from standard undergraduate textbooks in abstract algebra and number theory, and practice articulating your reasoning in writing under timed conditions. Forming a study group to critique proofs and explanations can be highly beneficial.