CSET Mathematics Subtest II Online Center
This CSET Mathematics Subtest II Online Center brings together practice, lessons, worksheets, flashcards and review tools. Choose the resource that matches the skill you want to work on next.
CSET Mathematics Subtest II Practice Center
Sit a full form with the calculator you plan to bring, then read the explanation under every question you missed. Sort the misses two ways: by content domain, and by whether you did not know the fact or knew it and set the problem up wrong. Those two piles call for different work in the week that follows.
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CSET Mathematics Subtest II at a glance
Subtest II is the geometry subtest, with a smaller probability and statistics section attached. Roughly three quarters of the questions come from geometry, and they run from the Parallel Postulate through conic sections, polar coordinates, solids, and transformations. California publishes the split, so you can plan around it. One practical detail sets this subtest apart from every other CSET: you must bring your own approved graphing calculator, and staff will clear its memory before and after you test.
| Subtest code | 212 (Geometry; Probability and Statistics), test version 212-1 |
|---|---|
| Part of | CSET: Mathematics, a three-subtest series: Subtest I (211), Subtest II (212), and Subtest III (213). Each subtest is passed independently. |
| Credential requirement | A Single Subject Teaching Credential in Mathematics requires Subtests I, II, and III. A Foundational-Level Mathematics credential requires Subtests I and II only. |
| Number of questions | 35 multiple-choice questions and 3 constructed-response questions |
| Split by subject area | Geometry: 25 multiple-choice and 2 constructed-response. Probability and Statistics: 10 multiple-choice and 1 constructed-response. |
| Time limit | 2 hours 30 minutes |
| Calculator | A graphing calculator is required, and you bring your own approved model. None is provided. Manuals are prohibited, and test staff clear the calculator memory both before and after testing, so back up anything you want to keep. |
| Approved models | Texas Instruments TI-73, TI-83, TI-83 Plus, TI-83 Plus Silver Edition, TI-84, TI-84 Plus, TI-84 Plus Silver Edition, TI-84 Plus C Silver Edition, and the TI-Nspire handheld with the TI-84 Plus keypad. The vendor states that approved models change, so check the current list before you register. |
| Format | Computer-based only, by appointment at a test center. CSET: Mathematics is not offered through online proctoring. |
| Scoring | The multiple-choice section counts 70 percent and the constructed-response section 30 percent. Constructed responses are scored by qualified California educators. |
| Passing score | A scaled score of 220 on a scale of 100 to 300. |
California publishes item counts by subject area for this subtest, which is where the Geometry and the Probability and Statistics figures above come from. It publishes no percentage or item count for any individual content domain or competency, so treat all six domains as testable and let the subject-area split guide how you divide your time.
The six content domains, in plain language
Four domains carry the geometry and two carry the probability and statistics. Here is what each one asks of you.
Domain 1: Plane Euclidean geometry
The axiomatic side of geometry, where you prove results rather than only compute them.
- The Parallel Postulate, its equivalents, and what follows from it
- Complementary, supplementary, and vertical angles
- Proofs and problems involving congruence and similarity
- Triangle properties, trigonometric ratios, and the Pythagorean Theorem with its converse
- The Law of Sines and the Law of Cosines
- Properties of polygons and circles from an advanced standpoint
- The classical straightedge and compass constructions, and why each one works
Domain 2: Coordinate geometry
Geometry done with coordinates, including conic sections and polar form.
- Proving geometric theorems by coordinate methods
- Modeling real situations with two-dimensional figures
- Moving between the geometric description of a conic and its equation
- Converting between rectangular and polar coordinates
- Vectors in the plane and their use in geometric problems
Domain 3: Three-dimensional geometry
Lines, planes, and solids in space, with the measurement that goes with them.
- Relationships among lines and planes in three dimensions
- Parallel and perpendicular lines and planes
- Volume and surface area formulas, and where they come from
- Cross sections, nets, and two-dimensional views of solids
- Modeling real situations with three-dimensional figures
Domain 4: Transformational geometry
What isometries and dilations do, and how they connect to congruence and similarity.
- Rotations, translations, and reflections in two and three dimensions
- Why isometries preserve congruence, and how compositions behave
- Coordinate rules for each transformation
- Dilations and their connection to similarity
- The effect of a scale factor on length, area, and volume
Domain 5: Probability
Counting, chance, and the distributions used to model it.
- Permutations and combinations, proved as well as applied
- Finite probability shown through several models
- Conditional probability and independence
- Probabilities of compound events
- Normal, binomial, and exponential distributions
- Expected value and using it to evaluate a decision
Domain 6: Statistics
Summarizing data honestly and drawing conclusions you can defend.
- Mean and median for discrete and for continuous distributions
- Quartiles, range, interquartile range, and standard deviation
- Sampling methods and how to display the results
- Least squares linear regression
- The chi-square test
- Scatter plots and patterns of association in bivariate data
- Reading data on a single variable in several display formats
- P-values, hypothesis testing, and confidence intervals
A study routine for a 150-minute subtest
You have two and a half hours for 35 multiple-choice questions and 3 constructed responses, so the clock is real. Budget about twenty minutes per constructed response and keep the multiple-choice pace near three minutes. Geometry is three quarters of the test, and it is where most candidates gain or lose the score.
Complete lesson map
Sixty-five mapped topics for this subtest. The first nineteen are full lessons on the site and open in a new tab. The rest are the advanced geometry and inference topics this subtest reaches, listed as a study checklist because no lesson covers them yet.
Figures in the plane
The coordinate plane
Solids and their measures
Data and chance
Plane Euclidean geometry at this level (checklist, no lessons on site yet)
- 20The Parallel Postulate, Playfair’s axiom, and their equivalents
- 21Angle relationships formed by a transversal
- 22Triangle congruence and similarity criteria, and proofs that use them
- 23Right triangle trigonometry and the special right triangles
- 24The Law of Sines, the Law of Cosines, and the ambiguous case
- 25Circle theorems: inscribed angles, chords, tangents, and the power of a point
- 26Arc length, sector area, and radian measure
- 27Classical constructions and the justification for each
- 28Structuring a two-column proof and an indirect proof
Coordinate and analytic geometry (checklist, no lessons on site yet)
- 29Coordinate proofs of geometric theorems
- 30Equations of parallel and perpendicular lines in the plane
- 31The four conic sections and their standard equations
- 32Completing the square to identify a conic from its general equation
- 33Focus, directrix, and eccentricity
- 34Converting between rectangular and polar coordinates
- 35Graphs of common polar equations
- 36Vectors in the plane: components, magnitude, sum, and dot product
Three-dimensional geometry (checklist, no lessons on site yet)
- 37Lines and planes in space, including skew lines
- 38Conditions for parallel and perpendicular planes
- 39Surface area and volume of prisms, pyramids, cylinders, cones, and spheres
- 40Where the volume formulas come from, including Cavalieri’s principle
- 41Cross sections, nets, and views of a solid
- 42Solids of revolution
- 43Distance and midpoint in three dimensions
Transformational geometry (checklist, no lessons on site yet)
- 44Coordinate rules for translations, reflections, and rotations
- 45Compositions of isometries and glide reflections
- 46Isometries and congruence, in the plane and in space
- 47Line symmetry, rotational symmetry, and tessellations
- 48Dilations, similarity, and the center of a dilation
- 49What a scale factor does to length, to area, and to volume
Probability beyond the basics (checklist, no lessons on site yet)
- 50Proving the permutation and combination formulas
- 51Sample spaces, tree diagrams, and area models
- 52Conditional probability, independence, and Bayes’ rule
- 53Addition and multiplication rules for compound events
- 54The binomial distribution
- 55The normal distribution, z-scores, and the empirical rule
- 56The exponential distribution and waiting times
- 57Expected value and evaluating a decision with it
Statistics and inference (checklist, no lessons on site yet)
- 58Mean and median of a continuous distribution
- 59Quartiles, interquartile range, variance, and standard deviation
- 60Sampling methods, randomization, and bias
- 61Least squares regression, residuals, and r against r squared
- 62Scatter plots and describing association in bivariate data
- 63The chi-square test and when it applies
- 64P-values and the logic of a hypothesis test
- 65Confidence intervals and what they do and do not say
Before test day
Three habits separate a comfortable pass from a near miss. Write the given information and the theorem name in every proof, because the constructed responses are scored on the argument and not on the answer alone. Watch dimensions when a scale factor appears, since doubling a length multiplies area by four and volume by eight. And test your calculator before you leave home: fresh batteries, a model on the approved list, and no manual in the bag. Staff will clear the memory, so nothing you store will survive anyway.
A USEFUL NEXT STEP
CSET Mathematics Subtest II: study questions
What can I study in this CSET Mathematics Subtest II Online Center?
This CSET Mathematics Subtest II Online Center includes practice, lessons, worksheets, flashcards and review tools. Topics on the page include Domain 1: Plane Euclidean geometry, Domain 2: Coordinate geometry, Domain 3: Three-dimensional geometry.
How should I use the CSET Mathematics Subtest II resources?
Choose a topic or practice activity from this Online Center. Review the linked explanation, try the practice, and use the result to decide what to study next. Check each resource’s directions for its format and access requirements.
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