CSET Multiple Subjects Geometry and Data Questions (15 Free)
Published 2026-10-27 · Facts and text checked 2026-10-22 · Questions from our CSET Multiple Subjects study guide · Reviewed by Hana N., Quality Reviewer
These free CSET Multiple Subjects practice questions cover Geometry and Data, part of Subtest II: Mathematics on the exam. Angles, triangles and circles, area and volume, data sets and probability. Each question comes from a practice test in our CSET Multiple Subjects study guide and shows the correct answer with an explanation. The full exam has 154 questions.
Angles, triangles and circles, area and volume, data sets and probability. On the exam this is part of Subtest II: Mathematics. Open each answer to read the explanation.
Question 1Medium
An angle inscribed in a semicircle is always:
Show answer and explanation
Correct answer: B. right
An angle inscribed in a semicircle always measures 90°, a right angle.
From practice test 9 of our CSET Multiple Subjects study guide (question 75). Original question, not an official exam item.
Question 2Medium
In a 30-60-90 triangle, the side opposite the 30° angle is 5. What is the length of the side opposite the 60° angle?
Show answer and explanation
Correct answer: A. 5√3
In a 30-60-90 triangle, the side opposite the 60° angle is √3 times the short leg (opposite 30°). Since the short leg is 5, the long leg is 5√3. The common error is to divide by √3, giving 5/√3 = 5√3/3.
From practice test 4 of our CSET Multiple Subjects study guide (question 51). Original question, not an official exam item.
Question 3Hard
In a circle, an inscribed angle intercepts an arc of 80°. What is the measure of the inscribed angle?
Show answer and explanation
Correct answer: C. 40°
By the inscribed angle theorem, an inscribed angle measures half the measure of its intercepted arc. Half of 80° is 40°. The distractor 160° would result from doubling the arc.
From practice test 6 of our CSET Multiple Subjects study guide (question 127). Original question, not an official exam item.
Question 4Easy
An obtuse angle has a measure that is:
Show answer and explanation
Correct answer: A. between 90° and 180°
By definition, an obtuse angle is greater than 90° but less than 180°. Option B describes a right angle.
From practice test 4 of our CSET Multiple Subjects study guide (question 24). Original question, not an official exam item.
Question 5Medium
A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of drawing a blue marble?
Show answer and explanation
Correct answer: C. 1/2
Probability = number of blue marbles / total marbles = 6/12 = 1/2. Option A (1/3) might come from using red marbles instead.
From practice test 4 of our CSET Multiple Subjects study guide (question 30). Original question, not an official exam item.
Question 6Medium
Two parallel lines are cut by a transversal, creating an angle of 75° at one intersection. What is the measure of the corresponding angle on the other parallel line?
Show answer and explanation
Correct answer: B. 75°
Corresponding angles formed by a transversal cutting parallel lines are equal, so the corresponding angle is also 75°.
From practice test 5 of our CSET Multiple Subjects study guide (question 66). Original question, not an official exam item.
Question 7Medium
Two angles are supplementary. One angle is four times the measure of the other. What is the measure of the larger angle?
Show answer and explanation
Correct answer: B. 144°
Let the smaller angle be x, then the larger is 4x. Since they are supplementary, x + 4x = 180°, so 5x = 180° and x = 36°. The larger angle is 4 × 36° = 144°. The distractor 36° is the smaller angle.
From practice test 3 of our CSET Multiple Subjects study guide (question 56). Original question, not an official exam item.
Question 8Medium
The test scores of 5 students are: 78, 85, 92, 88, 77. What is the mean score?
Show answer and explanation
Correct answer: B. 84
Sum is 420, divided by 5 gives a mean of 84. The distractor 85 is the median, a common confusion.
From practice test 10 of our CSET Multiple Subjects study guide (question 23). Original question, not an official exam item.
Question 9Easy
Which of the following is an example of categorical data?
Show answer and explanation
Correct answer: C. Eye color.
Categorical data represents categories or labels. Eye color is categorical, while the other options are numerical.
From practice test 4 of our CSET Multiple Subjects study guide (question 36). Original question, not an official exam item.
Question 10Medium
Two parallel lines are cut by a transversal. One alternate interior angle measures (2x + 10)° and the other alternate interior angle measures (3x - 20)°. What is the value of x?
Show answer and explanation
Correct answer: C. 30
Alternate interior angles are equal, so 2x + 10 = 3x - 20. Solving gives x = 30. The distractor 20 results from setting sum to 180 (2x+10+3x-20=180) and solving incorrectly.
From practice test 3 of our CSET Multiple Subjects study guide (question 76). Original question, not an official exam item.
Question 11Easy
A cone has a base radius of 3 and a height of 4. What is its volume?
Show answer and explanation
Correct answer: B. 12π
Volume of a cone is V = (1/3)πr²h. Substituting r=3, h=4 gives V = (1/3)π(9)(4) = 12π. Forgetting the 1/3 yields 36π, a common error.
From practice test 4 of our CSET Multiple Subjects study guide (question 103). Original question, not an official exam item.
Question 12Medium
What is the sum of the interior angles of a pentagon?
Show answer and explanation
Correct answer: C. 540°
The sum of interior angles of an n‑sided polygon is (n-2)×180°. For a pentagon, n=5, so (5-2)×180° = 3×180° = 540°. The 360° option is for a quadrilateral.
From practice test 8 of our CSET Multiple Subjects study guide (question 29). Original question, not an official exam item.
Question 13Easy
In a 45-45-90 triangle, if one leg has length 5, what is the length of the hypotenuse?
Show answer and explanation
Correct answer: C. 5√2
In a 45-45-90 triangle, the legs are equal and the hypotenuse is leg times √2. Thus hypotenuse = 5√2. The distractor 10 would result from incorrectly doubling the leg.
From practice test 6 of our CSET Multiple Subjects study guide (question 104). Original question, not an official exam item.
Question 14Hard
A right triangle has legs of lengths 5 and 12. Which of the following is the length of the hypotenuse?
Show answer and explanation
Correct answer: B. 13
By the Pythagorean theorem, c² = 5² + 12² = 25 + 144 = 169, so c = 13. The closest distractor is 7 from subtracting 12 - 5, but the theorem requires adding the squares.
From practice test 9 of our CSET Multiple Subjects study guide (question 142). Original question, not an official exam item.
Question 15Medium
The circumference of a circle is 12π inches. What is its area?
Show answer and explanation
Correct answer: B. 36π in²
Circumference = 2πr = 12π ⇒ r = 6. Area = πr² = π(6²) = 36π in².
From practice test 2 of our CSET Multiple Subjects study guide (question 56). Original question, not an official exam item.
0 of 15 answered. Your result shows each area against our study target.
Want more mixed questions? Go back to the CSET Multiple Subjects practice test hub.
Want the full CSET Multiple Subjects preparation?
These questions come from our CSET Multiple Subjects study guide: full-length practice tests with every answer explained, flashcards, an AI study tutor and the audiobook.