3B · Chapter 12 · exam
Chapter practice examination
Original untimed practice examination. Not a secure or official placement test.
Original untimed practice examination. Not a secure or official placement test. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.
Assessment · 24 questions
Questions
Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.
Check your work: Finish the problems first, then ask a parent or tutor to review them with the separate answer-key copy.
- A1
A student answers the following question with “scalene”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A triangle has side lengths 11, 11, and 13 units. Classify it by its side lengths. (3 points)
- A2
An angle measures 139°. Is it acute, right, or obtuse? (2 points)
- A3
Using a compass set to 22 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)
- A4
A circle has diameter 32 cm. What is its radius? (2 points)
- A5
A student answers the following question with “obtuse”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: An angle measures 50°. Is it acute, right, or obtuse? (3 points)
- A6
A triangle has side lengths 5, 5, and 5 units. Classify it by its side lengths. (2 points)
- A7
A triangle has side lengths 3, 4, and 5 units. Classify it by its side lengths. (2 points)
- A8
A triangle has side lengths 14, 14, and 16 units. Classify it by its side lengths. (2 points)
- A9
A student answers the following question with “scalene”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A triangle has side lengths 13, 13, and 13 units. Classify it by its side lengths. (3 points)
- A10
A triangle has side lengths 10, 10, and 12 units. Classify it by its side lengths. (2 points)
- A11
An angle measures 42°. Is it acute, right, or obtuse? (2 points)
- A12
Using a compass set to 9 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)
- A13
A student answers the following question with “acute”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: An angle measures 101°. Is it acute, right, or obtuse? (3 points)
- A14
An angle measures 31°. Is it acute, right, or obtuse? (2 points)
- A15
Identify the most specific shape: a quadrilateral has four right angles, adjacent side lengths 9 cm and 11 cm. (2 points)
- A16
Using a compass set to 21 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)
- A17
A student answers the following question with “rhombus with no right angles”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Identify the most specific shape: a quadrilateral has four right angles and four equal sides of 5 cm. (3 points)
- A18
A circle has diameter 44 cm. What is its radius? (2 points)
- A19
An angle measures 78°. Is it acute, right, or obtuse? (2 points)
- A20
An angle measures 165°. Is it acute, right, or obtuse? (2 points)
- A21
A student answers the following question with “10 cm”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A circle has diameter 18 cm. What is its radius? (3 points)
- A22
A circle has radius 24 cm. What is its diameter? (2 points)
- A23
An angle is 60°. A student calls it obtuse because the rays look long. Explain the error. (3 points)
- A24
Two circles have diameters 10 cm and 12 cm. Which has the larger radius and by how much? (3 points)