Practice

Original cumulative chapter practice to consolidate taught ideas.

Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 18 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

A1
A circle has diameter 28 cm. What is its radius?
Reveal explanation
Answer: 14 cm
The radius is half the diameter. 28 ÷ 2 = 14 cm.
The radius runs from center to edge. The diameter crosses the center from edge to edge.
A2
An angle measures 58°. Is it acute, right, or obtuse?
Reveal explanation
Answer: acute
Compare 58° with 90°: angles smaller are acute, exactly 90° are right, and larger but less than 180° are obtuse.
Angle of 58 degrees; angle size depends on rotation, not ray length.
A3
An angle measures 10°. Is it acute, right, or obtuse?
Reveal explanation
Answer: acute
Compare 10° with 90°: angles smaller are acute, exactly 90° are right, and larger but less than 180° are obtuse.
Angle of 10 degrees; angle size depends on rotation, not ray length.
A4
A triangle has side lengths 9, 9, and 11 units. Classify it by its side lengths.
Reveal explanation
Answer: isosceles
Isosceles means exactly two equal sides. These lengths satisfy the triangle inequality.
A5
A triangle has side lengths 13, 13, and 15 units. Classify it by its side lengths.
Reveal explanation
Answer: isosceles
Isosceles means exactly two equal sides. These lengths satisfy the triangle inequality.
A6
Identify the most specific shape: a quadrilateral has two pairs of parallel sides, side lengths 10 and 12 cm, and no right angles.
Reveal explanation
Answer: parallelogram
The shape is a parallelogram. Check right angles, equal-length sides and parallel lines; the description distinguishes it from the other listed types.
A7
Using a compass set to 3 cm, draw a circle. What must be the distance from the center to every point on the circle?
Reveal explanation
Answer: 3 cm
The fixed compass opening is the radius. Keep its needle fixed and rotate the pencil to keep every perimeter point 3 cm from the center.
The radius runs from center to edge. The diameter crosses the center from edge to edge.
A8
A circle has radius 23 cm. What is its diameter?
Reveal explanation
Answer: 46 cm
A diameter joins two radii end to end through the center: 23 + 23 = 46 cm.
The radius runs from center to edge. The diameter crosses the center from edge to edge.
A9
An angle measures 56°. Is it acute, right, or obtuse?
Reveal explanation
Answer: acute
Compare 56° with 90°: angles smaller are acute, exactly 90° are right, and larger but less than 180° are obtuse.
Angle of 56 degrees; angle size depends on rotation, not ray length.
A10
An angle measures 60°. Is it acute, right, or obtuse?
Reveal explanation
Answer: acute
Compare 60° with 90°: angles smaller are acute, exactly 90° are right, and larger but less than 180° are obtuse.
Angle of 60 degrees; angle size depends on rotation, not ray length.
A11
A triangle has side lengths 11, 11, and 11 units. Classify it by its side lengths.
Reveal explanation
Answer: equilateral
Equilateral means three equal sides. These lengths satisfy the triangle inequality.
A12
A triangle has side lengths 8, 9, and 10 units. Classify it by its side lengths.
Reveal explanation
Answer: scalene
Scalene means no equal sides. These lengths satisfy the triangle inequality.
A13
Identify the most specific shape: a quadrilateral has four right angles, adjacent side lengths 11 cm and 13 cm.
Reveal explanation
Answer: rectangle
The shape is a rectangle. Check right angles, equal-length sides and parallel lines; the description distinguishes it from the other listed types.
A14
Using a compass set to 3 mm, draw a circle. What must be the distance from the center to every point on the circle?
Reveal explanation
Answer: 3 mm
The fixed compass opening is the radius. Keep its needle fixed and rotate the pencil to keep every perimeter point 3 mm from the center.
The radius runs from center to edge. The diameter crosses the center from edge to edge.
A15
A circle has diameter 20 cm. What is its radius?
Reveal explanation
Answer: 10 cm
The radius is half the diameter. 20 ÷ 2 = 10 cm.
The radius runs from center to edge. The diameter crosses the center from edge to edge.
A16
An angle measures 154°. Is it acute, right, or obtuse?
Reveal explanation
Answer: obtuse
Compare 154° with 90°: angles smaller are acute, exactly 90° are right, and larger but less than 180° are obtuse.
Angle of 154 degrees; angle size depends on rotation, not ray length.
A17
An angle is 55°. A student calls it obtuse because the rays look long. Explain the error.
Reveal explanation
Answer: Acute
55° is below 90°, so the angle is acute; ray length is irrelevant.
A18
Two circles have diameters 12 cm and 14 cm. Which has the larger radius and by how much?
Reveal explanation
Answer: Second circle, by 1 cm
Their radii are 6 cm and 7 cm; changing diameter by 2 cm changes radius by 1 cm.

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