Grade 8 Math · Measurement and Geometry
Virginia SOL 8.MG.5
Virginia SOL 8.MG.5 is part of the Measurement and Geometry strand in Grade 8 Math (Math). Under this Standards of Learning objective, students solve area and perimeter problems involving composite plane figures. Below is what 8.MG.5 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.MG.5 for the Virginia SOL test.
What SOL 8.MG.5 means
Solve area and perimeter problems involving composite plane figures.
Practice Grade 8 Math SOL questions
Free Grade 8 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 8.MG.5 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A deck contains 6 red cards, 6 blue cards, and 8 black cards. What is the probability of drawing a red card?
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Answer: C — 30%
2. A package contains 7 bags of tortilla chips, 3 bags of cheese puffs, 4 bags of potato chips, and 6 bags of corn chips. What is the probability of selecting potato chips?
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Answer: G — 1/5
3. The number of CDs sold by a store increased each year as follows: Year 1: 1,000 Year 2: 1,500 Year 3: 2,000 Year 4: 2,500 Year 5: 3,000 If this pattern continues, what is the best prediction for Year 8 sales?
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Answer: C — 2,400
4. A set of 5 cards includes 2 cards with stars and 3 without stars. What is the probability of drawing a card with a star?
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Answer: F — 2/5
Skills you’ll practice for 8.MG.5
- Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, circles, and semicircles to determine the area of subdivisions and combine to find the composite area.
- Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, and semicircles to determine the perimeter of the composite plane figure using attributes of subdivisions.
- Apply perimeter, circumference, and area formulas to solve contextual problems involving composite plane figures.
Key concepts covered by 8.MG.5
- composite plane figure
- subdivision
- area
- triangles
- rectangles
- squares
- trapezoids
- parallelograms
- circles
- semicircles
- perimeter
- circumference
- formulas
- contextual problems
- composite plane figures
How to study and practice SOL 8.MG.5
Start with a quick diagnostic to see whether 8.MG.5 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Grade 8 Math standards in Measurement and Geometry
- 8.MG.1 — Use relationships among vertical, adjacent, supplementary, and complementary angles to determine unknown angle measures.
- 8.MG.2 — Determine surface area of square-based pyramids and volume of cones and square-based pyramids.
- 8.MG.3 — Apply translations and reflections to polygons in the coordinate plane.
- 8.MG.4 — Apply the Pythagorean Theorem to solve problems involving right triangles.
Frequently asked questions about SOL 8.MG.5
What is Virginia SOL 8.MG.5?
SOL 8.MG.5 is a Grade 8 Math Standard of Learning in the Measurement and Geometry strand. It expects students to solve area and perimeter problems involving composite plane figures.
What skills does SOL 8.MG.5 cover?
SOL 8.MG.5 is assessed on 3 skills: subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, circles, and semicircles to determine the area of subdivisions and combine to find the composite area; subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, and semicircles to determine the perimeter of the composite plane figure using attributes of subdivisions; apply perimeter, circumference, and area formulas to solve contextual problems involving composite plane figures.
What strand of Grade 8 Math is SOL 8.MG.5 in?
SOL 8.MG.5 belongs to the Measurement and Geometry reporting strand of the Grade 8 Math Virginia Standards of Learning.
How do I study and practice for SOL 8.MG.5?
Start with a diagnostic to see whether 8.MG.5 is already solid, then work the 3 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.