In Sheila’s class, there are 5 students with red hair, 8 with blond hair, and 9 with brown hair. Which question could be answered using probability?

If one student is chosen at random, which hair color is most likely?

How many students are in the class?

How many more have brown hair than red hair?

How many pencils are needed for the class?

Cassie’s team scores were: 17, 22, 39, 26, 25, 33, 37, 43, 18, 39, 29, 50, 41, 24, 48. Which stem-and-leaf plot represents this data?

Stem-and-leaf plot with stems 1–5 and correctly grouped leaves

Stem-and-leaf plot missing one value

Stem-and-leaf plot with incorrect stems

Stem-and-leaf plot missing the 50

Grade 5 Math · Measurement and Geometry

Virginia SOL 5.MG.2

Virginia SOL 5.MG.2 is part of the Measurement and Geometry strand in Grade 5 Math (Math). Under this Standards of Learning objective, students solve problems involving perimeter, area, and volume using multiple representations. Below is what 5.MG.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 5.MG.2 for the Virginia SOL test.

Practice 5.MG.2 All Grade 5 Math standards

What SOL 5.MG.2 means

Solve problems involving perimeter, area, and volume using multiple representations.

Practice Grade 5 Math SOL questions

Free Grade 5 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 5.MG.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. The number of boats rented at Marsh Lake at different times was recorded as follows: 9 a.m.: 8 boats 10 a.m.: 26 boats 11 a.m.: 21 boats 12 p.m.: 16 boats 1 p.m.: 12 boats Which is closest to the number of boats being used at 10 a.m.?
Show answer
Answer: J — 26
2. In Sheila’s class, there are 5 students with red hair, 8 with blond hair, and 9 with brown hair. Which question could be answered using probability?
Show answer
Answer: G — If one student is chosen at random, which hair color is most likely?
3. Cassie’s team scores were: 17, 22, 39, 26, 25, 33, 37, 43, 18, 39, 29, 50, 41, 24, 48. Which stem-and-leaf plot represents this data?
Show answer
Answer: A — Stem-and-leaf plot with stems 1–5 and correctly grouped leaves
4. Susan walked the following number of blocks: 21, 18, 15, 18, 13. What was the mean number of blocks per day?
Show answer
Answer: G — 17

→ Take the full free Grade 5 Math SOL practice test

Skills you’ll practice for 5.MG.2

Investigate and develop a formula for determining the area of a right triangle.
Estimate and determine the area of a right triangle when the base and height are given in whole number units.
Describe volume as a measure of capacity and give examples in contextual situations.
Investigate and develop a formula for determining the volume of rectangular prisms using concrete objects.
Estimate and determine the volume of a rectangular prism using concrete objects, diagrams, and formulas when length, width, and height are given in whole number units.
Identify whether the application of perimeter, area, or volume is appropriate for a given situation.
Solve contextual problems involving perimeter, area, and volume in standard units of measure.

Key concepts covered by 5.MG.2

investigate
develop
formula
area
right triangle
estimate
determine
base
height
whole number units
describe
volume
measure of capacity
contextual situations
rectangular prisms
concrete objects
rectangular prism
length
width
diagrams
formulas
identify
application
perimeter
situation
solve
contextual problems
standard units of measure

How to study and practice SOL 5.MG.2

Start with a quick diagnostic to see whether 5.MG.2 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.

→ Take the free Grade 5 Math SOL practice test

5.MG.1 — Solve problems involving length, mass, and liquid volume using metric units.
5.MG.3 — Classify and measure angles and triangles, and solve problems involving angles.

Frequently asked questions about SOL 5.MG.2

What is Virginia SOL 5.MG.2?

SOL 5.MG.2 is a Grade 5 Math Standard of Learning in the Measurement and Geometry strand. It expects students to solve problems involving perimeter, area, and volume using multiple representations.

What skills does SOL 5.MG.2 cover?

SOL 5.MG.2 is assessed on 7 skills: investigate and develop a formula for determining the area of a right triangle; estimate and determine the area of a right triangle when the base and height are given in whole number units; describe volume as a measure of capacity and give examples in contextual situations; investigate and develop a formula for determining the volume of rectangular prisms using concrete objects; estimate and determine the volume of a rectangular prism using concrete objects, diagrams, and formulas when length, width, and height are given in whole number units; identify whether the application of perimeter, area, or volume is appropriate for a given situation; solve contextual problems involving perimeter, area, and volume in standard units of measure.

What strand of Grade 5 Math is SOL 5.MG.2 in?

SOL 5.MG.2 belongs to the Measurement and Geometry reporting strand of the Grade 5 Math Virginia Standards of Learning.

How do I study and practice for SOL 5.MG.2?

Start with a diagnostic to see whether 5.MG.2 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.