Virginia SOL 6.PFA.1

What SOL 6.PFA.1 means

Use ratios to represent relationships between quantities, including contextual problems.

Practice Grade 6 Math SOL questions

Free Grade 6 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 6.PFA.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. 1. A line plot shows the number of letters in the names of 7 students with values at 5, 6, 6, 7, 7, 8, and 9 letters. Each X represents 1 student. What is the balance point for this set of data?

   F5 lettersG6 lettersH7 lettersJ8 letters
   Show answer

   Answer: H — 7 letters

2. 2. The table shows the number of minutes 10 students spent completing homework one night: 4, 50, 80, 45, 50, 65, 45, 85, 50, 45. The teacher removes the outlier from the data and recalculates the measures of center and spread. When the outlier is removed from the data, the —

   Amedian decreasesBrange increasesCmean increasesDmode increases
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   Answer: C — mean increases

3. 3. Cole used ( (2)/(11) ) of his time reading his notes and ( (4)/(11) ) of his time completing problems. He used the rest of his time reviewing his textbook. If Cole spent 88 minutes total, he reviewed his textbook for exactly —

   F20 minG36 minH44 minJ53 min
   Show answer

   Answer: H — 44 min

4. 4. An equation mat shows 5 identical groups on one side and 6 identical groups on the other side, using the same unit symbol for each group. Which equation best represents the equation mat shown?

   F(y = 5 + 6)G(y + 5 = 6)H(y - 5 = 6)J(y = 6)
   Show answer

   Answer: G — (y + 5 = 6)

→ Take the full free Grade 6 Math SOL practice test

Skills you’ll practice for 6.PFA.1

• Represent a relationship between two quantities using ratios.
• Represent a relationship in context using the notations a/b, a:b, and a to b.
• Represent different comparisons within the same quantity or between different quantities (part to part, part to whole, whole to whole).
• Create a relationship in words for a given ratio expressed symbolically.
• Create a table of equivalent ratios to represent a proportional relationship between two quantities when given a ratio or contextual situation.

Key concepts covered by 6.PFA.1

• represent
• relationship
• quantities
• ratios
• context
• notations
• a/b
• a:b
• a to b
• comparisons
• part to part
• part to whole
• whole to whole
• create
• words
• ratio
• symbolically
• table
• equivalent ratios
• proportional relationship
• contextual situation

How to study and practice SOL 6.PFA.1

Start with a quick diagnostic to see whether 6.PFA.1 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 6 Math SOL practice test

Related Grade 6 Math standards in Patterns, Functions, and Algebra

• 6.PFA.2 — Identify and represent proportional relationships between two quantities, including contextual problems.
• 6.PFA.3 — Write and solve one-step linear equations in one variable, including contextual problems.
• 6.PFA.4 — Represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.

Frequently asked questions about SOL 6.PFA.1