VTCAP Grade 6 Ratios and Proportional Relationships Practice

VTCAP Grade 6 Ratios and Proportional Relationships. Practice it free.

Grade 6 Ratios and Proportional Relationships standards; reported as the 'Ratios and Proportional Relationships' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test). This Grade 6 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.

Grade 66.RP4 mapped skills

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio reasoning to solve problems

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

Official sources

VTCAP Test Specifications, Spring 2026 (Vermont AOE / Cognia)
VTCAP Test Specifications, Spring 2025 (Vermont AOE / Cognia)
VTCAP Performance Level Descriptors: Mathematics, Grades 3-9 (Vermont AOE)

8 free questions · 0/0 correct

Practice playmedium

A hiking sign lists the distance to a waterfall as $4{,}500$ meters. How many kilometers is that? ( $1$ kilometer $= 1{,}000$ meters)

Use a conversion factor with kilometers in the numerator so meters cancel: $4{,}500 \text{ m} \times \dfrac{1 \text{ km}}{1{,}000 \text{ m}} = 4.5 \text{ km}$ .

Practice playeasy

Write $5\%$ as a fraction in lowest terms.

$5\% = \dfrac{1}{20}$ .

Practice playeasy

A community center expects $80$ volunteers for a cleanup day. By $8$ a.m., $60\%$ of the volunteers have signed in. How many volunteers have signed in by $8$ a.m.?

Convert $60\%$ to a decimal and multiply: $0.60 \times 80 = 48$ volunteers.

Practice playeasy

A scrap shipment weighs $2$ tons. How many ounces is that? ( $1$ ton $= 2{,}000$ pounds and $1$ pound $= 16$ ounces)

Convert tons to pounds, then pounds to ounces: $2 \text{ tons} \times \dfrac{2{,}000 \text{ lb}}{1 \text{ ton}} \times \dfrac{16 \text{ oz}}{1 \text{ lb}} = 64{,}000 \text{ oz}$ .

Practice playmedium

A patient receives $2{,}500$ milliliters of IV fluid. How many liters is that? ( $1$ liter $= 1{,}000$ milliliters)

Use a conversion factor with liters in the numerator so milliliters cancel: $2{,}500 \text{ mL} \times \dfrac{1 \text{ L}}{1{,}000 \text{ mL}} = 2.5 \text{ L}$ .

Practice playeasy

Write $0.875$ as a fraction in lowest terms.

$0.875 = \dfrac{7}{8}$ .

Practice playeasy

A kitchen prepares $500$ jars of jam. Workers label $8\%$ of the jars before the first break. How many jars are labeled before the first break?

Convert $8\%$ to a decimal and multiply: $0.08 \times 500 = 40$ jars.

Practice playeasy

A trail is $6$ kilometers long. How many centimeters is that? ( $1$ kilometer $= 1{,}000$ meters and $1$ meter $= 100$ centimeters)

Convert kilometers to meters, then meters to centimeters: $6 \text{ km} \times \dfrac{1{,}000 \text{ m}}{1 \text{ km}} \times \dfrac{100 \text{ cm}}{1 \text{ m}} = 600{,}000 \text{ cm}$ .