MAST Grade 6 Concepts of Ratios and Unit Rates Practice

Concepts of Ratios and Unit Rates skills

Find and compare unit rates and ratios.

Use ratios and unit rates to solve problems.

Standards: 6.RP.1, 6.RP.2, 6.RP.3, 6.RP.3.a, 6.RP.3.b

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

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: $6 \text{ km} \times \dfrac{1{,}000 \text{ m}}{1 \text{ km}} \times \dfrac{100 \text{ cm}}{1 \text{ m}} = 600{,}000 \text{ cm}$ .