KAP Grade 6 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio language

Rate and unit rate concepts

Use ratio reasoning to solve problems

Convert measurement units within and between systems

Solve percent problems using equivalent ratios or tables

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

KAP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

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