Ages 11–14🧮 Mathematics16 verified questions on this shelf

Compound Units

Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

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Question 1 of 3

A recipe uses 2/3 cup of sugar for every 1/4 cup of cocoa. What is the unit rate of sugar expressed as cups of sugar per cup of cocoa?

Question 2 of 3

A bike travels $\frac{3}{4}$ mile for every $\frac{2}{3}$ gallon of gasoline. What is the unit rate in miles per gallon?

Question 3 of 3

A recipe uses 3/4 cup of sugar for every 5/6 cup of flour. What is the unit rate of sugar expressed as cups of sugar per cup of flour?

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What a child can do after this Skill

Calculate average speed given distance and time, converting between km/h and m/s if needed
Compare unit prices of two products sold in different quantities to find the better deal
Use the density formula to find mass, volume, or density given the other two values

Curriculum standards this Skill teaches

NCERT.Class6.Math.MensurationBasics — Mensuration: perimeter and area
NCERT.Class6.Math.Fractions — Fractions: representation, equivalent fractions, operations
NCERT.Class7.Math.TrianglesAndProperties — Triangles: types, properties, and theorems
KS3.Maths.Ratio.10 — Compound Units
ICSE.Class6.Math.IntegersAndNumberTheory — Integers and number theory
NCERT.Class7.Math.RationalNumbers — Rational numbers: representation, operations
NCERT.Class6.Math.NumberSystem — Number system: whole numbers, factors, multiples
ICSE.Class6.Math.FractionsAndDecimals — Fractions and decimals: representation and operations
ICSE.Class7.Math.SimpleEquations — Simple linear equations in one variable
ICSE.Class7.Math.RationalNumbers — Rational numbers: representation and operations
CCSS.Math.Content.6.RP.3 — Solve real-world problems involving ratios and rates
CCSS.Math.Content.7.RP.1 — Compute unit rates from ratios involving fractions

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.