6th Grade Math Flashcards: Understand Ratio Concept And Language

What this deck covers

This deck focuses on Understand Ratio Concept And Language, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is a ratio?

Answer: A comparison of two quantities by division. Ratios show how quantities relate through division.

Flashcard 2: What does the ratio $3:5$ mean using "for every" ratio language?

Answer: For every $3$ of the first quantity, there are $5$ of the second. Ratio language describes the relationship between quantities.

Flashcard 3: Identify the ratio described: "For every $1$ vote for A, C gets $3$ votes."

Answer: $1:3$ (A:C). Direct translation of the voting relationship.

Flashcard 4: What is the ratio of beaks to wings if there are $18$ wings and $9$ beaks?

Answer: $1:2$. Reverse the order: beaks first, then wings.

Flashcard 5: What is the ratio of $\frac{3}{4}$ cup to $\frac{1}{2}$ cup in simplest form?

Answer: $3:2$. Convert to common denominator: $\frac{3}{4}:\frac{2}{4} = 3:2$.

Flashcard 6: What is the ratio of $0.6$ liters to $1.5$ liters in simplest form?

Answer: $2:5$. Multiply by 10 to get $6:15$, then divide by 3.

Flashcard 7: What is the ratio of $10$ minutes to $2$ hours after converting to the same unit?

Answer: $1:12$. Convert hours to minutes: $10:120$, then simplify by 10.

Flashcard 8: Choose the correct ratio: $10$ blue tiles and $6$ green tiles; blue to green.

Answer: $5:3$. Simplify $10:6$ by dividing both by $2$.

Flashcard 9: What is the ratio of $24$ minutes to $2$ hours when both are in minutes?

Answer: $24:120$. Convert $2$ hours to $120$ minutes first.

Flashcard 10: What is the ratio of $8$ apples to $2$ oranges written as a fraction in simplest form?

Answer: $\frac{4}{1}$. Simplify $\frac{8}{2}$ by dividing both by $2$.

Flashcard 11: What is the ratio $9:12$ in simplest form?

Answer: $3:4$. Divide both by GCF of 3: $\frac{9}{3}:\frac{12}{3} = 3:4$.

Flashcard 12: Which order matches "the ratio of cats to dogs" if there are $4$ cats and $7$ dogs?

Answer: $4:7$. Order matters: first quantity comes first in the ratio.

Flashcard 13: Which ratio matches $5$ boys and $9$ girls written as $\text{girls:boys}$?

Answer: $9:5$. Girls first, then boys, following the stated order.

Flashcard 14: What is the ratio of $14$ total students to $8$ students in band written as $\text{total:band}$ in simplest form?

Answer: $7:4$. Divide both by GCF of 2: $\frac{14}{2}:\frac{8}{2} = 7:4$.

Flashcard 15: What does the ratio $a:b$ mean in words?

Answer: $a$ units for every $b$ units. Describes the relationship between two quantities.

Flashcard 16: What is the ratio of $15$ red marbles to $5$ blue marbles written as $\text{red:blue}$ in simplest form?

Answer: $3:1$. Divide both by GCF of 5: $\frac{15}{5}:\frac{5}{5} = 3:1$.

Flashcard 17: What is the unit rate meaning of the ratio $\frac{12 \text{miles}}{3 \text{hours}}$?

Answer: $4$ miles per $1$ hour. Divide to find the rate: $12 \div 3 = 4$ miles per hour.

Flashcard 18: What are three common ways to write the ratio of $a$ to $b$?

Answer: $a:b$, $a$ to $b$, and $\frac{a}{b}$. These are the three standard ratio notations.

Flashcard 19: What is the ratio of $7$ triangles to $21$ circles written as $\text{triangles:circles}$ in simplest form?

Answer: $1:3$. Divide both by GCF of 7: $\frac{7}{7}:\frac{21}{7} = 1:3$.

Flashcard 20: What is a ratio, in words, comparing two quantities?

Answer: A comparison of two quantities by division. Ratios show how quantities relate through division.

Flashcard 21: Find the missing number: The ratio $x:6$ is equivalent to $4:3$.

Answer: $x=8$. Cross multiply: $3x = 24$, so $x = 8$.

Flashcard 22: Find and correct the ratio error: "$8$ cats and $6$ dogs gives dogs:cats $=8:6$."

Answer: Correct dogs:cats is $6:8$ (simplifies to $3:4$). Order was reversed; dogs:cats should be $6:8$.

Flashcard 23: Identify the ratio described: "For every $4$ apples, there are $3$ oranges."

Answer: $4:3$ (apples:oranges). Direct translation of the given relationship.

Flashcard 24: What does the ratio $2:1$ mean using "for every" language?

Answer: For every $2$ of the first quantity, there is $1$ of the second. The first quantity appears twice for each second quantity.

Flashcard 25: Which order matches "the ratio of cats to dogs"?

Answer: Cats first, then dogs. Order matters: first quantity comes first in the ratio.

Flashcard 26: What ratio (in simplest form) represents $12$ red marbles to $8$ blue marbles?

Answer: $3:2$. Divide both by their GCD: $12÷4=3$, $8÷4=2$.

Flashcard 27: What is the ratio of $24$ minutes to $2$ hours in simplest form?

Answer: $1:5$. Simplify $24:120$ by dividing both by $24$.

Flashcard 28: Find the missing number: The ratio $9:y$ is equivalent to $3:5$.

Answer: $y=15$. Cross multiply: $3y = 45$, so $y = 15$.

Flashcard 29: Which statement correctly matches the ratio $5:2$?

Answer: For every $5$ of the first quantity, there are $2$ of the second. This describes the multiplicative relationship.

Flashcard 30: Which statement correctly matches the ratio $2:5$?

Answer: For every $2$ of the first quantity, there are $5$ of the second. The ratio $2:5$ means 2 units to 5 units.

Flashcard 31: What is the ratio of $12$ girls to $8$ boys written as $\text{girls:boys}$ in simplest form?

Answer: $3:2$. Divide both by GCF of 4: $\frac{12}{4}:\frac{8}{4} = 3:2$.

Flashcard 32: Identify the error: Writing "ratio of dogs to cats" as $\frac{\text{cats}}{\text{dogs}}$.

Answer: The order is reversed; it should be $\frac{\text{dogs}}{\text{cats}}$. Ratio order must match the stated comparison.

Flashcard 33: What three notations can represent the ratio of $a$ to $b$?

Answer: $a:b$, $a$ to $b$, and $\frac{a}{b}$. Three standard ways to write ratios mathematically.

Flashcard 34: What ratio (in simplest form) represents $15$ girls to $20$ boys?

Answer: $3:4$. Divide both by their GCD: $15÷5=3$, $20÷5=4$.

Flashcard 35: What is the ratio $4:6$ written as a fraction in simplest form?

Answer: $\frac{2}{3}$. Write as fraction and simplify by dividing by 2.

Flashcard 36: Identify the ratio of wings to beaks if there are $18$ wings and $9$ beaks.

Answer: $2:1$. Simplify $18:9$ by dividing both by $9$.

Flashcard 37: What is the ratio $18$ meters to $24$ meters written as a fraction in simplest form?

Answer: $\frac{3}{4}$. Simplify by dividing both by GCF of 6: $\frac{18÷6}{24÷6} = \frac{3}{4}$.

Flashcard 38: What is the ratio of shaded to unshaded squares if $6$ are shaded and $14$ are unshaded, in simplest form?

Answer: $3:7$. Simplify $6:14$ by dividing both by $2$.

Flashcard 39: What does "Candidate C received nearly three votes for every vote Candidate A received" mean as a ratio $C:A$?

Answer: $3:1$ (approximately). "Nearly three" means approximately $3$ to $1$.

Flashcard 40: What is the ratio of $3$ feet to $18$ inches after converting to the same unit?

Answer: $2:1$. Convert feet to inches: $36:18$, then simplify by 18.