ISEE Lower Level Quantitative Reasoning Flashcards: Ratios In Context

What this deck covers

This deck focuses on Ratios In Context, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Lower Level Quantitative Reasoning.

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 the ratio of $8$ apples to $32$ pieces of fruit in simplest form?

Answer: $1:4$. Divide both 8 and 32 by their greatest common divisor of 8 to simplify the ratio of apples to total fruit.

Flashcard 2: What does the ratio $a:b$ represent in context (in simplest words)?

Answer: $a$ parts of the first quantity for every $b$ parts of the second. The ratio $a:b$ compares two quantities, expressing the first as $a$ parts relative to $b$ parts of the second in their simplest terms.

Flashcard 3: What is the meaning of the ratio $a:b$ written as a fraction?

Answer: $\frac{a}{b}$. Converting a ratio to a fraction divides the first term by the second to represent their proportional relationship.

Flashcard 4: What is the simplified form of the ratio $12:18$?

Answer: $2:3$. Divide both 12 and 18 by their greatest common divisor of 6 to simplify the ratio.

Flashcard 5: What is the simplified form of the ratio $45:30$?

Answer: $3:2$. Divide both 45 and 30 by their greatest common divisor of 15 to simplify the ratio.

Flashcard 6: What is the simplified form of the ratio $28:35$?

Answer: $4:5$. Divide both 28 and 35 by their greatest common divisor of 7 to simplify the ratio.

Flashcard 7: What is the simplified form of the ratio $16:24$?

Answer: $2:3$. Divide both 16 and 24 by their greatest common divisor of 8 to simplify the ratio.

Flashcard 8: What is the simplified form of the ratio $63:81$?

Answer: $7:9$. Divide both 63 and 81 by their greatest common divisor of 9 to simplify the ratio.

Flashcard 9: What is the simplified form of the ratio $2.4:3.6$?

Answer: $2:3$. Divide both 2.4 and 3.6 by 1.2 to eliminate decimals and simplify the ratio.

Flashcard 10: What is the ratio of $18$ red marbles to $12$ blue marbles in simplest form?

Answer: $3:2$. Divide both 18 and 12 by their greatest common divisor of 6 to simplify the ratio of red to blue marbles.

Flashcard 11: What is the ratio of $7$ girls to $21$ students in simplest form?

Answer: $1:3$. Divide both 7 and 21 by their greatest common divisor of 7 to simplify the ratio of girls to total students.

Flashcard 12: What is the ratio of $x$ to $y$ in simplest form if $x=24$ and $y=36$?

Answer: $2:3$. Divide both 24 and 36 by their greatest common divisor of 12 to simplify the ratio of $x$ to $y$.

Flashcard 13: What is the ratio of wins to losses if a team has $18$ wins and $12$ losses (simplest)?

Answer: $3:2$. Divide both 18 and 12 by their greatest common divisor of 6 to simplify the ratio of wins to losses.

Flashcard 14: What is the ratio of shaded to unshaded if $9$ squares are shaded out of $15$ total?

Answer: $3:2$. Subtract 9 shaded from 15 total to get 6 unshaded, then divide both 9 and 6 by 3 to simplify.

Flashcard 15: What is the ratio of blue to non-blue if $6$ are blue and $14$ are not blue?

Answer: $3:7$. Divide both 6 and 14 by their greatest common divisor of 2 to simplify the ratio of blue to non-blue.

Flashcard 16: What is the ratio of girls to total students if there are $15$ girls and $12$ boys?

Answer: $5:9$. Add 15 girls and 12 boys for a total of 27, then divide both 15 and 27 by 3 to simplify the ratio.

Flashcard 17: What is the ratio of boys to girls if there are $12$ boys and $15$ girls (simplest)?

Answer: $4:5$. Divide both 12 and 15 by their greatest common divisor of 3 to simplify the ratio of boys to girls.

Flashcard 18: What is the ratio of $0.5$ kg to $250$ g in simplest form?

Answer: $2:1$. Convert 0.5 kg to 500 g, then divide both 500 and 250 by 250 to simplify the ratio.

Flashcard 19: What is the ratio of $3$ weeks to $21$ days in simplest form?

Answer: $1:1$. Convert 3 weeks to 21 days, then divide both 21 and 21 by 21 to simplify the ratio.

Flashcard 20: What is the ratio of $500$ mL to $2$ L in simplest form?

Answer: $1:4$. Convert 2 L to 2000 mL, then divide both 500 and 2000 by 500 to simplify the ratio.

Flashcard 21: What is the ratio of $2$ feet to $18$ inches in simplest form?

Answer: $4:3$. Convert 2 feet to 24 inches, then divide both 24 and 18 by 6 to simplify the ratio.

Flashcard 22: What is the ratio of $15$ minutes to $1$ hour in simplest form?

Answer: $1:4$. Convert 1 hour to 60 minutes, then divide both 15 and 60 by 15 to simplify the ratio.

Flashcard 23: What is the ratio of $9$ cats to $3$ dogs in simplest form?

Answer: $3:1$. Divide both 9 and 3 by their greatest common divisor of 3 to simplify the ratio of cats to dogs.