ISEE Lower Level Quantitative Reasoning Flashcards: Graph Interpretation

What this deck covers

This deck focuses on Graph Interpretation, 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 fraction of a whole does a pie slice represent if its central angle is about $60^\circ$?

Answer: $\frac{1}{6}$. A central angle of $60^\circ$ represents one-sixth of a full $360^\circ$ circle, as $60 \div 360 = \frac{1}{6}$.

Flashcard 2: What fraction of a whole does a pie slice represent if its central angle is about $120^\circ$?

Answer: $\frac{1}{3}$. A central angle of $120^\circ$ represents one-third of a full $360^\circ$ circle, as $120 \div 360 = \frac{1}{3}$.

Flashcard 3: What fraction of a whole does a pie slice represent if its central angle is about $180^\circ$?

Answer: $\frac{1}{2}$. A central angle of $180^\circ$ represents half of a full $360^\circ$ circle, as $180 \div 360 = \frac{1}{2}$.

Flashcard 4: What is the category value if the total is $50$ and the pie slice is $10\%$?

Answer: $5$. Multiply the total by the percentage as a decimal to find the category value: $50 \times 0.1 = 5$.

Flashcard 5: What is the category value if the total is $64$ and the pie slice is $\frac{3}{8}$?

Answer: $24$. Multiply the total by the fraction to find the category value: $64 \times \frac{3}{8} = 24$.

Flashcard 6: What is the category value if the total is $90$ and the pie slice is $\frac{1}{3}$?

Answer: $30$. Multiply the total by the fraction to find the category value: $90 \times \frac{1}{3} = 30$.

Flashcard 7: What is the category value if the total is $80$ and the pie slice is $25\%$?

Answer: $20$. Multiply the total by the percentage as a decimal to find the category value: $80 \times 0.25 = 20$.

Flashcard 8: What is the total if a bar is at $28$ and this is $70\%$ of the total?

Answer: $40$. Divide the bar value by the given percentage as a decimal to find the total: $28 \div 0.7 = 40$.

Flashcard 9: What is the total if a bar is at $45$ and this is $75\%$ of the total?

Answer: $60$. Divide the bar value by the given percentage as a decimal to find the total: $45 \div 0.75 = 60$.

Flashcard 10: What is the total if a bar is at $12$ and this is $\frac{3}{8}$ of the total?

Answer: $32$. Divide the bar value by the given fraction to find the total: $12 \div \frac{3}{8} = 32$.

Flashcard 11: What is the total if a bar is at $18$ and this is $\frac{3}{4}$ of the total?

Answer: $24$. Divide the bar value by the given fraction to find the total: $18 \div \frac{3}{4} = 24$.

Flashcard 12: What is the total if a bar is at $24$ and this is $\frac{2}{3}$ of the total?

Answer: $36$. Divide the bar value by the given fraction to find the total: $24 \div \frac{2}{3} = 36$.

Flashcard 13: What is the total if a bar is at $30$ and this is $\frac{3}{5}$ of the total?

Answer: $50$. Divide the bar value by the given fraction to find the total: $30 \div \frac{3}{5} = 50$.

Flashcard 14: What percent of a whole does a pie slice represent if its central angle is about $144^\circ$?

Answer: $40\%$. Convert the angle fraction to percent by calculating $(144 \div 360) \times 100 = 40\%$.

Flashcard 15: What percent of a whole does a pie slice represent if its central angle is about $36^\circ$?

Answer: $10\%$. Convert the angle fraction to percent by calculating $(36 \div 360) \times 100 = 10\%$.

Flashcard 16: What is the difference between two bar heights $35$ and $20$ as read from a bar graph?

Answer: $15$. Subtract the smaller bar height from the larger one: $35 - 20 = 15$.

Flashcard 17: What fraction of a whole does a pie slice represent if its central angle is about $45^\circ$?

Answer: $\frac{1}{8}$. A central angle of $45^\circ$ represents one-eighth of a full $360^\circ$ circle, as $45 \div 360 = \frac{1}{8}$.

Flashcard 18: What is the ratio of two bar heights $12$ to $36$ in simplest form?

Answer: $1:3$. Divide both heights by their greatest common divisor to simplify the ratio: $12:36 \div 12 = 1:3$.

Flashcard 19: What is the approximate fraction if a bar reaches about $6$ on a scale from $0$ to $12$?

Answer: $\frac{1}{2}$. Divide the bar height by the maximum scale value and simplify: $6 \div 12 = \frac{1}{2}$.

Flashcard 20: What fraction of a whole does a pie slice represent if its central angle is about $90^\circ$?

Answer: $\frac{1}{4}$. A central angle of $90^\circ$ represents one-quarter of a full $360^\circ$ circle, as $90 \div 360 = \frac{1}{4}$.

Flashcard 21: What is the approximate fraction if a bar reaches about $8$ on a scale from $0$ to $10$?

Answer: $\frac{4}{5}$. Divide the bar height by the maximum scale value and simplify: $8 \div 10 = \frac{4}{5}$.

Flashcard 22: What is the approximate fraction if a bar reaches about $9$ on a scale from $0$ to $12$?

Answer: $\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $9 \div 12 = \frac{3}{4}$.

Flashcard 23: What is the total of two bar heights $18$ and $27$ as read from a bar graph?

Answer: $45$. Add the heights of the two bars directly from the graph: $18 + 27 = 45$.

Flashcard 24: What is the approximate fraction if a bar reaches about $15$ on a scale from $0$ to $20$?

Answer: $\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $15 \div 20 = \frac{3}{4}$.

Flashcard 25: What fraction of a whole does a pie slice represent if its central angle is about $72^\circ$?

Answer: $\frac{1}{5}$. A central angle of $72^\circ$ represents one-fifth of a full $360^\circ$ circle, as $72 \div 360 = \frac{1}{5}$.