Graph Interpretation - ISEE Lower Level: Quantitative Reasoning
Card 1 of 25
What fraction of a whole does a pie slice represent if its central angle is about $60^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $60^\circ$?
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$\frac{1}{6}$. A central angle of $60^\circ$ represents one-sixth of a full $360^\circ$ circle, as $60 \div 360 = \frac{1}{6}$.
$\frac{1}{6}$. A central angle of $60^\circ$ represents one-sixth of a full $360^\circ$ circle, as $60 \div 360 = \frac{1}{6}$.
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What fraction of a whole does a pie slice represent if its central angle is about $120^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $120^\circ$?
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$\frac{1}{3}$. A central angle of $120^\circ$ represents one-third of a full $360^\circ$ circle, as $120 \div 360 = \frac{1}{3}$.
$\frac{1}{3}$. A central angle of $120^\circ$ represents one-third of a full $360^\circ$ circle, as $120 \div 360 = \frac{1}{3}$.
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What fraction of a whole does a pie slice represent if its central angle is about $180^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $180^\circ$?
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$\frac{1}{2}$. A central angle of $180^\circ$ represents half of a full $360^\circ$ circle, as $180 \div 360 = \frac{1}{2}$.
$\frac{1}{2}$. A central angle of $180^\circ$ represents half of a full $360^\circ$ circle, as $180 \div 360 = \frac{1}{2}$.
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What is the category value if the total is $50$ and the pie slice is $10%$?
What is the category value if the total is $50$ and the pie slice is $10%$?
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$5$. Multiply the total by the percentage as a decimal to find the category value: $50 \times 0.1 = 5$.
$5$. Multiply the total by the percentage as a decimal to find the category value: $50 \times 0.1 = 5$.
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What is the category value if the total is $64$ and the pie slice is $\frac{3}{8}$?
What is the category value if the total is $64$ and the pie slice is $\frac{3}{8}$?
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$24$. Multiply the total by the fraction to find the category value: $64 \times \frac{3}{8} = 24$.
$24$. Multiply the total by the fraction to find the category value: $64 \times \frac{3}{8} = 24$.
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What is the category value if the total is $90$ and the pie slice is $\frac{1}{3}$?
What is the category value if the total is $90$ and the pie slice is $\frac{1}{3}$?
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$30$. Multiply the total by the fraction to find the category value: $90 \times \frac{1}{3} = 30$.
$30$. Multiply the total by the fraction to find the category value: $90 \times \frac{1}{3} = 30$.
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What is the category value if the total is $80$ and the pie slice is $25%$?
What is the category value if the total is $80$ and the pie slice is $25%$?
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$20$. Multiply the total by the percentage as a decimal to find the category value: $80 \times 0.25 = 20$.
$20$. Multiply the total by the percentage as a decimal to find the category value: $80 \times 0.25 = 20$.
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What is the total if a bar is at $28$ and this is $70%$ of the total?
What is the total if a bar is at $28$ and this is $70%$ of the total?
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$40$. Divide the bar value by the given percentage as a decimal to find the total: $28 \div 0.7 = 40$.
$40$. Divide the bar value by the given percentage as a decimal to find the total: $28 \div 0.7 = 40$.
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What is the total if a bar is at $45$ and this is $75%$ of the total?
What is the total if a bar is at $45$ and this is $75%$ of the total?
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$60$. Divide the bar value by the given percentage as a decimal to find the total: $45 \div 0.75 = 60$.
$60$. Divide the bar value by the given percentage as a decimal to find the total: $45 \div 0.75 = 60$.
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What is the total if a bar is at $12$ and this is $\frac{3}{8}$ of the total?
What is the total if a bar is at $12$ and this is $\frac{3}{8}$ of the total?
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$32$. Divide the bar value by the given fraction to find the total: $12 \div \frac{3}{8} = 32$.
$32$. Divide the bar value by the given fraction to find the total: $12 \div \frac{3}{8} = 32$.
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What is the total if a bar is at $18$ and this is $\frac{3}{4}$ of the total?
What is the total if a bar is at $18$ and this is $\frac{3}{4}$ of the total?
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$24$. Divide the bar value by the given fraction to find the total: $18 \div \frac{3}{4} = 24$.
$24$. Divide the bar value by the given fraction to find the total: $18 \div \frac{3}{4} = 24$.
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What is the total if a bar is at $24$ and this is $\frac{2}{3}$ of the total?
What is the total if a bar is at $24$ and this is $\frac{2}{3}$ of the total?
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$36$. Divide the bar value by the given fraction to find the total: $24 \div \frac{2}{3} = 36$.
$36$. Divide the bar value by the given fraction to find the total: $24 \div \frac{2}{3} = 36$.
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What is the total if a bar is at $30$ and this is $\frac{3}{5}$ of the total?
What is the total if a bar is at $30$ and this is $\frac{3}{5}$ of the total?
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$50$. Divide the bar value by the given fraction to find the total: $30 \div \frac{3}{5} = 50$.
$50$. Divide the bar value by the given fraction to find the total: $30 \div \frac{3}{5} = 50$.
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What percent of a whole does a pie slice represent if its central angle is about $144^\circ$?
What percent of a whole does a pie slice represent if its central angle is about $144^\circ$?
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$40%$. Convert the angle fraction to percent by calculating $(144 \div 360) \times 100 = 40%$.
$40%$. Convert the angle fraction to percent by calculating $(144 \div 360) \times 100 = 40%$.
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What percent of a whole does a pie slice represent if its central angle is about $36^\circ$?
What percent of a whole does a pie slice represent if its central angle is about $36^\circ$?
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$10%$. Convert the angle fraction to percent by calculating $(36 \div 360) \times 100 = 10%$.
$10%$. Convert the angle fraction to percent by calculating $(36 \div 360) \times 100 = 10%$.
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What is the difference between two bar heights $35$ and $20$ as read from a bar graph?
What is the difference between two bar heights $35$ and $20$ as read from a bar graph?
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$15$. Subtract the smaller bar height from the larger one: $35 - 20 = 15$.
$15$. Subtract the smaller bar height from the larger one: $35 - 20 = 15$.
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What fraction of a whole does a pie slice represent if its central angle is about $45^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $45^\circ$?
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$\frac{1}{8}$. A central angle of $45^\circ$ represents one-eighth of a full $360^\circ$ circle, as $45 \div 360 = \frac{1}{8}$.
$\frac{1}{8}$. A central angle of $45^\circ$ represents one-eighth of a full $360^\circ$ circle, as $45 \div 360 = \frac{1}{8}$.
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What is the ratio of two bar heights $12$ to $36$ in simplest form?
What is the ratio of two bar heights $12$ to $36$ in simplest form?
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$1:3$. Divide both heights by their greatest common divisor to simplify the ratio: $12:36 \div 12 = 1:3$.
$1:3$. Divide both heights by their greatest common divisor to simplify the ratio: $12:36 \div 12 = 1:3$.
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What is the approximate fraction if a bar reaches about $6$ on a scale from $0$ to $12$?
What is the approximate fraction if a bar reaches about $6$ on a scale from $0$ to $12$?
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$\frac{1}{2}$. Divide the bar height by the maximum scale value and simplify: $6 \div 12 = \frac{1}{2}$.
$\frac{1}{2}$. Divide the bar height by the maximum scale value and simplify: $6 \div 12 = \frac{1}{2}$.
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What fraction of a whole does a pie slice represent if its central angle is about $90^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $90^\circ$?
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$\frac{1}{4}$. A central angle of $90^\circ$ represents one-quarter of a full $360^\circ$ circle, as $90 \div 360 = \frac{1}{4}$.
$\frac{1}{4}$. A central angle of $90^\circ$ represents one-quarter of a full $360^\circ$ circle, as $90 \div 360 = \frac{1}{4}$.
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What is the approximate fraction if a bar reaches about $8$ on a scale from $0$ to $10$?
What is the approximate fraction if a bar reaches about $8$ on a scale from $0$ to $10$?
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$\frac{4}{5}$. Divide the bar height by the maximum scale value and simplify: $8 \div 10 = \frac{4}{5}$.
$\frac{4}{5}$. Divide the bar height by the maximum scale value and simplify: $8 \div 10 = \frac{4}{5}$.
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What is the approximate fraction if a bar reaches about $9$ on a scale from $0$ to $12$?
What is the approximate fraction if a bar reaches about $9$ on a scale from $0$ to $12$?
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$\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $9 \div 12 = \frac{3}{4}$.
$\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $9 \div 12 = \frac{3}{4}$.
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What is the total of two bar heights $18$ and $27$ as read from a bar graph?
What is the total of two bar heights $18$ and $27$ as read from a bar graph?
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$45$. Add the heights of the two bars directly from the graph: $18 + 27 = 45$.
$45$. Add the heights of the two bars directly from the graph: $18 + 27 = 45$.
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What is the approximate fraction if a bar reaches about $15$ on a scale from $0$ to $20$?
What is the approximate fraction if a bar reaches about $15$ on a scale from $0$ to $20$?
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$\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $15 \div 20 = \frac{3}{4}$.
$\frac{3}{4}$. Divide the bar height by the maximum scale value and simplify: $15 \div 20 = \frac{3}{4}$.
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What fraction of a whole does a pie slice represent if its central angle is about $72^\circ$?
What fraction of a whole does a pie slice represent if its central angle is about $72^\circ$?
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$\frac{1}{5}$. A central angle of $72^\circ$ represents one-fifth of a full $360^\circ$ circle, as $72 \div 360 = \frac{1}{5}$.
$\frac{1}{5}$. A central angle of $72^\circ$ represents one-fifth of a full $360^\circ$ circle, as $72 \div 360 = \frac{1}{5}$.
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