AQA · Mathematics · 8300
GCSE Maths: Graphs: pie charts (interpret)
Statistics · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Graphs: pie charts (interpret) (Corbettmaths Video 164), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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How do you identify the most common category in a pie chart?
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The category with the largest slice (sector).
How do you identify the least common category in a pie chart?
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The category with the smallest slice (sector).
If a pie chart shows a category is 1/4 of the circle and there are 300 total items, how many items are in that category?
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75 items. Multiply the total by the fraction: 300 × 1/4 = 75.
To find the number of items in a pie chart category, multiply the ? by the fraction that category represents.
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total
A pie chart sector represents 1/6 of the circle. What fraction of the total does the rest of the pie chart represent?
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5/6. The whole circle is 1, so 1 - 1/6 = 5/6.
In a pie chart, if one quarter of a circle represents 'lost' matches, what percentage does this represent?
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25%. One quarter equals 1/4 = 0.25 = 25%.
Can you determine from two pie charts alone which team won more total matches?
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No. Pie charts show proportions, not absolute numbers. You need the total number of matches each team played.
What mathematical operation converts a pie chart fraction to an actual count?
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Multiplication. Multiply the fraction by the total number of items.
In a pie chart, what does each sector represent proportionally?
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Each sector represents a proportion or fraction of the whole, with the angle of the sector corresponding to the frequency or count of that category.
If a pie chart sector for 'yellow sweets' appears twice as large as the sector for 'blue sweets', what is the ratio of yellow to blue?
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2:1. The ratio of counts equals the ratio of the sector angles.
If a pie chart sector for 'draws' is 60° and represents 5 matches, how many total matches does the whole pie chart represent?
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30 matches. 60° is 1/6 of 360°, so 5 matches = 1/6 of total; total = 5 × 6 = 30.
Why can you not compare absolute quantities across two pie charts with different totals?
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Pie charts show proportions, not absolute amounts. A larger sector in one chart may represent fewer items if that chart's total is smaller.
In a pie chart of 5760 hats, if medium hats are three times as numerous as large hats, and their combined angle is 180°, how many medium hats were sold?
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2160 medium hats. Combined they are 1/2 of 5760 = 2880. Medium = 3/4 of 2880 = 2160.
If the angle difference between two sectors in a pie chart is 36° and this represents a difference of 234 staff, how many staff does each degree represent?
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6.5 staff per degree. 234 ÷ 36 = 6.5.
In a pie chart, if a 90° sector represents 11,250 listeners, what is the total number of listeners represented?
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45,000 listeners. 90° is 1/4 of 360°, so total = 11,250 × 4 = 45,000.
A complete pie chart has a total angle of ? degrees.
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360
What is the formula to find the number of items in a pie chart sector if you know the sector angle, total angle, and total items?
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Items in sector = (sector angle ÷ 360°) × total items.
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