AQA · Mathematics · 8300
GCSE Maths: Coordinates
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Coordinates (Corbettmaths Video 84), 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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A coordinate is written as (?, y), where the first value represents the horizontal position.
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x
A coordinate is written as (x, ?), where the second value represents the vertical position.
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y
What are the coordinates of the origin on a coordinate grid?
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(0, 0)
What sign (positive or negative) do x-coordinates have in the left half of a coordinate plane?
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Negative. Points to the left of the y-axis have negative x-coordinates.
What sign (positive or negative) do y-coordinates have below the x-axis?
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Negative. Points below the x-axis have negative y-coordinates.
What is the formula for the x-coordinate of the midpoint between points (x₁, y₁) and (x₂, y₂)?
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(x₁ + x₂) / 2
What is the midpoint between A(2, 9) and B(10, 1)?
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(6, 5). Calculate ((2+10)/2, (9+1)/2) = (12/2, 10/2) = (6, 5).
What is the midpoint between C(5, 14) and D(11, 4)?
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(8, 9). Calculate ((5+11)/2, (14+4)/2) = (16/2, 18/2) = (8, 9).
What is the midpoint between A(−8, 3) and B(−2, 19)?
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(−5, 11). Calculate ((−8+(−2))/2, (3+19)/2) = (−10/2, 22/2) = (−5, 11).
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