Coordinates worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
The points \(D\), \(E\) and \(F\) are marked on the grid.
(a)State the coordinates of \(D\).
(b)State the coordinates of \(E\).
(c)State the coordinates of \(F\).
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4 marks
Every point of a shape is moved 1 unit to the left and 2 units down.
(a)The point \(A\) has coordinates \((-4, 4)\).
Write down the coordinates of the image of \(A\).
(b)The image of the point \(B\) has coordinates \((10, 7)\).
Write down the coordinates of \(B\).
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2 marks
\(A\) is the point \((4, 2)\) and \(B\) is the point \((10, 6)\).
Calculate the coordinates of the midpoint of \(AB\).
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2 marks
Four points are marked on the grid.
(a)Write down the coordinates of \(P\).
(b)One of the points has coordinates \((4, -2)\).
Write down the letter of that point.
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2 marks
\(P\) is the point \((5, -9)\).
\(P\) is reflected in the \(y\)-axis to give the point \(P'\).
Write down the coordinates of \(P'\).
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4 marks
\(ABCD\) is a rectangle. Its sides are parallel to the axes.
\(A\) is the point \((-7, -2)\) and \(C\) is the point \((5, 4)\).
(a)\(B\) is the point \((5, -2)\).
Write down the coordinates of \(D\).
(b)Calculate the coordinates of the centre of the rectangle.
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2 marks
\(EFGH\) is a parallelogram.
Three of its vertices are marked on the grid.
Calculate the coordinates of \(H\).
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3 marks
Three points are marked on the grid.
(a)State the coordinates of \(D\).
(b)State the coordinates of \(E\).
(c)State the coordinates of \(F\).
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2 marks
A straight line has been drawn on the grid.
It crosses the \(y\)-axis at \(L\) and the \(x\)-axis at \(M\).
(a)Write down the coordinates of \(L\).
(b)Write down the coordinates of \(M\).
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3 marks
The points \(P\), \(Q\) and \(R\) are marked on the grid.
(a)Write down the coordinates of \(P\).
(b)Write down the coordinates of \(Q\).
(c)Write down the coordinates of \(R\).
Answers
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(a) \((5, 4)\)
(b) \((-3, 3)\)
(c) \((-4, -2)\) -
(a) \((-5, 2)\)
(b) \((11, 9)\) - \((7, 4)\)
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(a) \((1, 3)\)
(b) S - \((-5, -9)\)
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(a) \((-7, 4)\)
(b) \((-1, 1)\) - \((4, 2)\)
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(a) \((16, 8)\)
(b) \((9, 8)\)
(c) \((3, 19)\) -
(a) \((0, 6)\)
(b) \((3, 0)\) -
(a) \((5, 5)\)
(b) \((-2, 1)\)
(c) \((-3, -4)\)