is a straight line with = 5 : 2
Work out the coordinates of .
[4]
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is a straight line with = 5 : 2
Work out the coordinates of .
[4]
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A sketch of the lines and is shown.
Work out the area of triangle OPQ.
.................................. units2[3]
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M is the midpoint of the line AB.
Work out the values of and .
............................ ............................[2]
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Work out the equation of the straight line that is
parallel to the line
and
intersects the -axis at (4, 0)
[3]
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Work out the distance between the points (–3, 7) and (5, 1)
........................ units [2]
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Here are four sketch graphs.
Circle the letter of the sketch graph that represents
[1]
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and are points on the line
and (5, 0) are points on the line L.
= 1 : 4
Work out the -coordinate of .
[5]
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A straight line passes through the points (−2, 11) and (1, 2)
Work out the equation of the line.
Give your answer in the form
[3]
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is a straight line.
is the point (−4, 5)
is the point (20, −7)
Work out the coordinates of .
[4]
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Here is a sketch of quadrilateral .
is the midpoint of .
Use gradients to show that is parallel to .
[3]
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is the point
is the point
is the point
is the midpoint of .
Work out the values of and .
[3]
.......................... ..........................
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In the diagram,
A is the point (15, 0) and B lies on the -axis.
Angle ABC = 90° and tan =
Work out the equation of the line BC.
[4]
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P and Q are points on a straight line with gradient 12
Work out one possible pair of integer values for and .
.................. ....................[2]
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Here is a sketch of triangle ABC.
P is a point on AB.
AP : PB is 3 : 1
Work out the length PC.
Give your answer to 4 significant figures.
................................ units[4]
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and are points on a coordinate grid.
Show that the line segments and are perpendicular.
[3]
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L is a straight line with equation
where and are non-zero integers.
At which point does L intersect the -axis?
Circle your answer.
[1]
What is the gradient of a line parallel to L?
Circle your answer.
[1]
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Work out the point of intersection of the lines
and
[4]
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and are joined by a straight line.
is a point on .
Work out the coordinates of .
[3]
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