Practice: Applying the Midpoint of a Line Segment
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A practice worksheet focusing on calculating and applying the midpoint of a line segment through procedural questions, reasoning, and real-world contexts.
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Practice: Applying the Midpoint of a Line Segment
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the midpoint of the line segment with endpoints at (2, 3) and (8, 7).
[2 marks]2.
Calculate the midpoint of the segment connecting points (-4, 10) and (6, -2).
[2 marks]3.
Construct the line segment with endpoints at (1, -3) and (7, 5). What are the coordinates of its midpoint? Show your working.
[3 marks]4.
If a line segment has endpoints at (x1, y1) and (x2, y2), and its midpoint is (3, 4), find the possible values of (x1, y1) when (x2, y2) are (-1, 8).
[3 marks]5.
A student claims that the midpoint of points (2, 3) and (6, 7) is (4, 5). Is this correct? Explain your reasoning.
[3 marks]6.
A line segment has endpoints at (x, 2) and (4, y). If its midpoint is at (3, 4), find x and y.
[3 marks]7.
Plot the points (1, 2) and (5, 6) on the grid. Draw the line segment and mark its midpoint.
[2 marks]8.
Construct a triangle with vertices at (0, 0), (4, 0), and (2, 4). Find the coordinates of the midpoint of the segment connecting (0, 0) and (4, 0).
[2 marks]9.
In a real-world context, a bridge spans between two points at (2, 1) and (10, 9). Find the midpoint of the bridge's span in coordinate form.
[3 marks]10.
Identify and correct the mistake in the student's calculation: Midpoint of (3, 5) and (7, 9) is (5, 7).
[2 marks]11.
Challenge: The endpoints of a segment are at (x, y) and (10, 14). The midpoint is at (6, 9). Find the coordinates of (x, y).
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet