Midpoints: Real-world Applications
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering Midpoints within real-world contexts and vector geometry proofs, suitable for GCSE Foundation students.
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Full preview • 11 questions
Midpoints: Real-world Applications
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the midpoint of the line segment joining points A(2, 4) and B(8, 10).
[2 marks]2.
Calculate the midpoint of the points P(3, -2) and Q(-1, 6).
[2 marks]3.
Determine the midpoint of points C(0, 0) and D(10, 14).
[2 marks]4.
On a coordinate plane, points E(1, 3) and F(7, 11) are plotted. Find the coordinates of their midpoint.
[2 marks]5.
Construct a line segment with endpoints at (2, 5) and (8, 13). Mark the midpoint clearly on your grid.
[3 marks]6.
A park is represented on a grid with corner points at (3, 2) and (9, 8). Find the location of the midpoint of the diagonal connecting these points.
[3 marks]7.
A delivery route starts at (1, 2) and ends at (9, 10). Find the midpoint of the route to plan a rest stop.
[3 marks]8.
In a village, two points representing houses are at (4, 7) and (10, 15). Find the midpoint location to plan a community center.
[3 marks]9.
A boat travels from point G(2, 3) to H(14, 11). Determine the midpoint where the boat is halfway across the journey.
[3 marks]10.
A bridge connects two points on a river at (5, 2) and (5, 10). Find the midpoint to identify the central crossing point.
[2 marks]11.
A triangle has vertices at A(1, 2), B(5, 6), and C(9, 2). Find the midpoint of the segment AB.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet