Mastering Constructions & Loci
Mathematics
GCSE Foundation
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Constructions & Loci for GCSE Foundation students. This worksheet includes procedural questions to reinforce understanding and reasoning questions to develop problem-solving skills, culminating in real-world application problems.
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Mastering Constructions & Loci
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.
Using a ruler and compass, construct an equilateral triangle with side length 6 cm. Label the vertices.
[3 marks]2.
Construct the perpendicular bisector of a line segment of length 8 cm. Indicate the midpoint.
[3 marks]3.
Construct a circle with radius 4 cm centered at a given point P. Draw a tangent to the circle from an external point Q.
[4 marks]4.
Construct two intersecting lines. Mark the point of intersection.
[2 marks]5.
Construct a triangle given two sides of lengths 5 cm and 7 cm and the included angle of 60°. Show the construction steps.
[4 marks]6.
Construct the locus of points equidistant from points A and B, where AB is 10 cm. Describe the shape formed.
[4 marks]7.
A point P moves such that it is always 5 cm from point Q. Draw the locus of P.
[4 marks]8.
Given a triangle with vertices at A(0,0), B(6,0), and C(3,6), construct the median from A to BC. Label the midpoint of BC.
[3 marks]9.
Draw the locus of points that are equidistant from the two given lines: line 1: y=2x + 1, line 2: y=−2x + 5.
[4 marks]10.
A real-world scenario: A park has a circular pond with radius 3 meters. Construct the path of points at a distance of 2 meters from the pond's edge. Describe the shape.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet