Finding Missing: Real-world Applications in Architecture & Design
Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on finding missing angles formed at a point, especially in architectural contexts. Students will practice calculating unknown angles using their understanding of angles at a point and real-world design scenarios.
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Finding Missing: Real-world Applications in Architecture & Design
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circular window design, three angles at a point are 40° and 75°. Find the third angle.
[2 marks]2.
A skylight features four angles meeting at a point. Three of the angles are 85°, 50°, and 70°. Calculate the missing angle.
[2 marks]3.
A pentagon window frame has angles formed at a corner measuring 110° and 45°. Find the angle at the vertex assuming the angles at that point sum to 360°.
[2 marks]4.
Fluency & Practice: Calculate the missing angle at a junction where two beams meet, given the other two angles are 60° and 110°.
[3 marks]5.
In a dome structure, four angles at a point are 90°, 85°, 70°, and an unknown angle. Find the unknown angle.
[2 marks]6.
Problem Solving & Reasoning: An architect designs a circular atrium with four main beams meeting at a point. The angles between them are 45°, 60°, and 80°. Find the fourth angle and explain your reasoning.
[4 marks]7.
A window design has five angles at a point, with four angles measuring 50°, 70°, 40°, and 80°. Find the fifth angle.
[2 marks]8.
Challenge & Extension: In a complex architectural feature, five angles at a point add up to 360°. Four of the angles are 85°, 95°, 45°, and 60°. Find the unknown angle and describe the steps.
[4 marks]9.
Mixed Review: If one angle at a point is 120°, and another is 30°, what is the sum of the remaining three angles?
[3 marks]10.
Error Analysis: A student calculated a missing angle as 150° when the other angles were 60°, 70°, and 80°. Identify and explain the mistake.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet