Each Angle: Real-world Applications in Science Experiments
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of Each Angle in polygons, focusing on real-world applications related to science experiments. Students will apply exterior angle concepts to practical scenarios, develop problem-solving strategies, and analyze common mistakes.
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Full preview • 11 questions
Each Angle: Real-world Applications in Science Experiments
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.
In a science experiment, a polygonal frame has 5 sides. Calculate the size of each exterior angle if they are all equal.
[2 marks]2.
A scientist constructs a hexagonal apparatus. Find the measure of each exterior angle of the hexagon.
[2 marks]3.
Calculate the sum of all exterior angles of any convex polygon.
[2 marks]4.
A polygon has exterior angles measuring 45°, 60°, and 75°. What is the measure of the remaining exterior angles if the polygon has 8 sides?
[3 marks]5.
During a science experiment, a researcher needs a polygon with each exterior angle measuring 30°. How many sides does this polygon have?
[2 marks]6.
A researcher builds a decagon-shaped sensor array. Confirm the measure of each exterior angle.
[2 marks]7.
Explain why the sum of all exterior angles of a polygon always equals 360°, regardless of the number of sides.
[3 marks]8.
A hexagon has exterior angles measuring 70°, 60°, and 50°. The remaining exterior angles are equal. Find the measure of each remaining exterior angle.
[3 marks]9.
Identify and correct the mistake in this reasoning: 'Since a quadrilateral has four sides, each exterior angle is 90°, so total exterior angles are 4×90°=360°. Therefore, each exterior angle of a regular quadrilateral is 90°.'
[3 marks]10.
Construct a regular octagon on the grid and estimate the measure of each exterior angle.
[4 marks]11.
A scientific experiment involves a polygonal shape with exterior angles measuring 45° each. How many sides does this polygon have? Confirm your answer with calculations.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet