Sum = 360°: Challenge & Extension
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A challenging worksheet exploring the principle that the sum of interior angles in a quadrilateral is 360°, including practice, problem solving, real-world scenarios, and extension questions.
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Sum = 360°: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the missing angle in a quadrilateral where three angles are 85°, 90°, and 100°.
[2 marks]2.
In a quadrilateral, if three angles are 75°, 95°, and 100°, what is the measure of the fourth angle?
[2 marks]3.
A quadrilateral has angles measuring 110°, 85°, 75°, and an unknown angle. Find the unknown angle.
[2 marks]4.
Construct a quadrilateral where two adjacent angles are 120° and 70°, and the other two angles are equal. Show the angles on the grid.
[3 marks]5.
Plot a quadrilateral on the grid with angles measuring 90°, 80°, 100°, and the remaining angle.
[3 marks]6.
A real-world scenario: A rectangular garden has four corners with angles adding up to 360°. If three corners are right angles, what is the angle of the fourth corner?
[3 marks]7.
In a quadrilateral, two consecutive angles are 130° and 70°. The other two angles are equal. Find the measures of the remaining angles.
[3 marks]8.
Explain why the sum of angles in any quadrilateral must always be 360°, including a brief reasoning.
[3 marks]9.
Identify and correct the mistake: A student claims that the sum of angles in a quadrilateral is 400°. Find the error and correct it.
[3 marks]10.
Challenge: Construct a quadrilateral with three angles measuring 85°, 95°, and 100°. Determine and draw the fourth angle accurately on the grid, and label all angles.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet