360°: Error Analysis & Misconceptions
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to angles at a point totaling 360°. Designed to enhance understanding through error analysis, practice, and problem solving.
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360°: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer the following questions to practice basic angle calculations at a point. Show all working in the grid spaces.
1.
Calculate the missing angle if the three angles at a point are 70°, 120°, and ?°.
[2 marks]2.
Two angles at a point are 200° and 150°. What is the measure of the third angle?
[2 marks]3.
If one angle at a point is 85°, and another is 95°, what is the sum of these two angles?
[2 marks]4.
Construct an angle at a point where two angles are 110° and 130°. What is the third angle?
[2 marks]B
Problem Solving & Reasoning
Apply your understanding to multi-step problems involving angles at a point.
1.
At a circular junction, three roads meet with angles measuring 80°, 100°, and an unknown angle. Verify if the angles at the junction form a straight line or a turn, and find the unknown angle if applicable.
[4 marks]2.
A corner has three angles: 150°, x°, and y°. The angles form a complete turn around a point. If x = 60°, find y and check if the angles sum to 360°.
[4 marks]C
Real-world Applications
Solve these word problems applying your understanding of angles at a point.
1.
A traffic roundabout has three roads meeting at a point. The angles between two roads are 85° and 95°. What is the measure of the third angle, and is the configuration physically possible?
[3 marks]2.
In a decorative design, four lines meet at a point forming four angles. If three of the angles are 90°, 100°, and 80°, what is the measure of the fourth angle? Does this arrangement make sense?
[3 marks]D
Challenge & Extension
Tackle these advanced problems to deepen your understanding.
1.
Construct a figure where four angles at a point are in the ratio 1:2:3:4. Calculate each angle and verify if they sum to 360°. Explain your reasoning.
[4 marks]2.
Prove that in any configuration where three angles are 110°, 130°, and x°, the fourth angle must be at least 80°. Provide reasoning and any assumptions.
[4 marks]E
Mixed Review & Error Analysis
Identify the mistakes in the following statements and correct them.
1.
A student claims that angles of 200°, 100°, and 60° at a point sum to 360°. Is this correct? If not, identify and correct the mistake.
[3 marks]2.
A diagram shows three angles at a point as 50°, 110°, and 200°. The student claims these form a straight line. Is this correct? Why or why not?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet