Finding Missing: Error Analysis & Misconceptions
Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding missing angles at a point, designed to address common errors, misconceptions, and reinforce procedural understanding through varied questions.
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Finding Missing: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer the following questions involving basic calculations of missing angles at a point. Show your working in the grid spaces provided.
1.
In a diagram, three angles at a point are 120° and 40°. Find the missing angle.
[2 marks]2.
Calculate the angle at a point if two angles are 75° and 85°.
[2 marks]3.
A point has angles measuring 50°, 60°, and an unknown angle. Find the missing angle.
[2 marks]4.
If one angle at a point is 135°, and another is 25°, what is the third?
[2 marks]B
Problem Solving & Reasoning
Work through these multi-step problems involving angles at a point. Provide clear reasoning.
1.
At a crossroads, four angles around a point are given as 90°, 70°, 50°, and an unknown angle. Find the missing angle and explain your reasoning.
[4 marks]2.
Two angles at a point are 110° and 130°. The third angle is twice the size of the fourth. Find all four angles.
[4 marks]3.
Explain why the sum of angles at a point can never be less than 360° or more than 360°.
[3 marks]C
Real-world Applications
Apply your understanding to solve these real-world scenarios involving angles at a point.
1.
A traffic light is designed with three rays meeting at a point. If two rays form angles of 100° and 80°, what is the angle between the remaining rays?
[3 marks]2.
A circular sculpture has four panels meeting at a single point with angles of 90°, 85°, 95°, and an unknown angle. Find the unknown angle.
[2 marks]D
Challenge & Extension
Tackle these more advanced problems to extend your understanding of angles at a point.
1.
Construct a diagram where four angles at a point are in the ratio 1:2:3:4. Calculate each angle.
[3 marks]2.
If the sum of three angles at a point is 250°, what is the measure of the fourth? Show your working.
[3 marks]E
Mixed Review & Error Analysis
Identify the errors in the following student responses and correct them.
1.
Student states: 'Angles at a point can sum to more than 360°.' Is this correct? If not, explain and correct the statement.
[2 marks]2.
A student calculates the missing angle as 150° when the known angles are 100° and 80°. Identify the mistake and provide the correct answer.
[2 marks]3.
A diagram shows three angles at a point as 90°, 120°, and 60°. The student claims the remaining angle is 60°. Is this correct? Explain.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet