180°: Challenge & Extension
Mathematics
Grade 6
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept that angles on a straight line sum to 180°. Includes procedural, problem-solving, real-world, and extension questions.
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180°: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the unknown angle if one angle on a straight line measures 70° and the other is x°.
[2 marks]2.
On a straight line, two angles are 45° and 60°. What is the measure of the third angle?
[2 marks]3.
Construct a straight line with two angles measuring 85° and x°. Find the value of x.
[3 marks]4.
If an angle on a straight line is 130°, what is the measure of its supplementary angle?
[2 marks]B
Fluency & Practice
Solve these procedural questions to reinforce your understanding of angles on a straight line.
1.
Find the missing angle x° if the two angles on a straight line are 3x° and 2x°.
[3 marks]2.
Two angles on a straight line measure 110° and y°. Find y.
[2 marks]C
Problem Solving & Reasoning
Apply your knowledge to multi-step problems involving straight angles.
1.
A straight line has three angles: 40°, x°, and 2x°. Find the value of x and the third angle.
[4 marks]2.
In a straight line, the angles are in the ratio 2:3. If one angle is 80°, what is the measure of the other?
[3 marks]D
Real-world Applications
Solve these word problems based on real-life scenarios involving straight angles.
1.
A carpenter cuts two pieces of wood to form a straight joint. One piece has an angle of 95°. What is the angle of the other piece?
[3 marks]2.
A muralist designs a mural with a straight edge and measures an angle of 75° inside the artwork. What is the angle outside the artwork if it forms a straight line?
[3 marks]E
Challenge & Extension
Tackle these advanced problems to deepen your understanding of straight angles and related concepts.
1.
Construct a straight line with three angles: x°, 2x°, and 3x°. Find the value of x and all three angles.
[4 marks]2.
In a straight line, two angles are supplementary and one angle measures 65°. Find the other two angles.
[3 marks]F
Mixed Review & Error Analysis
Review these questions to consolidate your learning and identify common mistakes.
1.
A student calculates an angle on a straight line as 200°. Is this correct? If not, explain and correct the mistake.
[3 marks]2.
A student states that the angles 120° and 70° are on a straight line. Identify the mistake and find the correct angles.
[3 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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet