Chord: Error Analysis & Misconceptions
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores common errors and misconceptions related to chords in circles, helping students develop accurate understanding through varied questions.
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Full preview • 11 questions
Chord: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle with radius 10 cm, a chord is 16 cm long. Calculate the distance from the center of the circle to the chord.
[3 marks]2.
A chord of length 12 cm is drawn in a circle. If the distance from the center to the chord is 5 cm, find the radius of the circle.
[3 marks]3.
Construct a chord of length 8 cm in a circle with radius 10 cm. Label the points.
[4 marks]4.
Plot the graph of y=2x for x values from -5 to 5 on the grid.
[2 marks]B
Problem Solving & Reasoning
Answer all questions in detail, explaining your reasoning.
1.
A chord in a circle is 14 cm long, and the distance from the center to the chord is 9 cm. Find the radius of the circle. Explain each step.
[4 marks]2.
Explain why a longer chord in the same circle is closer to the center than a shorter chord.
[3 marks]C
Real-world Applications
Solve the following word problems related to chords in real contexts.
1.
A circular garden has a diameter of 20 meters. A gardener wants to plant a flower bed that is shaped like a chord in the garden, 8 meters long. How far from the center of the garden is the flower bed? Show your calculations.
[4 marks]D
Challenge & Extension
Attempt these advanced problems. Show your detailed working.
1.
In a circle with radius 25 cm, a chord is 30 cm long. Find the distance from the center to the chord and verify if this chord is a diameter or not.
[3 marks]2.
Prove that in any circle, the perpendicular bisector of a chord passes through the circle's center. Write your reasoning.
[4 marks]E
Mixed Review & Error Analysis
Identify the mistake or misconception in each statement and correct it.
1.
A student states: 'All chords in a circle are the same length.' Is this correct? If not, explain the error and give a counterexample.
[3 marks]2.
A common mistake is to think that the distance from the center to a chord is always less than the radius. Explain why this is false with an example.
[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