Chord: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the properties and calculations involving chords in a circle, designed for GCSE Higher students to develop procedural fluency and problem-solving skills.
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Full preview • 11 questions
Chord: Fluency & Practice
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle of radius 10 cm, a chord is 16 cm long. Calculate the perpendicular distance from the center of the circle to the chord.
[3 marks]2.
A chord in a circle is 12 cm long, and the radius of the circle is 13 cm. Find the distance from the center of the circle to the chord.
[3 marks]3.
Construct a circle with a radius of 8 cm and draw a chord that is 12 cm long. Show the construction steps.
[4 marks]4.
A circle has a radius of 15 cm. A chord is 24 cm long. Calculate the distance from the center to the chord.
[3 marks]5.
If a chord is 10 cm long in a circle with radius 13 cm, what is the length of the segment from the center of the circle to the midpoint of the chord?
[3 marks]6.
A circle with radius 20 cm has a chord that is 30 cm long. Calculate the distance from the circle's center to the chord.
[3 marks]7.
A circle of radius 9 cm has a chord 15 cm long. Find the perpendicular distance from the center to the chord.
[3 marks]8.
A circle has a radius of 14 cm. A chord of length 20 cm is drawn. Determine the distance from the center of the circle to this chord.
[3 marks]9.
A circle with radius 12 cm has a chord that is 10 cm long. Calculate the distance from the center to the midpoint of the chord.
[3 marks]10.
A circle of radius 18 cm has a chord of length 24 cm. Calculate the perpendicular distance from the circle's center to the chord.
[3 marks]11.
Identify and correct the mistake in the following statement: 'In a circle, the longer the chord, the closer it is to the center.'
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet