Circles: Practice 1

Practise focused skills from Circles

MathematicsGrade 9Mixed10 questions20 min

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Focus question style

Section A: Core Practice · 5 questionsSection B: Application Practice · 5 questions

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Section A: Core Practice

Build the core ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

A cyclic quadrilateral has one angle equal to $70^\circ$ . What is the measure of its opposite angle?

Topic: Circle Basics · Skill: Define a circle using centre and radius

Question 2

MediumQuestion

In a circle, a perpendicular from the centre to a chord meets the chord at $M$ . What must be true about the chord?

Topic: Circle Vocabulary · Skill: Identify radius diameter chord arc sector and segment

Question 3

MediumQuestion

If two chords of a circle are equidistant from the centre, what can be concluded?

Topic: Circle Construction · Skill: Explain why three non-collinear points determine a unique circle

Question 4

MediumQuestion

During a construction problem on circle construction, what is the diameter of a circle whose radius is $7\,cm$ ?

Topic: Circle Construction · Skill: Construct circumcircle of a triangle

Question 5

MediumQuestion

A cyclic quadrilateral has one angle equal to $70^\circ$ . What is the measure of its opposite angle?

Topic: Circle Construction · Skill: Locate circumcentre for different triangle types

What this assignment covers

Progressive Grade 9 Math practice for Circle Basics to Chords and Central Angles.

Skills and sections

Define a circle using centre and radius, Identify radius diameter chord arc sector and segment, Explain why three non-collinear points determine a unique circle, Construct circumcircle of a triangle, Locate circumcentre for different triangle types

Section A: Core Practice: 5 questions
Section B: Application Practice: 5 questions