Circles Final Assessment

Check your understanding of Circles

MathematicsGrade 10Mixed24 questions48 min

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Section A: Core Concepts · 6 questionsSection B: Theorem Applications · 6 questionsSection C: Proofs and Perimeters · 6 questionsSection D: Mixed Challenge · 6 questions

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Section A: Core Concepts

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

A segment joining the centre of a circle to a point on the circle is called:

Topic: Circle Basics · Skill: Identify radius, chord, secant and tangent

Question 2

EasyQuestion

A tangent to a circle has how many points of contact with the circle?

Topic: Tangent Basics · Skill: Recognise tangent at point of contact

Question 3

MediumQuestion

If $OT$ is radius and $PT$ is tangent at $T$ , then:

Topic: Radius-Tangent Theorem · Skill: State tangent-radius perpendicular theorem

Question 4

MediumQuestion

Which fact is used to prove tangent-radius perpendicular theorem?

Topic: Radius-Tangent Theorem · Skill: Prove tangent-radius perpendicular theorem

Question 5

MediumQuestion

In right triangle $OTP$ , $OT\perp PT$ . If $\angle OPT=25^\circ$ , find $\angle POT$ .

Topic: Radius-Tangent Applications · Skill: Find angles using tangent-radius relation

What this assignment covers

A mixed chapter assessment covering tangent theorems, lengths, proofs and applications.

Skills and sections

Identify radius, chord, secant and tangent, Recognise tangent at point of contact, State tangent-radius perpendicular theorem, Prove tangent-radius perpendicular theorem, Find angles using tangent-radius relation

Section A: Core Concepts: 6 questions
Section B: Theorem Applications: 6 questions
Section C: Proofs and Perimeters: 6 questions
Section D: Mixed Challenge: 6 questions