Circle Theorem ( O'level Revision)

Circle Theorem ( O'level Revision)

9th - 10th Grade

15 Qs

quiz-placeholder

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Circle Theorem ( O'level Revision)

Circle Theorem ( O'level Revision)

Assessment

Quiz

Mathematics

9th - 10th Grade

Medium

CCSS
HSG.C.A.2, HSG.C.A.3, HSG.C.B.5

Standards-aligned

Created by

Aminath Zumra

Used 378+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A, B, C and D lie on the circle, centre O, with diameter AC.

PQ is a tangent to the circle at A.

Angle PAD = 60° and angle BAC = 20°.

Find the values of u, v, w, x and y.

[u = 30.] [v = 60 ] . [w = 60 ], [x = 120,] [y = 40]

[u = 60.] [v = 20 ] . [w = 50 ], [x = 100,] [y = 30]

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

A, B and C lie on the circle, centre O.

Angle AOC = (3x+22)° and angle ABC = 5x°.

Find the value of x.

27

26

25

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

In the diagram, A, B, C and D lie on the circle, centre O.

Angle ADC = 128°, angle ACD = 28° , angle BCO = 30° and angle AOC = 104°.Find angle BAO. .

22

23

40

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

A, B and C are points on the circle, centre O.

Find the obtuse angle AOC.

100

260

65

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

x=32 , y= 58

x=29, y=58

x=32 , y=32

Tags

CCSS.HSG.C.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The diagram shows the vertices of a triangle lying on the circumference of a circle with centre O.

Find the value of b.

Give a reason for your answer.

b=90

angle in a semicircle is 90°

b=29

angle in a semicircle is 90°

b=30

sum of interior angles of triangle is 180°

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

A, B and C are points on the circle, centre O.

AB and OC intersect at P.

Find the value of w.

55

21

73

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