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Circle Theorem Questions

Authored by Matthew Amison

Mathematics

10th Grade

Used 1+ times

Circle Theorem Questions
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11 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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B is a point on the circumference of a circle, centre O. AB is a tangent to the circle. Angle BOA = 72°. Work out the size of angle BAO. You must show all your working.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

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A, B, C and D are points on the circumference of a circle. Angle BOC = 66°. Find the size of angle BAC.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

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B and C are points on a circle, centre O. AB and AC are tangents to the circle. Angle BAC = 40°. Work out the size of angle BOC.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

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A, B, C and D are points on the circumference of a circle. Angle CAD = 62°, Angle ADB = 51°. Find the size of angle ACB.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

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A, B, C, and D are points on the circumference of a circle. Angle BAD = 94°, Angle ADC = 83°. Find the size of angle ABC.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

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A and B are points on the circumference of a circle, center O. Angle ABO = 48°. Find the size of angle AOB.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

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A and C are points on the circumference of a circle, centre O. AB and BC are tangents to the circle. Angle ABC = 46°. Find the size of angle OAC.

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