Practise questions · Salam Academy

SA-4024-GE-0061 markL1 FoundationNon-calculatorCircle angles

ABCD

is a cyclic quadrilateral with angle

DAB=78^\circ

. Find angle

BCD

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0082 marksL1 FoundationNon-calculatorCircle angles

AB

is a diameter of a circle and

C

is a point on the circle. Angle

CAB=35^\circ

. Find angle

ABC

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0012 marksL1 FoundationNon-calculatorCircle angles

A

,

B

and

C

lie on a circle with centre

O

. Angle

ACB=38^\circ

. Find the angle

AOB

at the centre, standing on the same arc.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0021 markL1 FoundationNon-calculatorCircle angles

A

,

B

,

C

and

D

lie on a circle, with

C

and

D

on the same side of the chord

AB

. Angle

ADB=41^\circ

. Write down angle

ACB

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0061 markL1 FoundationCalculatorTangents

The angle between a tangent and the radius at the point of contact is

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-Q011 markL1 FoundationCalculatorCircle angles

The angle in a semicircle is

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-Q021 markL1 FoundationCalculatorCircle angles

Angles in the same segment of a circle are

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0052 marksL2 StandardNon-calculatorCircle angles

A

,

B

and

C

lie on a circle with centre

O

.

C

is on the major arc, and angle

AOB=140^\circ

. Find angle

ACB

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0073 marksL2 StandardNon-calculatorTangents

Tangents from a point

P

touch a circle, centre

O

, at

A

and

B

. Angle

APB=48^\circ

. Find angle

AOB

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0032 marksL2 StandardNon-calculatorTangents

PA

is a tangent at

A

to a circle with centre

O

. Angle

AOP=55^\circ

. Find angle

APO

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0042 marksL2 StandardNon-calculatorCircle angles

Opposite angles of a cyclic quadrilateral are

3x

and

x+40^\circ

. Find

x

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE2-0053 marksL2 StandardNon-calculatorTangents

Two tangents from

P

touch a circle at

A

and

B

. Angle

APB=50^\circ

. Find angle

PAB

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-GE-0092 marksL3 ExamNon-calculatorTangents

The tangent to a circle at

A

makes an angle of

62^\circ

with the chord

AB

.

C

is a point on the circle in the alternate segment. Find angle

ACB

.

Salam Academy Original Practice · Proposed mark scheme

Question bank