Circle Theorem ( O'level Revision)

Quiz
•
Mathematics
•
9th - 10th Grade
•
Medium
Standards-aligned
Aminath Zumra
Used 378+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
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
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
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
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
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
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
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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