Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 17 — Chapter 17: Circles
Time Allowed: 32 minutes
Max Marks: 16
1. What is the relationship between central and inscribed angles on the same arc? [1]
(A) Central angle is twice the inscribed angle
(B) They are always equal
(C) Inscribed angle is twice the central angle
(D) No relationship exists
2. What is true about angles in the same segment? [1]
(A) They are equal
(B) They are always different
(C) They sum to 90°
(D) They sum to 180°
3. What is the angle in a semicircle? [1]
(A) 90°
(B) 180°
(C) 45°
(D) 60°
4. What is a cyclic quadrilateral? [1]
(A) A quadrilateral inscribed in a circle
(B) Any four-sided shape
(C) A triangle inscribed in a circle
(D) A square only
5. What do opposite angles in a cyclic quadrilateral sum to? [1]
(A) 180°
(B) 360°
(C) 90°
(D) 270°
6. Why are opposite angles supplementary in a cyclic quadrilateral? [1]
(A) This is a key circle theorem property
(B) No specific reason
(C) It's random
(D) It never happens
7. Why learn circle theorems? [1]
(A) To solve geometry problems with circles
(B) No reason
(C) It's not useful
(D) Only for tests
8. What is the semicircle angle theorem a special case of? [1]
(A) The angle-arc relationship
(B) The cyclic quadrilateral theorem
(C) No specific theorem
(D) Random chance
9. What is the relationship between central and inscribed angles on the same arc? [1]
(A) Central angle is twice the inscribed angle
(B) They are always equal
(C) Inscribed angle is twice the central angle
(D) No relationship exists
10. What is true about angles in the same segment? [1]
(A) They are equal
(B) They are always different
(C) They sum to 90°
(D) They sum to 180°
11. What is the angle in a semicircle? [1]
(A) 90°
(B) 180°
(C) 45°
(D) 60°
12. What is a cyclic quadrilateral? [1]
(A) A quadrilateral inscribed in a circle
(B) Any four-sided shape
(C) A triangle inscribed in a circle
(D) A square only
13. What do opposite angles in a cyclic quadrilateral sum to? [1]
(A) 180°
(B) 360°
(C) 90°
(D) 270°
14. Why are opposite angles supplementary in a cyclic quadrilateral? [1]
(A) This is a key circle theorem property
(B) No specific reason
(C) It's random
(D) It never happens
15. Why learn circle theorems? [1]
(A) To solve geometry problems with circles
(B) No reason
(C) It's not useful
(D) Only for tests
16. What is the semicircle angle theorem a special case of? [1]
(A) The angle-arc relationship
(B) The cyclic quadrilateral theorem
(C) No specific theorem
(D) Random chance