Question 20 — IGCSE 0580 Oct/Nov 2025 Paper 31
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Geometrical terms and vocabulary. Worth 4 marks.
Open in interactive question bank →
Question text
20 (a) Work out the size of one interior angle of a regular 8-sided polygon.
................................................. [2]
(b)
D
NOT TO
C SCALE
x°
B
71°
O
E
A
A, B and C lie on the circumference of the circle, centre O.
AB is a diameter .
DBE is a tangent to the circle at B.
Find the value of x.
Give a geometrical reason for your answer .
................ because ......................................................................................................................
..................................................................................................................................................... [2]
(cid:300)(cid:211)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:184)(cid:256)(cid:215) [Turn over
© UCLES 2025 (cid:300)(cid:296)(cid:177)(cid:250)(cid:214)(cid:291)(cid:264)(cid:283)(cid:205)(cid:243)(cid:237)(cid:190)(cid:240)(cid:200)(cid:228)(cid:201)(cid:242)(cid:258) 0580/31/O/N/25
(cid:293)(cid:181)(cid:181)(cid:213)(cid:245)(cid:213)(cid:229)(cid:213)(cid:197)(cid:245)(cid:197)(cid:261)(cid:261)(cid:213)(cid:229)(cid:213)(cid:213)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000014 *
14
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)
NIGRAM
DFD
Mark scheme
