Question 10 — IGCSE 0580 May/June 2025 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 5 marks.
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Question text
10
A
NOT TO
65° SCALE
O
y°
x°
C
B
A, B and C are points on a circle, centre O, diameter AC.
Complete these statements, giving geometrical reasons.
(a) The value of x is .......................... because .................................................................................
..................................................................................................................................................... [2]
(b) Angle ABC = 90° because .........................................................................................................
..................................................................................................................................................... [1]
(c) The value of y is .......................... because .................................................................................
..................................................................................................................................................... [2]
(cid:300)(cid:209)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:181)(cid:254)(cid:215)
© UCLES 2025 (cid:300)(cid:194)(cid:269)(cid:250)(cid:205)(cid:294)(cid:253)(cid:270)(cid:208)(cid:239)(cid:251)(cid:247)(cid:185)(cid:217)(cid:265)(cid:204)(cid:269)(cid:258) 0580/32/M/J/25
(cid:293)(cid:293)(cid:293)(cid:277)(cid:181)(cid:181)(cid:261)(cid:277)(cid:181)(cid:245)(cid:293)(cid:197)(cid:197)(cid:277)(cid:197)(cid:213)(cid:181)(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
* 0000800000007 *
7
(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:1)(cid:8)(cid:44)
NIGRAM
DFD
Mark scheme
