Question 21 — IGCSE 0580 Oct/Nov 2025 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Algebra · Proportion. Worth 4 marks.
Open in interactive question bank →
Question text
21 y is inversely proportional to (x+2)2.
w is proportional to x.
When y = 8, x = 3.5 .
When w = 15, x = 90.
Find y in terms of w.
y = ................................................ [4]
(cid:300)(cid:207)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:181)(cid:258)(cid:215)
© UCLES 2025 (cid:300)(cid:260)(cid:187)(cid:243)(cid:209)(cid:287)(cid:287)(cid:243)(cid:222)(cid:250)(cid:248)(cid:184)(cid:223)(cid:211)(cid:281)(cid:178)(cid:257)(cid:258) 0580/42/O/N/25
(cid:293)(cid:213)(cid:213)(cid:213)(cid:181)(cid:245)(cid:197)(cid:245)(cid:261)(cid:277)(cid:197)(cid:261)(cid:197)(cid:277)(cid:197)(cid:213)(cid:181)(cid:213)
ON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000016 *
16
(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:7)(cid:44)
BLANK PAGE
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.
(cid:300)(cid:205)(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:181)(cid:260)(cid:215)
© UCLES 2025 (cid:300)(cid:260)(cid:187)(cid:242)(cid:209)(cid:293)(cid:269)(cid:246)(cid:217)(cid:248)(cid:239)(cid:175)(cid:253)(cid:239)(cid:187)(cid:226)(cid:249)(cid:258) 0580/42/O/N/25
(cid:293)(cid:293)(cid:261)(cid:213)(cid:245)(cid:245)(cid:197)(cid:213)(cid:293)(cid:181)(cid:181)(cid:261)(cid:261)(cid:277)(cid:293)(cid:213)(cid:229)(cid:213)
NIGRAM
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
DFD
Mark scheme
