IGCSE 0580 Question Bank

Question 26 — IGCSE 0580 Oct/Nov 2025 Paper 43

Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Further vectors (vector combinations). Worth 5 marks.

VectorsFurther vectors (vector combinations)5 marksExtendedCalculatorPaper 43Oct/Nov 2025
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Question text

26 F B C m NOT TO SCALE A E D p ABCD is a parallelogram. AB = m and AD = p. F is a point on BC and BF = 4FC. E is a point on AD and AE : ED = 1 : 2. (a) Find EF, in terms of m and p, in its simplest form. ................................................. [3] (b) EF and DC are extended to meet at the point G. Find CG, in terms of m and/or p, in its simplest form. ................................................. [2] (cid:300)(cid:213)(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:249)(cid:183)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:268)(cid:184)(cid:242)(cid:206)(cid:300)(cid:295)(cid:283)(cid:222)(cid:258)(cid:250)(cid:270)(cid:282)(cid:206)(cid:201)(cid:282)(cid:265)(cid:258) 0580/43/O/N/25 (cid:293)(cid:181)(cid:277)(cid:213)(cid:181)(cid:277)(cid:197)(cid:245)(cid:229)(cid:293)(cid:197)(cid:197)(cid:261)(cid:181)(cid:197)(cid:181)(cid:197)(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 * 0000800000019 * 19 (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:10)(cid:44) BLANK PAGE (cid:300)(cid:215)(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:183)(cid:258)(cid:215) © UCLES 2025 (cid:300)(cid:268)(cid:183)(cid:241)(cid:214)(cid:286)(cid:299)(cid:299)(cid:219)(cid:248)(cid:263)(cid:219)(cid:190)(cid:230)(cid:269)(cid:282)(cid:249)(cid:258) 0580/43/O/N/25 (cid:293)(cid:181)(cid:293)(cid:277)(cid:245)(cid:245)(cid:229)(cid:277)(cid:181)(cid:277)(cid:277)(cid:197)(cid:261)(cid:213)(cid:229)(cid:245)(cid:213)(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 * 0000800000020 * 20 (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:3)(cid:1)(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:213)(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:183)(cid:260)(cid:215) © UCLES 2025 (cid:300)(cid:268)(cid:183)(cid:244)(cid:214)(cid:296)(cid:281)(cid:286)(cid:224)(cid:250)(cid:256)(cid:212)(cid:288)(cid:266)(cid:175)(cid:266)(cid:257)(cid:258) 0580/43/O/N/25 (cid:293)(cid:261)(cid:181)(cid:277)(cid:181)(cid:245)(cid:229)(cid:181)(cid:213)(cid:181)(cid:293)(cid:197)(cid:197)(cid:213)(cid:261)(cid:245)(cid:197)(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

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Mark scheme for IGCSE 0580 Oct/Nov 2025 Paper 43 Question 26

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