Mathematics > GCSE MARK SCHEME > Mark Scheme (Results) January 2021 Pearson Edexcel International GCSE Mathematics A (4MA1) Paper 2HR (All)
International GCSE Maths Apart from Q9, 10, 12, 17b, 18, 19a & 21 (where the mark scheme states otherwise) the correct answer, unless obtained from an incorrect method, should be taken to imply a co... rrect method. Q Working Answer Mark Notes 1 (a) 5 × (–2)2 – (–2)3 ( = 20 – –8) 2 M1 for correct expression or at least one of 20 or 5 × 4 or – – 8 or (+) 8 28 A1 (b) 2p(4p – 1) 2 B2 B1 for p(8p – 2) or 2(4p2 – p) or 2p(4p – 1) with two terms inside the bracket with one term correct. (c) 12t2 – 8t 2 B2 B1 for 12t2 or – 8t (d) 5x2 + 20x – 2x – 8 2 M1 for 4 correct terms (ignoring signs) or 3 correct terms with correct signs. or 5x2 + 18x + … or … + 18x − 8 5x2 + 18x – 8 A1 Total 8 marks 2 0.5 × × 62 ( = 56.54…) or 12 × 6 ( = 72) or × 62 oe 3 M1 “72” – “56.54…” M1 dep M1 for a complete method 15.5 A1 15.4 to 15.5 Total 3 marks3 (a) (i) 24, 30 1 B1 No repeats, omissions or extra values (ii) 21, 23, 25, 27, 29 1 B1 No repeats, omissions or extra values (b) (A ∪ B)' or A' ∩ B' 1 B1 or (B ∪ A)' or B' ∩ A' Total 3 marks 4 (a) 81k8 2 B2 B1 for 81 or k8 seen in their final answer. (b) 7m4n6 2 B2 B1 for 7m4 or n6 in a product with no other terms in m or n Total 4 marks 5 (a) vertices at (–9, 6) (–9, 9) (–3, 9) (–6, 6) Shape in correct position 2 B2 B1 for congruent shape in correct orientation but wrong position or quadrilateral with 2 or 3 vertices correct. (b) vertices at (7, 3) (10, 6) (13, 6) (13, 3) Shape in correct position 1 B1 (c) enlargement scale factor 2 centre (– 3, 3) 3 B1 B1 B1 for enlargement, enlarge, etc so long as no mention of rotation, reflection or translation, flip, move etc. SF 2, double, two times etc. (– 3, 3) stated. Accept about, from etc. with no mention of line, or column vector. Total 6 marks6 x × 1.05 = 1.26 oe eg (x =) 1.26 ÷ 1.05 oe (= 1.2) or 30 × 1.26 (= 37.80) or 30 ÷ 1.05 (= 28.57) 3 M1 30 ד1.2” "37.80” ÷ 1.05 “28.57…” × 1.26 M1 36 A1 cao If no marks awarded, SC B1 for one operation used correctly, even with another incorrect operation. eg 1.26 0.95 30 oe or 1.26 1.05 30 oe or 1.26 0.95 30 oe Total 3 marks 7 y ≥ 1 oe x ≤ 3 oe y ≤ 3x – 2 oe 3 B1 B1 B1 Allow 1 ≤ y ≤ 7 Allow 1 ≤ x ≤ 3 Condone < and > in place of ≤ and ≥ throughout. SC B1 if no marks awarded, recognition of lines x = 3 and y = 1. Allow incorrect inequality and condone use of equals signs eg y < 1, x = 3 may be seen on diagram [Show More]
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