Mathematics 0580/42 February/March 2026: question paper and mark scheme

Mark scheme

15(a)(ii) 10 − x 2 M1 for correct first step oe final answer 2 y 10 x = 10 – 2y , y – 10 = –2x, = − x or better 2 2 15(a)(iii) 8x2 – 80x + 203 final answer 3 M1 for 2(10 – 2x)2 + 3 oe B1 for 100 – 20x – 20x + 4x2 or better or 200 – 40x – 40x + 8x2 or better 15(b) 1 1 0.5 or oe 2 16 a = 80 3 B1 for a = 80 b = 0.955 or 0.9548 to 0.9549 B2 for b = 0.955 or 0.9548 to 0.9549 or M1 for 20 = their 80 × b30 oe or better soi 17 –0.75 oe nfww 3 B2 for 3x2 – 5x oe or B1 for one correct term 3x2 or –5x oe seen 18(a) 27.5 4 M1 for midpoints soi M1 for use of ∑fm with m in correct interval including both boundaries M1dep on 2nd M1 for ∑fm ÷ 90 Trace ID: PC-7854642F9C Re-uploading, mirroring or re-hosting this file on any other website or domain is unauthorised and traceable. Licensed for hosting on papacambridge.com only. PapaCambridge Downloaded from PapaCambridge - https://papacambridge.com/ 18(b) 10.4 3 B1 for each 19.2 13 36 6 1.6 If 0 scored, SC1 for two of , , oe seen 10 15 30 18(c) 72 3 36 6 oe M2 for × [×2] oe 287 42 41 36 6 6 36 or B1 for or or or oe seen 42 41 42 41 36 6 or M1 for × [×2] k k −1 12 or SC1 for answer oe 49 19(a)(i) –q 1

Mark scheme

19(a)(ii) –2p 1 19(a)(iii) q – p final answer 2 M1 for a correct route 19(b) 2p + 2q or 2(p + q) final answer 2 B1 for answer 2p + kq (k ≠ 0) or for answer kp + 2q (k ≠ 0) or for a correct but unsimplified answer 20(a) 113 000 or 113 200 2 1 or 113 220 to 113 221 M1 for × 450 × 600 × sin 57 oe 2 20(b) 450sin 34 M2 450 290 sin[ADC] = M1 for = oe 290 sin[ ADC ] sin 34 85.80 to 85.81 A2 M1dep on at least M1 for 180 – their ADC – 34 oe 20(c) 13.6 or 13.57[0…] nfww 6 B3 for [BD =] 849 or 849.2 to 849.3… or M2 for 2902 + 6002 − 2 × 290 × 600cos(85.8 + 57) oe or M1 for 2902 + 6002 − 2 × 290 × 600cos(85.8 + 57) oe 250 − 45 M2dep on M1 for tan = oe their 849 or M1 for recognition of right-angled triangle with their BD as base and 205 as height Trace ID: PC-7854642F9C Re-uploading, mirroring or re-hosting this file on any other website or domain is unauthorised and traceable. Licensed for hosting on papacambridge.com only. PapaCambridge Downloaded from PapaCambridge - https://papacambridge.com/ 21 11 nfww 3 123.75 123.7 to 123.8 M2 for or oe (2 to 3) × (4 to 5) 2.5 × 4.5 or M1 for 2.5 or 1.5 and 4.5 or 3.5 oe seen or 123.75 or 123.85 oe seen 22 6n–2 oe final answer 2 M1 for answer of form 6an[+b] oe (a > 0) [ b ]− an 1 or oe (a > 0) 6 or for correct answer seen then spoilt 23 39.8 and 219.8 nfww 4 Max 2 marks if angle A = 39.8 to 39.81 or 40 or angle A = 219.8 to 219.81 or 220 shown B3 for 140.2 and 320.2 as answers or shown in working or M3 for answer 39.8 with 140.2 or 320.2 shown in working or as answer or for answer 219.8 with 140.2 shown in working or as answer or B2 for 140.2 or 320.2 −2 − 0.5 or M1 for tan A = oe 3 If M1 or 0 scored, SC1 for two answers with a difference of 180° that lie in the range 0 to 360 Trace ID: PC-7854642F9C Re-uploading, mirroring or re-hosting this file on any other website or domain is unauthorised and traceable. Licensed for hosting on papacambridge.com only. PapaCambridge Downloaded from PapaCambridge - https://papacambridge.com/