`EDEXCEL CORE MATHEMATICS C1 (6663) Question number 1. 10 + x2  x2  2x 10  2x x  5 SchemeMOCK PAPER MARK SCHEME Marks B1 M1 A1 (3 marks)2.x 3 x 1 x 3   4 3 1 34(A1 for 2 terms correct, A1 for all correct) M1 A1 A14x3 3x 3   x 1  C 3 4B1 (for C) (4 marks)3.(a) (b) (c)9B11(1) (2) (1) (4 marks)81 4 = 31 2733 = 27M1 A1 B1 ft4.(a) (b) (c)4k  7 4 (4k  7)  7 = 16k  35 16k  35 = 13 k=3B1 M1 A1 M1 A1 (2) (2)(5 marks) 5. (a) y = 8  2x 3x2 + x(8  2x) = 1 x2 + 8x  1 = 0 (b) x= (*) M1 A1 M1 A1 B1 M1 A1 (5) (2) 8  64  4 2= 4  ...68 = 2 17 ; x = ­4 + 2 17 or x = ­4 ­ 2 17 y = 8  2(4 + 17 ) = 16  2 17 or y = 16 + 2 17(7 marks)© Science Exam Papers1EDEXCEL CORE MATHEMATICS C1 (6663) Question number 6. (a) (b) (c) (2 x  1) ( x  4) x =2x 2  9x  4 xMOCK PAPER MARK SCHEME Marks1Scheme = 2x 2  9x 2  4x31 2[P = 2, Q = 9, R = 4]M1 A2(1, 0) (3) M1 A1 ft A1 (3) M1 A1 ft A1 (3) (9 marks)1 9 1 3 f  (x) = 3 x 2  x 2  2 x 2 2(A1 ft for one term, fractional power)9 11 2= 2 2Gradient of tangent = f  (1) = 3 + Gradient of line =11 , equal gradients, parallel. 27.x, (x  2)(x + 2) xB1, M1 A1(3)Shape B1 (­2, 0) (0, 0) (2, 0) y Through origin B1 (dep.) 2 and 2 B1 x Curve translated +1 parallel to x-axis B1 ft (­1, 0) (1, 0) (3, 0) y 1, 1 and 3 (B1 ft for one value) B1 ft B1 (3) (9 marks) 8. (a) Gradient of l2 is 1 y  2 =  (x  6) 3 1 3 1 y= x+4 3(3)B1 M1 A1 ft M1 A1 A1 ft B1 B1 ft M1 A1 (4) (3) (3)(b)1  x + 4 = 3x  6 3x=3 y=3(c)y = 0;l1 : x = 2l2: x = 121 (10  3) = 15 2(2, 0), (12, 0), (3, 3)Area of triangle =(10 marks)© Science Exam Papers2EDEXCEL CORE MATHEMATICS C1 (6663) Question Scheme number 9. (a) S = a + (a + d) + .....+ [a + (n  1)d] S = [a + (n  1) d] + ............... + a Add: (b) 2S = n[2a + (n  1)d], S=1 n[2a + (n  1)d] 2MOCK PAPER MARK SCHEME Marks B1 M1 (*) M1 A1 B1 M1 A1 3cm M1 A1 M1 A1 (5) (2) (4)a + 15d = 61 n[2a + (n  1)d] = 8 (2a + 15d) = 72 2Solve simultaneously: (c) a = 3: 15d = 6  3 = 3a=3 d = 0.2(11 marks) 10. (a)d2 y dx2= 3x2 + 22M1 A1(2)(b)Since x is always positive,d2 y dx 2 2 for all x.B1(1)(c)y=x4 + x2  7x + (k) 4k = 10[k not required here]M1 A2 (1, 0) M1 A1 M1 A1 M1 (5)24 4= + 22  14 + k 4(d) x = 2:dy =8+47=5 dx 1 5x4 y= + x2  7x + 10 4Gradient of normal = 1 y  4 =  (x  2) 5x + 5y  22 = 0M1 A1(5)(13 marks)© Science Exam Papers3EDEXCEL CORE MATHEMATICS C1 (6663) Specification/Assessment Objective grid C1 Mock Paper Qn 1 2 3 4 5 6 7 8 9 10 Spec Ref 1.7 1.1, 5.1, 5.2 1.1 3.1 1.6, 1.2, 1.5 1.1, 1.8, 4.1, 4.2, 4.3 1.8, 1.9, 1.10 2.1, 2.2 3.2 5.1, 5.2, 4.1, 4.2, 4.3 AO1 2 3 3 3 4 4 3 3 3 5 33 2 1 3 2 5 4 7 26 8 2 4 2 AO2 1 1MOCK PAPER MARK SCHEMEAO3AO4AO5124 1 5 3© Science Exam Papers4`

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