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SKEMA PEMARKAHAN PEPERIKSAAN PERCUBAAN SPM 20 MATHEMATICS PAPER 449/ SULIT Question Answer Question Answer A 2 A 3 B 4 D 5 C 6 D 7 A 8 D 9 A 0 B C 2 B 3 D 4 B 5 D 6 B 7 B 8 C 9 D 20 D 2 C 22 D 23 B 24 B 25 C 26 C 27 A 28 A 29 C 30 B 3 D 32 D 33 C 34 A 35 C 36 D 37 C 38 A 39 B 40 A

SKEMA PEMARKAHAN PEPERIKSAAN PERCUBAAN SPM 20 MATHEMATICS 449/2 SECTION A [52 MARKS] Question Mark Scheme Sub Mark Total Mark y x = -3 y 4 x 4 3 4 0 4 x Dotted line x + y = 4 drawn Line x + y = 4 must touch the point ( 3, 7) Region shaded correctly Note : Accept multiple hatching 2 2 2 m m 6 0 2m 3 m 2 0 3 m = 2 3 m = 2 Note: Do not accept any other method. 4

3 6p 2q = 8 or 2p 4q = 6 or equivalent 5p = 0 or 0 q 0 or equivalent 3 OR p = 3 + q 3 or p = 8 + 2q or q = 3p 9 or q = p - 4 2 ( ) 5p = 0 or 0 q = 0 3 or equivalent ( ) OR 2 2 p 6 3 2 q 8 () p 2 2 6 3 q 2 2 8 2( 2) ( ) 3 () p = 2 q = 3 Note : If p 2 award mark q - 3 4 Identify PRQ or QRP 4 2 tan PRQ = or equivalent 5 5 (a) (i) 67.38 or 67.4 or 67 23 False / Palsu 3 (ii) True / Benar (b) If n > 7, then n > 2 Jika n > 7, maka n > 2 Note: Do not accept than (spelling) (c) False / Palsu PQRS is a square PQRS ialah segi empat sama 5 2

6 (a) (b) 7 5 ( 3) = 2 4 = ( 4) + c ( seen m = ) 2 2 c = 2 y = x 2 2 (c) x 2 = 0 2 x-intercept = 4 6 7 (a) d = 5 e = 4 (b) 2 3 x y x 4 = y 9 = (2)( 4) (3)( ) 4 3 2 9 x = 7 y = 3 Note : 7 award mark 3 6 8. 22 7 7 5 7 22 7 7 6 3 7 22 22 7 7 5 7 7 6 7 3 7 2002 4 3

9(a) { (4,5), (4,6)} 2 or 24 2 ( b) {(S,4), (5,P) (5,Q) (5,R) (T,4) (6,P) (6,Q) (6,R) (U,4) (V,4)} 2 0 (a) 0 5 or 24 2 Note: If all sample space listed, accept the direct answer. 30 22 60 22 2 4 or 2 2 360 7 360 7 5 2 + 7 3 60 22 30 22 2 2 +7 + 2 4 + 4 360 7 360 7 or 7.33 (b) 60 22 5 22 2 2 or 4 4 360 7 360 7 60 22 5 22 2 2 4 4 360 7 360 7 205 3 or 205.3 or 205.33 6 (a) 4 (b) 30 5 0 2 or 5 30 2 0 5 or 7.5 2 (c) 4 (30 + 5) 2 or (25 + 5) ( x 6) or ( 4 5) 2 2 3 4 (30 + 5) 2 + (4 5) + (25 + 5) ( x 6) = 45 2 2 3 x = 6 6 52

Section B Question Mark Scheme Marks 2 (a) x.5 3 y 6 8 (b) Axes drawn in the correct directions with uniform scales. All 7 points and *2 points correctly plotted or curve passes through all the points. (7 or 8 points correctly plotted award mark). 2 smooth and continuous curve without any straight line passes through all 9 correct points using the given scales. 2 2 (c) (i) ii) (d) 8.4 y 8.8.9 x 2. Identify equation of y 5 2x Straight line y 5 2x correctly drawn 2.25 x 2.65 2 5

Question Scheme of marks Marks 3(a) (i) (ii) (b) (i) (a) (4, ) Note: Point (, 4) award mark (, 6) Note: Point (, 3) award mark V = Rotation, 90 o anti clockwise, about centre (3, 5). 2 2 3 (b) U = Enlargement, scale factor 3, at centre Q(5, 4) Note: Do not accept wrong spellings for rotation and enlargement. (b) (ii) 3 2 24 24 3 92 2 6

Question Scheme of marks Marks 4 (a) Mass (kg) Jisim (kg) (b) (i) (ii) Frequency Kekerapan 30-34 32 35 39 2 37 40 44 5 42 45 49 6 47 50 54 8 52 55 59 5 57 60-64 3 62 Midpoint Titik tengah 50 54 (32) 2(37) 5(42) 6(47) 8(52) 5(57) 3(62) Mean = 2 5 6 8 5 3 = 49.5 2 (c) Axes drawn in the correct directions with uniform scales. All 7 points correctly plotted Point (27, 0) and (67, 0) correctly plotted All the 7 points starting from (27, 0) until (67, 0) are connected correctly with straight line 2 2

Question Scheme of marks marks 5 (a) Plan: The shape must be right with the rectangles. All lines must be fully drawn. 2 cm 3 3 cm 6 cm Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90 o Note: The shape is correctly drawn award mark b (i) Elevation X: The shape must be right. All lines must be fully drawn. cm 4 cm 3 cm 2 cm 4 cm 2 cm cm 5 cm Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90 o Note: The shape is correctly drawn award mark b (ii) Elevation Y: The shape must be right with the rectangles. All lines included the dotted lines must be shown completely. cm cm 5 cm 2 cm 6 cm Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90 o Note: The shape is correctly drawn award mark 2 8

Question Scheme of marks Marks 6. (a) 45 o W or 45 o B Note : 45 o or o W or o B award mark 2 (b) (i) (c) (i) (ii) 70 o 70 0 60 4 200 5220 60 5220 55 60 32 o S Using cos 55 80 60 cos 55 80 60 cos55 5220 650 7.56 o 2 9