2019 O Level Math 4048 Paper 2 SUGGESTED MS

General Certificate of Education Ordinary Level 2019 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 1 1 (a) 3 2 2 3 p r B1 (bi) 10a=− B1 (bii) 5 3 4 3 5 4 a ab b c b ab a c − = + + = − M1 Rearrange terms (3 ) 5 4 54 3 b a a c acb a + = − −= + A1 (ci) 22 77 922x   − − +       M1 Complete the square correctly 2 2 7 13 24 13 7 42 x x = − − =− + − + A1 In required form, accept in decimal form or mixed number o.e. (cii) 7 13,24  − B1 o.e. (d) 1 6( 3) 2( 3)( 1) xx xx − + − =−− M1 Join fraction ( ) 21 6 18 2 3 3x x x x x− + − = − − + M1 Expand 2 2 2 8 6 7 19 2 15 25 0 (2 5)( 5) 0 x x x xx xx − + = − − + = − − = M1 Factorise o.e. 5 or 52xx== A1 Both values o.e. [11]

General Certificate of Education Ordinary Level 2019 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 2 2 (a) Using cosine rule, 226.4 8.3 2(6.4)(8.3)cos 27CX = + −  M2 Deduct M1 for any wrong substitution 3.897366658 cm 3.90 cm (3 s.f.)== A1 (b) Using sine rule, sin sin112 6.4 7.5 XAB = M1 1 6.4sin112sin 7.5 52.29750374 52.3 (1 d.p.) XAB − =  = =  A1 (c) Angle ABC 180 112 52.29750374 27 42.70249626= − − + =  M1 Area of triangle ABC 1 (7.5)(8.3)sin 42.702496262= M1 2221.10871629 cm 21.1 cm (3 s.f.)== A1 [8]

General Certificate of Education Ordinary Level 2019 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 3 3 (a) Price of phone in UK 389$ $670.68965520.58== M1 Difference $670.6896552 $620=− $50.6896552 $50.69 (2 d.p.)== A1 (b) Price before sale 100 $78594= M1 $835.106383 $835 (nearest dollar)== A1 (ci) 59.2 10 B1 (cii) Percentage increase 76 6 1.20 10 7.85 10 100%7.85 10  − =  M1 52.86624204% 52.9% (3 s.f.)== A1 (ciii) Mean SMS per person per day in 2015 10 6 1.14 10 3655.54 10 =  M2 M1 for per person M1 for per day 5.637703378 5.64 (3 s.f.)== A1 [10]

General Certificate of Education Ordinary Level 2019 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 4 4 (a) 19 5p=− B1 o.e. (b) Refer to graph on page 5 Plotting of any 6 correct points P1 Plotting of all 9 points correctly P1 Smooth curve passing through all points C1 (c) 3.75x B1 Accept ±0.1 (di) Refer to graph on page 5 Plotting of any 3 relevant points within 44 x−   P1 Straight line passing through all