2020 O Level Math 4048 Paper 2 SUGGESTED MS

General Certificate of Education Ordinary Level 2020 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 1 1 (a) 2 1 5 4 23 6 3 10 8 xx xx +− +  − M1 Remove fraction 14 7 1 2 x x   A1 o.e. (b) 6 3 16 (1) 9 2 11 (2) (1) 2 :12 6 32 (3) (2) 3: 27 6 33 (4) xy xy xy xy − = −−− + = −−−  − = −−−  + = −−− (3) (4) 39 65x + = M1 Elimination or substitution s.o.i. 5 3x= A1 o.e. 2y=− A1 (c) 2 5(3 2 ) (3 2 ) xx x −− − M1 Join fraction 2 2 15 10 (3 2 ) 11 15 (3 2 ) xx x x x −+= − −= − A1 (d) 1 9 3 1527 a b   M1 Resolve negative index or M0 5 3 3b a= A1 or B1 for ‘3’ or B1 for 5 3 b a (e) ( ) 244 4( 2)( 2) (3 5)( 2) (3 5)( 2) x xx x x x x − +−=− + − + M2 M1 for each factorisation 4( 2) 35 x x −= − A1 o.e. [12]

General Certificate of Education Ordinary Level 2020 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 2 2 (a) 7 girls B1 (b) 30 26 24  = F B1 (c) 996 1316 = M B2 B1 for each correct element (d) The t otal fees collected by the holiday club for one morning is $996 and one afternoon is $1316. B1 (e) $11560 B1 (f) Number of children in P 1.5 (10 14) 36=  + = Number of children in Q 1.5 (12 16) 42=  + = Number of children in R 0.75 (16 20) 27=  + = M1 Total fees in Week 2 5 (36 $30 42 $26 27 $24) $14100=   +  +  = M1 Percentage change 14100 11560 100% 21.97231834%11560 −=  = 22.0% increase A1 o.e. [9]

General Certificate of Education Ordinary Level 2020 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 3 3 (a) 5.9 B1 (b) Refer to graph on page 4 Plotting of any 6 correct points P1 Plotting of all 9 points correctly P1 Smooth curve passing through all plotted points C1 (c) 0.7 or 4.3x= B2 Accept ±0.1 (di) Plotting of any 3 relevant points P1 Line drawn passing through plotted points L1 (dii) 0.9 or 5.1x= B2 Accept ±0.1 (diii) 63 2 9 2 3xx x  + − = − M1 Substitution seen o.e. 22 2 2 6 18 27 2 3 4 24 18 0 2 12 9 0 x x x x xx xx + − = − − + = − + = 12A=− A1 9B= A1 [13]

General Certificate of Education Ordinary Level 2020 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 4 3 2 3yx=− 629yx x= + −

General Certificate of Education Ordinary Level 2020 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGEST