2018 O Level Math 4048 Paper 2 SUGGESTED MS

General Certificate of Education Ordinary Level 2018 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 1 1 (ai) 2 5 tv B1 o.e. (aii) 4( 3) 5(3 2 ) ( 3)(3 2 ) yy yy + − − +− M1 Join fraction 4 12 15 10 (3 2 )( 3) 14 3 (3 2 )( 3) yy yy y yy + − += −+ −= −+ A1 (b) (4 3)(4 3) (4 3)( 3) xx xx +− +− M2 M1 for each factorisation s.o.i. 43 3 x x −= − A1 (c) 2 20 (2 5)( 1) 2 5 2 5 20 xx x x x = + + + + + = M1 Expand 22 7 15 0 (2 3)( 5) 0 xx xx + − = − + = M1 3 2x= or 5x=− A1 o.e. [9]

General Certificate of Education Ordinary Level 2018 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 2 2 (a) Difference 12($3900) $44000 $2800= − = M1 s.o.i. Percentage increase $2800 4 100% 6 % 6.36%$44000 11=  = = A1 Accept 3 s.f. (b) Interest earned 6 2.35$6500 1 $6500100 = + −  M2 M1 for C.I. M1 for difference $972.0615149 $972.06== (2 d.p.) A1 (ci) 1£1 $1 £ £0.50761421321.9$1.97 7=  = = The cost per night for both hotels are the same in their own respective currencies. Since there is lesser pounds than euros per Singapore dollar, the hotel in London costs more per night than the hotel in Paris. B1 Show clear working with explanation (cii) Total cost for London hotel £145 3 £435== Total cost for Paris hotel €145 4 €580== M1 Total cost for any hotel s.o.i. In Singapore Dollars: Total for London £435 1.97 $856.95== Total for Paris €580 29000$ $878.7878...0.66 33= == M1 Conversion to SGD for any hotel s.o.i. Total to be paid with fee 29000101.8% $856.95 $ 33 =+  M1 101.8% o.e. $1766.981161 $1767== (nearest dollar) A1 [10]

General Certificate of Education Ordinary Level 2018 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 3 3 (a) 490 280 210 350 210 210 = P B1 c.a.o. (b) 0.75 1.50 2.25  = N B1 o.e. (c) 1260 1050 = T B2 B1 for each correct element (d) The total costs of selling Apple and Cherry pies from all small, medium and large sizes are $ 1260 and $1050 respectively. B1 Must state sizes and type of pie (e) Number of pies sold: Small 700= , Medium 408= , Large 348= M1 Number of pies Sales from pies sold: Small $735= , Medium $856.80= , Large $1096.20= M1 Total sales Profit $2688 ($1260 $1050)= − + M1 FT from (c) $378= A1 [9]

General Certificate of Education Ordinary Level 2018 Mathematics 4048/02 Syllabus 4048 Paper 2 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 4 4 (ai) 65n+ B2 B1 per term