2016 O Level Math 4048 Paper 1 SUGGESTED MS

General Certificate of Education Ordinary Level 2016 Mathematics 4048/01 Syllabus 4048 Paper 1 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 1 1 (a) 62x− B1 (b) 6 (1 3 )xy + B1 [2] 2 4 16 12 3 4 ( 4 ) 3 ( 4 ) ax ay by bx a x y b x y − + − = − − − M1 Grouping or M0 (4 3 )( 4 )a b x y= − − A1 or B1 per bracket [2] 3 (a) B1 (b) B1 [2] 4 ( ) 22 22 (5 1) (5 1) 25 10 1 25 10 1 nn n n n n + − − = + + − − + M1 Either expansion correct s.o.i. 2225 10 1 25 10 1 20 n n n n n = + + − + − = A1 Since 20 is a factor of the expression, it is a multiple of 20 for all positive integers n. AG Must conclude [2]  A B  A B

General Certificate of Education Ordinary Level 2016 Mathematics 4048/01 Syllabus 4048 Paper 1 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 2 5 Perimeter 22= cm Length + Breadth 11= cm (May be implied through guess and check, or other methods e.g. prime factorisation) M1 Find possible combinations of Lenth + Breadth s.o.i. 6 cm A1 [2] 6 1 (18.7)(12.8)sin 58.62 1465sin 2992 ABC ABC = = M1 Use of area of triangle s.o.i. 29.31685932 or 150.6831407 29.3 or 150.7 (1 d.p.) ABC =   =   A1 [2] 7 3 1 30 2 h = M1 Form equation 3311 30 23.81101578 23.8 (3 s.f.)30 2 2 h h=  =  = = A1 [2] 8 The widths of the flames are inconsistent / not constant. B1 Feature This may lead a reader to think that the gas bill in 2015 is twice the gas bill in 2012. B1 Comparison made [2] 9 2 2 31 ( 4) ( 4) 34 ( 4) xx x x +−− +−= − M1 Join fraction 2 1 ( 4) x x −= − A1 [2]

General Certificate of Education Ordinary Level 2016 Mathematics 4048/01 Syllabus 4048 Paper 1 SUGGESTED Solutions & Marking Scheme Mark Allocation Prepared by: Jordan Tew (@math_stuff_here) 3 10 (a) 3 or (175 2 )2 x x − B1 o.e. (b) If angle ADC 3 2 x= , 3 2 5 1802 x x+ + = If angle ADC (175 2 )x= −  , 3 2(175 2 )xx=− M1 Form equation with either angle 7 1752 50 x x = = 3 350 4 7 350 50 xx x x =− = = A1 [3] 11 (a) 229 ( 4) (4)x+ − − M1 Complete the square s.o.i. 27 ( 4)x=− + − A1 c.a.o. (b) (4, 7)− B1 FT from (a) [3] 12 In the US: Cost of diesel per litre 4.48 896 3.785 757== US Dollars M1 Cost per litre s.o.i. Cost of diesel per litre in SGD 896 1.242 1.47005582757=  = Singapore Dollars M1 Hawaii A1 M0A0 [3] 13 (a) 2520 m B1 (b) Let the heights of the planes be 1h and 2h . 1221 21 25120 120 hh − − − = M1 Difference s.o.i. 21 21 25120 120 3000 hh hh −=  − = A1 [3]

General Certificate of Education Ordinary Level 2016 Mathematics 4048/01 Syllab