Mark Scheme (Results) June International GCSE Mathematics (4MB0) Paper 02

Transcription

1 Mark Scheme (Results) June 0 International GCSE Mathematics (4MB0) Paper 0

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3 4MB0 Summer 0 - Paper Question number Scheme Marks. (a) 500/65 4 hrs (b) ( )/( ) 667 km/h. (a) factor of x Attempt to factorise x 5x + 6 or orig. cubic x(x - )(x - ) (b) attempt to factorise x + x - 4 into two linear terms One pair of factors cancelled ft dep 4 xx ( ) ( x + 4) OR x x x International GCSE Mathematics (4MB0) Paper 0 Summer 0

4 number Scheme Marks. Note: First three marks for angles, final mark for reasoning Method : (using angle at centre) AOC(reflex) = 6 ( at a point) or ADC = 6 ( at centre) B ABC = 8 ( at centre/opp angles cyclic quad) Bft BCO = 6 ( between // lines) Bft at least two valid reasons consistent with their B 4 Method : (using isosceles triangles) CAO (or ACO or BAC ) = 8 ABO (or BOC ) = 56 BCO = 6 at least two valid reasons consistent with their (isosceles triangle, alt angles between // lines...) 4. height of cone = (9-5 ) = 6 cm B B ft B ft B 4 4 volume =."6".5 π + 5 π either volume correctly stated and with values substituted nd volume correctly stated with values substituted and added Conclusion dep 5 5 International GCSE Mathematics (4MB0) Paper 0 Summer 0

5 number Scheme Marks 5. (a) 5-7, 8, (b) 7 - c s(8), 9 SC: 7 (x + y) (c) y = 5 - c s(a) c s(b) (o.e.) y = 6, x = 6. (a) trapezium B, ft, B(-ee) 7 (b) trapezium C B(-ee) ft (c) trapezium D A rotation of 90 anticlockwise about any point Correctly placed trapezium (cao) (d) reflection, y = -x, 8 7. (a) (i) ( x + ) 9 or ( + 5)( ) x x x x (ii) yx ( + ) = OR x+ = / y x x OR x 4 (b) x + = x + 4x 5 x + x - 8 (= 0) attempt to factorise their trinomial quadratic OR correct substitution into a correctly quoted formula -7, 4, 5 9 International GCSE Mathematics (4MB0) Paper 0 Summer 0

6 Scheme number 8. Accept fractional or percentage equivalents throughout. Marks (a) 0.5 (o.e.) B (b) for each correct pair Bft,B,B (c) (i) 0.75 x 0.8, 0.6 (/5) (ii) 0.5 x x (or better) (/40) (d) any probability ( 0.85 ) 0.6 / (or better) (8/), ft 5 International GCSE Mathematics (4MB0) Paper 0 Summer 0

7 number 9. (a) (i) Scheme a (ii) b - a B, B Marks (b) a + (" - ") b a, b + a (o.e.), (c) a + b+ (" a - b "), b - a (o.e.) 6, (d) λ( " b + a") Bft (e) " a"+ μ( " b - a") 6 Correct expression (unsimplified) (f) Attempt at equating either coefficients of a or coefficients of b. One correct equation: μ = λ or λ = μ 6 μ = /, λ = /, 4 International GCSE Mathematics (4MB0) Paper 0 Summer 0

8 Scheme number 0. (a) x or 4xy, (S =) x + 4xy B, B Marks (b) 50 x y = 4x (o.e.) B (c) 50 x 4x. x + conclusion B (d) one term correctly differentiated 5 x 5 x c's = 0 dep.89 (e).4, 4 (f) graph penalties (-) straight line segments each point missed (± ½ small square) each missed segment each point not plotted each point incorrectly plotted (± ½ small square) tramlines very poor curve i.e. line too thick B, B B 4 (g) line drawn or two points marked on their graph consistent with the line drawn.8 or.9,.8 SC: No indication on the graph of any line or points identified but both points correct then,, A0 ft, ft 6 International GCSE Mathematics (4MB0) Paper 0 Summer 0

9 Scheme number. (a) (AC = ) x 54 x 5 x cos 00 Marks (o.e.) 69. m dep (b) Use of sine rule with correct values substituted Sin CAB = 5 sin00 "69." dep 9.8 /9.9 (c) DB/54 = sin ( 9.8 ) 6.8 m/6.9 m ft (d) AD/54 = cos ( 9.8 ) 46.9 m (awrt) Seeing 6.8 / ((.4 ) + (.4 ) ) 6./6. m (e) h/ ( 6. ) = tan 40.9 m (Accept or.0 m) B ft B ft ft 6 6 International GCSE Mathematics (4MB0) Paper 0 Summer 0

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