Mark Schemes for May 2004 examination session

Transcription

1 Edexcel International London Examinations IGCSE IGCSE Mathematics (00) Mark Schemes for May 00 examination session Paper 3H (Higher Tier) 1

2 1 69 or M for or M1 dep on 1 st M Accept 70. Condone , a 6t B1 cao b x 3x + 5x 15 for terms ignoring signs or 3 terms with correct signs c x + x 15 5( p 3q) 1 B1 d n( n + ) 1 B1 3 a π for 69. or better ( ) b Splits shape appropriately eg triangle & rectangles, rectangle & trapezium M1 eg or 1 + M1 for area of at least one rectangle 1 3 or 6 M1 for area of triangle or trapezium cao ai 1 ( ) M1 0. oe ii M1 0.6 oe b cao

3 5 a prime factors & 5 seen or 5 b for or for lists of multiples with at least 3 correct in each list 600 cao 6 a (5, 3) B B1 for each coordinate b 8 = 6 & 5 1 = B1 6 + or or 5 for squaring & adding Either 6 or must 6 + or 5 (7.110 ) M1 (dep on 1st M1) for square be correct for root award of M marks 7.1 for 7.1 or better 7 i 1, 3 3 B1 Condone repetition ii 1,, 3,, 5 B1 Condone repetition iii is a member of oe B1 8 i 3x > 6 M1 SC if M0, award B1 for x > ii line to right of B1 ft from (i) line must either have arrow or reach indicated open circle at B1 ft from (i) 3

4 9 a or or cao b M1 finds products f x consistently within intervals (inc end points) and sums them or or1665 M1 use of midpoints " 1665" M1 (dep on 1st M1) for division by Accept 11 if seen 150 c 3, 8, 108, 16, 1 B1 cao 1, 150 d Points B1 + ½ square ft from sensible table Curve B1 or line segments (dep on 5 pts correct or ft correctly or 5 ordinates from (c) plotted correctly and consistently within intervals but not above end points) e cf of 75 (or 75½ ) used ~ 9 ft from sensible graph 10 π 1 or M1 M1 (dep) SC B for 3 π or 9.7 seen + 6 or +1 B1 (indep) 1. for 1. or better (1.7 )

5 11 a B1 cao b n.5 10 for integer n > 0 for n = 9 09 SC B1 for.5 1 a y = 3x 15 3 M y = x M1 " 3x 15" for 3 " 3x 15" ft from b Eqn (A) 3 or Eqn(B) M1 for clear attempt at first step in correct eg or Eqn(A) 5 or Eqn(B) 3 process to eliminate either or y Eqn (A) 3 + Eqn(B) M1 Completes correct process to eliminate eg or Eqn(A) 5 - Eqn(B) 3 either x or y (Condone one error) eg x = 3 cao for non-eliminated one 1 (3, 1 ) cao 13 a 3t + 8t 5 B (B1 for terms correct) b 6t + 8 for 6t + 8 or d(a)/dt if at least B1 scored 0 ft 1 ai bar correct 3 B1 8 + ½ sq ii 130, 10 B B1 cao for each value b Σ f = 80, 3 80 = ft from 80 ie Σf 5

6 15 a cao b = cao 16 ( x + 5)( x ) 3 M1 ( x + )( x ) M1 x + 5 cao x + 17 ai R = k M1 ii r R R = 3.6 r r B B1 for graph with negative gradient (increasing or constant) even if it touches of crosses one or both axes eg R O r b 0. 1 B1 ft from k 6

7 18 a =. BE 3 M1 Accept AE CE = BE ED M1.. cao b M at least 3 sf 108 for 108 or better ( ) 19 ai 5 B1 cao ii 0 B1 cao b 1 eg or attempt to make x the subject of y = x 1 x + 1 oe ci 3 B1 x 1 ii 1 B1 7

8 0 RST = B1 opposite angles of a cyclic quadrilateral B1 or exterior angle = opposite interior angle Accept cyclic quadrilateral SRT = 8 B1 angle between chord & tangent = angle in alternate segment B1 Accept alternate segment or chord & tangent 8 B1 or RST = B1 opposite angles of a cyclic quadrilateral B1 or exterior angle = opposite interior angle Accept cyclic quadrilateral PTR = 108 B1 angle between chord & tangent = angle B1 in alternate segment 8 B1 or UTR = 7 5 B angle between chord & tangent = angle B1 in alternate segment 8 B B1 for 7 Accept alternate segment or chord & tangent Accept alternate segment or chord & tangent 8