Mathematics HL - Nov 2000 - P1 \$

# Mathematics HL - Nov 2000 - P1 \$ - INTERNATIONAL...

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MARKSCHEME November 2000 MATHEMATICS Higher Level Paper 1 12 pages N00/510/H(1)M INTERNATIONAL BACCALAUREATE BACCALAUR&AT INTERNATIONAL BACHILLERATO INTERNACIONAL

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1. k k −+ = 43 21 0 (M1) () kk + = 41 6 0 (M1) 2 32 0 = −− = 0 (A1) (C3 ) == or [3 marks] 2. (M1) : fgx x !" 3 1 + (M1)(A1) (C3) 11 3 :( 1 ) fg x x [3 marks] 3. fx 2 ln xx = (M1)(M1) 2 1 2l n xxx x  =+   (A1) (C3) n :2 l n + " [3 marks] 4. (a) Required percentage (A1) (C1) = 25% (b) Required percentage (A1) (C1) = 75% (c) Mean height of the male students is cm cm (A1) (C1) 172 1 ± [3 marks] 5. when , i.e. (A1) 2 sin( ) 0 = 2 0( , ) xk k π∈ Z ) =+π The required area (M1) 2 0 )d x π = (G1) (C3) 1 = OR Area 2 0 x π = (M1) 2 0 1 cos( ) 2 x π  =−  1 (1 1 ) 2 − − (A1) (C3) 1 = [3 marks] & 6 & N00/510/H(1)M
6. Method 1: (Venn diagram) (M1) (M1) PP P () ( ) ( ) AB A B ∩= 03 06 .. ( ) P B P( ) . B = 05 Therefore, (A1) (C3) P( ) . ∪= 08 Method 2: ) =− () ( ) AA B 0.3 . A 03 (A1) A = 06 . since are independent ) = ()() , 0.3 .( ) P B (A1) B = . ) =+− PPP () () ( ) ABA B 06 05 03 ... (A1) (C3) = . [3 marks] 7. Arithmetic progression: 85, 78, 71, . .. 1 85, 7 ud == (M1) 1 (1 ) 8 57 )9 27 n uu n d n n =+− = − −= − Thus, provided . 0

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## This note was uploaded on 05/06/2010 for the course MATH 1102 taught by Professor Chang during the Spring '10 term at Savannah State.

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Mathematics HL - Nov 2000 - P1 \$ - INTERNATIONAL...

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