1. (a) B2 for (B1 for 5.29 seen) (b) (i) 2 ( ) = B1 for ( )

Transcription

1 1. (a) B2 for (B1 for 5.29 seen) (b) (i) 2 ( ) = B1 for ( ) (ii) ( ) ( ) = B1 for ( ) ( ) B2 for (B1 for either 7.75 or or ) 3. (a) 7 accept (b) (c) in oe M1 for sight of 20 in or (a) = M1 for (4.1) followed by squaring, or sight of SC: B1 for 18 or better with no working (b) ( ) Allow additional brackets if they give an expression with value

2 = = = = M1 for (= 230) oe M1 for (= 375) oe with 625 from subtraction = M1 for (implied by 2.99) 7. (a) (i) (ii) 6.3 (b) = = = B3 for or B1 for 3.58(325) ( 4.32) or 15.5 B1 for seen [5] 8. (a) = or = M1 for 420 o.e. or or Or for part working: 42, 21, 10.5

3 (b) 62.5% M1 for oe (a) Negative or as urban goes up, farming goes down 1 oe (b) Line within tolerance. 1 B1 for line within overlay lines, at least 10cm in length (c) 35 farming 1 B1 ft ±½ dep on single straight line with negative gradient or M1 for or or 4725 seen. 11. (a) = = 7 M (or sight of ) M1 (dep) SC: M2 for 7 days (b) or 64 or seen M oe or or 75.2 seen OR 6.40, 3.20, and 1.60 seen (c) = M [7] 12. (a) ,,,, B2 for all correct 2

4 (B1 for 1 error or all correct but wrong order, or use of a common denominator decimals). (b) 3/5, 65%, 2/3, 0.72, 3/4 2 B2 for all correct (B1 for 1 error or all correct but wrong order or conversions to decimals oe) 13. (a) M1 for (b) M1 for p 3 1kg of apples is = 0.84 Cost of 2.5kg of pears is = 1.60 Cost of 1 kg of pears = M1 for or any of 0.84, 84, 2.52, 252 seen M1 for or 1.6(0), 160 seen SC M2 A0 for = 160 tiles = M1 for or or 8 5 or or oe or oe M1 (indep) for 4.19; can be implied A1 for or 670.4

5 16. (a) 45% M1 for 240 SC: B1 for 55% if M0 (b) 53.6% = M1 for either or or 96 or 140 seen A1 (dep) for , ( ) or 236 seen A % [5] B seen B1 one correct trail between 5.1 and 5.4 inclusive B1 different trial between 5.2 and 5.3 inclusive (dependent on B2 above) B n

6 20. (a) M1 for A1 for (b) 44 2 Extra miles = ( ) 1.52 (= 43) total number of miles is M1 for either ( ) 1.52 or 43 seen A1 for (a) M1 for 180 A1 for 65 (b) or 15 M1 for or 15 A1 for (a) (b) 35%, 0.4,, B2 for all correct positions (B1 for one incorrectly placed) [SC: B1 for correct reverse order]

7 not justified not justified = 18.75% OR p M1 for OR M1 for not justified A1 for OR A1 for 6.08 B1 (dep on M1) for comparison with 19% OR B1 (dep on M1) for comparison with 6% M1 for M1 for 12 4 OR 12 3 OR (a) (b) 53 and 59 2 B2 cao (B1 for 53 or 59) ( 1 for each extra answer) SI = M1 for 530 M1 for (dependent on an attempt to find 4.5% of 530)

8 27. (i) M1 for sight of or 6.25 A1 (ii) 0.5 B1 ft [ gets B0] or 2757p p or M1 for [= 2143.(28)] M1 (dep) for 2143.(28) or (units must be consistent) A1 for or 2757p (5 + 3) M1 for 126 (5 + 3) 30. (a) = M1 for ( 4.1 ) followed by squaring, or sight of SC: B1 for 18 or better with no working (b) ( ) Allow additional brackets if they give an expression with value

9 M (or 140) 4 M1 (dep) A1 [SC: B2 for 3920 only] = = M1 for 3 factors of each numbers (not inc. 1), condone one error [or M1 for either 36 = or 54 = ] : 4 or 6 : 8 1 B1 [1] B2 for [B1 for seen or 114]

10 , B2 for trial strictly between 2 and 3 evaluated (B1 for trial at 2 or 3 evaluated) B1 for different trial between 2.8 and 2.9 evaluated (dep on at least one previous B1) and 66 % B2 for and 66 (B1 for 1 correct) ( 1 for each additional selection up to a max of 2) M1 for 94 ( alone scores M1 A0) B1 for 1.25 oe [1] = M1 for or 51 seen

11 m M1 for A1 for a number rounding to 40.7 B1 (indep) for m / / / /3 B2 for a trial strictly between 4 and 5 (B1 for a trial at 4 or 5) B1 for a different trial strictly between 4.6 and 4.7 (all trials to be evaluated correct to 1 dp) B1 for 4.7 (dep on at least B1 awarded) (= 7.36) Alternative M1 for oe A1 for 7.36 B1 ft for the correct answer to (dep on M1 scored) 80 M2 for [SC: B2 for 44.16] 43. (a) 3 : : (40 12) = 12 : 28 B1 for 12 : 28 (accept 28 : 12) B1 ft for correct simplification of a ratio of 12 : n (or n:12 where n 40) (b) 2 2 (40 12)/2 12 M1 for 28 /2 (or sight of 14 linked to 28) A1 ft

12 to M1 for 4 2 A1 for 50.2 to or better 2 126/ M1 for correct order of operation A1 for 1.87 or better (sc B1 for 67.3 or better seen) = M1 for (4 ) oe or 960 seen M1 (dep) for [Alt M2 for ] [SC B2 for 23040] (375) 2 B2 for Accept with/without any additional digits (B1 for or 6.4 or 6.8 or better or digits 6834 seen)