M1 for either 2 or 3 A1 for 7.20 and (need both) (b) 28 1 B1 for 28

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Justin McKenzie
5 years ago
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1 Jack: 2 ; Jill: M1 for either 2 or A1 for 7.20 and (need both) [2] 2. (a) (i) = = M1 for systematic method A1 for (ii) = = M1 for systematic method A1 for (b) 28 1 B1 for 28 [5] = Normal price = 82 B1 for sight of 82 oe M1 for 82 A1 for (a) B2 for (B1 for either 7.75 or or )

2 (b) p xp 1 xpq = p q xpq + q = p q(xp + 1) = p M1 for correct elimination of fractions M1 for a correct isolation M1 for q(xp + 1) = p p A1 for xp 1 [6] 5. (a) (i) M1 for systematic method, eg division, factor trees (at least one prime) (ii) M1 for systematic method, eg division, factor trees (at least one prime) (b) 12 1 B1 cao (c) B2 cao B1 for or any correct common multiple [7] 6. (a) 150 C M1 use of cum freq to find the cost of the 20 th or 20.5 th car OR 2 1 or 2 1 ( f + 1) th car A1 eg 150 to 200, (b) No, because the 21 st value is in the same interval 1 B th or 21 st vakue in same internal consistent with a OR Refers to the median value being low in the interval (statement to be mathematically correct)

3 (c) % = M1 for ( 20) % = M1 for "80" [6] 7. (a) AG 2 x 2 (x + 1) = 230 M1 for x x (x +1) or x x x 1oe, x 2 (x + 1), x 2 x + 1 from x x (x +1), no need to see 230 (b) B 2 for trial between 5.8 and 5.9 inclusive evaluated (B1 for different trial between 5 and 6 inclusive evaluated) B1 for different trial between 5.8 and 5.85 (not including 5.8) B1 (dep on at least one previous B1) cao for 5.8, 5.81, [6] B3 for.3 10 to (B2 for oe or 300 to 30 or final answer of ) 15 8 (B1 for sight of 6 10 oe or oe)

4 9. (a) B1 cao (b) ( ) ( ) M1 for oe A1 for 1666 or or A1 (dep) for 1667 cao [] 10. (i) (ii).8 B1 for sight of 5 or 5 or 2 or 2 1 oe M1 for oe 6 5 M1 for oe [5] 11. (a) 182, 178, 180, 18 2 M1 mean of any three consecutive months, eg ( ) 3 oe (b) Sale price = 80% Fun Friday price = 70% of 80% = 56% (oe) 2 B1 B1 for a fully correct explanation involving a worked example (oe) B1 a partially complete explanation []

5 12..2 x x³ 2x (21) (88) (07) (11) (269) (5) (656) B2 for trial.1 x.3 evaluated (B1 for trial < x < 5 evaluated) B1 for different trial.225 x.25 evaluated B1 (dep on at least one previous B1) for.2 cao [] 13. (a) B1 accept or just 10 9 (b) ( ) M1 for 1 ( ) or digit 2 with zeros only seen Condone omission of bracket for M1. 1. (a) = B2 for (B1 for 28.3 or 1.) (b) B1 ft from (a) as rounded to 1dp or 2dp. Do not accept 2, 2.00, but accept 2.0

6 15. (a) = 3000; = = 2250; = = ; = M1 for (= 9000) oe or 3000 or seen M1 (dep) for at least two further depreciation calculations (complete steps) OR M2 for (0.75) 3 or seen (M1 for (0.75) n, n = 2 or ) (b) (oe) M1 0.8 (oe) [5] (2) 90.8(9) 96.7(1) 102.7(8) 109.1(3) 115.7() 122.6(2) 129 7(9) 137.2(5) (1) B2 for trial strictly between and 5 evaluated (B1 for trial at either end) B1 for different trial between.3 and. exclusive B1 cao (dep) on at least one previous B1 NB need to see trials evaluated to at least 1dp (truncated or rounded) []

7 17. (a) , 800, 8820, 9261, (972.05) M1 for 8000 or 8000 oe or any one of the following seen: 00, 800, 1200, 9200 M1 (dep) complete method for 3 yrs compound interest SC B2 for 1261 without working OR M1 for n oe M1 for n = 3 (b) A 1 B1 cao (c) B1 for sight of 105 or 1.05 M1 for [7] 18. (a) = M1 for (imply from 9 ) A1 for (b) 9. 1 B1 ft 2sf or 3sf on (a) ( ) 3 7 M1 for 36 ( ) M1 (dep) for 3 7 or 3 or 2

8 (b) 7 or 7.1 or = = M1 for 51.5 or.37(75) seen M1 (dep) for (75) A1 for 7 or better B1 (indep) for rounding their answer correctly to the nearest whole number or 1 or 2 d.p OR M1 for M1 for or A1 for 7 or better B1 (indep) for rounding their answer correct to the nearest whole number or 1 or 2 d.p [7] (91) (68) (37) (0) (75) (0) (37) (95375) B2 for trial between 3.3 and 3. inclusive (B1 for trial between 3 and inclusive) B1 for different trial between 3.3 and 3. exclusive B1 (dep on at least one previous B1) for 3.3 NB trials should be evaluated to at least 1 dp truncated or rounded [] % = M1 for recognising that 80% is equivalent to 220 M1 for oe

9 B2 for or (B1 for or, 000, 000 or 0, 000, 000 or ) [2] oe 20 = Ann = 90, Bob = Colin = = M1 for 20 divided by A1 for A = 90 and B = 150 "90" "150" M1 ft for and A1 for cao 20 [] % = M1 for 20% = 5200 M1 for

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

1. (a) B2 for (B1 for 5.29 seen) (b) (i) 2 ( ) = B1 for ( ) 1. (a) 4.232 2 B2 for 4.232 (B1 for 5.29 seen) (b) (i) 2 (14.5 2.6) 4.5 3.6 = 49.95 B1 for (14.5 2.6) 4.5 3.6 (ii) (14.5 2.6) (4.5 3.6) = 10.71 B1 for (14.5 2.6) (4.5 3.6) 2. 7.75 10 5 2 B2 for 7.75 10