1MA1 Practice Papers Set 4: Paper 1F (Regular) Mark Scheme .

1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotesQuestion1101.4 7.142857143.72M1 for 101.4 or 7.1(42857 ) or 7 lots of 1.4A1 cao2(a)A10 7 ‒ 4 13B10 2 7 12Machine A withsupportive working3M1 for 17 ‒ 4 ( 13) or 5 7 ( 12)A1 for 13 and 12C1ft (dep on M1 and two suitable answers to compare)Machine A gives the greater answer34(b) 6 or 1.751B1 for 6 or 1.75(a)121B1 cao(b)141B1 cao(c)161B1 cao(a)502M1 for 1 kg 1000g or 1 20 ( 0.05)A1 cao(b)703M1 for 5000/20 ( 250) or for 250 /100 ( 2.5) or for5000/2000 ( 2.5)M1 for 28 “2.5”A1 caoNote: calculations may be carried out in kg or in g.1MA1 practice paper 3F (Set 6) mark scheme: Version 1.01

Question1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotesS 3 11 – 25S 8E 33 8E 415No, the shoeswon’t fit3M1 E 33 “8”C1 (dep on M1) 41 and 'the shoes will not fit'OrOr38 S 33S 5S 3 11 – 25S 86(a)M1 S 3 11 – 25M1 38 S 33 or S 38 – 33 or S 5M1 S 3 11 – 25 or S 33 – 25 or S 8C1 (dep on M1) 8 and 5 and 'the shoes will not fit'(65, 100), (80, 110)plotted1B1 for plotting both points (65, 100), (80, 110) correctly(b)positive(correlation)1B1 for positive (correlation) or length increases with height oe(c)105 – 1102M1 for a single line segment with positive gradient that couldbe used as a line of best fit or a vertical line from 76(tolerance one square); ignore any additional plots given.A1 for given answer in the range 105 1101MA1 practice paper 3F (Set 6) mark scheme: Version 1.02

Question1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes76:54M1 for2 165 oe ( 110) [black counters]3M1 (dep M1) for40 “110” oe ( 44)100M1 (dep M2) for (110 “44”) : 55 or 66 : 55 or a reversed ratioA1 caoORM1 for 2 : 1;M1 for 2 “1 0.4” or 1.2M1 (dep M2) for “1.2” : 1;A1 caoORM1 for correct method to find proportion of black counters left602120in the bag, e.g. ( )100 3300M1 for correct method to find proportion of white counters in1the bag ie oe3M1 (dep M2) for correct method to find ratio aftereg “1201”:“ ”3300A1 cao1MA1 practice paper 3F (Set 6) mark scheme: Version 1.03

Question1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version tangent drawn(8 20) 1001040B1B1B1 caoB1 any tangent drawn2M1 for (8 20) 100 or4088 5or 10020 20 5A1 cao11(a)542M1 for a complete method, e.g. 3 3 6A1 cao(b)Both prisms havethe same volume( 18 cm3)3M1 for a method to find the volume of one of the prismsA1 for prism A 18 and prism B 18C1 ft (dep on M1) for a correct comparison of their two statedvolumes1MA1 practice paper 3F (Set 6) mark scheme: Version 1.04

1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotesQuestion12(a)1 0.2 0.10.3530.7 2M1 for correctly using total probability 1 or 100% ifpercentages usedM1 (dep) for complete correct method to complete the solutionA1 for 0.35 or 35% oe(b)0.1 200202M1 for 0.1 200A1 cao131640 30 492100Yes5M1 for attempting to find the area of the second section (yellowor blue) or award M2 for attempt to find the combined area ofblue and yellow)1640 10 164492 164 550 12061640 – 1206 434M1 for attempting to find the total area of three sections or foursections using white as 400 or subtracting the 3 sections from1640Or1640 40 656,100A1 1206 or 434 or1606C1 dep on at least M1 for correct conclusion based upon theircalculations relating their white area to 400 or“1206” to 1240or “1606” to 1640656 550 12061640 – 1206 4341MA1 practice paper 3F (Set 6) mark scheme: Version 1.0M1 for attempting to find the area of one section (blue oryellow)5

Question1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes14263M1 for (360 90) 2 ( 135)M1 for 4x 31 “135” or 6x 21 “135”A1 caoORM1 for forming an appropriate equationeg 4x 31 6x 21or 6x 21 4x 31 90 360 oeM1 (dep) for isolating terms in x and number termsA1 cao15113M1 for 52 3120( 39) oe or 15 ( 50) oe4360M1 for 52 3120( 39) oe and 15 ( 50) oe4360A1 cao1MA1 practice paper 3F (Set 6) mark scheme: Version 1.06

1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotesQuestion16f:b:s 3:2:11504900 6M1 for b:s 2:1 oe or b 2s or f 3s or f 1.5b oeM1 for f:b:s 3:2:1 or b 2s and f 3s oeM1 for 900 ‘6’ or s b f ( 900)A1 caoORORs 2s 3s 900M1 for s,2s,3s oe used in algebraic method condone one error6s 900M1for reducing ‘s 2s 3s’ to the form as 900s 900 6M1 for 900 ‘6’A1 caoORORe.g.M1 for trial and improvement method using butter 2 sugaror flour 1.5 butter oe150, 100, 50 ( 300)M1 for an attempt to use butter 2 sugar and flour 1.5 butter, oe for one trial, eg 150, 100, 50300, 200, 100 ( 600)450, 300, 150 ( 900)M1 for an attempt to use butter 2 sugar and flour 1.5 butter oe for another trialA1 cao1MA1 practice paper 3F (Set 6) mark scheme: Version 1.07

Question171MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes4500 1.0424867.203M1 for 4500 1.04 or for 4500 0.04 4500 or for 4680 or180 or 360 or 4860M1 (dep) ‘4680’ 1.04 or for ‘4680’ 0.04 ‘4680’A1 for 4867.2(0) cao(If correct answer seen then ignore any extra years)Alternative methodM2 for 4500 1.042 or 4500 1.043A1 for 4867.2(0) cao[SC: 367.2(0) seen B2]1MA1 practice paper 3F (Set 6) mark scheme: Version 1.08

Question1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes1895 4M1 for angle DBC 180 – 125 ( 55)or angle EAC 180 – 125 ( 55) (May be on diagram)with reasonsA1 for x 95C2 (dep on M1) with full reasons for their given method, e.g.angles on a straight line add up to 180 and angles in a triangleadd up to 180 and corresponding angles are equalor allied angles / co-interior angles add up to 180oand angles in a triangle add up to 180 (C1 (dep on M1) for one appropriate reason linked to parallellines)M1 for angle CDB 125 – 30 ( 95) ) (May be on diagram)A1 for x 95C2 (dep on M1) for full reasons, for their given method, e.g.exterior angles are equal to the sum of the interior oppositeangles and corresponding angles are equal(C1 (dep on M1) for one of these appropriate reasons linked toparallel lines)1MA1 practice paper 3F (Set 6) mark scheme: Version 1.09

1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotesQuestion1925 50 0.5h 30 min53M1 for 25 50 or25 60 0.416h 25 minor 25 60 or60 25 or 30 (min) or 0.5(h)5060 25 or 25 (min) or 0.41(6)(h)60M1(dep) ‘0.5’ –‘0.41(6)’or ‘30’ – ‘25’A1 caoORM1 for 60 25 ( 2.4) and 60 “2.4” or50 25 ( 2) and 60 “2”M1(dep) for ‘30’ – ‘25’A1 cao204x – 2y 26x 5x – 2y 11y –33M1 (dep) for substituting found value in one of the equations orappropriate method after starting again (condone one arithmeticerror)3x 15A1 for x 5 and y –32x – y 132x – 4y 223y –91MA1 practice paper 3F (Set 6) mark scheme: Version 1.0M1 for correct process to eliminate one variable (condone onearithmetic error)10

Question211MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes394M1 for a correct method to find 52 of 40; eg. 40 5 2 ( 16)80or for a correct method to findof 40; eg. 40 8 5 ( 25)58M1 for a correct method to findof 40 and2558M1 (dep on M1) for 80 ‒ "16" – "25" ( 39) orA1of 40 39oe80ORM1 for 1 –2( 535) and 1 –5( 8M1 for a correct method to findor for a correct method to find353838)of 40; eg. 40 5 3 ( 24)of 40; eg. 40 8 3 ( 15)M1 (dep on M1) for "24" "15" ( 39)A122w 2P 3239oe80M1 for a clear intention to multiply both sides by 2 or add toboth sides as a first stepA1 for w 2P 3 oe1MA1 practice paper 3F (Set 6) mark scheme: Version 1.011

Question231MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0WorkingAnswerMarkNotes(a)n42107M1 for n 6 oe or n 3 oe or n n³ oennA1 cao(b)3x2 4x2B2 for 3x2 4x or x(3x 4)(B1 for x2 2x or 2x2 6x or 3x2 nx or px2 4x)(c)9ab(2 3b)2B2 for 9ab(2 3b)(B1 for 9a (2b 3b2) or 9b(2a 3ab) or ab(18 27b)or 3ab(6 9b) or 3a(6b 9b2)or 3b(6a 9ab)or 9ab (a two term algebraic expression))1MA1 practice paper 3F (Set 6) mark scheme: Version 1.012

National performance data from Results PlusOriginal source of Q09Q23Q19Q07Q20Q12acd1MA1 practice paper 3F (Set 6) mark scheme: Version 1.0Mean score of students achieving grade:TopicMoney calculationsSubstitution into expressionsNumber sequencesRatioDerive expressionsScatter diagramsRatioProperties of 2D , percentages,decimalsAnglesPie chartsRatioCompound interestAnglesCompound measuresSimultaneous equationsFractionsRearranging equationsFactorising .312.862.682.482.20Data to be added in January 20172.752.440.003.653.302.681.88Data to be added in January 01.781.040.860.600.130.640.230.94Data to be added in January ta to be added in January 20171.350.700.350.19Data to be added in January 20171.180.760.100.510.150.030.01Data to be added in January 20170.050.050.120.00

1MA1 practice paper 3F (Set 6) mark scheme: Version 1.0 2 1MA1 Practice papers Set 6: Paper 3F (Regular) mark scheme – Version 1.0 Question Working Answer Mark Notes 5 S 3 11 – 25 S 8 E 33 8 E 41 Or 38 S 33 S 5 S 3 11 – 25 S 8 C1 (dep