1MA1 Practice Papers Set 2: Paper 3F (Regular) Mark Scheme .

QuestionWorking1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes1.5 hundredths1B12.5y1B13.680 0001B14.1, 2, 4, 5,8, 10, 20, 402B2 All correct with no extras(B1 at least 4 correct factors)No with correctworking4M1 for 36 4 ( 144)5.36 4 ( 144)176 103 144 ( 423)M1 for 176 103 ‘144’ ( 423)15 28 420M1 for 28 15OrC1 (dep on at least M2 awarded) for 420 and 423 and ‘No shewon’t have enough’‘423’ 28 15.107 .OrM1 for 36 4 ( 144)M1 for 176 103 ‘144’ ( 423)M1 for 423 28C1 (dep on at least M2 awarded) for 15.10 or 15.11 or15.107 and ‘No she won’t have enough’1MA1 practice paper 3F (Set 2) mark scheme: Version 1.01

Question6.Working(a)1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes at 11B1 for cross at 122(b) at 0(c) near 11B1 for cross at 01B1 for cross near 1447.(a)Info plotted at(6.1, 32)1B1 for a correct plot 2mm(b)Positive1B1 for positive (correlation)(c)6.6 to 7.62M1 for a single straight line segment with positive gradient thatcould be used as a line of best fit or an indication on thediagram from 40 on the umbrella axisA1 for an answer in the range 6.6 to 7.6 inclusive8.(a)Correct reflection2M1 for a correct reflection in any lineA1 for a correct reflection in the y axis(b)Correctenlargement2M1 for enlarging 2 adjacent sides correctly or correctenlargement using incorrect scale factor ( 1)A1 cao1MA1 practice paper 3F (Set 2) mark scheme: Version 1.02

QuestionWorking9.1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes252M1 for (65 – 15) 2, 2x 15 65 (or equivalent), at least threepairs of numbers a, b where a 15 b OR a b 65A1 cao10.11.mistake identified(a)1.25 620775C1C1, e.g. added 6 instead of subtracting 62M1 for 1.25 620 (or equivalent)A1 cao(b)50 1.25 4042 4023M1 for 50 1.25( 40) (or equivalent)M1 (dep) for 42 "40" or “40” – 42orA1 cao for 242 1.25 52.552.5 50 2.50ORM1 for 42 1.25 ( 52.5) oeM1 (dep) for “52.5”-50 or 50 – “52.5”A1 cao for 21MA1 practice paper 3F (Set 2) mark scheme: Version 1.03

Question12.(a)Working1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes150 3502M1 for 150 3 or at least the first 5 multiples of 3 which maycome from addition or subtractionORA1 cao3, 6, 9, 12, 15, ( )(b)72M1 for 150 20 or 7.5 seen or multiples of 20 up to 140 or upto 160 or subtracting 20s down to 10 or 10A1 cao(c)3 20 60150 6022M1 for 20 3 or 60 seen or 150 60 (or equivalent)A1 caoOROR20,40,60,80,100,120,1403, 6, , 60, , 120, M1 for listing 20 times table with 60 or 120 identified or listing3 times table with 60 or 120 or 180 identifiedA1 cao1MA1 practice paper 3F (Set 2) mark scheme: Version 1.04

QuestionWorking13.1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotesTuesday andFriday3M1 for 179 12 or 162 12 or 170 12 or 143 12A1 for 14.9(166 ) or 15 and 13.5 or 14 and 14.1(66 ) or 15and 11.9(16 ) or 12C1 (dep M1) ft for comparison of their results for all the dayswith the number of teachers available leading to a correctstatementOrM1 for 179 15 or 162 13 or 170 14 or 143 12A1 for 11.9(3 ) or 12 and 12.4(6 ) or 13 and 12.1(4 ) or 13and 11.9(1 ) or 12C1 (dep M1) ft for comparison of their results for all the dayswith 12 leading to a correct statementOrM1 for 15 12 or 13 12 or 14 12 or 12 12A1 for 180 and 156 and 168 and 144C1 (dep M1) ft for comparison of their results for all the dayswith the number of students taking part leading to a correctstatement1MA1 practice paper 3F (Set 2) mark scheme: Version 1.05

Question14.Working1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes120 0.34003Or120 10030or 10% 40 and 10 40 or 120 120 120 40)M2 for 120 0.3 or(M1 for 30% 120 or 10% 40 (or equivalent)30% 120120 10030A1 caoOr10% 4010 40 400Or10% 40,120 120 120 4015.45a 28a15 14 6a6a2 3shown3M1 Complete improper fractionsM1 correct fractions with common denominator a multiple of 6A1 dep on M2. Improper fraction required, e.g.1MA1 practice paper 3F (Set 2) mark scheme: Version 1.0617 34,6 12

QuestionWorking1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes16.3M1 for an arc drawn, centre A or B, radius 5 cmM1 for two intersecting correct arcs drawnA1 for identifying the correct regionSC B2 for two hand drawn arcs within tolerance andregion identifiedSC B1 for two hand drawn arcs within tolerance only17.1533M1 π 9.8 ( 30.(7916.)) or π 4.9 ( 15.(3938.))M1 15.25 4 ( 61) or 30.5 2 ( 61)M1 (dep on first M1) for a correct method to find the totallength of all linesA1 for answer in the range 152 – 1531MA1 practice paper 3F (Set 2) mark scheme: Version 1.07

Question1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotesWorking18.xy–1 0–5 –2112437Straight line from(–1, –5) to (3, 7)3(Table of values)M1 for at least 2 correct attempts to find points by substitutingvalues of x.M1 ft for plotting at least 2 of their points (any points plottedfrom their table must be correctly plotted)A1 for correct line between –1 and 3(No table of values)M2 for at least 2 correct points (and no incorrect points) plottedOR line segment of y 3x – 2 drawn (ignore any additionalincorrect segments)(M1 for at least 3 correct points plotted with no more than 2incorrect points)A1 for correct line between –1 and 3(Use of y mx c)M2 for line segment of y 3x – 2 drawn (ignore any additionalincorrect segments)(M1 for line drawn with gradient of 3 OR line drawn with a yintercept of –2 and a positive gradient)A1 for correct line between –1 and 31MA1 practice paper 3F (Set 2) mark scheme: Version 1.08

QuestionWorking19.1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes164M1 for x for Cathy and x 5 for Abbie or 2(x 5) (orequivalent) for BhavnaM1 for forming an inequality by totalling their agese.g. x x 5 2(x 5) 30(condone equality)M1 (dep on M2) for complete correct method to solve theirinequality (or equality) or for 4x 15 or x 3.75 seenA1 for 16 or 17 from 2x 10 17.5, with working seenORM1 for 2x for Bhavna and x for Abbie or x –5 for CathyM1 for forming an inequality by totalling their agese.g. x x 5 2(x 5) 30(condone equality)M1 (dep on M2) for complete correct method to solve theirinequality (or equality) or for 4x 35 or x 8 seenA1 for 16 or 17 from 2x 10 17.5, with working seenSC: B2 for an answer of 16 or 17 from trial and improvementwithout the correct totals1MA1 practice paper 3F (Set 2) mark scheme: Version 1.09

QuestionWorking1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes20.Correct pie chartBirdMagpieThrushStarlingSparrowAngles:15 360 ,7220 360 ,72Freq151020273Ang7550100135M1 for any one of101520 360 , 360 , 360 ,'72 ''72 ''72 '27 360 (or equivalent)'72 '('72' must clearly come from adding frequencies)A1 for 75 seen from correct working or50 seen or 100 seen or 135 seen orone sector of angle 50o or 100o or 135o labelled correctly withbird’s name or all sectors correctly drawn10 360 ,7227 36072A1 for correct pie chart fully labelled with birds' namesOR360 72 55 15 75etcORM1 for'75''75''75' 10 or 20 or 27151515('75' should be in the range 73 – 77)A1 for 50 seen or 100 seen or 135 seen orone sector of angle 50o or 100o or 135o labelled correctly withbird’s name or all sectors correctly drawnA1 for correct pie chart fully labelled with birds' names1MA1 practice paper 3F (Set 2) mark scheme: Version 1.010

Question21.Working12 are red.1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes363M1 for P(red) 1are red3M1 for12 3 131 36 12 red or 12 33A1 for 36 cao2 blue for 1 red24 blue for 12 redOR24 12 M1 for 2 blue for 1 redM1 for 24 blue for 12 red or 24 12A1 for 36 cao1MA1 practice paper 3F (Set 2) mark scheme: Version 1.011

Question22.Working1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes180 365 65700Decision65700 1000 65.7(should have awater meterinstalled)65.7 91.22 5993.1545Per yearM1 for 180 ‘365’ ( 65700)M1 for ‘65700’ 1000 ( 65.7 or 65 or 66)M1 for ‘65.7’ 91.22 ( 5993.)A1 for answer in range ( )87 to ( )89C1 (dep on at least M1) for conclusion following from workingseen5993.154 100 28.20 88.13.OR (per 060480C6010599359296020597659115517M1 for 107 ‘365’ ( 0.293 )M1 for 180 1000 91.22 ( 16.4196)M1 for 28.2 ‘365’ ‘0.164196’ (units must be consistent)A1 for 29 – 30(p) and 24 – 24.3(p) (or equivalent)C1 (dep on at least M1) for conclusion following from 1 for (107 – 28.20) 0.9122 ( 86.384.)M1 for ‘86.384.’ 1000 ( 86384.5 )M1 for ‘365’ 180 ( 65700)A1 for 65700 and 86384.5.C1 (dep on at least M1) for conclusion following from workingseenNB : Allow 365 or 366 or 52 7 ( 364) or 12 30 ( 360) or365¼ for number of days1MA1 practice paper 3F (Set 2) mark scheme: Version 1.012

Question23.Working(a)1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0AnswerMarkNotes7n 42B2 for 7n 4(B1 for 7n d where d is an integer)(b)explanation2M1 for '7n 4' 150or any other valid method, e.g. counting on 7s (to get 150)A1 for a complete explanation e.g. the 22nd term is 150or n 22 from solution of equation or a clear demonstrationbased on 22 or complete sequence24.(a)763M1 for 89% 68M1 for 68 0.89 (or equivalent)A1 for 76 – 76.41(b)11.82M1 for (68 60) 68 100 (or equivalent)A1for 11.7 – 1225.No with reason26.1C1 for No and e.g. the area of B will be 22 4 times greaterthan the area of A, or may use values to give a counterexample.2M1 (x 2)(x 5) 2, 51MA1 practice paper 3F (Set 2) mark scheme: Version 1.0A113

National performance data from Results PlusSource of 211120613111511Mean score of students achieving Q19Q07Q07Q21Q24Q04Q22Q15Q08Q14NEWNEW1MA1 practice paper 3F (Set 2) mark scheme: Version 1.0TopicPlace valueSimplifying expressionsRoundingFactors and multiplesMoney calculationsProbability scaleScatter diagramsTransformationsIntegersSolving linear FractionsLociArea of a circleGraphs of linear equationsSolve inequalitiesPie chartsProbabilityCompound measuresNumber sequencesPercentagesAlgebraic proofSolving quadratic n% o data availableNo data availableNo data availableNo data o data 10.261.280.820.380.13No data availableNo data 01.000.560.750.500.090.160.020.000.390.16

1MA1 practice paper 3F (Set 2) mark scheme: Version 1.0 3 1MA1 Practice papers Set 2: Paper 3F (Regular) mark scheme – Version 1.0 Question Working Answer Mark Notes 9. 25 2 M1 for (65 – 15) 2, 2x 15 6