05b Practice Test Set 1 - Paper 2H Mark Scheme

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0QuestionWorking1AnswerMarkNotes4883M1 600 67.1 ( 40260) or 67.1 82.5 ( 0.813 )M1 (dep) “40260” 82.5 or “0.813.” 600A1 caoSC: B2 for 712212, 24, 36, 48, 60, 72, .8, 16, 24, 32, 40, 48, 56,64, 72, 25.805M1 for listing at least 3 multiples of each of 12 and 8 or 24 intwo lists of multiples or from factor treesM1 (dep) for attempt to find a common multiple of 12 and 8above 60 ( 72)M1 (dep M2) for method to find the number of boxes and thenumber of packs 72 12 ( 6) and 72 8 ( 9)M1 for finding the total cost by multiplying numbers by costand adding eg “6” 2.50 “9” 1.20A1 for 25.8(0)362 92 11710.83M1 for 62 92 117 45M1 for (36 81) or 117A1 for 10.8 – 10.82(a)Negative1B1 cao(b)117–1232M1 for a line of best fit drawn between (9,130) and (9, 140) andbetween (13,100) and (13,110) inclusiveA1 for 117 – 123335B1 for x 48 (or 2x 96 oe) and 4xM1 for x 4x 2(x 48) oeM1 for subtracting 2x from both sidesx 4x 2(x 48)5x 2x 963x 961MA1 Practice Tests: Set 1 Regular (2H) mark scheme – Version 1.0This publication may only be reproduced in accordance with Pearson Education Limited copyright policy. 2016 Pearson Education Limited.

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0QuestionWorkingAnswerMarkA1 for 3x 96 oeA1 cao for 33x 32ORTrial and ImprovementB1 for 1 correct trial of S, N and CM1 for an improved correct trial of S, N and CM1 for a correct trial of 32M1 for a correct trial of 33A1 (dep on M2) for 33 caoNB: Accept other letters instead of xNB: an answer of 32 without working scores 0 marksOR6S 132165162SNC105820Notes4x 4x 3x 4 3x 4 14x 85x 5x x – 3 7x –3 18x – 618x – 6 14x 84x 14x 14/4 3.5 oe1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.0x 3.5L 14.5W 1462M1 4x 4x 3x 4 3x 4 ( 14x 8)M1 5x 5x x – 3 7x – 3 ( 18x – 6)M1 equating e.g. 18x – 6 14x 8 (4x 14)A1 x 14/4 3.5 oeA1 for 14.5 or “3.5” 3 4 ftA1 for 14 or “3.5” 4 ft

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version ,0.262*(b)NoAs 0.454 0.54B1 for 0.78,0.22 correctly placedB1 for 0.26,0.74 correctly placedM1 for 0.55 “0.22” or 0.45 “0.74” oeM1 for 0.55 “0.22” 0.45 “0.74” oeA1 for 0.454 oeC1 (dep on M1) for conclusive statement based on their answercompared to 50%x 5, y 13Area of trapezium Length is 3x 4 3 3.5 4 Width is 4x 4 3.5 782y y 3 6orx 2x 3 121MA1 practice test paper 2H (Set 1) mark scheme: Version 1.03M1 for a complete method to eliminate one variable (condoneone arithmetic error)A1 x 5A1 y 1NB: Candidates showing no working score 0 marks

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0QuestionWorking9Answer28% or1450Mark4NotesM1 for 100 ‒ 30 ( 70) or 1 3 7 10 10 M1 for “70” (3 2) ( 14) orM1 for “14” 2 orA1 for 28% or7 7 (3 2) 10 50 7 25014oe50ORM1 for a correct method to find (100 ‒ 30)% of any actual sumof moneyM1 for “350” (3 2) ( 70)M1 for “70” 2A1 for 28% or14oe50ORM1 for starting with two numbers in ratio 3:2, e.g. 21 and 14M1 for equating sum of their numbers to 100 – 30 ( 70%),e.g. ‘21’ ‘14’ ( 35)M1 for scaling sum of their numbers to 100%,e.g. ‘35’ 70 100 ( 50)1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.04

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0QuestionWorkingAnswerMarkNotes14oe50SC: award B3 for oe answers expressed in an incorrect form2.8e.g.10M1 for correct evaluation of at least 3 odd cases or sequence of5, (8), 13, (20), 29 seen or the expression with n 9 or 11 or19 or 21 or substituted but not evaluatedA1 for 85 or 125 or 365 or 445 or identifiedM1 for substitution into the cosine rule e.g.3.62 1.82 2.72 – 2 1.8 2.7 cosAA1 for 28% or10115, 13, 29, 53, 85, 125(a)(85)2104.5 3 1.8 2 2.7 2 3.6 2 M1 for cos A 2 1.8 2.7 3.24 7.29 12.96 [ ( 0.25) ]9.72 A1 for 104.47.(b)2.42M1 (ft) forsin (a)A1 for an answer in the range 2.3 to 2.4 or ft from their (a) ifsupported by correct working.1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.05

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0Question*1213WorkingAnswerMarkNotesd: UB 190.5 (190.49.)LB 189.5f: UB 25.75 (25.749.)LB 25.657.45B1 for one correct bound of dB1 for one correct bound of fM1 for a correct method to find the upper bound of c,e.g. “190.5” "25.65” ( 7.4269.)or for a correct method to find the lower bound of c,e.g. “189.5” ”25.75” ( 7.359.)A1 for 7.42(69 ) and 7.35(92 )C1 (dep on M1) for a statement that both LB and UB round to“7.4” to one decimal place oeNB an answer of 7.39(2996 ) or 7.4 without working or from190 25.7 scores no marks4M1 for finding the volume of either liquid A or B or the massof liquid CM1 for a complete method to find the volume AND mass ofliquid CM1 (dep M2) for “total mass” “ total volume”A1 for 0.957 to 0.961400 .7 200Volume of A Volume of B because the LB andUB agree to thatnumber of figures0.957128 801 .6Mass of C 140 128 268Density of C 2682801MA1 practice test paper 2H (Set 1) mark scheme: Version 1.06

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0Question14Working(a)(b)y 2x 5y – 5 2xORx 2y 5AnswerMark111B1 caox 522M1 for a correct first stage: subtract 5 from both sides or divideall terms by 2NB Accept f(x) in place of yA1x – 5 2y(c)(d)(i)( 2 x 5) 2 25x 5(oe)2– 161B1 cao4x2 20x5M1B1 for correct expansion of (2x 5)24 x 2 10 x 10 x 25 oe(ii)Notes2A1 4x 20x or a correct fully or partially factorisedexpressionM1 4x(x 5) ( 0) or x(4x 20) ( 0) or 2x(2x 10) ( 0)x 0, x 5 20 202 4 4 02 4or x(x 5) ( 0) or for, e.g.A1 for both solutions1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.07

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0Question15Working5 75 8 20 19 20 197 57 8 20 19 20 198 58 7 20 19 20 19ORAnswerMark4NotesM1 for at least one product of the forma b 20 19M1 for identifying all products(condone 2 errors in 6 products, 1 error in 3 products)Either5 7 5 8 7 5 7 8 8 5 8 7 , , , , , 20 19 20 19 20 19 20 19 20 19 20 19OR 5 15 7 13 8 12 20 19 20 19 20 19 5 15 7 13 8 12 , , 20 19 20 19 20 19 OR1–OR7 68 7 5 4 201920192019 5 4 7 6 8 7 , , 20 19 20 19 20 19 M1 (dep) for5 75 87 57 88 58 7' ' oe20 19 20 19 20 19 20 19 20 19 20 19OR 5 15 7 13 8 12 oe ' ' 20 19 20 19 20 19 OR1 – ' 5 4 7 6 8 7 ' oe 20 19A1 for1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.0820 1920 19 131oe or 0.68947 correct to at least 2 decimal190

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0QuestionWorkingAnswerMarkNotesplaces or answer that rounds to 0.69NB : If decimals used for products then must be correct to atleast 2 decimal placesWith replacementM0M1 for identifying all products(condone 2 errors in 6 products, 1 error in 3 products)M1 (dep)269269oe or 0.655 (NB:oe or 0.655 implies M2)400400Partial replacement121141SC: B2 foroe or 0.705 oroe or 0.6368 correct to at190200least 2 decimal placesA0 for16P k/x26 k/52 (k 150)150823² 1802.343M1 for P k/x2 or P k/x2M1 for 6 k/52 or (k ) 150 seen or 6 52 P 82A1 2.3416202M1 for using a scale factor of 3² ( 9)A1 caoP 171MA1 practice test paper 2H (Set 1) mark scheme: Version 1.09

1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0Question18Workinge.g.1 7.6 3 9.4 2 5.6 6 1.4 55.455.4 2 27.727.7 7.6 20.120.1 9.4 2.138 Median 55 2.138 2.5 60.345 AnswerMarkNotes60.34M1 for attempt to find the area of one barM1 for attempt to find total area 2 (condone one error)M1 for correct attempt to locate median in second bar (condoneone arithmetic error)A1 for 60.3(4.)19(–15, 0)4M1 method to find gradient of tangent, e.g. –1 –61( )321M1 for method to find equation of tangent with m “ ”2M1 for method to find x-axis intercept of tangentA1 cao1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.010

National performance data from Results PlusSource of 113068111506140615061401906111115061311Mean score of students achieving Q26Q23Q21Q21NEW1MA1 practice test paper 2H (Set 1) mark scheme: Version CF and LCMPythagoras in 2DScatter diagramsSolve inequalitiesSolve linear equationsProbability tree diagramsSolving simultaneous equationsRatioNumber sequencesSine and cosine ruleBoundsCompound measuresFunctionsConditional probabilityDirect and indirect proportionRatioHistograms and grouped data11Mean% 0.230.12No data 00.00

1MA1 practice test paper 2H (Set 1) mark scheme: Version 1.0 2 1MA1 Practice Tests Set 1: Paper 2H (Regular) mark scheme – Version 1.0 Question Working Answer Mark Notes x 32 OR S N C S C 2N 1 0 5 8 40 50 11 6 2 0 6 8 80 100 13 6 3 0 7 8 12 0 140 15 6 3 2 8 0 12 8 160 16 0 3 3 8 1 13 2 165 16 2 A1 for 3x 96 oe A1 cao for 33 OR Trial and .