GCSE Mathematics (1MA1) Foundation Tier Paper 3F October .

GCSE Mathematics (1MA1) – Foundation Tier Paper 3FOctober 2016 mock paper mark scheme

NOTES ON MARKING PRINCIPLESGuidance on the use of codes within this mark schemeM1 – method mark. This mark is generally given for an appropriate method in thecontext of the question. This mark is given for showing your working and may beawarded even if working is incorrect.P1 – process mark. This mark is generally given for setting up an appropriateprocess to find a solution in the context of the question.A1 – accuracy mark. This mark is generally given for a correct answer followingcorrect working.B1 – working mark. This mark is usually given when working and the answercannot easily be separated.C1 – communication mark. This mark is given for explaining your answer orgiving a conclusion in context supported by your working.In some cases full marks can be given for a question or part of questions whereno working is seen. However, it is wise to show working for one small slip couldlead to all marks being lost if no working is shown.Some questions (such as QWC) require all working to be shown; in suchquestions, no marks will be given for an answer with no working (even if it is acorrect answer).Note that in some cases a correct answer alone will not score marks unless supportedby working; these situations are made clear in the mark scheme. Examiners areprepared to award zero marks if the student’s response is not worthy of credit accordingto the mark scheme.October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme2Version 1.0

Question 1 (Total 1 mark)PartWorking or answer an examiner mightexpect to seeMark42 000B1NotesThis mark is given for the correct answeronlyQuestion 2 (Total 1 mark)PartWorking or answer an examiner mightexpect to seeMark3.05, 3.2, 3.205, 3.25B1NotesThis mark is given for the correct answeronlyQuestion 3 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes(a)4B1This mark is given for the correct answeronly(b)(5 6 7 5 3 6 7) –(7 6 6 3 2 4 4)M1This mark is given for a method to for tifind the difference in hours of sunshineA1This mark is given for the correct answeronlyor(5 – 7) (6 – 6) (7 – 6) (5 – 3) (3 – 2) (6 – 4) (7 – 4)7Question 4 (Total 3 marks)PartWorking an or answer examiner mightexpect to seeMarkNotes45 2.85 ( 15.789 )P1This mark is given for a start to a processto find the solution15 2.85 42.75P1This mark is given for a complete processto find the amount of change Ben shouldgetA1This mark is given for the correct answeronly45 – 42.75 2.25October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme3Version 1.0

Question 5 (Total 5 marks)PartWorking or answer an examiner mightexpect to seeMark(a)(b)(c)NotesC1This mark is given for a correct patterndrawn4, 6, 8, 10, 12, 14, M1This mark is given for a evidence ofinterpretation: a number sequence orfurther patterns drawn16A1This mark is given for the correct answeronlye.g. pattern 10 has 22 squaresC1This mark is given for a start to anexplanation or counterexampleNo; pattern number 10 has 22 squares andpattern number 20 has 42 squares, not 44squaresC1This mark is given for a completeexplanationQuestion 6 (Total 2 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes2, 3, 5, 7, 11, 13, .M1This mark is given for a method toidentify two different prime numbers2 7 9C1This mark is given for a counterexampleshownor3 13 16or2 23 25, etcQuestion 7 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes(a)8–1 7B1This mark is given for the correct answeronly(b)1, 2, 2, 3, 3, 6, 7, 8M1This mark is given for a method of listingthe numbers in order and identifying themiddle two numbers as 33A1This mark is given for the correct answeronlyOctober 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme4Version 1.0

Question 8 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkNotesP1This mark is given for a process to startfinding a solution32 195 (180)53P1This mark is given for a complete processto find a solution237A1This mark is given for the correct answeronly3 195 ( 117)5or2 (375 – 195) ( 120)3Question 9 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes0.21 or 19500P1This mark is given for a process forconverting between ml and l19500 210P1This mark is given for a process to findout how many cups can be completelyfilledA1This mark is given for the correct answeronlyor19.5 0.2192Question 10 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMark4.5 cm, 6 cm or 7.5 cmM1This mark is given for a method ofmeasuring of one of the lines, 2mm,and scaling ( 2)M1This mark is given for a complete methodto find AB BC – AC (scaled orunscaled)A1This mark is given for an answer in range4.8 – 7.2, supported by correct working9 km, 12 km or 15 kmAB BC – AC 4.5 6 – 7.5orAB BC – AC 9 12 – 156October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme5NotesVersion 1.0

Question 11 (Total 2 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes78 : 52M1This mark is given for a method to forrepresenting as a ratio3:2A1This mark is given for the correct answeronlyQuestion 12 (Total 4 marks)PartWorking or answer an examiner mightexpect to seeMarkABC 46 NotesM1This mark is given for a method leading tothe evaluation of another angle in triangleABCA1This mark is given for the correct answeronlyC1This mark is given for all appropriatereasons related to method shownC1This mark is given for a concludingstatementvertically opposite angles are equalorBAC 180 – 113 ( 67 )angles on a straight line add to 180 ACB 67 angles in a triangle add up to 180 ACB BAC 67 an isosceles triangle has two equal anglesQuestion 13 (Total 3 marks)PartWorking an or answer examiner mightexpect to seeMarkNotes438and1056P1This mark is given for a process to startmaking a comparison80% and 76.7 %P1This mark is given for a complete processto give values that can be used forcomparisonA1This mark is given for the correctstatement with supporting workingor56 0.8 44.8No, the advert is not supportedOctober 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme6Version 1.0

Question 14 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkx –2, y – 3M1x –1, y –1NotesThis mark is given for at least 2 correctattempts to find points by substitutingx 0, y 1orx 1, y 3line drawn with gradient of 2 or linedrawn with y intercept at 1x 2, y 5x 3, y 7M1This mark is given for a at least 2 correctpoints plottedorline segment of y 2x 1 drawnA1This mark is given for the correct linebetween x – 2 and x 3Question 15 (Total 5 marks)Part(a)(b)Working or answer an examiner mightexpect to seeMarkNotes8, 11, or 16 seenM1This mark is given for a method tosubstitute 1, 2 or 3 into n2 78, 11, 16A1This mark is given for the correct answeronly (128 – 7) 11; 11th termB1This mark is given for the correct answeronlyOctober 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme7Version 1.0

Question 16 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMark 20 50NotesM1This mark is given for a method to findthe right amounts for 50 walnut biscuitsA1This mark is given for 2 or 3 amountscorrectA1This mark is given for all amounts corrector50 20 ( 2.5)125, 250, 100, 125, 5Question 17 (Total 4 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes(a)2y3B1This mark is given for the correct answeronly(b)m(m 1)B1This mark is given for the correct answeronly(c)c – 5 3hM1This mark is given for subtracting 5 fromboth sidesoror3h 5c 33h dividing each term by 3 as a first stepc 53A1This mark is given for the correct answeronlyQuestion 18 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMark24, 48, 72, 96, 120, NotesP1This mark is given for a process to listmultiples of 24 and 20 with at least 3numbers in each list, or an expansion of24 and 20 into factors120 minutes (or 2 hours)A1This mark is given for a correct answeridentifying the lowest common multiple(LCM)9.30 a.m.A1This mark is given for a correct answeronly20, 40, 60, 80, 100, 120, October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme8Version 1.0

Question 19 (Total 2 marks)PartWorking or answer an examiner mightexpect to seeMark(x 5)2(x 5)2 C1NotesThis mark is given for a correct forexpansion of (x 5)2 with at least 3 termscorrector for a substitution of the same numberinto both expressions (counterexample)(x 5)2 x2 10x 25C1Azmol is wrong; x2 10x 25 x2 25 forall values of xThis mark is given for a correctevaluation of both expressionsQuestion 20 (Total 4 marks)PartWorking or answer an examiner mightexpect to seeMark105 (5 – 2) ( 35)P1This mark is given for a strategy to startto solve the problemP1This mark is given for a process to findLaura’s shareP1This mark is given for a process to findthe percentage Laura getsA1This mark is given for an answer in range36.3 to 36.4Kim gets 70, Molly gets 175385 – (2 35) – (5 35) ( 140)Notesor(385 35) – 2 – 5 ( 4)140 100385or4 1001136.4%Question 21 (Total 2 marks)PartWorking an or answer examiner mightexpect to seeMarkNotesPoints are joined with a curve, not withline segmentsC1This mark is given for a correct statementPoints should be plotted at mid-points ofthe intervals, not end pointsC1This mark is given for a correct statementOctober 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme9Version 1.0

Question 22 (Total 2 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes5% 2.30; 100% 20 2.30M1This mark is given for a method to link5% with 2.30 or 100 5 ( 20)46A1This mark is given for a correct answeronlyQuestion 23 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMark(180 3) 5 ( 108)NotesP1This mark is given for a process to findeither an interior or an exterior angle ofthe pentagon ABCDEP1This mark is given for a complete processto find angle CFDA1This mark is given for a correct answeronlyor360 5 ( 72)FCD CDF 72CFD 180 – 72 – 7236Question 24 (Total 6 marks)Part(a)Working or answer an examiner mightexpect to seeπ 4.22 ( 2)NotesP1This mark is given for a process to findthe area of circle or semicircleP1This mark is given for a process to findthe area of the garden ( 74.7.)74.7 12 ( 6.22, so 7 boxes required)P1This mark is given for a process to findnumber of boxes required7 4.99P1This mark is given for a process to findthe cost of 7 boxes34.93A1This mark is given for a correct answeronlyCarol might need to buy fewer boxesC1This mark is given for a correct statement(8.4 5.6) (b)Mark 4.2 22October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme10Version 1.0

Question 25 (Total 4 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes4 3,7 7B1This mark is given for two correctanswers only3 5 3 5, , ,8 8 8 8B1This mark is given for four correctanswers only3 5 7 8M1This mark is given for a method to findthe probability of two red pens1556A1This mark is given for a correct answeronlyQuestion 26 (Total 3 marks)PartWorking or answer an examiner mightexpect to seeMarkNotes(a)3.4 108B1This mark is given for the correct answeronly(b)0.0000001670.00911M1This mark is given for converting at leastone numberorfor digits 183 seen0.0000183A1This mark is given for an answer in therange 0.0000183 to 0.000018332Question 27 (Total 2 marks)PartWorking or answer an examiner mightexpect to seetan x Mark1 .93 .230.7October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme11NotesM1This mark is given for a method to recallthe appropriate formulaA1This mark is given for an answer in range30.6 to 30.7Version 1.0

October 2016 GCSE Mathematics 1MA1 – Paper 3F mock mark scheme Version 1.0 4 Question 5 (Total 5 marks) Part Working or answer an examiner might expect to see Mark Notes (a) C1 This mark is given for a correct pattern drawn (b) 4, 6, 8, 10, 12, 14, M1 This mark is giv