002 - Practice Set 5 1F Mark Scheme

Question1.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes(i)112(ii)2.3.4.5.B1 caoB1 for an appropriate reason, e.g. subtract 3 or goes down by 3(a)(i)(2, 4)(ii)(–3, –1)(b) at (2, –1)1B1 for at (2, –1)(a)(i)562B1 for 56(ii)reason(b)square or rectangle1B1 for square or rectangle(c)kite drawn1B1 for kite drawn(a)‒211B1 cao(b)271B1 cao(a)51B1 cao(b)1:31B1 cao1MA1 practice paper 1F (Set 5) mark scheme: Version 1.02B1 caoB1 caoB1 for angles on a straight line add up to 180 o oe1

QuestionWorking1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes1.83 m or 183 cm6.2M1 for 178 5 or 1.78 0.05 or 183 or 1.83A1 for 1.83 m or 183 cm (units must be correct)7.(a)91B1cao(b)332M1for 5 5or 25 seen in the workingor 2 2 2or 8 seen in the workingA1 cao8.(a)cross at 01B1 cao(b)cross at 11B1 cao(c)cross at 1/61B1 for cross in guidelines (overlay)1MA1 practice paper 1F (Set 5) mark scheme: Version 1.02

Question9.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes(a)503M1 for61 80 oe ( 60) or 80 oe ( 10)88(may be seen on gauges, e.g. 10 by16position or 60 by88position on either gauge )M1 (dep) for a complete correct methode.g.“60” – “10” or 5 "10"A1 for 50 (accept answers in the range 49 - 51 )orM1 for6 15– ( )8 885M1 (dep) for “ ” 808A1 for 50 (accept answers in the range 49 – 51 )(b)122M1 for 180 15 oeA1 cao1MA1 practice paper 1F (Set 5) mark scheme: Version 1.03

Question10.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes(a)61B1cao(b)441B1cao(c)312M1 for 60 – 29or 29 – 60or any correct method that is attempting to find thedifference between 29 and 60(allow 1 arithmetic error)A1 cao11.(a)31B1 cao(b)51B1 cao(c)182M1 for “30” – “12” seen with at least one correctA1 cao(SC : B1 for 25 and 12 seen with an answer of 13)1MA1 practice paper 1F (Set 5) mark scheme: Version 1.04

QuestionWorking1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes540 240 30012.453M1 (dep) for(or 10% 30 5% 15or correct method for 10% 5% of ‘300’30 15 45)13.M1 for 540 – 240 or 300 seen15 30010015 ‘300’100A1 cao(a)81B1 cao(b)6.5 cm4M1 for 31 9 – 9 ( 13)M1 for “13” † 2A1 for 6.5 oeC1 for units (cm)orM1 for x 9 x 9 31 oe (do not accept cm in equation)M1 for 2 9 9 31A1 for 6.5 oeC1 for units (cm)1MA1 practice paper 1F (Set 5) mark scheme: Version 1.05

Question14.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes(a)221(b)415B1 for12M1 for attempting to use a suitable common denominator withat least one of the two fractions correct4oe15A1 for15.(a)302221M1for 25 10 or 2.5 seen or 10 25or 0.4 seenor 12 12 6 oeor a complete method e.g. 25 12 10 oeA1 cao(b)1000 200 12602M1 for 500 50or1000 200 or500 10or correct scale factor clearly linked with one ingrediente.g. 10 with sugar or 5 with butter or flour or 50 with milkoran answer of 120 or 600A1 cao1MA1 practice paper 1F (Set 5) mark scheme: Version 1.06

QuestionWorking1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes16.“two angles areequal so thetriangle5M1 for 6x 10 4x 8 5x 2 or 15xM1 for 6x 10 4x 8 5x 2 180 or 15x 180 oris isosceles”(x ) 180 15A1 x 12M1 (ft from '12' if M2 scored) for 5 '12' 2 or 6 '12' – 10or 62(o) or 4 '12' 8 or 56(o)C1 both base angles as 62 and two angles are equal so thetriangle is isoscelesORM1 5x 2 6x – 10 or 2 10 6x – 5xA1 x 12M1 5 12 2 or 6 12 – 10 or 62(o) or 4 12 8 or 56(o)M1 checking their angles add to 180o, “62” ”62” ”56” 180C1 both base angles as 62 and two angles are equal so thetriangle is isosceles1MA1 practice paper 1F (Set 5) mark scheme: Version 1.07

Question17.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes1 – (0.5 0.2)0.1530.3 2M1 for 1 – (0.5 0.2) or 0.3 oe seenM1 for (1 – (0.5 0.2)) 2A1 for 0.15 oe1MA1 practice paper 1F (Set 5) mark scheme: Version 1.08

Question18.Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes1.18 4 0.2956 pints3(118 4 29.5)M1 for division of price by quantity for both bottles or divisionof quantity by price for both bottles or complete method to findprice of same quantity of milk1.74 6 0.29A1 for two correct values that could be used for a comparison(174 6 29)C1 ft (dep on M1) for comparison of their values with a correctconclusion.1.18 2 0.591.74 3 0.581.74 4 6.961.18 6 7.081.74 2 3.481.18 3 3.541.18 2 3 1.771.74 3 2 1.164 1.18 3.3( )6 1.74 3.4( )1MA1 practice paper 1F (Set 5) mark scheme: Version 1.09

QuestionWorking1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes19.2404M1 for 16 2 ( 32 girls)M1 for 16 ‘16 2’ ( 48)M1 (dep on the previous M1) for (16 ‘32’) 5 or(16 ‘32’) (4 1)A1 caoORM1 for 1 : 2 3 partsM1 for 5 schools 3 parts ( 15 parts)M1 (dep on the previous M1) for ‘15’ parts 16A1 cao1MA1 practice paper 1F (Set 5) mark scheme: Version 1.010

Question20.(a)Working1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes12 2 2 34220 2 2 5M1 for dealing with both 12 and 20 by,Writing each number as a product of prime factors (condoneone error only); or by,ORListing the factors of each number (condone one error only), orby,12: 1, 2, 3, 4, 6, 12Drawing a Venn Diagram (or two factor trees) showing allprime factors of each number (condone one error only)20: 1, 2, 4, 5, 10, 20A1 for HCF 4 (accept 2 2 or 22)(b)32 2 2 2 2 296248 2 2 2 2 3M1 for dealing with both 32 and 48 by,Writing each number as a product of prime factors (condoneone error only); or by,ORListing the multiples of each number , up to at least 96 in eachlist (condone one error only), or by,32. 64, 96, 128, Drawing a Venn Diagram (or two factor trees) showing allprime factors of each number (condone one error only)48, 96, 144, .A1 for LCM 96 (accept 25 3 or 2 2 2 2 2 3)[SC: B1 for any multiple of both 32 and 48 (e.g. 192) if M0scored]1MA1 practice paper 1F (Set 5) mark scheme: Version 1.011

QuestionWorking1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes32.521.3M1 for 45 30 ( 1.5) or 1hr 30 min seenor for 20 40 ( 0.5 or 30min)M1 (dep) for (45 20) (“1.5” “0.5”)A1 cao22.(a)(b)2y2 – 6y 7y 21(x 7)(x – 7)1B1 cao2y2 y 212M1 for 3 out of no more than 4 terms correct with correct signsor the 4 terms 2y2, 6y, 7y and 21 seen, ignoring signsA1 cao23.(a)(6 108) (4 107) 24 10 8 72.4 10 162M1A124 10 8 7oe or 24 000 000 000 000 000 or 2.4 10ncao24 10 15(b)(6 108) (4 107)6.4 10 82M1 6 10 8 0.4 1086 10 8 0.4 10 860 10 7 4 10 7or 600 000 000 40 000 000or 6.4 10nA11MA1 practice paper 1F (Set 5) mark scheme: Version 1.0or12caoor640 000 000 oe

Question24.Working150 6 or1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0AnswerMarkNotes1 150625M1 150 6 or21 1506A1 caoNB1MA1 practice paper 1F (Set 5) mark scheme: Version 1.01325scores M1 A0150

National performance data from Results nal source of questionsSessionSpecPaper 08de13801H1111Q135MM11H1306Q061MA1 practice paper 1F (Set 5) mark scheme: Version 1.0Mean score of students achieving grade:TopicNumber sequencesCoordiinates in 2DAnglesArithmeticNumber, ratioDecimalsIndex lawsProbability scalesReading scalesStem-and-leaf diagramsDistance-time / travel graphsPercentagesDerive expressionsFractionsRatioSolve linear equationsProbabilityRatioRatioHCF and LCMSpeedExpanding bracketsStandard formRelative .010.390.480.860.030.400.000.340.200.110.67

1MA1 practice paper 1F (Set 5) mark scheme: Version 1.0 3 1MA1 Practice papers Set 5: Paper 1F (Regular) mark scheme – Version 1.0 Question Working Answer Mark Notes 9. (a) 50 3 M1 for 8 6 80 oe ( 60) or