# General Certificate of Secondary Education November Mathematics (Linear) B 4365 Paper 1 Foundation Tier. Final. Mark Scheme

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1 General Certificate of Secondary Education November 2012 Mathematics (Linear) B 4365 Paper 1 Foundation Tier Final Mark Scheme

3 Glossary f Mark Schemes GCSE examinations are marked in such a way as to award positive achievement wherever possible. Thus, f GCSE Mathematics papers, marks are awarded under various categies. M M dep A B B dep Q ft SC oe [a, b] Method marks are awarded f a crect method which could lead to a crect answer. A method mark dependent on a previous method mark being awarded. Accuracy marks are awarded when following on from a crect method. It is not necessary to always see the method. This can be implied. Marks awarded independent of method. A mark that can only be awarded if a previous independent mark has been awarded. Marks awarded f quality of written communication. (QWC) Follow through marks. Marks awarded following a mistake in an earlier step. Special case. Marks awarded within the scheme f a common misinterpretation which has some mathematical wth. Or equivalent. Accept answers that are equivalent. eg, accept 0.5 as well as 2 1 Accept values between a and b inclusive. 3

4 AQA GCSE Mathematics (Linear) F - November 2012 Paper 1 Foundation Tier 1(a) (1, 6) B1 1(b) Mark at (6, 4) B1 Accept cross, dot etc Mark must be intended to be on line BC 1(c) 2 their their must be crect 18 A1 SC1 22 2(a) 323 B1 2(b) 155 B1 2(c) 520 B1 2(d) 23 B1 3 ( ) 3.60(p) 360p in total column B1 Condone 3.60 but not 360 without units ( ) 1.20(p) 120p in first column B1ft ft their cost of coffees 3 4(a) 1 B1 4(b) 175 B1 4

5 AQA GCSE Mathematics (Linear) 43651F November B3 B2 any two crect Cuboid B1 any one crect Pyramid Cylinder Cube Triangular prism 6(a) 12 B1 6(b) 35 B1 6(c) Men s bar 16 and Women s bar 24 B2 B1 f crect height of either bar f any two bars that add up to 40 f any two bars with a difference of 8 f 2x + 8 = 40 2x 8 = 40 (oe) 6(d) ( (= 25)) 5 (= 125) 25 not from increct wking Their is M2 95 A1 7(a) 3 B1 Answer may be seen in Output box if answer line blank 7(b) 50 B2 B1 f (= 10) (may be seen on diagram) f their 10 5 (may be seen on diagram) f reverse diagram reverse operations shown in der SC1 input of

6 AQA GCSE Mathematics (Linear) F - November , 20, 10, 5 and 50, 2, 2, 1 B3 B2 50, 5 and 20, 20, 10, 2, 2, 1 B1 f 110 ( ) seen (Could be implied by Ben Yusaf s money totalling 55 p) 9(a) 60(%) B1 9(b) B2 B1 f 1 crect answer with at most 25 1 increct answer f 2 crect and 1 increct 9(c) oe 28 A1 SC1 answer of 42 without 28 seen * (= 80) (= 160) oe (= 80) and (= 160) their tax = 2 their insurance 240 is M2 560 A1 Complete method f finding the money left Alternative method (= 0.3) 10 5 Q1 Strand (iii) Must have gained one and have subtracted the total of their two values from 800 oe Their (= 240) oe 560 A1 Complete method f finding the money left Q1 Strand (iii) Must have gained one and have subtracted the total from (a) 6a B1 Accept 6 a a 6 but not a6 *11(b) 6mp Q1 Strand (i) Accept 6pm but not with signs pm6 mp6 6(mp) Q0 6

7 AQA GCSE Mathematics (Linear) 43651F November Adds at least 4 fence sections using both sizes and gives a total Must use crect multiples < 36 5-feet lengths 8-feet lengths Alternative method 1 Adds together 5 and 8 (= 13) and Subtracts multiple(s) of their 13 from 36 eg (= 23) (= 10) Tests the remainder against 5 8 times table eg 10 = feet lengths 8-feet lengths Alternative method 2 Subtracts a multiple of 8 from 36 and divides remainder by 5 eg 36 8 = 28, 28 5 M2 A1 dep A1 At least two of 10, 15, 20, 25, 30, 35, 16, 24, 32 Can use diagrams tally marks SC2 5-feet and 8-feet SC Subtracts a multiple of 5 from 36 and divides remainder by 8 eg 36 5 = 31, 31 8 Repeats f a different multiple of 8 dep Repeats f a different multiple of 5 5-feet lengths 8-feet lengths A and 22 chosen their 22 their 14 with either crect 8 A (+) oe 7 A1 7

8 AQA GCSE Mathematics (Linear) F - November x 15 2x + 2 Attempt to expand both brackets to 4 terms with at least 3 crect 5x 15 2x + 2 A1 A1 if fully crect 3x 13 A1ft ft on one err 16(a) 5 B1 16(b) 46 B1 Not (c) 38 B1 Not (a) 64 B1 17(b) 116 B1 17(c) Cresponding B1 Any unambiguous indication eg circles crect wd 18(a) Translation B2 B1 Translation and 7 right, 2 down right 7 y x 2 down (7, 2) 18(b) B2 B1 f reflection of shape B in x = 1 B1 f reflection of shape A in y = 1 f reflection of B in the bottom right quadrant, including reflection in the x-axis 0 B2 B1 8

9 AQA GCSE Mathematics (Linear) 43651F November (a) Fills in totals on grid f at least 3 crect 9s 9 A1 8 is A0 even if 9 stated 64 Alternative method Identifies 9 as most likely total eg (1, 8), (2, 7), (7, 2) etc f at least 3 totals 9 A1 8 is A0 even if 9 stated 64 19(b) Fills in 4, 5 6 crect totals on grid f 2, 3, 15 and 16 Identifies at least 4 of (1, 1), (1, 2), (2, 1), (7, 8), (8, 7) (8, 8) with no wrong pairs Need not be as a bracket eg Totals need not be seen Denominat of 64 numerat of 6 64 choices identified 6 A1 Any fraction, decimal ( ) 64 6 percentage equivalent to is M2A1 64 Alternative method oe 6 A1 oe 64 9

10 AQA GCSE Mathematics (Linear) F - November x + 2x + 6x + 2x (=16x) Their 16x = 24 dep 8x = 12 is M2 1.5 (oe) 9 after 1.5 seen A1 oe SC1 14x = 24 leading to x = 24/14 oe Alternative method Guess a value and multiplies crectly by 16 Guesses a second value nearer to brackets the crect answer and multiplies crectly by 16 x = 1 gives 16 dep x = 2 gives after 1.5 seen A1 oe 21 (Angle ADB =) (=40) (Angle ADB =) 180 ( ) (=40) (180 Their CDB) 2 their ADB 2 dep May be on diagram Accept D = 40 obtuse angle at D marked labelled as 140 Their CDB must be from 180 their ADB Must be complete method 20 A1 Alternative method 50 + y + y = 90 oe y + y = 180 2y = 40 y = ( ) 2 20 A1 10

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