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General Marking Guidance !

x -,,!'#/B1B#0).!*@.0!$)')1C)!0()!.#*)!0$)#0*)/0D!!4E#*1/)$.!*@.0!*#$%!0()!51$.0!'#/B1B#0)!1/!)E#'0,F!0()!.#*)!G#F!#.!0()F!*#$%!0()!,#.0D!

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Guidance on the use of codes within this mark scheme ";!S!*)0(6B!*#$%!-;!S!#''@$#'F!*#$%!T;!S!G6$%1/8!*#$%!3;!S!'6**@/1'#016/!*#$%!QL3!S!N@#,10F!65!G$100)/!'6**@/1'#016/!6)!S!6$!)N@1C#,)/0!!'#6!S!'6$$)'0!#/.G)$!6/,F!50!S!56,,6G!0($6@8(!.'!?!.+)'1#,!'#.)!

Edexcel GC

SE Sam

ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

75

Edexcel GC

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ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

76 1MA0/1H

Question Working Answer Mark Additional Guidance 3.FE

No of tiles around room = 2 ! lengths of room = 8, 16, 16, 12 Total number of tiles= 8 ! 16 + 8 ! 12 = 224 Cost = 4 ! 224 ORArea of the room =4 ! 8 + 4 ! 6 = 56 Area of a tile = 0.5 ! 0.5 = 0.25 Number of tiles = 56y 0.25 = 224 Cost = 4 ! 224

896 6 M1 for doubling each length to show number of tiles for each side B1 for 8, 16, 16 and 12 M1 for a full method of finding the number of tiles (12 u 16 + 8 u 4) A1 for at least one section correct M1 for 4 u 224 A1 cao ORM1 for full method for finding the area of the room A1 at least one area correct B1 for area of tile = 0.25m2 or 2500 cm2 or 4 tiles = 1 m2

M1 for area of room y area of a tile M1 for 4 ! number of tiles A1 cao

Total for Question: 6 marks 4. (a) 5p = 20 p = 4 2 M1 add 16 to both sides

A1 cao

(b) 9 = 3q q = 3 2 M1 correct method to isolate 3qA1 cao

(c) 6x 3 10 6x = 13 2 M1 at least one expansion correct A1 13 or a statement that the answer is indep of x depending on correct working

Total for Question: 6 marks

Edexcel GC

SE Sam

ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

77

Edexcel GC

SE Sam

ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

78 1MA0/1H

Question Working Answer Mark Additional Guidance 8. 1

214 xx

215 x ,

101 x

OR

Chooses a suitable number of balls (say 10) 5 will be red The other 5 need to be shared out in the ratio 1:4, Hence 1 yellow and 4 blue

104 3 M1 1

214 xx

A1101 x

A1104 oe

Total for Question: 3 marks

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SE Sam

ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

79

1MA0/1H Question Working Answer Mark Additional Guidance 9. (a) (i)

(ii)

a2

6x4y3

3 B1 cao

B2 6x4y3(B1 for 2 out of 3 terms correct in a product)

(b) x2 + 3x + 7x + 21 x2 + 10x + 21 2 M1 3 or 4 terms out of 4 correct in a 4 term expansion A1 cao

(c) 3p(q 4p) 2 B2 cao

(B1 p(3q 12p), 12p(41

q p), p(aq + bp) where a and b are numbers)

(d)(i)

(ii)

)32(1)2(3 xxOR

3201012123 2 xxx

= 523 2 xx

(3y1)(y 3)

)1)(53( xx

4 B2 cao (B1 (3y m)(y n) where mn = 3 or m + n = 10

M1 use of the factorised form with y replaced twice by 3x + 2A1 cao ORB1 523 2 xxB1 cao

Total for Question: 11 marks

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SE Sam

ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

80 1MA0/1H

Question Working Answer Mark Additional Guidance 10. Reds 6, 12, 18, 24, 30

Greens 9, 18, 27 201 3 B1 list of red and green multiples (both to at least 18) or explicitly

states LCM B1 works out highest number (90 seen)

B1201 (accept

1005 )

Total for Question: 3 marks 11.

42

5 x

69

5

xy or

65

9 xy

x = 2.5

y =11.25

4 M1 a correct expression for x involving ratios of sides, e.g. 42

5 x oe

A1 cao

M1 69

5 x

y or6

59

xy oe

A1 cao OR

49

5 y

A1 cao

Total for Question: 4 marks

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ent Materials

Edexcel Lim

ited 2009in M

athematics A

81

1MA0/1H Question Working Answer Mark Additional Guidance 12. (a) 4 6 8 10

6 8 10 12 8 10 12 14 10 12 14 16

OR

41

41 u

441

41 uu

164 3 M1 Attempts to list all outcome pairs

A1 all 16 found A1 cao

OR

M2 441

41 uu

(M1 2,141

41 uu or 3)

A1164

oe

(b) Prob Ali wins = 166

Number of wins = 80166 u

30 3 B1 Prob Ali wins =

166 oe

M1 80'166' u

A1 ft

Total for Question: 6 marks

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ent Materials

Edexcel Lim

ited 2009in M

athematics A

82 1MA0/1H

Question Working Answer Mark Additional Guidance 13. (a) 7104.3 u 1 B1 cao

(b)

1005104.2 12 uu ( 610y )

5102.1 u 2 M1 100

5104.2 12 uu oe ( 610y )A1 cao

Total for Question: 3 marks

Edexcel GC

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ple Assessm

ent Materials

Edexcel Lim

ited 2009in M

athematics A

83

1MA0/1H Question Working Answer Mark Additional Guidance 14. Let AB = x, AD = y

Area of rectangle = xy

Area AXD = 4xy

Area CYZ =8xy

Shaded area = 8

5 xy

85 4 M1 a full method to find the unshaded area and subtracting from 1

B1 area of AXD = area of ABCDy 4B1 area of CYZ = area of ABCDy 8A1 cao ORDiagramM1 for dividing left into 2 congruent triangles for dividing right into 4 congruent triangles B1 left = 2A and 2A or

shaded = 21 of

21 =

41 =

82

B1 right = 2A and A and A or

shaded = 43 of

21 =

83

A1 cao

SubstitutionM1 for deciding upon suitable side lengths for AD and AB and calculating dimensions of internal shapes B1 for area of DZXB1 for area of ZXBYA1 cao

ORM1 for deciding upon suitable side lengths for AD and AB and calculating dimensions of internal shapes B1 for area ADXB1 for area ZCYA1 cao

Total for Question: 4 marks

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SE Sam

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Edexcel Lim

ited 2009in M

athematics A

84 1MA0/1H

Question Working Answer Mark Additional Guidance 15. (a)

(i)

(ii)

oBC =

ooOBCO

oAQ =

ooo BQOBAO

= 4a + 4b + 41

(12a 4b)

12a 4b

3b a

4

M1 o

BC = oo

OBCOA1 cao

M1 4a + 4b + 41

(12a 4b)A1 cao

(b) oOX = 12b ,

oAX =4a + 12b

= 4(a + 3b)

Correct reason, with

correct working

3B1

oOX = 12b

B1o

AX =4a + 12bC1 convincing explanation

Total for Question: 7 marks

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Edexcel Lim

ited 2009in M

athematics A

85

1MA0/1H Question Working Answer Mark Additional Guidance 16.

85

96

104 uu =

720120

720120 +

84

95

106 uu +

85

94

106 uu

720360 4

M1 for 85

96

104 uu

A1 for 720120

oe

M1 720

'120' + 2 correct cases (M1 any 2 correct cases)

or720

'120' X 3

A1 cao

SC with replacement

M1106

106

104 uu

M1 106

106

104 uu !3

Total for Question: 4 marks 17.

)53)(53()7)(53(

xxxx

537

xx 3 B1 )7)(53( xx

B1 )53)(53( xx

B1537

xx

Total for Question: 3 marks

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Edexcel Lim

ited 2009in M

athematics A

86 1MA0/1H

Question Working Answer Mark Additional Guidance 18. (a)

21 1 B1

(b) (2 + 3 ) )31( u= 93322

335 2 M1 4 term expansion with 3, 4 terms correct and sight of 3 or 9A1 cao

Total for Question: 3 marks 19. (a) Smooth

curve2 B1 correct plot of their values

B1 smooth curve through their points

(b) x = 3 y = 0

3 M1 attempts to draw circle at origin M1 uses radius 3 cm (using graph scale correctly) A1 cao

OR

B1 for substituting a value of x into y = x(x 3) and 22 ryx B1 for substituting y into x = 3 into x(x 3) and 22 ryx B1 cao

Total for Question: 5 marks

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Edexcel Lim

ited 2009in M

athematics A

87

1MA0/1H Question Working Answer Mark Additional Guidance 20.

QWCii, iii

22 )12()12( nn=

)144(144 22 nnnn

= 8n

OR22 )12()12( nn =

))1212()12()12( nnnn

= 2 ! 4n = 8n

Fullyalgebraic argument, set out in a logical and coherentmanner

6 B2 the nth term for consecutive odd numbers is 2n 1 oe (B1 2n + k, 1zk or n = 2n 1 or 2x 1B1 use of 2n + 1 and 2n 1 oe M1 22 )12()12( nnM1 )144(144 22 nnnn

C1 conclusion based on correct algebra QWC: Conclusion should be stated, with correct supporting algebra.

ORB1 use of 2n + 1 and 2n 1 oe M1 22 )12()12( nnM1 ))1212()12()12( nnnnC1 conclusion based on correct algebra QWC: Conclusion should be stated, with correct supporting algebra.

Total for Question: 6 marks

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Edexcel Lim

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athematics A

88 1MA0/1H

Question Working Answer Mark Additional Guidance 21.

L F FD CF 010 40 4 40 1020 60 6 100 2040 90 4.5 190 4080 60 1.5 250 >80 0 0 250

HistogramOR

Cumulative Frequencypolygon

82%

6 B1 Scales labelled and also marked on the vertical axis with frequency density or with cumulative frequency M1 frequency densities calculated, at least one non-trivial one correct. A1 all correctly plotted (M1 cumulative frequencies correct)

M1 Use 50 on the horizontal scale of CF diagram read off vertical axis (200-210)or Use 50 on the horizontal scale of a histogram and covert area to the left to a frequency M1 convert to a percentage A1 80 85

Total for Question: 6 marks

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Edexcel Lim

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athematics A

89

2.

Fraction Decimal % kg Jan

101

0.1 10% Not known

Feb

81 0.125 12.5% 15 kg

Mar

10013 0.13 13% 14.56 kg

14.A B

CD

X

Y

Z

A B

CD

X

Y

Z

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Edexcel Lim

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90

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