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General Marking Guidance !
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Edexcel GC
SE Sam
ple Assessm
ent Materials
Edexcel Lim
ited 2009in M
athematics A
75
Edexcel GC
SE Sam
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
Edexcel GC
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
Edexcel GC
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
Edexcel GC
SE Sam
ple Assessm
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
Edexcel GC
SE Sam
ple Assessm
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
SE Sam
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
Edexcel Lim
ited 2009in M
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
Edexcel Lim
ited 2009in M
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
Edexcel GC
SE Sam
ple Assessm
ent Materials
Edexcel Lim
ited 2009in M
athematics A
90
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