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PRESS F5 TO START. This presentation contains Credit past paper questions complete with solutions. The questions are sorted into topics based on the Credit course. To access a particular question from the main grid just simply click on the question number. - PowerPoint PPT Presentation
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Main Grid
This presentation contains Credit past paper questions complete with solutions.
The questions are sorted into topics based on the Credit course.
To access a particular question from the main grid just simply click on the question number.
To access the formula sheet press the button.
To begin click on Main Grid.
PRESS F5 TO START
F
Topic2001 2002 2003 2004 2005
I II I II I II I II I II
Calculations 1 1 1 1 1
Fractions 2 2 2 2 2
Scientific Notation 1 1 1 1 1
% Calculations 3 2 6 4 3
Circle Geometry 6 10 8 10 10
Similarity 12 9 6
Area/Volume 5 8 11 5 13 4 12 9 12 3 8
Speed/Distance/Time 11
Triangle Calculations 6 10 7 4 3 6 7 5 6 7 5 7
Trig Equations & Graphs 7 8 9 10 11
Patterns 9 11 11 8
Brackets/ Factorising 5a 3 5
Quadratics 8 9 3 8 11 4
Surds & Indices 10 10 11 12 11 11
Algebraic Fractions 5b 4
Formulae 11 5 3 9
Ratio/Proportion/Variation 9 7 10 10
The Straight Line 6 4 12 6 10 2 5 9
Equations/Inequations 4 3 6
Simultaneous Equations 13 9 7 8
Change The Subject 6
Functions 3 4 4
Statistics 5 7 2 8 8 9 2 5 7 3 4 7 2
2011
-
2006
-201
0
Topic2006 2007 2008 2009 2010
I II I II I II I II I II
Calculations 1 1 1 1 1
Fractions 2 2 2 2
Scientific Notation 1 1 1
% Calculations 3 1 5 1 7 8 6
Circle Geometry 8 12 9 11 6
Similarity 11 8 4 7
Area/Volume 7 7 11a 12 2 11 5b
Speed/Distance/Time
Triangle Calculations10 5 6 6 8 11 5 7 8 5 11 9
5a 8 10 12
Trig Equations & Graphs 10 13 10 12 13
Patterns 14 7 12 10
Brackets/ Factorising 5a 4a 5 2 11c 4ab 4 2
Quadratics 8 2 11b 13 8 11 10 3 10 4 4 12
Surds & Indices 4bc 7 9 9 10 11 4c 5 8
Algebraic Fractions 5b 5
Formulae 9
Ratio/Proportion/Variation 7 10 9 6 7 9 11
The Straight Line 4 6 4 9
Equations/Inequations 6 11 4 6 12 13 10 3 11
Simultaneous Equations 9 11 4 8 7
Change The Subject 4 3 9 3
Functions 3 3
Statistics 2 3 3 2 3 6 5 6 5 3
2001
-200
520
11 -
Topic2011
I II I II I II I II I II
Calculations 1
Fractions 5
Scientific Notation
% Calculations 1, 4
Circle Geometry 5, 8
Similarity 6
Area/Volume 9, 11
Speed/Distance/Time
Triangle Calculations 10 7
Trig Equations & Graphs 12
Patterns 12
Brackets/ Factorising 2 2
Quadratics 3, 13
Surds & Indices 9
Algebraic Fractions
Formulae 10
Ratio/Proportion/Variation 11
The Straight Line 8
Equations/Inequations 4
Simultaneous Equations 7
Change The Subject
Functions 3
Statistics 6
2001
-200
520
06-2
010
a
acbbxcbxax
2
4 are 0 of roots The
22
Sine rule:
Cosine rule:
Area of a triangle:
Standard deviation:
bc
acbbccba
2A cosor A cos 2
222222
C
c
B
b
A
a
sinsinsin
Cabsin2
1 Area
size. sample theis where
,1
/
1
222
nn
nxx
n
xxs
Main Grid
Main Grid
Solution
F
Q1 BODMAS
3.1 + 2.6 × 4 2.6 × 4 = 10.4
3.1 + 10.4 = 13.5
Main Grid
Main Grid
Solution
F
Q2
24
78
24
19924
1128738
)148()293(3
14
8
293
24
8
53
Main Grid
Main Grid
Solution
F
Q3
401525)5(
)15(25)5(
)53()5()5(
3)(2
2
f
f
f
mmmf
Main Grid
Main Grid
Solution
F
Q4
3
155
16138
16)13(8
)4( 44
)13(2
x
x
xx
xx
xx
Main Grid
Main Grid
Solution
F
Q5
10 15 20 25 30 35 40 45 50 55Time in Days
60
Timberplan
Allwoods
Furniture Delivery Time
For consistency of delivery the furniture maker should use Timberplan, because a smaller interquartile range suggests a smaller range of delivery times, therefore, more consistent.
Main Grid
Main Grid
Solution
F
Q6
atM
atat
atM
at
atM
AT
AT
AT
1
))((
22
Main Grid
Main Grid
Solution
F
Q7
60
31
600
310 years) 3 than P(less
600
201608050 years) 3 than P(less
60
1
600
10 y Probabilit
cars 70604200 :4200 sample aIn
Main Grid
Main Grid
Solution
F
Q8
4
321
35.045.04
5.0at valuemin.symmetry of Because
)0,5.0( )0,5.1(
5.1 and 5.0
0)32)(12(
0344
:0 Cuts
)3,0(
330404
:0 Cuts
2
2
2
y
y
y
x
CB
xx
xx
xx
y x-axis at
A
y
x y-axis at
Main Grid
Main Grid
Solution
F
Q9
)124)(12(18
28 )12)2)((12(18
)1)(1(1
)177)(17(17
23
3 323
23
23
pppp
pppppp
nnnn
Main Grid
Main Grid
Solution
F
Q10
4
2
24
26
24
236
24
72
24
24
24
3
Main Grid
Main Grid
Solution
F
Q11
20
12
minimum. a is 2 when valueMaximum
1
22
20210
2
2010
8
20
2
20
0
c
3
I
c
I
c
c
c
Main Grid
Main Grid
Solution
F
Q1
910526.5
5256000000
100006024365
Main Grid
Main Grid
Solution
F
Q2
28.1647.1
9
489.7111531.71130
11010
3.84331.71130
1
22
2
s
s
nn
xx
s
3.8410
3.843mean
In rural areas petrol prices are higher on average and there is a greater variation on prices.
Main Grid
x x2
81.0 6561
83.9 7039.21
84.2 7089.64
84.2 7089.64
84.4 7123.36
84.8 7191.04
84.9 7208.01
85.1 7242.01
85.2 7259.04
85.6 7327.36
843.3 71130.31
Main Grid
Solution
F
Q3
907.53 £150721.28 46186.25 104 :Value
28.721 46£)92.0(000 60 :Contents
25.186 104£)05.1(000 90 :House
3
3
Main Grid
Main Grid
Solution
F
Q4
63
63
)3( 23
1
2 3
1
12
4
012
26
xy
xy
xy
cMcMxy
6
11419
1381512
24412
4654
63
x
x
xy
xy
xy
xy
4,6
4
123
663
y
y
yQ4b
Main Grid
Main Grid
Solution
F
Q5
cmd
hr
hr
cmhrV
3.726.763.32
63.32.131214.3
49.49749.497
49.497
49.4971525.325.314.3
2
32
Main Grid
Main Grid
Solution
F
Q6 We need to calculate angle W. Use the sine rule to calculate angle P.
o
o
o
W
P
k
KpP
K
k
P
p
8.1572.22180 P WBearing
2.228.27130180
8.27)467.0(sin
467.0410
130sin250sinsin
sinsin
1
Main Grid
Main Grid
Solution
F
Q7
oooo
o
o
o
o
o
o
oo
xx
x
x
x
x
x
x
4.3556.4360 and 6.1846.4180
6.4)081.0(sin Angle Related
081.0sin
2161.0sin
161.0sin2
1839.0sin2
1sin2839.0
1sin240tan
1
Main Grid
Main Grid
Solution
F
Q8 Volume = end area × depth
3
2
75.275
515.55
15.55
100sin1485.0
sin2
1
cmV
V
cmA
A
cabA
o
o
Main Grid
Main Grid
Solution
F
Q9
4
27
427 94
3
32
3
22
22
L
Lkk
Lkk
Lkk
RRd
kLR
d
LR
Main Grid
Main Grid
Solution
F
Q10
oA
A
bc
acbA
5.107301.0cos
301.0336
101cos
12142
211214
2cos
1
222222
h70cm
(180 – 107.5 = 72.5º)
cmh
h
h
o
o
8.66
5.72sin70
705.72sin
Main Grid
Main Grid
Solution 11c
Solution 11ab
F
Q11ab
60050
2030600
)20)(30( )
30 )
2
2
xxA
xxxA
xxAb
xla
Main Grid
Solution 11c
Q11c
cmcm
cbaa
acbb
xx
xx
cm
25by 35 dimensions Minimum
24.41by 41.34 dimensions Minimum
41.54 41.4 2
346050
2
346050
2
)960(250050
12
)24014(5050
240 50 1 2
4
024050
24050
2406000.4 600 of 40%
6002030 Area Original
2
2
2
2
2
Main Grid
Main Grid
Solution
F
Q1 BODMAS
7.18 – 2.1 × 3
2.1 × 3 = 6.3
7.18 – 6.3 = 0.88
Main Grid
Main Grid
Solution
F
Q2
2
11
2
3
24
363
4
8
94
3
8
94
3
8
11
Main Grid
Main Grid
Solution
F
Q3
1
33
225
)1(25
x
x
xx
xx
Main Grid
Main Grid
Solution
F
Q4
6)3(
)15(9)3(
)35()3()3(
5)(2
2
f
f
f
xxxf
Main Grid
Main Grid
Solution
F
Q5
3
2
23
22
63
4
22
4
22
22
qp
qp
qpqp
qp
qp
qpqp
qp
Main Grid
Main Grid
Solution
F
Q6
tLh
htL
thL
thL
2
2
2
2)( 2
1
Main Grid
Main Grid
Solution
F
Q7
8
1
40
5cos
40
361625cos
452
645cos
2cos
222
222
A
A
A
bc
acbA
Main Grid
Main Grid
Solution
F
Q8
10 15 20 25 30 35 40 45 50 55Number of replies
60
Posted
Handed Out
Medical Questionnaires
You could also draw a back-to-back stem and leaf diagram.
Main Grid
Main Grid
Solution
F
Q9
4 and 1
0)4)(1(
043
3512
)()(
2
2
xx
xx
xx
xxx
xgxf
Main Grid
Main Grid
Solution
F
Q10
35
3233
3239
3227
Main Grid
Main Grid
Solution
F
Q11
2
68
238
y
yy
yy
Main Grid
Main Grid
Solution
F
Q12
129
7
12 9
7
90
70
090
1282
hg
cM
cMhg
Main Grid
Main Grid
Solution
F
Q13
22.0
20.210
80.4168
60.268
20.142
30.134
g
g
gp
gp
gp
gp
16.0
64.04
30.166.04
30.1)22.03(4
p
p
p
p
92.0£44.048.0
)22.02()16.03(23
gp
Main Grid
Main Grid
Solution
F
Q1
3
5
104308.3
0034308.0
1006.1918
Main Grid
Main Grid
Solution
F
Q2
66.127£175.1150
Main Grid
Main Grid
Solution
F
Q3
8.2 .31
766.2 .2661 4
653
4
653
4
653
4
)56(93
22
)724(33
7 3 22
4 0732
2
22
cbaa
acbbxx
Main Grid
Main Grid
Solution
F
Q4
kmt
S
Tst
S
s
T
t
S
o
o
o
9.296105sin
35sin500
sin
sin
sinsin
1054035180 Angle
kmh
h
h
o
o
8.190
40sin9.296
9.29640sin
V
S
296.9km
40°
h
Main Grid
Main Grid
Solution
F
Q5
3
2
2
2
2
2.11652.142913.0
2913.01413.015.0
1413.0
3.03.014.35.05.0
15.025.06.0
length area endVolume
mVolume
mA
m
rA
mA
TOTAL
CIRCLESEMI
RECTANGLE
Main Grid
Main Grid
Solution
F
Q6
2.1m
3.4 - 2.1 = 1.3m
a
x = 2a
mx
ma
3.365.12
65.172.23.11.2
Pythagoras Using
22
m8.03.11.2 Main Grid
Main Grid
Solution
F
Q7
produced. be
can tinskilogram-one 41 Therefore,
67.4160025000
5040020000
Colombian. of 600g and
Brazilian of 400g contains tin One
Main Grid
Main Grid
Solution
F
)4.0,4.156B( )4.0,6.23A(
4.1566.23180 and 6.23
)4.0(sin
4.0sin1
oo
ooo
o
o
x
x
x
Q8
Main Grid
Main GridSolutionF
Q9
minutes 6 Therefore,
33.5
163
276560
276 560
4280 15575 )
)2(280 )
)3(575 )
110)75()325( )
m
m
mm
mcmc
mcmcd
mcc
mcb
pa
Main Grid
Main Grid
Solution
F
Q10
22
r
kvT
r
vT
18.by multiplied isTension
180.59
0.5by divide and 3by Multiply 2
Main Grid
Main Grid
Solution
F
Q11
12
132168421
5n
32)2222(2 322
n
5
)(
Main Grid
Main Grid
Solution
F
Q12 Similar triangles.A
B
P
B1m
1.5m6m
mAPmPBPB
246 45.1
16 so
5.1
1
6
mB
B
height
height
33
162
6
1
again. ianglessimilar tr Using
Main Grid
Main Grid
Solution
F
Q1 BODMAS
2.14.87 15.04 + 1.2
6.24
Main Grid
Main Grid
Solution
F
Q2
28
17
56
34
56
6
56
2856
6
28
14
8
3
4
7
7
2
8
3
4
31
7
2
Main Grid
Main Grid
Solution
F
Q3
166
412126
)13(4)42(3
x
xx
xx
Main Grid
Main Grid
Solution
F
Q4
2
1
24
974
947)(
15)2(
)8(7)2(
)24(7)2(
47)(
t
t
t
ttf
f
f
f
xxf
Main Grid
Main Grid
Solution
F
Q5
)5)(32(
1572 2
xx
xx
Main Grid
Main Grid
Solution
F
Q6
1
55
56
56
532
52
25
10
14
73
k
k
kk
kk
kk
xy
M AB
Main Grid
Main Grid
Solution
F
Q7
£5 isbreakfast one ofCost
5
720915
7251015
24035
14523
b
bn
bn
bn
bn
Main Grid
Main Grid
Solution
F
Q8
40
1
10
1
40
4
Main Grid
Main Grid
Solution
F
Q9
25% of matchboxes contain fewer than 50 matches.
50 is the lower quartile and every quartile contains 25% of the sample.
Main Grid
Main Grid
Solution
F
Q10
pupils 75 75:15:5
teachers9 45:9:3
Main Grid
Main Grid
Solution
F
Q11
12
12
)1(
9
22
22
2
n
nnn
nn
n
Main Grid
Main Grid
Solution
F
Q12
323412
122
122
2
24
46488 33 23
2
Main Grid
Main Grid
Solution
F
Q13
xx
xTD
xxxDBDB
xTD
xDBTD
xx
xxx
32
6
23
6
32
1
3124
1A
1243A
2
2
2
22POCKET
2CLIPBAOARD
Main Grid
Main Grid
Solution
F
Q1
509054.5090006.15000 3
Main Grid
Main Grid
Solution
F
Q2
x x2 41 1681
43 1849
44 1936
47 2209
49 2401
52 2704
276 12780
1.48.16
5
1269612780
166
27612780
1
22
2
s
s
nn
xx
s
466
276mean
There is more variation in the price of milk than there is in the price of sugar.
Main Grid
Main Grid
Solution
F
Q3
kmh
h
h
h
h
Habbaho
o
7.47
2.2276
2.2276
8.11239002500
68cos305023050
cos2
6872140 H Angle
2
2
222
222
Main Grid
Main Grid
Solution
F
Q4
cmr
h
hrV
cmml
cmhrV
6.75.78
600
5514.3
600600
600
600600
1099145514.3
2
2
3
32
Main Grid
Main Grid
Solution
F
Q5
sides. 8 hasPolygon The
5or 8
058
0403
340
3402
320
2
2
nn
nn
nn
nn
nn
nn
Main Grid
Main Grid
Solution
F
Q6 SOH CAH TOA
cmSW
SW
SW
cmSV
SV
SV
o
o
o
o
65.6
25cos33.7
33.725cos
33.7
34sin1.13
1.1334sin
Main Grid
Main Grid
Solution
F
Q7
oB
B
B
B
BacArea
1.37603.0sin
603.063
38sin
sin6338
sin9145.038
sin2
1
1
Main Grid
Main Grid
Solution
F
Q8
8,1at Point Turning
8222
31112
312
1at T.P.symmetry By
2
36
6,0at 30106
31
3 and 1
y
y
xxy
x
k
k
k
xxky
ba
Main Grid
Main Grid
Solution
F
Q9
ml25.101375.330 Volume Large
375.38
27 Factor Scale
27:8
3:2 VolumeFor
3:2 Height For 33
Main Grid
Main Grid
Solution
F
Q10
2
x2 + x
3
mx
x
x
xxx
xx
4
13
4
522 OB So
4
5
54
944
32
Pythagoras Using
22
222
Main Grid
Main Grid
Solution
F
Q11
mphx
x
xx
xxxxxx
x
x
S
DT
6030
2 Speed Average
302 Speed Average
Time Total
Distance Total Speed Average
30150
5
150
32
5075 Time Total
2 Distance Total
75
Main Grid
Main Grid
Solution
F
Q1 BODMAS
77.243.32.6
43.31.153.4
Main Grid
Main Grid
Solution
F
Q2 BODMAS
5
12
10
22
10
22
10
814
5
4
10
14
10
14
2
7
5
2
2
13 of
5
2
Main Grid
Main Grid
Solution
F
Q3
2
1618
432 22
A
A
A
Main Grid
Main Grid
Solution
F
Q4
1
37
1
433
1
413
1
43
mm
m
mm
mm
mm
mm
mm
Main Grid
Main Grid
Solution
F
0 3 6 9 12 15 18 21 24 27 30
Average Monthly Temperature in Holiday Resort
Q5
Temp (ºC)
Main Grid
Main Grid
Solution
F
Q6
g4009
8450
8
9450 :So
8
9
8
11 isjar so
8
1 is %5.12
Main Grid
Main Grid
Solution
F
Q7
.90
1 than chancebetter a is
80
1 because
raffle School in the chancebetter a has He
90
1
1800
20 P(win)
80
1
1200
15 P(win)
Main Grid
Main Grid
Solution
F
Q8
1735
17 :So
17 , , , , ,
532
5 :So
5 , , , ,
yx
xyxxyxyx
xyxxyxyxxyxy
yx
yxyyx
yxyyxyx
4
123
1735
532
x
x
yx
yx
1 and 4 So
1
33
538
5342
yx
y
y
y
y
Main Grid
Main Grid
Solution
F
Q9
.360in curves complete 4 be will therebecause 4
2.- to2 from goesgraph because 2
o
b
a
Main Grid
Main Grid
Solution
F
Q10
The line must have a negative gradient (going down).
The line must cut the y-axis below zero.
y
x
y = –ax – b
Main Grid
Main Grid
Solution
F
Q11
3
11
3
1132
3103523252752
10
Main Grid
Main Grid
Solution
F
Q12
252555
52
10 so
10
10
22
rA
rd
d
dC
Main Grid
Main Grid
Solution
F
Q1
m12
8
1064.8
)60608(103STD
Main Grid
Main Grid
Solution
F
Q2
s453
230t
30t3
2
100t3
2-70
70v therefore litres30 loses container The
100t3
2v
100c 3
2
150
100M cMtv
min
Main Grid
Main Grid
Solution
F
Q3
x x2 49 2401
50 2500
50 2500
51 2601
52 2704
52 2704
53 2809
357 18219
41.12
6
1820718219
177
35718219
1
22
2
s
s
nn
xx
s
517
357mean
Main Grid
Main Grid
Solution
F
Q4
mg1288.0250 3
Main Grid
Main Grid
Solution
F
Q5 Find side a because it is opposite the smaller angle and will therefore be the shortest distance.
ma
a
H
Aha
H
h
A
a
o
o
6.118975sin
50sin1500
sin
sinsinsin
Main Grid
Main Grid
Solution
F
Q6 SOH CAH TOA
mPQ
PQ
o
o
1045tan10
1045tan
mPQPB 202 :So
ooo
oo
o
.
S
PS
PBS
4.1845463 degrees More
4.632tan
210
20tan
1
Main Grid
Main Grid
Solution
F
Q7
cm
Abccba
o
800.3228 length Rod
7.6451 length Rod
7.6451
3.154816006400
76cos408024080length Rod
cos2
222
222
Main Grid
Main Grid
Solution
F
Q8 2000 – 1800 = 200mm
500 – 200 = 300mm
500mm
C
A B
mm
mmAB
AB
AB
BCACAB
8004002 door ofWidth
400160000
160000
300500
Pythagoras Using
2
222
222
Main Grid
Main Grid
Solution
F
Q9
3
2
2
1902875.237 Volume
depth area Volume
75.23755.475 area Total
55.47
72sin10105.0
sin2
1 triangleof Area
725360 centreat Angle
cm
cm
cm
Cab
o
o
Main Grid
Main Grid
Solution
F
Q10
ooo
oo
oo
o
o
o
o
x
x
x
x
x
x
4.311,6.228
4.3116.48360
6.2286.48180
quadrants.4th and 3rdin
be willsolutions so negative isSin
6.4875.0sin angle Related
75.0sin
3sin4
21sin4
1
AS
T C
48.6º48.6º
Main Grid
Main Grid
Solution
F
Q11
m
xx
xx
xx
xx
xx
xxx
xxxx
623 lawn ofLength
2or 3
1
0213
0253
0253
253
33 :Lawn
251123111 :Path
2
2
2
2
Main Grid
Main Grid
Solution
F
Q1
92.036.78 1
3.8 – 0.92
2.88
BODMAS
Main Grid
Main Grid
Solution
F
Q2 BODMAS
30
35
5
7
6
5
5
21 of
6
5
30
105
30
3570
30
35
3
7
30
35
3
12
2
13
6
33
6
21
Main Grid
Main Grid
Solution
F
Q3
10% = 14 so 2.5% = 3.5
12.5% = 14 + 3.5 = £17.50
Main Grid
Main Grid
Solution
F
Q4
Possible outcomes = 36
Possible ways of getting 8 or 9 = 9
4
1
36
9 y Probabilit
Main Grid
Main Grid
Solution
F
Q5
24
8
0-4
6-2- M
C = 6
y = Mx + C
y = -2x + 6
Main Grid
Main Grid
Solution
F
Q6
5
2
52
52
612
x
xx
x
Main Grid
Main Grid
Solution
F
Q7 Speed Frequency Cuml. Frq.
30 1 1
40 4 5
50 9 14
60 14 28
70 38 66
80 47 113
90 51 164
100 32 196
110 4 200
200 cars therefore median between 100th and 101st
So median = 80km/hr Main Grid
Main Grid
Solution
F
Q8
4th term = 52 – 32
nth term = (n + 1)2 – (n – 1)2
= (n2 + 2n +1) – (n2 – 2n + 1)
= n2 + 2n +1 – n2 + 2n – 1
= 4n
Main Grid
Main Grid
Solution
F
Q9
Litres put in car = 3000 ÷ 75 = 40 litres
Litres used = 5 × 3 = 15 litres
Litres remaining = 40 – 15 = 25 litres
Litres used = kt
Litres put in car = c
2000
ktc
R 2000
Main Grid
Main Grid
Solution
F
Q10
5cm
4cm
a345
Pythagoras Using
22 a
5cm 7 – 3 = 4cm
b
345
Pythagoras Using
22 b
Therefore base = 2 × 3 = 6cm Main Grid
Main Grid
Solution
F
Q11
225
2224
2264
22364
2724)72(
f
2
1
4
2
2
2
2
2
4
22
224
2234
2324)(
2
t
t
t
t
t
ttf
Main Grid
Main Grid
Solution
F
Q12
2
13
1or 2
7
0)1(or 0)72(
0)1)(72(
0752
752
7)52(
7)52)(2(2
1
72
1
2
2
x
xx
xx
xx
xx
xx
xx
xx
bhA
Main Grid
Main Grid
Solution
F
Q1
15
882
1024.3
103103106.3
E
E
Main Grid
Main Grid
Solution
F
Q25.79
6
477
6
757971849177
Mean
x x – x (x – x)2
71 -8.5 72.25
75 -4.5 20.25
77 -2.5 6.25
79 -0.5 0.25
84 4.5 20.25
91 11.5 132.25
251.5
09.73.505
5.251
16
5.251
s
Main Grid
Main Grid
Solution
F
Q3
25.187
110sin21195.0
sin2
1
cmArea
Area
PqrArea
o
Main Grid
Main Grid
Solution
F
Q4
2.4 2.2
162.4 162.2 2
402
2
402
2
402-
2
)36(42-
12
)914(22-
9 2 12
4
092
92
2
2
2
2
cbaa
acbb
xx
xx
Main Grid
Main Grid
Solution
F
Q5
Using the converse of Pythagoras if 902 + 602 = 1102 then the triangle is right angled.
902 + 602 = 8100 + 3600 = 11700
1102 = 12100
11700 12100
So the slab is not a right angled triangle.
Main Grid
Main Grid
Solution
F
Q6
12m
5m
20m
h
Using similar triangles:
mh
h
485
12205
20
12
Main Grid
Main Grid
Solution
F
Q7 Angle A = 40°
Angle B = 294 – 270 = 24°
Angle V = 180 – 24 – 40 = 116°
kmv
B
Vbv
B
b
V
v
05.1124sin
116sin5
sin
sinsinsin
0
0
Main Grid
Main Grid
Solution
F
Q8
cmx
xx
xx
xx
xx
xx
xxxxx
62length side
3or 0
0)3(or 08
0)3(8
0248
248
)22(6222
2
2
23
23
Main Grid
Main Grid
Solution
F
Q9Fixed rental = £10
Call charge per minute = gradient
05.060
3
060
1013
gradient
Call charge per minute = £0.05 = 5p
Main Grid
Main Grid
Solution
F
Q10
12.5cm11.5cm
xº
oo
oo
o
x
x
x
23
074.23)92.0(cos
92.05.12
5.11cos
1
mlengtharc
dlengtharc
d
lengtharc
0.10
036.10360
2546
360
46
360
46
Main Grid
Main Grid
Solution
F
Q11
o144.7or 3.35
3
1sin
01sin3
oo
o
o
x
x
x
ooo
ooo
x
x
72.35or 65.17
7.144or 3.352
Main Grid
Main Grid
Solution
F
Q1
1.25 × 40 = 50
56.4 – 50 = 6.4
BODMAS
Main Grid
Main Grid
Solution
F
Q2
35
64
35
146
35
9056
7
18
5
8
7
42
5
31
Main Grid
Main Grid
Solution
F
Q3
4 – (-3)2
= 4 – 9
= -5
Main Grid
Main Grid
Solution
F
Q4
8x3
2y
8c
3
2
6
4
06
812m
Main Grid
Main Grid
Solution
F
Q5
Difference of 2 squares
4x2 – y2 = (2x + y)(2x – y)
3
yx2
yx23
yx2yx2
y3x6
yx4
22
Main Grid
Main Grid
Solution
F
Q6
x – 2(x + 1) = 8
x – 2x – 2 = 8
–x = 10
x = –10
Main Grid
Main Grid
Solution
F
Q7
ml540
2720 8
27160Cup Large of Volume
8
27
2
3Factor Scale Volume
2
3
14
21Factor Scale Length
3
3
Main Grid
Main Grid
Solution
F
Q8
y = (x – 1)2 – 4
Main Grid
Main Grid
Solution
F
Q9
a) x + y = 20
b) 5x + 2y = 79
c) 2x + 2y = 40
5x + 2y = 79
3x = 39
x = 13
Euan won 13 games.Main Grid
Main Grid
Solution
F
Q10
m12h
25300h
300h25
150h252
1
m15015202
1Area 2
Main Grid
Main Grid
Solution
F
Q11 a) C = 3x
b) 20 + 2 × 9 = £38 2(x – 6) + 20
c) 2(x – 6) + 20 < 3x
2x – 12 + 20 < 3x
2x + 8 < 3x
2x – 3x < –8
–x < –8
x > 8 so 9 sessionsMain Grid
F Main Grid
Solution
Q1
c = d
c = 3.14 × 2 × 4.96 × 107
c = 3.11488 × 108 km
Main Grid
F Main Grid
Solution
Q2
1686766s
5
673435234686
166
45434686
s
34686788272867368x
67756
454
6
788272867368x
2
2222222
..
.
.
On average children's pulse rates are faster but there is less variation. Main Grid
F Main Grid
Solution
Q3
324 ÷ 1.05 = £300
Slide 3Main Grid
F Main Grid
Solution
Q4
5
5354
53542 )c
m2m )b
4x11x3
4x12x3x )a
2
5
2
1
2
2
Main Grid
F Main Grid
Solution
Q5
o1o
o
22
31120M
2010
2M
1068MS
..tan
.tan
Main Grid
F
Main Grid
Solution
Q6B° = 74° + 50° = 124°
m30544305b
1693295b
1693295b
162829565000b
1242301102230110b
Bac2cab
2
2
o222
222
.
.
.
.
cos
cos
Main Grid
F Main Grid
Solution
Q7
28 × 18 = 504cm3
cm632770143
504
r
504L
504LrV
22
2
...
Main Grid
F Main Grid
Solution
Q8
2228g10022.28
22.28244.59
cm5944360
18143284Length Arc
..
Main Grid
F Main Grid
Solution
Q9
13n
10n 13n
10n13n )c
0130n3n
130n3n
1303nn
2 653nn2
1 )b
1443.5 )a
2
2
Main Grid
F
Main Grid
Solution
Q10 a) -31 × cos20 + 33 = 3.87m
b) -31cost + 33 = 60
-31cost = 27
cost = 27 ÷ -31 = -0.871
R.A. = cos-1(0.871) = 29.4
so: 180 – 29.4 = 150.6 seconds
c) 180 + 29.4 = 209.4 secondsMain Grid
F
Main Grid
Solution
Q11
AA
M
QP B C8
63
x
x3
44
6
x824PQ
6
x38
AC
AQBCPQ so
AC
AQ
BC
PQ b)
x3 AQ )a
Main Grid
• 2007 paper 1
Solution
Main grid
2007 Paper 1
• Ans :- 80.44
For 20 x 3.72 =74.4 1 mark
For adding 6.04 correctly 1 mark
Main grid
2007 Paper 1
Solution
Main grid
2007 Paper 1
2.
6
13
3
21÷
= 6
19X
5
3 1
2
Remember to
turn fraction
upside down
=
10
19=
10
91
Main grid
2007 Paper1
Solution
Main grid
2007 P1 Q12
4cm
5 cm
Remember
this is a radius By Pythagoras’ Theorem:-
x2 = 52 – 42
x2 = 9
X =3
So d = 5cm – 3cm = 2cm
x
Main grid
solutionMain grid
2007 Paper 1
Main Grid
Main grid
Solution
2007 Paper 1
Q13
Main Grid
a=2 , b=3
F Main Grid
Solution
2007 Paper 1
Q14
Main Grid
F Main Grid
2007 Paper 1
solution
Q5
Main Grid
F Main Grid
Solution
2007 Paper 1
Q7
Main Grid
F Main Grid
Solution
2007 Paper 1
Q9
Main Grid
F Main Grid
Solution
2007 Paper 1
Q10
Main Grid
F Main Grid
Solution
2007 Paper 1
Q6
Main Grid
F Main Grid
Solution
2007 Paper 1
Q11
Main Grid
F Main Grid
Solution
2007 Paper 1
Q4
Main Grid
F Main Grid
Solution
2007 Paper 1
Q3
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q1
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q2
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q3
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q4
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q5
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q6
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q7
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q8
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q9
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q10
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q11
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q 12
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q 13
Main Grid
2007 paper 2
F Main Grid
Solution
2007 paper 2
Q3
Main Grid
2007 paper 2
2008 paper 1
Main Grid
Solution
F
2008 Paper 1
Q1
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q2
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q3
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q4
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q5
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q6
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q7
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q8
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q9
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q10
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q11
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q12
Main Grid
Main Grid
Solution
F
2008 Paper 1
Q13
Main Grid
•2008 Paper 2
Main Grid
Solution
F
2008 Paper 2
Q1
Main Grid
Slide 3Main Grid
Solution
F
2008 Paper 2
Q2
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q3
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q4
Main Grid
Slide 3Main Grid
Solution
F
2008 Paper 2
Q5
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q6
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q7
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q8
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q9
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q10
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q11
Main Grid
Main Grid
Solution
F
2008 Paper 2
Q12
Main Grid
•2009 Paper 1
F Main Grid
Solution
Q1
Main Grid
F Main Grid
Solution
Q2
Main Grid
F Main Grid
Solution
Q3
Main Grid
F Main Grid
Solution
Q4(a),(b)
Main Grid
F Main Grid
Solution
Q4(c)
Main Grid
F Main Grid
Solution
Q5
Main Grid
F Main Grid
Solution
Q6
Main Grid
F Slide 3Main Grid
Solution
Q7
Main Grid
F Main Grid
Solution
Q8
Main Grid
F Slide 3Main Grid
Solution
Q9
Main Grid
F Main Grid
Solution
Q10
Main Grid
F Main Grid
Solution
Q11
Main Grid
F Main Grid
Solution
Q1
Main Grid
F Main Grid
Solution
Q8
Slide 3Main Grid
F Main Grid
Solution
Q11
Main Grid
F Main Grid
Solution
F Main Grid
Q4
F Main Grid
Solution
F Main Grid
Q2
F Main Grid
Solution
F Main Grid
Q9
F Main Grid
Solution
F Main Grid
Q12
F Main Grid
Solution
F Main Grid
Q3
F Main Grid
Solution
F Main Grid
Q10
F Main Grid
Solution
F Main Grid
Q7
F Main Grid
Solution
Q 5
Main Grid
F Main Grid
Solution
Q6
Main Grid
• 2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q1
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 2
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 3
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q4
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 5
Main GridPrevious slide
2010 Paper 12010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 6
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 7
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 8
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 9
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q 10
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 1
Q11
Main GridPrevious slide
2010 Paper 1
F Main Grid
Solution
2010 Paper 2
Q 1
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q 2
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
Q 3
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q 4
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q 8
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q 9
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q10
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q12
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2010 Paper 2
Q13
Main GridPrevious slide
2010 Paper 2
F Main Grid
Solution
2011 Paper 1
Q13
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 1
Main GridPrevious slide
2011 Paper 1
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
(b)
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2
F Main Grid
Solution
2011 Paper 2
Main GridPrevious slide
2011 Paper 2