All AQA Unit 1 Questions Higher
467 minutes
391 marks
Page 1 of 46
Q1.
A book has a front and back cover and 100 pages.
The front and back cover are each 0.8 millimetres thick when measured to one decimal place.
Each page is 0.15 millimetres thick when measured to two decimal places.
Calculate the minimum thickness of the book.
You must show your working.
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Answer ................................................. mm
(Total 5 marks)
Q2.
(a)
What is a census?
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(1)
The table shows the number of each type of staff at three hospitals.
Staff
Hospital A
Hospital B
Hospital C
Doctors
8
15
22
Nurses
26
50
75
Others
46
80
120
Page 2 of 46
(b)
Simon wants to take a stratified sample of size 10 from the staff at hospital A.
Calculate the number of each type of staff that Simon should choose.
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Answer
Doctors .................................................
Nurses .................................................
Others .................................................
(3)
(c)
Tracy wants a stratified sample of size 30 from the doctors in the three hospitals.
Calculate how many doctors Tracy should choose from hospital B.
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Answer .................................................
(2)
(Total 6 marks)
Page 3 of 46
Q3.
The cumulative frequency diagram of the heights of 80 red kangaroos is shown below.
The table below summarises the heights of 80 grey kangaroos.
Grey kangaroos
Lower quartile
Median
Upper quartile
85 cm
105 cm
120 cm
Explain why the heights of the grey kangaroos are more consistent than the heights of the red
kangaroos.
You must show your working.
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(Total 4 marks)
Page 4 of 46
Q4.
The table summarises the travelling time to work of 80 people.
Travelling time, t
(minutes)
Number of
people
0 < t ≤ 10
6
10 < t ≤ 20
17
20 < t ≤ 30
19
30 < t ≤ 40
23
40 < t ≤ 50
15
Calculate an estimate of the mean travelling time.
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Answer ................................................. minutes
(Total 4 marks)
Page 5 of 46
Q5.
The histogram represents the birth weights of 150 babies.
Thirty babies weighed over 4.5 kg
Babies weighing under 2 kg are taken to the Special Care Baby Unit.
Calculate the number of babies taken to the Special Care Baby Unit.
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Answer .................................................
(Total 3 marks)
Page 6 of 46
Q6.
Amy has a bag containing red, green and blue balls.
She wants to know the probability of picking a red ball from the bag.
She picks a ball at random from the bag, records the colour and replaces the ball in the bag.
Amy does this 60 times and calculates the relative frequency of red after every 10 goes.
Her results are shown on the graph.
(a)
Use the graph to calculate the number of times Amy picked a red ball in the first 10 goes.
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Answer .................................................
(2)
(b)
What is the best estimate for the probability of picking a red ball?
Explain your answer.
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(2)
(Total 4 marks)
Page 7 of 46
Q7.
A bag contains 7 mint sweets, 3 fruit sweets and 5 toffee sweets.
Sam chooses two sweets from the bag at random.
Calculate the probability that she chooses one mint sweet and one fruit sweet.
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Answer .................................................
(Total 3 marks)
Q8.
A children’s athletics club has 300 members.
The table shows the number of members in each age group.
Under 11 yrs
11 - 12 yrs
13 - 14 yrs
15 yrs and over
45
78
96
81
Ciaran wants a stratified sample of 25 members.
Calculate the number of members that he should choose from each age group.
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Answer
Under 11 yrs .................................................
11 - 12 yrs .................................................
13 - 14 yrs .................................................
15 yrs and over .................................................
(Total 3 marks)
Page 8 of 46
Q9.
On a day in November 45% of the pupils at a school have flu.
Of the pupils who have flu, 80% are absent from school.
6% of the pupils who do not have flu are absent from school for other reasons.
Work out the percentage of the pupils at the school who are absent on this day.
You must show your working.
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Answer ................................................. %
(Total 4 marks)
Q10.
The number of visitors to a garden centre is recorded for 20 days.
The results are shown in the ordered stem-and-leaf diagram.
Key
(a)
5
5
2
3
6
8
9
6
0
1
2
3
5
7
7
0
3
4
6
8
9
8
1
3
2 represents 52
visitors
8
What was the greatest number of visitors to the garden centre on one day?
Answer .................................................
(1)
Page 9 of 46
(b)
Calculate the median number of visitors to the garden centre.
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Answer .................................................
(2)
(Total 3 marks)
Q11.
Emily drives her car a distance of 310 miles which is correct to 2 significant figures.
Her car uses 50 litres of petrol which is correct to the nearest litre.
Find, in miles per litre, the maximum value for the petrol consumption of her car.
You must show your working.
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Answer ............................................ miles per litre
(Total 4 marks)
Q12.
In 2002 the number of visitors to four tourist attractions is shown in the table.
(a)
Blackpool Pleasure Beach
6.2 million
Edinburgh Castle
1 153 000
Giant’s Causeway
4.07 × 105
Tate Modern
4.6 million
Write the number of visitors to Edinburgh Castle in standard form.
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Answer .................................................
(1)
Page 10 of 46
(b)
Blackpool Pleasure Beach claimed that it had more visitors than the other three
added together.
Is this claim true?
You must show your working.
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(2)
(Total 3 marks)
Q13.
A packet of crisps weighs 34 grams to the nearest gram.
A multipack of crisps contains 10 packets.
Work out the least and greatest weights of the multipack.
(You can ignore the weight of the multipack wrapper.)
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Answer
Least .................................................... grams
Greatest .................................................... grams
(Total 2 marks)
Page 11 of 46
Q14.
A bag contains twelve numbered counters.
The counters are either red or yellow.
The table shows how the counters are coloured and numbered.
Number on counter
10
20
30
40
Red
1
1
2
3
Yellow
2
2
0
1
Colour
For example there are 3 red counters numbered 40.
A counter is taken at random from the bag and is not replaced.
A second counter is then taken at random from the bag.
Calculate the probability that the two counters taken from the bag have different
colours and the total of the two numbers is 50.
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Answer .................................................
(Total 5 marks)
Page 12 of 46
Q15.
The time, in minutes, spent queuing in a post office by each of 100 customers is
summarised by the cumulative frequency diagram below.
Use the cumulative frequency diagram to estimate
(a)
how many customers queued for more than 25 minutes
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Answer .................................................
(2)
(b)
the median queuing time
Answer ................................................. minutes
(1)
(c)
the interquartile range of the queuing times.
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Answer ................................................ minutes
(2)
(Total 5 marks)
Page 13 of 46
Q16.
Bob has just retired.
He often goes into town and sometimes uses the Internet café in the town.
The probability that Bob goes to town on a Wednesday is
The probability that Bob goes to town on a Wednesday and uses the Internet café is
(a)
One Wednesday Bob goes to town.
Calculate the probability that he uses the Internet café.
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Answer .................................................
(2)
(b)
Calculate the probability that Bob does not use the Internet café next Wednesday.
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Answer .................................................
(2)
(Total 4 marks)
Page 14 of 46
Q17.
(a)
Explain how you could obtain a random sample of 50 residents from a village.
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(1)
(b)
The population of a town is 61 500.
The table below shows the population of the town by age group.
Age group
Under 18
18 to 35
36 to 65
Over 65
Population
12 100
25 300
16 600
7 500
Calculate the number from each age group that would be needed for a stratified sample
of size 1000.
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Answer
Under 18
18 to 35
36 to 65
Over 65
(3)
(Total 4 marks)
Page 15 of 46
Q18.
(a)
The numbers in this calculation are given to 3 significant figures.
Find the least possible value of
You must show all your working.
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Answer .................................................
(3)
(b)
The maximum safe load of a lift is 1500 kg, to the nearest 50 kg.
The lift is loaded with boxes weighing 141 kg and 150 kg, both weights given to the nearest
kilogram.
Can the lift safely carry 3 boxes weighing 141 kg each and 7 boxes weighing 150 kg each?
You must show all your working.
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(3)
(Total 6 marks)
Page 16 of 46
Q19.
The population of France is 5.83 × 107 people.
The area of France is 5.47 × 105 square kilometres.
Mean number of people =
Calculate the mean number of people per square kilometre in France.
Give your answer to a suitable degree of accuracy.
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Answer .................................................
(Total 3 marks)
Q20.
In Portugal, Brian spends €2.80 on ice cream.
This price includes VAT which is 12% in Portugal.
Find the amount of VAT which Brian paid.
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Answer € .................................................
(Total 3 marks)
Page 17 of 46
Q21.
Philip and Abdul run in different races.
The probability that Philip wins his race is 0.7
The probability that Abdul wins his race is 0.6
(a)
Fill in the missing probabilities on the tree diagram.
(1)
(b)
Calculate the probability that only one of the boys wins his race.
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Answer .................................................
(3)
(Total 4 marks)
Page 18 of 46
Q22.
A group of 80 trainee secretaries have their typing speeds tested. The table shows their
results in words per minute (wpm).
(a)
Speed, s (wpm)
Number of typists
Speed, s (wpm)
20 ≤ s < 30
8
< 30
30 ≤ s < 40
30
< 40
40 ≤ s < 50
24
< 50
50 ≤ s < 60
13
< 60
60 ≤ s < 70
5
< 70
(i)
Cumulative frequency
Complete the cumulative frequency column in the table.
(1)
(ii)
Draw a cumulative frequency diagram on the grid below.
(3)
Page 19 of 46
(b)
Use your diagram to estimate the interquartile range.
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Answer .................................................. wpm
(2)
(Total 6 marks)
Q23.
A manager recorded the number of customers that entered his supermarket each hour
over five days in June.
The table shows a summary of his results.
Number of Customers
Minimum
8
Lower quartile
23
Median
25
Upper quartile
33
Maximum
42
Draw a box plot to show these results.
(Total 3 marks)
Page 20 of 46
Q24.
The table shows the age, in years, of workers in a factory.
Age, x (years)
Number of workers
15 ≤ x < 20
4
20 ≤ x < 25
10
25 ≤ x < 30
6
30 ≤ x < 40
22
40 ≤ x < 60
8
Calculate an estimate of the mean age of these workers.
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Answer ................................................. years
(Total 4 marks)
Page 21 of 46
Q25.
Arnie saw a camera priced at £250 in London.
He saw the same camera priced at $297.50 in New York.
This is a 30% saving on the London price.
How many dollars are there to the pound?
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Answer £1 = $ .................................................
(Total 3 marks)
Q26.
(a)
What is 12% of £249.99?
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Answer £.................................................
(2)
Page 22 of 46
(b)
What is the normal price of the garden seat?
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Answer £.................................................
(3)
(Total 5 marks)
Q27.
The table shows the consumption of water per person on average each day during various
years.
Year
Consumption (litres)
(a)
1960
1976
2004
110
150
2021
A 26% increase in consumption is predicted from 2004 to 2021.
Calculate the predicted consumption in 2021.
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Answer ............................................... litres
(3)
(b)
Calculate the percentage increase in consumption from 1976 to 2004.
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Answer .................................................
(3)
Page 23 of 46
(c)
The consumption in 1976 was 20% more than the consumption in 1960.
Calculate the consumption in 1960.
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Answer ............................................... litres
(3)
(Total 9 marks)
Q28.
The pie charts show the age distribution in two villages A and B.
The population of the villages is proportional to the area of the pie charts.
There are 660 people over 65 in village A.
Village A
Village B
Drawn to scale
Page 24 of 46
How many people are over 65 in village B?
Show clearly any measurements or assumptions that you make.
Show your method clearly.
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Answer .................................................
(Total 5 marks)
Q29.
John has £2000 to invest.
He sees this advert.
Page 25 of 46
Will John double his money in ten years with SureFire Investments?
You must show your working.
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(Total 4 marks)
Q30.
John has £2000 to invest.
He sees this advert.
Page 26 of 46
Will John double his money in ten years with SureFire Investments?
You must show your working.
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(Total 4 marks)
Page 27 of 46
M1.
0.75
B1
0.145
B1
their min cover × 2 or
their min page × 100
1.5 or 14.5 if correct
Must have attempted one minimum
M1
their min cover × 2 +
their min page × 100
Must have attempted two minimums
M1 dep
16
A1
[5]
M2.
(a)
A census surveys the whole population
Survey by everyone
B1
(b)
Any one correct method seen
M1
1, 3, 6
Correct decimals or fractions only get A1
A2
(c)
M1
10
A1
[6]
Page 28 of 46
M3.
Locating quartiles from graph
eg Lines on graph including to
h axis OR 110 and 160 seen
M1
(Red kangaroos IQR =) 50 cm
A1
(Grey kangaroos IQR =) 35 cm
B1
IQR red > IQR grey
oe
B1
[4]
M4.
4 or 5 correct midpoints seen
or implied
M1
at least two products with intention to sum
Accept incorrect midpoints but must be within
classes including boundaries
Note: Not class widths throughout
Note: 1840 or 2640
M1
M1
4 or 5 “correct” products summed with intention to divide by 80
dep on 2nd M1
or
M2
M1 dep
28
A1
[4]
Page 29 of 46
M5.
1 sq cm = 5 babies
150 little squares = 30
M1
or
M1
20
20
A1
[3]
M6.
(a)
0.5 × 10
oe
M1
5
no working
M0A0
A1
(b)
0.45
B1
Larger sample, 60 goes/the last one
B1
[4]
Page 30 of 46
M7.
or
0.466 × 0.214 or 0.2 × 0.5
M1
or
Adding the two correct products
M1 dep
or
oe 0.2
SC1
A1
[3]
M8.
One correct method seen
M1
4, 6, 8, 7 or 3, 7, 8, 7 or 4, 7, 8, 6
A1 for 3.75, 6.5, 8, 6.75
or 4, 7, 8, 7
A2
[3]
M9.
0.45 × 0.8(0) (= 0.36) or
0.45 × 80 (= 36) or
0.8(0) × 45 (= 36)
Chooses number of pupils eg, 100
0.45 × (100) = (45)
0.8(0) × (45) = (36)
M1
0.55 × 0.06 (= 0.033) or
0.55 × 6 (= 3.3) or
0.06 × 55 (= 3.3)
0.55 × (100) = (55)
0.06 × (55) = (3.3)
M1
Page 31 of 46
(0.36) + (0.033) or
(36) + (3.3)
(36) + (3.3)
Dependent on M2 in all methods
M1 dep
39.3
SC2 Answer 3930
A1
[4]
M10.
(a)
83
B1
(b)
= 10.5th value
Locating 65 and 67 or locating 5 and 7 or 5/7 on diagram
M1
66
A1
[3]
M11.
315
(Allow 314.999…)
Ignore 305 if seen as well
B1
49.5
Ignore 50.5 if seen as well
B1
if correct
M1
Page 32 of 46
6.3636363636…
Allow 6.3, 6.4, 6.363, 6.36, 6.364 etc provided there
is evidence to support these answers
(B2 M1 awarded)
Always check the working
eg
= 6.36 (2 dp)
scoring B0B1M1A0
A1
[4]
M12.
(a)
1.153 × 106
Allow 1.153000 × 106
B1
(b)
Attempt to add 1 153 000, 4.07 × 105 and 4.6 million
Numbers all in same form with at least two correct
M1
6 160 000 (oe) and Yes
Must have both
A1
[3]
M13.
Sight of 33.5 or 34.5
Allow 34.49 ... for 34.5
0.5 × 10 gets M1
M1
335 g and 345 g
Allow 344.9 ... for 345
Need both answers
SC1 One correct answer
A1
[2]
Page 33 of 46
M14.
× ... or
× ... or
× ...
Any first probability multiplied by some other probability seen
M1
×
or
or
×
×
Any correct product of two probabilities
M1
×2
All correct products doubled
(may come later)
M1
+
+
Adding exactly 3 (or 6) correct products
M1
=
oe 0.16, 0.17, 16% or 17% from correct method
SC3 for question with replacement fully correct
A1
[5]
M15.
(a) 100 – “their attempt at reading at 25”
Allow misread of scale
100 – 88, 84 – 100, 89 – 100, 84, 89
88 – 100 OK
M1
12
A1
(b)
14
Allow a value of 13.5 to 14.5 inclusive
B1
Page 34 of 46
(c)
Locating and subtracting the quartiles
“19” – “10”
(allow ±
square on each reading)
M1
8 to 10
Depends on correct M mark if seen
A1
[5]
M16.
(a)
×p=
Correct equation seen in any form
M1
p=
oe 0.58, 58% not 0.6 or 60%
A1
(b)
1–
or
+[
× (1 – their (a))]
M1
=
oe
, 0.65, 65%
A1
Page 35 of 46
For (b) Note incorrect method leading to correct answer
cafe
not cafe
T
NT
café
not cafe
+
=
+
=
=
[4]
M17.
(a)
Any suitable random method
Number all population and draw numbers (names) from
hat/random number tables/raffle, use random numbers
B1
Page 36 of 46
(b)
Correct method seen
eg
× 1000
Can be implied by any correct value
M1
Any two correct answers
Accept decimals here also
196.7... 411.3...
269.9... 121.9...
1 dp rounded or truncated
A1
All four correct answers
197, 411, 270, 122
Must be integers
Use of 100
misread M1 only if seen or
follows scheme with 2 correct decimals or integers
A1
[4]
M18.
(a)
if correct
Their min 12.3 must be > 12.2
Their max 15.6 must be < 15.7
Their min 7.20 must be > 7.19
M1
Any 1 correct limit
M1
1.448846...
1.45 1.449 1.4488 etc
A1
Page 37 of 46
(b)
3 × their max 141 + 7 × their max 150
3 × 141.5 + 7 × 150.5 = 1478 if correct
Their max 141 must be < 142
Their max 150 must be < 151
M1
Lower bound lift load = 1475
B1
So this load cannot be safely carried
Only award if fully correct: both 1475 and 1478 seen
A1
[6]
5.83 × 107 ÷ (5.47 × 105)
Condone invisible brackets
Allow if not in standard form and at
least one correct or both 2 zeros out
(5.83 × 7) ÷ (5.47 × 5) M0
40.81 ÷ 27.35
M0
M19.
M1
106.58...
A1
110 or 107
ft to 2 sf or 3 sf
Allow 106.6 but no ft to 4 sf
B1 ft
[3]
M20.
2.80 = 1.12 of pre-VAT price or 112%
or
(= 2.5)
M1
M1
VAT =
×
2.80
VAT = 2.80 – (their 2.50)
M1
M1
=
0.30
=
0.30 or
0.3
A1
A1
[3]
Page 38 of 46
M21.
(a)
All 3 missing probabilities correctly filled in
B1
(b)
0.7 × 0.4 or 0.6 × 0.3
ft from unambiguous tree diagram except if 0.5 used
Either seen in (b) or 0.28 or 0.18
M1
“0.28” + “0.18”
Adding the 2 “correct” products
If no working in (b) answer can follow tree diagram if fully correct to
answer in (b) => M1 M1
* Working in (b) can be ft from incorrect tree diagram as long as it
is not ambiguous (=> M1M1A0)
M1
= 0.46
A1
[4]
M22.
(a)
(i)
8, 38, 62, 75, 80
Rest of question must be from an increasing
cumulative frequency diagram (not linear)
B1
(ii)
Upper class boundaries used
±
square
B1
Their correct heights
±
square
Ignore (20, 0)
Ignore curve before (30, 8)
B1 ft
Straight lines or smooth curve connecting points
±
square
Ignore curve before (30, 8)
B1
Page 39 of 46
(b)
Locating and subtracting quartiles ie “49” – “35”
If no working check graph
From 60, 20 or their quartiles
eg 17.5, 52.5 or
methods
M1
= “14”
A1 ft
[5]
M23.
Median at 25
X or small mark in a box ±
sq
B1
Quartiles at 23 and 33 and box
±
sq
B1
Whiskers to 8 and 42
±
sq
B1
[3]
M24.
Any one correct mid-point seen and used
ie 17.5, 22.5, 27.5, 35 or 50
Used in fx (not just added)
ie 70, 225, 165, ...
* Look out for 17, 23, 27 used
(35, 50) leading to correct answer
=> M3 A0
M1
∑fx
fx for their x in class or on boundary, at least 2 products summed
M1
1630 ÷ 50
Dep on 2nd M1
“Their” ∑fx divided by “their” 50
M1 dep
= 32.6
Accept 32 or 33 from fully correct method
A1
[4]
Page 40 of 46
M25.
oe 297.5 ÷ 0.7 (= 425)
M1
297.5 ÷ 175 (1.7)
425 ÷ 250
M1
1.7 (0)
A1
[3]
M26.
(a)
or
249.99 × 0.12 or 249.99 × 0.88
249.99 – 0.12 × 249.99 or 219.99
M1
30(.00) or 29.99
219.99 after 30 seen is non-contradictory fw
–1 for incorrect money notation
A1
(b)
Sight of 0.12
12% = 15
M1
B1
15 ÷ 0.12
(1%) = 15 ÷ 12 (= 1.25)
M1
125(.00)
–1 for incorrect money notation
Penalise for further contradictory working
eg, 125 + 15 = 140
A1
[5]
Page 41 of 46
M27.
(a)
39
M1
150 + Their 39
M2 for 1.26 × 150
M1 dep
189
190 is A0
A1
(b)
40
150 – 110
B1
is M0
unless 1 or 100% subtracted, then it is M2
M1
36.4, 36.36...
36 if M1 awarded
36 from T & I is M0
A1
(c)
120% = 110
110 ÷ 1.2 is M2
M1
1% = 0.9166...
A1
T & I must get 91.6 to 91.7
Beware
110 - 18.18 = 92 M0
A1
[9]
Page 42 of 46
M28.
Radius A = 1.5cm
Radius B = 2.5 cm
These must be clearly stated or implied
(eg 2.25π, 6.25π) at some stage in solution.
NB Scale factor such as 0.6, 1.66,
NB Check pie charts for these.
implies B1
B1
1980 (population A)
B1
6.25(π) ÷ 2.25(π)
M1 for attempt to ‘compare’ areas.
eg 25:9, 2.777…
M1
5500 population in B
Allow 5450 – 5550
A1
1375
A1
Alt.
Radius A = 1.5cm
Radius B = 2.5cm
These must be clearly stated or implied
(eg 2.25π, 6.25π) at some stage in solution.
NB Scale factor such as 0.6, 1.66,
NB Check pie charts for these.
implies B1
Compares a population to an area for village A
eg 660 ≡ (=) 2.35619449.. 660 ÷
× 2.25π
1980:2.25π
M1
Finds a value for person per area or area per person
275 – 285 people per cm2
3.5 – 3.6 × 10–3cm 2 per person
A1
Calculates area of quadrant in B and either multiplies or
divides by appropriate value
M1
1375
A1
[5]
Page 43 of 46
M29.
Sight of 1.072
7.2% of 2000 = 144
B1
(2000) × ‘their 1.072’10
Their 1.072 must be 1.72 or 1.0072
Calculating at least 5 intermediate values correctly
2144, 2298.37 (368), 2463.85(0496), 2641.25 (.247732), 2831.42
(.417568) M1
All 10 correct A1
3035.28(.279633), 3253.82(.819767),
3488.09 (.09479), 3739.24(.237615)
4008.46(.462723)
No penalty for rounding or truncating to nearest pound or 1 decimal
place.
Truncated values 2144, 2298, 2463, 2640, 2830, 3033, 3251, 3485,
3735, 4004 (4003.82)
Rounded values 2144, 2298, 2463, 2640, 2830, 3034, 3252, 3486,
3737, 4006 (4006.06)
No penalty for incorrect money notation
eg 4008.5 > 2 × 2000
M1 A1
Yes 4008.(46) or 2.004(2..)
ft if only one error made and relevant conclusion drawn.
Accept 1.07210 > 2 for 3/4 marks
NB student who takes 2000 as year 1 gets
to 3739 for year 10 and says ‘no’ 2/4
SC 2000 × 1.0729 2/4 marks (B1, M1)
A1 ft
[4]
Page 44 of 46
M30.
Sight of 1.072
7.2% of 2000 = 144
B1
(2000) × ‘their 1.072’10
Their 1.072 must be 1.72 or 1.0072
Calculating at least 5 intermediate values correctly
2144, 2298.37 (368), 2463.85(0496), 2641.25 (.247732), 2831.42
(.417568) M1
All 10 correct A1
3035.28(.279633), 3253.82(.819767),
3488.09 (.09479), 3739.24(.237615)
4008.46(.462723)
No penalty for rounding or truncating to nearest pound or 1 decimal
place.
Truncated values 2144, 2298, 2463, 2640, 2830, 3033, 3251, 3485,
3735, 4004 (4003.82)
Rounded values 2144, 2298, 2463, 2640, 2830, 3034, 3252, 3486,
3737, 4006 (4006.06)
No penalty for incorrect money notation
eg 4008.5 > 2 × 2000
M1 A1
Yes 4008.(46) or 2.004(2..)
ft if only one error made and relevant conclusion drawn.
Accept 1.07210 > 2 for 3/4 marks
NB student who takes 2000 as year 1 gets
to 3739 for year 10 and says ‘no’ 2/4
SC 2000 × 1.0729 2/4 marks (B1, M1)
A1 ft
[4]
Page 45 of 46
Page 46 of 46