文档内容
Elements Numerical
材料1
第一组 12题 简答题
1.What time will Catherine arrive in Runcorn if she leaves her house at 7:45,drives
25 minutes to Euston station,and takes the first available train?
9:24
9:40
10:30
10:43
11:00
11:05
11:32
12:35
13:00
13:32
14:00
14:50
15:59
16;00
17:2419:10
19:24
答案解析：The correct answer is 1 1:32.
If it takes Catherine 25 minutes to get to Euston station, and she leaves her
house at 7:45, she will arrive at the station at 8:10.The next train from Euston to
Runcorn is at 9:00.
Catherine will arrive at Runcorn station at 11:32.
Note:Pay attention to the wording of the question.The question asks for the first
train Catherine can take from Euston station, not from Runcorn station.
2.What time will Michael arrive in Stafford if he finishes his meeting in Manchester
at 11:00 and has to walk a further 25 minutes to the station?
10:23
10:35
11:12
11:15
12:23
12:35
13:07
13:48
14:03
14:40
15:15
15:23
16:55
17:15
18:46
答案解析：The correct answer is 14:40.
If Michael's meeting finishes at 1 1:00,and walking time is 25 minutes, he will get
to the Manchester station at 11:25.The next train to Stafford is at 14:03,which
arrives at the destination at 14:40.
3.Brandi has an 11:45 meeting at an office which is a 10- minute taxi ride from the
station in Runcorn.What is the latest train she can take from her hometown of
Stoke- on-Trent?
9:35
9:45
9:55
10:05
10:15
10:25
10:35
10:45
10:5511:05
11:15
11:25
11:35
11:45
答案解析：The correct answer is 10:35.
Brandi's meeting is at 11:45 in an office which is a 10-minute drive from the
Runcorn station.She has to arrive at the station no later than 11:35.Brandi is
interested in taking the latest train from her hometown, Stoke-on-Trent.The
latest train she can take is the 10:35 from Stoke-on-Trent that arrives at Runcorn
at 11:00, on time for her meeting.
Note:Although the train that arrives to Runcorn at 11:32 would leave sufficient
time for her to get to the meeting on time, the later train, the 9:07 from Euston
arriving in Stoke-on-Trent at 10:35,allows her to leave later.
4.How many more or less employed graduates were there in 1990 than in 2000?
答案解析：The correct answer is more,by 485.
To determine how many more or less employed graduates there were in 1990
than in 2000,you should calculate the number of graduates employed in both
2000 and 1990 and subtract the figures.
The number of employed in 1990 = Private + State = 1,475+1,610= 3,085.
The number of employed in 2000 = Private + State = 1,250+ 1,350= 2,600.
As you can see, there were more employed graduates in 1990 than in 2000.
The difference in the number of employed in 1990 and 2000 = 3,085- 2,600 =485.
5.What proportion of the unemployed graduates in 2000 studied in private universities?
(rounded to 2 d.p)
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.550.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
答案解析：The correct answer is 0.45.
Proportion is a fraction of a whole.
To find the proportion of the unemployed graduates in 2000 who studied in
private universities, you should determine the number of unemployed 2000
graduates of private universities and divide by the total number of unemployed
graduates in 2000.
The total number of unemployed graduates in 2000= 125+150= 275.
The proportion of unemployed graduates who studied in private universities is
=0.45
6.Which group of graduates had the highest unemployment rate?
1990, private
1990,state
2000, private
2000,state
The correct answer is( )
答案解析：The correct answer is 2000,state.
The unemployment rate for each category is measured by calculating the
proportion of unemployed students from the total number of students in each
category.The greater the proportion, the higher the unemployment rate.7.How many people travelled less than 16 KM during the daytime in 2005?
400,000
410,000
420,000
430,000
440,000
450,000
460,000
470,000
480,000
490,000
500,000
510,000
520,000
530,000
540,000
550,000
560,000
570,000
580,000
590,000
答案解析：The correct answer is 490,00o.
Only the AG&AC trains have routes less than 16 KM long.During the daytime in .
2005,there were(225,000十265.000)490,000 passengers travelling on both
lines.
The answer is 490,000.
8.In which of the train lines was the difference between the number of day and
nighttime passengers the smallest in 2005?
AG line
AC lineCD line
RF line
DT line
PE line
PR line
ZA line
答案解析：The correct answer is the AC line.
You must compare the differences between train line routes in the two 2005
columns (Day column and Night column)_
AG line has a difference of(225- 181)= 44
AC line has a difference of(265- 245)= 20
CD line has a difference of (425-311)= 114
RF line has a difference of (487 - 317)= 170
DT line has a difference of (587 - 385)= 202
PE line has a difference of(6o1 -405)- 196
PR line has a difference of(705- 417)= 288
ZA line has a difference of (706- 425)= 281
The smallest number difference between day and nighttime passengers in 2005 is in line AC.
Solving tip: once you've calculated the differences between the top two and found a difference
of 20,you can see by eye that the rest of the lines have a far greater difference and it's not
worth calculating.
9.By what percentage did the use of the daytime PE line increase between 1930 and
2005?
350%
360%
370%
380%
390%
400%
410%
420%
430%
440%
450%
460%
470%
480%
490%
500%
510%
520%
530%
540%550%
560%
570%
580%
590%
600%
610%
答案解析：The percent of passengers travelling in 2005 on the daytime PE line in
comparison
to 1930 is:
*100%=541.4%
The increase in number of passengers is the difference between the two dates =
541.4%- 100%= 441.1%≈ 440%.
Alternatively, you can find the percent change by dividing the difference of
daytime passengers between 1930 and 2005 by the number of 1930 daytime
passengers,and then multiplying by 100 to convert to percentages.
Percentage Change= *100%
Percentage Change= *100%=441.1%≈440%
10.In the first half of the year,what was the total cost of buying 450 HPQ shares at
their highest price and a fith as many DELL shares at their lowest price?
12,250
12,260
12,270
12,280
12,290
12,300
12,310
12,320
12,330
12,340
12,35012,360
12,370
12,380
12,390
12,400
12,410
12,420
12,430
12,440
12,450
12,460
12,470
12,480
12,490
12,500
12,510
答案解析：The correct answer is 12,330.
To solve this question, you should find the total price of buying 450 HPQ at their
highest price as well as the total price of buying a fifth as many DELL shares at
their lowest price.
The highest price of HPQ shares between Jan--Jun is 25.
Thus,the cost of 450 HPQ shares at their highest price is:450x25= 11,250.
Explanation
The lowest price of DELL shares between Jan--Junis 12.
To calculate a fifth of 450, divide by 5: 450÷5= 90 shares.
Thus, the cost of 90 DELL shares at their lowest price is: 90 x 12= 1,080.
The total cost: 11,250+ 1,080= 12,330.
11.In the second half of the year, for which company is the dividend valued at over
1% of the mean value of the share's price?
Mean Value =
None
APPL
HPQ
MSFT
DELL
APPL and HPQ
APPL and MSFT
APPL and DELL
HPQ and MSFT
HPQ and DELL
MSTF and DELL
APPL，HPQ and MSFTAPPL，MSFT and DELL
MSFT，DELL and HPQ
DELL，HPQ and MSFT
APPL，HPQ and DELL
APPL，HPQ，MSFT and DELL
答案解析：The correct answer is none.
There are a couple of 'traps' in this question.
First of all, you must pay attention to the currency units and realise that the
dividend is given in pennies and not pounds.
Secondly,you must not confuse 1% with 0.1%.
Explanation
Once you have figured these traps out, it is quite clear from the table that no
company offers a dividend worth more than 1% of the mean value of Jul-Dec's
price, as all share prices are greater by more than 100 times the dividend.
If you did not arrive at this realisation,you may also arrive at the correct answer
by calculating the mean values and comparing them to the dividends.However,
this will probably take more time.
There are three calculation steps:
a.Convert dividend from pennies to pounds tor Jul-Dec.
APPL： =0.63
MSFT： =0.04
HPQ： =0.025
DELL： =0.03
b.Calculate the mean values of the share price of each company for Jul-Dec.
APPL： =581.5
MSFT： =29.5
HPQ： =19
DELL： =9
12.If you sold 10,000 HPQ stocks in the first half of the year at their highest price,
after collecting the dividend for these months once, how many APPL stocks
could you buy with the proceeds in the second half of the year at their lowest price?
420
422
424
426428
430
432
434
436
438
440
442
444
446
448
450
452
454
456
458
460
462
464
466
468
答案解析：The correct answer is 432.
First, calculate the profits:
10,000 HPQ stocks sold in the first half of the year at their higher price (25) are
worth:
25× 10,000= E250,0oo.
Total dividends of the first half of the year are worth: 10,000 x2.1= 21,000
pence.Divided by 100= 210.
Total profits:250,000+210= 250,210
Lowest Price of APPL stock in July-Dec is: 579
Number of APPL stocks that could be bought in Jul-Aug:
=432
材料2第二组 12题 简答题
1.What is the first available flight to Sydney from London after 5:00 pm?
17:00
17:15
17:30
17:45
18:00
18;15
18:30
18:45
19:00
19:15
19:30
19;45
20:00
20:15
20:30
20:45
21:00
21:30
21:45
22:00
22:15
22:30
答案解析：The correct answer is 17:30.
Flights to Sydney leave from Heathrow at 06:00,12:00,18:00, and 24:00.
Therefore, the earliest flight after 5pm (17:00) from Heathrow is at 18:00.
Flights to Sydney from Gatwick leave at 10:00,12:30, and at intervals of 2.30
hours until 22:30.Therefore, the additional flights are at 15:00,17:30, and 20:00,
so the first flight after 17:00 from Gatwickis at 17:30.
The first available flight after 17:00 from London is the 17:30(5:30 pm) flight fromGatwick.
2.What time will it be in Sydney,Australia when the first morning flight out of London
arrives?
9:00+ 1 day
10:00 + 1 day
11:00 + 1 day
12:00+ 1 day
13:00 + 1 day
14:00 + 1 day
15:00 + 1 day
16:00 + 1 day
17:00+ 1 day
18:00+ 1 day
19:00 + 1 day
20:00 + 1 day
21:00+ 1 day
22:00+ 1 day
23:00 + 1 day
答案解析：The correct answer is 18:00+1 day. .
The first flight to leave London in the morning is the 06:00 from Heathrow.The
flight duration is 26 hours, which means the flight arrives at 08:00 GMT the
following day.Since Sydney time is GMT+10, local time will be 18:00 of the next
day.
3.Which flight would you have to catch from London to reach Sydney on the same day?
No flight
4:00 from Gatwick
4:45 from Heathrow
6:00 from Heathrow
9:30 from Gatwick
10:00 from Gatwick
13:45 from Gatwick
15:00 from Gatwick
18:00 from Heathrow
18:15 from Heathrow
20:30 from Gatwick
22:30 from Gatwick
22:45 from Heathrow
24:00 from Heathrow
答案解析：The correct answer is no flight.
Since the time difference between the countries is 10 hours, and because the
flight time is 26 hours, there is no possibility of reaching Australia the same day.4.What is the ratio of the number of students who visit the Louvre Museum to the
number of adults who visit Madame Tussauds (approximately)?
97:143
99 : 153
101 :159
103 : 171
104: 143
105 :169
106 :153
109 : 167
111:173
115:168
143:97
153 : 106
159 : 101
167 :109
169 : 105
171:103
173 : 111
答案解析：The correct answer is 105:169.
Students who visit the Louvre:45% out of 4,200:
0.45x4200= 1,890.
Adults who visit Madam Tussauds: 78% out of 3,900:
0.78x3900 = 3.042.
The ratio is: 1,890: 3,042.
Since this is not one of the possible answer options, you must divide this ratio by
a common factor.The numbers are divisible by 9 because the digits of each
number add up to a number divisible by 9.
210:338
This ratio can be divided again by 2 to arrive at the correct answer:
105:169(In other words, the highest common factor is 18.)
Solving tip: If you are struggling with finding the common factor, use this tip:
Division by 2- The numbers are even.
Division by 3-The digits add up to a number divisible by 3.
Division by 4-The final two digits are not divisible by 4.
Division by 6-The numbers divide by both 2 and 3 without a remainder.
Division by 8- The final three digits of the numbers are divisible by 8.
Division by 9 - The digits add up to a number divisible by 9.
5.What is the third least expensive ticket (not including special prices)?
Guggenheim, student
Guggenheim,Adult
Guggenheim,Senior
Louvre, Student
Louvre,Adult
Louvre,Adult
Madam Tussauds,Student
Madam Tussauds,Adult
Madam Tussauds,Senior
答案解析：The correct answer is Guggenheim,Senior.
To answer this question, you must convert all ticket prices to the same currency
(GBP):
Since Madam Tussauds has the three most expensive tickets,you can disregard
that column.Between the Louvre and the Guggenheim, it is apparent that the
third least expensive ticket is a Senior ticket to the Guggenheim.
6.How much did a family visiting the Louvre spend (in ) if it consisted of three
adults, two students and one senior,and if two of the adults and one of the
students bought their tickets online? (closest to 1 d.p)
59.00
59.10
59.20
59.30
59.50
59.60
59.7059.80
59.90
60.10
60.20
60.30
60.40
60.50
60.60
60.80
60.90
答案解析：The correct answer is 59.10.,
A student ticket to the Louvre costsE14.
There were two students in the family, and one of them bought his ticket online
(saving 20%):(14+E14x0.8=E25.20..
An adult ticket to the Louvre costs (16.,
There were three adults in the family,and two of them bought their tickets online
(saving 20%):E16+E16x0.8+∈16x0.8= 641.60.
A senior ticket to the Louvre costs 611.There was one senior in the family.
Total cost to the Louvre:77.80.
Notice that the question asks you to calculate the total cost in GBP.Therefore,
677,80 x0.76= E59.13.
The total cost is E59.10(closest to 1 d.p)
Note:Alternatively,the question can be solved directly in pounds,using the
values in the last question.
7.Which offence generated the second highest revenue for the month of May?
Drunk-driving
Speeding
Failure to stop at a stop sign
Not wearing a seatbelt
Driving in a dangerous mannerUsing a mobile phone
Failing to comply with traffic light signals
Stopping in a prohibited area
答案解析：The correct answer is speeding.
ln order to save time,and to prevent unnecessary calculations, it is
recommended o identify the most popular fines in the table for each type of fine
(A，B,C).
Furthermore,since all fine types are percentages of the same total number of
tickets(27.5 million),you can eliminate that part of the calculation to more
quickly determine which fines generated the most revenue:
Type A: Speeding: 0.12x 300= 36
Driving dangerously: 0.1 X300= 30
Type B: Seatbelt: 0.2 x200= 40
Using a mobile phone: 0.16x 200= 32
Notice that there is no need to calculate the most popular type C fine (stopping in
a prohibited area) since the percentage (20%) is equal to the type B most popular
fine (seatbelt) and the fine is the lowest for this type (100).As you can see, it
cannot be the correct answer considering there are more than two offences with
higher fines.
The offence that generated the second highest revenue for the month of May is
speeding.
8.What was the average fine amount for the month of April across all traffic offences?
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
答案解析：The correct answer is 207.This question requires calculating a weighted average.This can be done in a few
steps:
1.Sum up the percentage of offences (for the month of April) for each type of
offence:
Type A:15%+9%+7%=31%.
Type B:13%+13%+19%=45%
Type C:2%+22%=24%
2.Multiply each percentage by the amount of the fine:
Type A: 31%x 300= 93
Type B:45%x200=90
Type C: 24%x100=24
3.Sum up the amounts of each fine to arrive at the weighted average amount of
fines:
93+90+24=207
Alternatively, after the first step,you can multiply the percentages of each type by
25 million (the number of tickets in April)to get the number of tickets received in
this month for this type of offence.
Type A:0.31x 25=7.75 million
Type B:0.45x 25= 11.25 million
Type C:0.24×25= 6 million
Then, multiply the number of tickets, which was calculated before, by the fine for
each type:
Type A: 7.75x300= 2,325 million
Type B: 11.25x 200= 2,250 million
Type C: 6x100 = 600 million
To find the average fine, sum up the number of tickets and divide by the total
amount of tickets:
=207
Note:For simplifying reasons, it is recommended to do the calculations in the
smallest units possible, as shown in this explanation.In the last step, the millions
cancel down.
9.How many reports, on average, did each speeding driver receive, if the
total number of drivers who received such a report in May was 1,250,000?
(closest to 1 d.p)
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.42.6
2.8
3
3.2
3.4
3.6
3.8
4.0
4.2
4.4
4.6
4.8
5.0
5.2
5.4
5.6
5.8
答案解析：The correct answer is 2.6.
To find the average number of speeding reports in May, you should first calculate
the number of speeding reports and divide it by the amount of drivers who
received one.
You can see that 12% of the total number of tickets,27.5 million, were given as a
result of speeding.
Number of speeding reports given in May:27.5x0.12= 3.3 million reports
Average number of speeding reports per driver:
=2.64
Each speeding driver received,on average, 2.6 reports.
10.What is approximately the ratio of a UK basket of goods to a Swedish basket of
goods in 2010(in GBP)?
710:823717:824
724 :837
737:856
761:837
765:850
775:848
791:824
798: 912
802 :858
824 : 791
837:761
842:732
850 : 776
856 : 737
858:802
872:740
899 : 775
912:778
答案解析：The correct answer is 775;848.
Total price of a basket of goods in the UK(2010):
1.39+1.61+1.05+2.50+1.20= 7.75
Total price of a basket of goods in Sweden (2010):
2.65+1.63+0.93+2.34+1.95= 9.50
In order to find the ratio between these prices,you need to convert them into the
same currency (GBP or EURO).For the purposes of this question,convert the
Swedish price of a basket of goods from EURO to GBP:
=8.48
Thus,the ratio is 7.75:8.48, which can also be presented as 775: 848.
11.In 2013, a basket of goods in the UK reached a peak price of 8.15.In which
year/s did Sweden surpass this price (using the average conversion rate for
2010- 2013)?
2010
2011
2012
2013
2010,2011
2010,2012
2010,2013
2011,2012
2011,2013
2012,2013
2010,2011,20122010,2011,2013
2010,2012,2013
2011,2012,2013
2010,2011,2012,2013
答案解析：The correct answer is 2010.
First,sum up the price of a basket of goods for each year in Sweden:
2010:2.65+1.63+0.93+2.34+1.95= 9.50
2011:2.56+1.57+1.13+2.27+1.90 =E9.43
2012:2.55+1.54+1.17+2.30+1.85= 9.41
2013:2.49+1.52+1.18+2.38+1.80= 9.37
Using the average conversion rate for the range of 2010-2013:
1GBP= =1.16
Now you need to convert the prices of the basket of goods in order to compare
the UK to Sweden.The recommended way is to convert only the UK basket price
into euros in order to save time on numerous calculations:
8.15x 1.16= 9.45
The only year in which Sweden surpassed the peak price of a UK basket of goods
was 2010.
12.In the UK, between which two consecutive years was the inflation rate the
lowest? Inflation rate is defined as an average % change in prices of a basket of
goods.
2010-2011
2011-2012
2012-2013
答案解析：The correct answer is 2012- 2013.
In this question,you are asked to calculate the average percent change of
products in the UK between years.
Percent change is calculated by subtracting the previous price of a product from
its new price and dividing the result by the previous price.
The correct answer is 2012-2013.
Also note that you could have 'guessed' this answer with a simple estimation:
Between 2012-2013,two products showed a decrease in price as opposed to
only one product in other years.This can serve as an indication of a low inflation rate.材料3
第三组 12题 简答题
1.What is the average cost of a Basic package across mobile companies for the
contract length of each company?
88.0
88.1
88.2
88.3
88.4
88.5
88.6
88.7
88.8
88.9
90.0
90.1
90.2
90.3
90.4
90.5
90.6
90.7
90.8
90.9
91.0
91.1
91.2
91.3
91.4
91.5
91.6
答案解析：The correct answer is 88.3.
The question asks you to calculate the average cost of a Basic package.Eachpackage has two variables: (1) monthly cost and (2) length of contract. In order
to solve this question, you must calculate the total cost of the package for each
company (taking into account both monthly cost and contract length), and then
sum up the costs of all companies and divide by 6 (the number of companies):
Average cost across companies = total value十number of companies
Average cost across companies: (144+69.6+72+34.8+36.6+172.8)+6=529.8+6=88.3
2.A customer purchased a Coach package with the Call.org mobile company.Once
his contract came to an end, he switched to a First Class package with Red
company.He decided to cancel the package nine months before its termination,
paying a fine of 25% of the remaining cost of the package.How
much in total did the customer pay for mobile services?(to the closest integer)
100
110
120
130
140
150
160
170
180
190
200
210
220
230
240
250
260
270280
290
300
310
320
330
340
350
360
答案解析：The correct answer is 170.
You should solve this question in steps:
1.Cost of Coach package with Call.org: 66.5x6(months)= 39
2.Cost of First class package with Red for 15 months:7.6x15=114
3.C cost of fine:0.25x7.6x 9 (remaining months)=7.1
Total cost for the customer: 39+114+17.1=170.1
The customer paid approximately 170 for mobile services.
3.Which company has the highest monthly turnover?
TeleP
Mobility
XR Communication
WiF
Call.org
Red
答案解析：The correct answer is Mobility.
Turnover is the amount of money taken in by a business over a particular period
of time.
In order to calculate the monthly turnover of each company, you need to multiply
each package price by the total number of sales of that package.Since sales are
distributed evenly across packages,you can simply add all prices up and multiply
by 1/5 of the sales (for each company):
Mobility has the highest monthly turnover.
Note: Instead of dividing the sales of each company by the number of packages,
5, you can directly multiply the total price per month by total cost and divide by
the length of contract.4.How many BA overseas (OS) students study in the UK?
715,000
716,000
717,000
718,000
719,000
720,000
721,000
722,000
723,000
724,000
725,000
726,000
727,000
728,000
729,000
730,000
731,000
732,000
733,000
734,000
735,000
736,000
737,000
738,000
739,000
答案解析：The correct answer is 721,000.
The table provides the total number of BA students in each department as well
as the proportion of international students out of this total.In order to answer the question, you must calculate the number of international
students for each department and then sum up all the departments:
Adding up the number of OS students in all departments, the total number of
international students (in thousands) is:
25+135+354+17+124+63+6=721.
5.What is the approximate ratio between the total tuition fees paid by PHD
overseas students in the History department to the total tuition fees paid by local
MA students in the Philosophy department?
1:2
1 :5
1:7
1:8
2 : 1
2:3
2 :7
3 :2
3 :16
3:40
4:5
4 : 9
5 :1
5:4
6:11
6:19
答案解析：The correct answer is 1: 7.
The approximate ratio between the total tuition fees paid by PHD overseas
students in the History department to the total tuition fees paid by local MA
students in the Philosophy department is:
402,000 :2,784,375
Divide both sides by 402,000:
1:6.93Thus, the approximate ratio is 1 : 7.
6.If tuition fees for the humanities departments (History,Literature,and
Philosophy) were to increase by 20% for local students only (after the initial price
reduction for local students), by how much would the total tuition fees collected
from MA/MSc students increase? Give the closest answer. ( answers are in
millions)
5.6
5.7
5.8
5.9
6.0
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
6.9
7.0
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
8.0
答案解析：The correct answer is 6.3.
The question asks you to find the difference in total tuition fees before and after
an increase in the humanities departments' tuition fees, for MA students only.
Notice that in order to answer this question you don't really need to calculate the
fees for each department.Rather,you can focus your attention to the local
students' fees in the humanities departments, as the change in fees is applicable
to them only.
Tuition fees for MA local students before:12,500x 0.75= 9,375
lncrease in tuition fees:9,375x0.20= 1,875
Total number of local students:
History: 2000 x0.95= 1,900;Literature: 1300x0.9 = 1170; Philosophy:300x
0.99= 2971900+1170+297 = 3367
Increase in tuition fees:3367x 1,875=6,313,125
Since the answer choices are given in millions, the correct answer is 6.3.
7.In which sector did the number of employees increase the most from year 1 to year
2?
Agriculture
Manufacturing
Services
Marketing
self-employed
答案解析：The correct answer is manufacturing.
Since the employment figures in the table are given in percentages,you need to
translate them into values in order to answer this question.
Please note that the annual number of employees differs from year to year.
8.In year 3, what was the ratio of the median salary of the agriculture sector to the
median salary of the self-employed sector (approximately)?
1.60 : 1
1:65 : 1
1.70 :11.75 :1
1.80 : 1
1.85: 1
1.90 : 1
1.95:1
2.00 : 1
2.05 :1
2.10 :1
2.15: 1
2.20:1
2.25:1
2.30 : 1
2.35 : 1
2.40 : 1
2.45 :1
2.50 : 1
答案解析：The correct answer is 2.00: 1.
Median salary in year 1 (agriculture):21,000..
Between years 1 and 3, there were two 5% increases in the median salary.So,
the median salary in year 3 is:21,000 x 1.05x 1.05= 23,152.50.
Median salary in year 1(self-employed): 12,000..
Between years 1 and 3, there was a decrease of 6% in the median salary and
then a 3% increase.So, the median salary in year 3 is:12,000 x0.94x1.03=11,618.40.
The ratio of the median salary of the agriculture sector to the median salary of
the self-employed sector in year 3 is (approximately)2 :1.
Note:There is no need to take the percentage change of year 1 into
consideration, since it is already given in the table.In addition, you cannot
calculate the answer with percentage change because the median salary of the
year previous to year 1 is not given.
9.In year 3, what was the ratio of the median salary of the agriculture sector to the
median salary of the self-employed sector ( approximately)?
1.55:1
1.60 : 1
1:65 : 1
1.70 :1
1.75 :1
1.80 : 1
1.85: 1
1.90 : 1
1.95:1
2.00 : 1
2.05 :1
2.10 :12.15: 1
2.20:1
2.25:1
2.30 : 1
2.35 : 1
2.40 : 1
2.45 :1
2.50 : 1
答案解析：The correct answer is 2.00: 1.
Median salary in year 1(agriculture):21,0O0.
Between years 1 and 3, there were two 5% increases in the median salary.So,
the median salary in year 3 is:21,000 x 1.05x 1.05=23,152.50.
Median salary in year 1(self-employed):12,000.
Between years 1 and 3, there was a decrease of 6% in the median salary and
then a 3% increase.So, the median salary in year 3 is:12,000x0.94x1.03=11,618.40.
The ratio of the median salary of the agriculture sector to the median salary of
the self-employed sector in year 3 is (approximately) 2.00 :1.
Note:There is no need to take the percentage change of year 1 into
consideration,since it is already given in the table.In addition, you cannot
calculate the answer with percentage change because the median salary of the
vear Drevious to vear 1 is not aiven.
10.For every GBP generated in yearly turnover by B.M.P in the previous year, how
many USD is Javato forecasted to generate in yearly turnover at the end of this
year?
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.81.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
答案解析：The correct answer is 1.7.
B.M.P generated 1.89 million GBP last year.
Javato is forecasted to generate 1.62 million x 1.31=2.12million at the end of the year.
The ratio between BMP and Javata is 1.89: 2.12,or
1： =1.12
For every 1 GBP B.M.P. generated in yearly turnover the previous year,Javata is
forecasted to generate 1.12 GBP.Converting to USD,Javata is forecasted to
generate:1.12x1.52= 1.70 USD.
Note: If you have difficulties with this subject, watch the Currency Exchange
video tutorial found in your PrepPack.
11.Which company presents the highest turnover-expense ratio for the end-of-the
year forecast?
InsureUdo
Money.com
Yotype
Javato
B.M.P
Apoli
答案解析：The correct answer is Apoli.The highest ratiox: y is the one in which the quotient x/y is the greatest.
Therefore, it is recommended to present the ratios asx : 1,since x/1 =xis
possible to see only by looking at the left number in the ratio.
Note:To save time, you can skip calculating Yotype and Javato ratios, since you
can see that their turnover is lower than their expenses, and therefore neither of
these companies could be the correct answer.
12.How much more or less profits, as forecasted by the end of this year,will B.M.P
make compared to lnsureUdo? The answers are in pounds.
Less,by 125,00o
Less, by 124,000
Less, by 123,000
Less,by 122,000
Less, by 121,000
The same
More, by 121,000
More, by 122,000
More, by 123,000
More, by 124,000
More,by 125,000
答案解析：The correct answer is more, by 123,0O0.
In order to calculate a company’s profit, it is necessary to subtract the yearly
expenses from the yearly turnover.Also, notice that you are not given the data of
this year's forecast; rather you need to calculate it from the data given in the
question.
B.M.P turnover is forecasted to be 10% less than in the previous year.Therefore,
it will be 90% of the previous year's turnover, which was 1.89 million.The
expenses by the end of the year will be 12% less,so 88% of the previous year,
which was E1.05 million.
Turnover (millions): 1.89x(1-0.1)= 1.89x0.9= 1.701 million;Expenses
(millions): 1.05x(1-0.12)= 1.05x0.88= 0.924 million; and Profit (millions):
1.701-0.924= 0.777 million.
InsureUdo turnover is forecasted to be 15% more than in the previous year.Therefore, it will be 115% of the previous year's turnover, which was1.22
million.The expenses by the end of the year will be 7% more,so 107% of the
previous year, which was 0.7 million.
Turnover(millions):1.22x(1+0.15)= 1.22x1.15=1.403 million; Expenses
(millions): 0.7 x(1+0.07)=0.7x1.07= 0.749 million; and Profit(millions):
1.403-0.749= 0.654 million.
Notice that B.M.P's profit is greater than InsureUdo's.Therefore, the correct
answer starts with 'more'.
Difference in profit between B.M.P and InsurUdo:777,000 - 654,000=123,000
