Topic 5: Holidays
Unit B – Workbook
ID: 20050223_04
Prevocational mathematics
Semester 2
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Prevocational Mathematics 1
Topic 5: Holidays Unit B – Workbook
Exercise 1
Complete this exercise in your exercise book.
1. Name two types of travel documents you may need if you
travel overseas.
2. Explain the difference between a passport and a visa.
3. What do you need to do if you are applying for an adult
passport for the first time?
4. Where can you obtain an application form for an
Australian passport?
5. What people can be a guarantor for you when you apply
for a passport?
6. For how long is your adult passport valid once your
application is successful?
7. What do you need to take to your interview?
8. How much does a child passport cost?
9. State two different types of visa.
10. Is it necessary to have all your visas organised before
you begin your holiday?
Check your responses
2 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
Exercise 2
Refer to the map of world time zones and the DST table at
the back of this unit to complete this exercise.
Complete this exercise in your exercise book.
1. Libya is a country located on the northern shores of
Africa. Locate this country on your world map.
(a) How many hours ahead of or behind GMT is local
standard time in Libya?
(b) Which of the following countries are in the same time
zone as Libya?
EGYPT FRANCE ALGERIA CHAD
SPAIN FINLAND ITALY POLAND
2. Jethro is spending part of his holiday in Moscow in
Russia. His brother, Tony, lives in Perth in Western
Australia. Jethro wants to ring Tony between 7:30 a.m.
and 8:00 a.m. on Monday 4 July 2007 (local Perth time)
for Tony’s birthday.
(a) How many hours ahead of or behind GMT is local
standard time in Moscow?
(b) Does Moscow observe DST in July?
(c) How many hours ahead of or behind GMT is the time
in Moscow in July?
(d) How many hours ahead of or behind GMT is local
standard time in Perth?
(e) Does Perth observe DST in July?
(f) How many hours ahead of or behind Perth is the time
in Moscow in July?
(g) If it is 7:30 a.m. Monday 4 July 2007 in Perth, what
time, day and date is it in Moscow?
(h) Between what times (local Moscow time) should
Jethro ring his brother?
Prevocational Mathematics 3
Topic 5: Holidays Unit B – Workbook
3. Abbey is holidaying in Los Angeles (on the west coast
of the USA) and needs to contact her friend, Seba, in
Alice Springs, Australia, between 2 p.m. and 3 p.m. on
Wednesday 13 September 2006.
(a) How many hours ahead of or behind GMT is local
standard time in Los Angeles?
(b) Los Angeles observes DST in September. How many
hours ahead of or behind GMT is Los Angeles in
September?
(c) How many hours ahead of or behind GMT is local
standard time in Alice Springs?
(d) Does Alice Springs observe DST in September?
(e) How many hours ahead of or behind Alice Springs is
the time in Los Angeles in September?
(f) If it is 3 p.m. in Alice Springs on Wednesday 13
September 2006, what time, day and date is it in Los
Angeles?
(g) Between what times (local Los Angeles time) on
which day and date should Abbey ring Seba?
Check your responses
Exercise 3
Complete this exercise in your exercise book.
1. (a) Minnie has decided to spend her overseas holiday
in France. She plans to exchange 200 Australian
dollars for French currency (euro, €) before she
leaves Australia. How much will she receive if she
exchanges her money on a day when the exchange
rate is:
(i) AUD1.00 = EUR0.597641?
(ii) AUD1.00 = EUR0.598312?
4 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
(b) When she was about to return to Australia, Minnie
had €68 to exchange for Australian dollars. How
much will Minnie receive if the exchange rate is:
(i) AUD1.00 = EUR0.587891?
(ii) AUD1.00 = EUR0.606125?
2. (a) Manfred has planned to visit a few overseas
countries during his holiday. He will travel from
Australia to England, and then to Greece, and finally
to Japan. Calculate how much Manfred will receive if
he exchanges:
(i) AUD300 for British pounds when the exchange
rate is AUD1.00 = GBP0.407555
(ii) GBP150 for euros when the exchange rate is
GBP1.00 = EUR1.47129.
(b) When Manfred arrived in Japan he had €120
he wanted to exchange for Japanese yen. The
exchange rate at the time was
JPY1.00 = EUR0.00683939. How many yen should
Manfred receive for his 120 euro? Round your
answer down to the nearest whole yen.
(c) When Manfred was due to return to Australia
from Japan, he had ¥260 to exchange for
Australian dollars. How much will Manfred receive
if the exchange rate is AUD1.00 = JPY88.1423?
Remember to round your final answer down to the
nearest 5c.
Check your responses
Prevocational Mathematics 5
Topic 5: Holidays Unit B – Workbook
Exercise 4
Complete this exercise in your exercise book.
1. Baloo bought 600 euros (EUR, €) worth of travellers
cheques. The exchange rate when he bought them was
AUD1.00 = EUR0.594671.
(a) How many Australian dollars did Baloo pay for the
cheques?
(b) Baloo asked for four €100 cheques and the rest in
€50 cheques. How many €50 cheques did Baloo
receive?
(c) The bank charged Baloo 1% commission on the
price of the cheques. How much commission did
Baloo pay?
(d) What is the total cost of the cheques (including
commission) in Australian dollars?
2. Bagheera bought three US$100 travellers cheques and
seven US$50 travellers cheques. The exchange rate
when he bought the cheques was
AUD1.00 = USD0.765609.
(a) How many US dollars does Bagheera have in
travellers cheques?
(b) How much did this value of travellers cheques cost in
Australian dollars?
(c) Calculate the commission Bagheera paid if he was
charged 1% of the price of the cheques.
(d) What was the total cost of the cheques (including
commission) in Australian dollars?
Check your responses
6 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
Exercise 5
Complete this exercise in your exercise book. Refer to the
conversion factors given in the Rules section at the back of
the unit.
1. Karen’s average speed for the journey between Detroit
and Cleveland was 60 miles/h. Calculate her average
speed in km/h.
2. The ingredients in Joel’s cake recipe include:
• 14
lb butter
• 12
pint milk.
Calculate:
(a) how many grams of butter Joel needs
(b) how many millilitres of milk Joel needs for the cake.
Round your answers up to the next 5 g or whole mL.
Check your responses
Exercise 6
Complete this exercise in your exercise book.
1. Jimmy, Perry and Lex have booked seats in economy
class for an overseas holiday. Each person has packed 1
carry-on bag and 2 bags to check. The dimensions and
masses of each bag are listed in the following tables.
Decide whether each person’s bags are within the
allowable limits.
Jimmy
Type Dimensions Mass
Carry-on 55 cm x 30 cm x 22 cm 5.5 kg
Checked 64 cm x 40 cm x 30 cm
68 cm x 38 cm x 26 cm
28 kg
25 kg
Prevocational Mathematics 7
Topic 5: Holidays Unit B – Workbook
Perry
Type Dimensions Mass
Carry-on 55 cm x 30 cm x 22 cm 6.5 kg
Checked 78 cm x 47 cm x 36 cm
68 cm x 36 cm x 25 cm
30 kg
25 kg
Lex
Type Dimensions Mass
Carry-on 55 cm x 35 cm x 25 cm 7.2 kg
Checked 66 cm x 42 cm x 30 cm
62 cm x 40 cm x 28 cm
22 kg
28 kg
Check your responses
Exercise 7
Complete this exercise in your exercise book.
Use the following exchange rates to answer Question 1.
AUD1.00 = CAD0.860403
USD1.00 = CAD1.12023
AUD1.00 = USD0.768172
Note: Since this is for budget purposes, round all of the
amounts in your answers for Questions 1 and 2 up to the
next whole dollar.
At the back of this unit you will find 2 blank calendar pages
for the months of August and September. You may find these
pages useful to help work out arrival and departure dates for
some of the questions in this exercise.
8 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
1. Ben has decided to take his 4 weeks annual leave from
12 August 2006 to 10 September 2006. He plans to
spend some time in New York and Los Angeles in the
USA, and also wants to take the 11-day train tour across
Canada, spending some time in Toronto and Vancouver
at each end of the tour. Ben has roughly sketched out:
• when he plans to depart and return to Brisbane
• how many nights he will spend in each city.
His itinerary is as follows:
Date Place and time
16 August • depart Brisbane for New York
• spend 4 nights in New York
20 August • fly from New York to Toronto
• spend 2 nights in Toronto
22 August • 11-day (10 night) train tour across
Canada (from Toronto to Vancouver)
1 September • arrive in Vancouver
• spend 2 nights in Vancouver
3 September • fly from Vancouver to Los Angeles
• spend 3 nights in Los Angeles
6 September • leave Los Angeles for Brisbane on 6
September
Ben has searched the Internet to find prices for airfares
and accommodation so he has an idea of how much he
will need to save for his trip. The airfare prices are listed
below.
Flight Cost
Brisbane to New York (USA) A$2315 (AUD)
New York (USA) to Toronto (Canada) US$291 (USD)
Vancouver (Canada) to Los Angeles
(USA)
CA$432 (CAD)
Los Angeles (USA) to Brisbane US$1405
(USD)
Prevocational Mathematics 9
Topic 5: Holidays Unit B – Workbook
(a) Use the exchange rates provided to calculate:
(i) the cost of each airfare in Australian dollars
(ii) the total cost of Ben’s airfares in Australian
dollars.
(b) Ben is travelling with his friend, Bill. They plan to
share accommodation costs wherever they can.
Costs for the accommodation Ben has found are
listed in the following table.
Accommodation Cost per night
New York US$175 per room twin share
Toronto CA$114 per person
Vancouver CA$125 per room twin share
Los Angeles US$109 per room twin share
Use the exchange rates provided to calculate:
(i) the cost per night in Australian dollars
(ii) Ben’s share of the accommodation costs in each
city
(iii) Ben’s total accommodation costs.
(c) The 11-day train tour across Canada costs CA$3636.
Use the exchange rates provided to calculate the
cost of this tour in Australian dollars.
(d) Ben has allowed A$120 spending money per day
while he is overseas (22 days). Calculate the total
amount of spending money Ben will need for the trip.
(e) What is the total amount (in Australian dollars) Ben
will need for his airfares, accommodation, train tour
and spending money?
10 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
2. Ben plans to use a Cash Passport for his spending
money. He has worked out that he will be in Canada
for 14 days and in the USA for 8 days of his holiday.
Calculate:
(a) the number of US dollars Ben should load onto his
Cash Passport
(b) the number of Canadian dollars he should load onto
his Cash Passport.
3. Ben had $8500 in his holiday savings account at the end
of 2005. During 2006 he plans to transfer $300 from each
pay into his holiday savings account. He is paid every
fortnight on a Wednesday starting on 4 January 2006.
Refer to the 2006 calendar at the back of this unit to
answer the next question.
(a) How many pays will Ben receive by the time he
leaves on his trip on 16 August? (Include the pay he
receives on 16 August in your calculations.)
(b) How much money will Ben have in his holiday
savings account by 16 August. (Assume there are no
withdrawals, and disregard bank fees and interest.)
(c) If Ben wants to have $15 000 in his holiday account
before he leaves for his trip, how much should he
transfer into this account each fortnight during 2006?
4. Ben’s flight to New York departs Brisbane at 0605 on
Wednesday 16 August 2006. The duration of the trip
(including stopovers) is 25 h 15 min. What time (local
New York time) does Ben arrive in New York? (New York
observes DST in August.)
Check your responses
Prevocational Mathematics 11
Topic 5: Holidays Unit B – Workbook
Self-check answers
Exercise 1
1. If you travel overseas you will need a passport and visas
to enter and travel in the countries you intend to visit.
2. A passport is a formal document of identification issued
by the government of the country of which you are a
citizen.
A visa is a form of permission for a non-citizen to travel to
or work in a specific country.
3. To apply for an adult passport for the first time, you need
to:
• complete an Australian Passport Application Form
• provide 2 recent identical photographs of yourself
• have a ‘guarantor’ complete section 12 of the
application form
• pay a fee (adults would pay $193 in 2006)
• go to an interview.
4. An application form for an Australian passport may be
obtained from any Australian Post Office, or may be
completed online at https://www.passports.gov.au/Web/
Forms/Passport/Adult/AdultPassport_0.aspx.
5. A person can be a guarantor if he or she:
• is an Australian citizen
• is at least 18 years of age
• has known you for at least 12 months
• is not related to you by birth or marriage and does not
live at the same address as you.
12 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
6. An adult passport is valid for 10 years from the time of
successful application.
7. For the interview it is necessary to take:
• the completed application form
• passport photographs
• original documents, such as birth certificate, showing
proof of Australian citizenship
• original documents showing current name, address and
signature of the applicant. A driver’s licence would be
suitable for this.
• the application fee.
8. A child passport costs $96 (in 2006).
9. Choose any two of the following answers:
• permanent visa
• working visa
• temporary visa
• visitor visa
• transit visa.
10. No. It is a good idea to have all necessary visas
organised before travel begins, but it is still possible
to obtain visas for different countries when you are
overseas.
Exercise 2
1. (a) Local standard time in Libya is 1 hour ahead of GMT.
(b) France, Algeria, Chad, Spain, Italy and Poland are in
the same time zone as Libya. (Egypt and Finland are
not.)
2. (a) Local standard time in Moscow is 3 hours ahead of
GMT.
(b) Yes. Moscow observes DST in July.
Prevocational Mathematics 13
Topic 5: Holidays Unit B – Workbook
(c) Because of DST, Moscow is 4 hours ahead of GMT
in July.
(d) Local standard time in Perth is 8 hours ahead of
GMT.
(e) No, Perth does not observe DST in July. (Western
Australia does not observe DST at all.)
(f) Moscow is (8 – 4) h = 4 h behind Perth in July.
(g) time in Moscow = time in Perth – 4 h
= 7:30 a.m. – 4 h
= 3:30 a.m. the same day
If it is 7:30 a.m. Monday 4 July 2007 in Perth, it will
be 3:30 a.m. Monday 4 July 2007 in Moscow.
(h) Jethro should ring his brother between 3:30 a.m. and
4 a.m. local Moscow time.
3. (a) Local standard time in Los Angeles is 8 hours behind
GMT.
(b) Because of DST, Los Angeles is 7 hours behind GMT
in September.
(c) Local standard time in Alice Springs is 9½ hours
ahead of GMT.
(d) No, Alice Springs does not observe DST in
September. (The Northern Territory does not observe
DST at all.)
(e) Los Angeles is (7 + 9½) h = 16½ h behind Alice
Springs in September.
(f) time in Los Angeles = time in Alice Springs – 16½ h
= 3 p.m. – 16½ h
= 10:30 p.m. the previous day
If it is 3 p.m. in Alice Springs on Wednesday 13
September 2006, it is 10:30 p.m. on Tuesday 12
September 2006 in Los Angeles.
14 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
(g) Abbey should ring Seba between 9:30 p.m. and
10:30 p.m. (local Los Angeles time on Tuesday,
12 September 2006)
Exercise 3
1. (a) (i) AUD1.00 = EUR0.597641
The currency on the left-hand side of the
equation is Australian dollars.
Minnie is selling Australian dollars.
She should multiply by the exchange rate.
no. of euros = no. of AUD x exchange rate
= 200 x 0.597641
= EUR119.5282
≈ EUR119.52
Minnie will receive €119.52.
(ii) AUD1.00 = 0.598312 EUR
no. of euros = no. of AUD x exchange rate
= 200 x 0.598312
= EUR119.6624
≈ EUR119.66
Minnie will receive €119.66.
(b) (i) AUD1.00 = EUR0.587891
The currency on the left-hand side of the
equation is Australian dollars.
Minnie is buying Australian dollars.
She should divide by the exchange rate. (BUD)
no. of AUD = no. of euros ÷ exchange rate
= 68 ÷ 0.587891
= AUD115.667… (Round down to
the nearest 5c.)
≈ AUD115.65
Minnie will receive A$115.65.
Prevocational Mathematics 15
Topic 5: Holidays Unit B – Workbook
(ii) AUD1.00 = EUR0.606125
no. of AUD = no. of euros ÷ exchange rate
= 68 ÷ 0.606125
= AUD112.188… (Round down to
the nearest 5c.)
≈ AUD112.15
Minnie will receive A$112.15.
2. (a) (i) AUD1.00 = GBP0.407555
The currency on the left-hand side of the
equation is Australian dollars.
Manfred is selling Australian dollars.
He should multiply by the exchange rate.
no. of pounds = no. of AUD x exchange rate
= 300 x 0.407555
= GBP122.2665
≈ GBP122.26
Manfred will receive £122.26.
(ii) GBP1.00 = EUR1.47129
The currency on the left-hand side of the
equation is British pounds (£).
Manfred is selling British pounds.
He should multiply by the exchange rate.
no. of euros = no. of pounds x exchange rate
= 150 x 1.47129
= EUR220.6935
≈ EUR220.69
Manfred will receive €220.69.
(b) JPY1.00 = EUR0.00683939
The currency on the left-hand side of the equation is
Japanese yen (¥).
Manfred is buying Japanese yen.
He should divide by the exchange rate.
16 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
no. of yen = no. of euros ÷ exchange rate
= 120 ÷ 0.00683939
= JPY17 545.42…
≈ JPY17 545
Manfred will receive ¥17 545.
Remember, the yen is the smallest coin, so ignore
decimal places.
(c) AUD1.00 = JPY88.1423
The currency on the left-hand side of the equation is
Australian dollars.
Manfred is buying Australian dollars.
He should divide by the exchange rate. (BUD)
no. of AUD = no. of yen ÷ exchange rate
= 260 ÷ 88.1423
= AUD2.949…
≈ AUD2.90
Manfred will receive A$2.90.
Exercise 4
1. (a) AUD1.00 = EUR0.594671
no. of AUD = no. of euros ÷ exchange rate
= 600 ÷ 0.594671
= AUD1008.961…
≈ AUD1009.00
Baloo paid A$1009 for the cheques.
(Since this is paid to the bank, round up to the next
5c.)
(b) cost of four €100 cheques = €100 x 4
= €400
amount left = €600 – €400
= €200
Prevocational Mathematics 17
Topic 5: Holidays Unit B – Workbook
no. of €50 cheques = no. of euros left ÷ 50
= 200 ÷ 50
= 4
Baloo received four €50 cheques.
(c) commission = 1% of cost of cheques
= 0.01 x A$1009
= A$10.09
≈ A$10.10
Baloo paid a commission of A$10.10 when he
purchased the cheques.
(Since commission is paid to the bank, round up to
the next 5c.)
(d) total cost = cost of cheques + commission
= A$1009 + A$10.10
= A$1019.10
The total cost of the cheques, including commission,
was A$1019.10.
2. (a) value of three US$100 cheques = US$100 x 3
= US$300
value of seven US$50 cheques = US$50 x 7
= US$350
total value of cheques = US$300 + US$350
= US$650
Bagheera has US$650 in travellers cheques.
(b) cost in AUD = cost in USD ÷ exchange rate
= USD650 ÷ 0.765609
= A$848.997… (Round up.)
≈ A$849
The travellers cheques cost A$849.
18 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
(c) commission = 1% of the price of the cheques
= 0.01 x A$849
= A$8.49 (Round up.)
≈ A$8.50
Bagheera paid A$8.50 commission.
(d) total cost = cost of cheques + commission
= A$849 + A$8.50
= A$857.50
The total cost of the cheques, including commission,
was A$857.50.
Exercise 5
1. 60 miles/h means 60 miles in 1 hour.
1 mile = 1.6 km
60 miles = (60 x 1.6) km
= 96 km
60 miles in 1 hour means 96 km in
1 hour.
60 miles/h = 96 km/h
Karen’s average speed for the
journey between Detroit and
Cleveland was 96 km/h.
2. (a) 1 lb = 0.45 kg
14 lb = ( 1
4 x 0.45) kg
= 0.1125 kg
= 112.5 g
≈ 115 g
Joel needs 115 g of butter for
the cake.
Prevocational Mathematics 19
Topic 5: Holidays Unit B – Workbook
(b) 1 pint = 0.56 L
12 pint = ( 1
2 x 0.56) L
= 0.28 L
= 280 mL
Joel needs 280 mL of milk for
the cake.
Exercise 6
1. Jimmy
Carry-on baggage:
The mass of Jimmy’s bag is 5.5 kg.
This is less than the allowable limit.
total linear dimensions = 55 + 30 + 22
= 107 cm
The total linear dimensions of Jimmy’s carry-on bag are
107 cm.
This is less than the allowable limit.
Both the dimensions and the mass are below the
allowable limit so Jimmy’s carry-on bag will be allowed.
Checked baggage:
The mass of Jimmy’s first bag is 28 kg.
This is less than the allowable limit.
The mass of Jimmy’s second bag is 25 kg.
This is less than the allowable limit.
total linear dimensionsbag 1
= 64 + 40 + 30
= 134 cm
total linear dimensionsbag 2
= 68 + 38 + 26
= 132 cm
20 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
Bag 1 is less than the allowable limit.
Bag 2 is less than the allowable limit.
total linear dimensionsboth bags
= 134 + 132
= 266 cm
The total linear dimensions for both bags is less than the
allowable limit.
Jimmy will be allowed to check these 2 bags.
Perry
Carry-on baggage:
The mass of Perry’s bag is 6.5 kg.
This is less than the allowable limit.
total linear dimensions = 55 + 30 + 22
= 107 cm
The total linear dimensions of Perry’s carry-on bag is
107 cm.
This is less than the allowable limit.
Both the dimensions and the mass are below the
allowable limit so Perry’s carry-on bag will be allowed.
Checked baggage:
The mass of Perry’s first bag is 30 kg.
This is less than the allowable limit.
The mass of Perry’s second bag is 25 kg.
This is less than the allowable limit.
total linear dimensionsbag 1
= 78 + 47 + 36
= 161 cm
Prevocational Mathematics 21
Topic 5: Holidays Unit B – Workbook
total linear dimensionsbag 2
= 68 + 36 + 25
= 129 cm
Bag 1 is more than the allowable limit.
Bag 2 is less than the allowable limit.
Perry will not be allowed to check bag 1 but he will be
allowed to check bag 2.
Lex
Carry-on baggage:
The mass of Lex’s bag is 7.2 kg.
This is more than the allowable limit. Lex will need to take
something (with a mass of 200 g or more) out of his bag if
he wants to carry it onto the plane.
total linear dimensions = 55 + 35 + 25
= 115 cm
The total linear dimensions of Lex’s carry-on bag are
115 cm.
This is equal to the allowable limit.
Lex will not be allowed to carry his bag onto the plane
unless he is able to leave something behind (or packs it
into his checked baggage) so that his bag weighs 7 kg or
less.
Checked baggage:
The mass of Lex’s first bag is 22 kg.
This is less than the allowable limit.
The mass of Lex’s second bag is 28 kg.
This is less than the allowable limit.
total linear dimensionsbag 1
= 66 + 42 + 30
= 138 cm
22 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
total linear dimensionsbag 2
= 62 + 40 + 28
= 130 cm
Bag 1 is less than the allowable limit.
Bag 2 is less than the allowable limit.
total linear dimensions for both bags = 138 + 130
= 268 cm
The total linear dimensions for both bags is less than the
allowable limit.
Lex will be allowed to check these 2 bags.
Exercise 7
1. (a) (i) Brisbane to New York:
cost = A$2315
New York (USA) to Toronto (Canada):
(You are given this price in US dollars [USD] and
want to know the equivalent price in Australian
dollars [AUD]. Use the exchange rate that shows
the conversion between AUD and USD.)
AUD1.00 = USD0.768172
USD291 = (291 ÷ 0.768172) AUD
= AUD378.82 …
≈ AUD379
The flight from New York to
Toronto will cost approximately
A$379.
Vancouver (Canada) to Los Angeles (USA):
(You are given this price in Canadian dollars
[CAD] and want to know the equivalent price in
Australian dollars. Use the exchange rate that
shows the conversion between AUD and CAD.)
Prevocational Mathematics 23
Topic 5: Holidays Unit B – Workbook
AUD1.00 = CAD0.860403
CAD432 = (432 ÷ 0.860403) AUD
= AUD502.09…
≈ AUD503
The flight from Vancouver to Los
Angeles will cost approximately
A$503.
Los Angeles (USA) to Brisbane:
(You are given this price in US dollars [USD] and
want to know the equivalent price in Australian
dollars. Use the exchange rate that shows the
conversion between AUD and USD.)
AUD1.00 = USD0.768172
USD1405 = (1405 ÷ 0.768172) AUD
= AUD1829.01…
≈ AUD1830
The flight from Los Angeles to Brisbane
will cost approximately A$1830.
(ii) total cost = (2315 + 379 + 503 + 1830) AUD
= A$5027
The total cost of the airfares for Ben’s trip is
A$5027.
(b) (i) New York:
AUD1.00 = USD0.768172
USD175 = (175 ÷ 0.768172) AUD
= AUD227.81…
≈ AUD228
The cost per room per night in New
York is approximately A$228.
24 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
Toronto:
AUD1.00 = CAD0.860403
CAD114 = (114 ÷ 0.860403) AUD
= AUD132.49…
≈ AUD133
The cost per person per night in
Toronto is approximately A$133.
Vancouver:
AUD1.00 = 0.860403 CAD
CAD125 = (125 ÷ 0.860403) AUD
= AUD145.28…
≈ AUD146
The cost per room per night in
Vancouver is approximately A$146.
Los Angeles:
AUD1.00 = USD0.768172
USD109 = (109 ÷ 0.768172) AUD
= AUD141.89…
≈ AUD142
The cost per room per night in Los
Angeles is approximately A$142.
(ii) The cost is per room in New York, Vancouver
and Los Angeles. Bill and Ben are sharing the
accommodation costs so Ben will pay half of
the room rate in these cities. The price given
for accommodation in Toronto is a ‘per person’
price. Ben will have to pay the quoted price for
accommodation in Toronto.
Note: Refer to the itinerary to find out how many
nights Ben will be spending in each city.
New York (4 nights):
cost per room per night = A$228
cost for 4 nights = A$228 x 4
= A$912
Prevocational Mathematics 25
Topic 5: Holidays Unit B – Workbook
Ben’s share = 12 of A$912
= A$456
Ben’s share of accommodation costs in New
York is A$456.
Toronto (2 nights):
cost per person per night = A$133
cost for 2 nights = A$133 x 2
= A$266
Ben’s accommodation costs in Toronto are
A$266.
Vancouver (2 nights):
cost per room per night = A$146
cost for 2 nights = A$146 x 2
= A$292
Ben’s share = 12 of A$292
= A$146
Ben’s share of accommodation costs in
Vancouver is A$146.
Los Angeles (3 nights):
cost per room per night = A$142
cost for 3 nights = A$142 x 3
= A$426
Ben’s share = 12 of A$426
= A$213
Ben’s share of accommodation costs in Los
Angeles is A$213.
26 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
(iii) total cost = (456 + 266 + 146 + 213) AUD
= A$1081
Ben’s total cost for accommodation is
approximately A$1081.
(c) AUD1.00 = CAD0.860403
CAD3636 = (3636 ÷ 0.860403) AUD
= AUD4225.92 …
≈ AUD4226
The train tour will cost approximately
A$4226.
(d) total spending money = daily allowance x no. of days
= A$120 x 22
= A$2640
Ben will need to have A$2640 spending money for
the trip.
(e) total required = airfare costs + accommodation costs
+ train tour cost + spending money
= A$(5027 + 1081 + 4226 + 2640)
= A$12 974
The total required for airfares, accommodation, train
trip and spending money is A$12 974.
2. (a) spending money for 8 days = A$120 x 8
= A$960
AUD1.00 = USD0.768172
AUD960 = (960 x 0.768172) USD
= USD737.44…
≈ USD738
Ben should load approximately US$738 onto his
Cash Passport for spending money while he is in
New York and Los Angeles.
Prevocational Mathematics 27
Topic 5: Holidays Unit B – Workbook
(b) spending money for 14 days = A$120 x 14
= A$1680
AUD1.00 = CAD0.860403
AUD1680 = (1680 x 0.860403) CAD
= CAD1445.47…
≈ CAD1446
Ben should load approximately CA$1446 onto his
Cash Passport for spending money while he is in
Canada.
3. (a) Ben will receive 17 pays (including the one on 16
August) by the time he leaves for his trip.
(b) amount saved during 2006 = amount per pay x
no. of pays
= $300 x 17
= $5100
total in holiday account = amount already saved +
$5100
= $8500 + $5100
= $13 600
By the time he leaves for his trip, Ben will have
$13 600 in his holiday savings account.
28 Prevocational Mathematics
Unit B – Workbook Topic 5: Holidays
(c) amount to save = $15 000 – amount saved already
= $15 000 – $8500
= $6500
fortnightly amount = $6500 ÷ no. of fortnights
= $6500 ÷ 17
= $382.35…
≈ $383
Ben will need to transfer $383 into his holiday
savings account each fortnight if he wants to have
$15 000 in his account by 16 August.
4. In August, Brisbane is 10 h ahead of GMT.
New York is normally 5 h behind GMT. In August, New
York observes DST, so in August, New York will be 4 h
behind GMT.
In August, New York is a total of 14 h behind Brisbane.
The plane departs Brisbane at 0605 on Wednesday
16 August 2006 and the trip takes 25 h 15 min so Ben
arrives in New York at 0720 on Thursday 17 August 2006
Brisbane time. (6:05 + 25:15 = 31:20 or 7:20 the next
day)
New York time is 14 h behind Brisbane time in August so
subtract 14 h from 31:20 to find Ben’s arrival time in New
York time.
3120 – 1400 = 1720
Ben arrives in New York at 1720 (5:20 p.m.) on
Wednesday 16 August 2006 New York time.
1 Prevocational Mathematics
Topic 5: Holidays Unit B – 2006 and 2007 calendars
2006JANUARY FEBRUARY MARCH
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 7 1 2 3 4 1 2 3 4
8 9 10 11 12 13 14 5 6 7 8 9 10 11 5 6 7 8 9 10 11
15 16 17 18 19 20 21 12 13 14 15 16 17 18 12 13 14 15 16 17 18
22 23 24 25 26 27 28 19 20 21 22 23 24 25 19 20 21 22 23 24 25
29 30 31 26 27 28 26 27 28 29 30 31
APRIL MAY JUNE
S M T W T F S S M T W T F S S M T W T F S
30 1 1 2 3 4 5 6 1 2 3
2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10
9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17
16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24
23 24 25 26 27 28 29 28 29 30 31 25 26 27 28 29 30
JULY AUGUST SEPTEMBER
S M T W T F S S M T W T F S S M T W T F S
30 31 1 1 2 3 4 5 1 2
2 3 4 5 6 7 8 6 7 8 9 10 11 12 3 4 5 6 7 8 9
9 10 11 12 13 14 15 13 14 15 16 17 18 19 10 11 12 13 14 15 16
16 17 18 19 20 21 22 20 21 22 23 24 25 26 17 18 19 20 21 22 23
23 24 25 26 27 28 29 27 28 29 30 31 24 25 26 27 28 29 30
OCTOBER NOVEMBER DECEMBER
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 7 1 2 3 4 31 1 2
8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9
15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16
22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23
29 30 31 26 27 28 29 30 24 25 26 27 28 29 30
Prevocational Mathematics 2
Unit B – 2006 and 2007 calendars Topic 5: Holidays
2007JANUARY FEBRUARY MARCH
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 1 2 3 1 2 3
7 8 9 10 11 12 13 4 5 6 7 8 9 10 4 5 6 7 8 9 10
14 15 16 17 18 19 20 11 12 13 14 15 16 17 11 12 13 14 15 16 17
21 22 23 24 25 26 27 18 19 20 21 22 23 24 18 19 20 21 22 23 24
28 29 30 31 25 26 27 28 25 26 27 28 29 30 31
APRIL MAY JUNE
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 7 1 2 3 4 5 1 2
8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9
15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16
22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23
29 30 27 28 29 30 31 24 25 26 27 28 29 30
JULY AUGUST SEPTEMBER
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 7 1 2 3 4 30 1
8 9 10 11 12 13 14 5 6 7 8 9 10 11 2 3 4 5 6 7 8
15 16 17 18 19 20 21 12 13 14 15 16 17 18 9 10 11 12 13 14 15
22 23 24 25 26 27 28 19 20 21 22 23 24 25 16 17 18 19 20 21 22
29 30 31 26 27 28 29 30 31 23 24 25 26 27 28 29
OCTOBER NOVEMBER DECEMBER
S M T W T F S S M T W T F S S M T W T F S
1 2 3 4 5 6 1 2 3 30 31 1
7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8
14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15
21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22
28 29 30 31 25 26 27 28 29 30 31 23 24 25 26 27 28 29
1 Prevocational Mathematics
Topic 5: Holidays Unit B – August/September 2006 Calendar
Au
gu
st 2
006
Mo
nd
ayTu
esd
ayW
edn
esd
ayT
hu
rsd
ayF
rid
ayS
atu
rday
/Su
nd
ay
12
34
5 6
78
910
1112 13
1415
1617
1819 20
2122
2324
2526 27
2829
3031
Prevocational Mathematics 2
Unit B – August/September 2006 Calendar Topic 5: Holidays
Sep
tem
ber
200
6M
on
day
Tues
day
Wed
nes
day
Th
urs
day
Fri
day
Sat
urd
ay/S
un
day
12 3
45
67
89 10
1112
1314
1516 17
1819
2021
2223 24
2526
2728
2930
Prevocational Mathematics 1
Topic 5: Holidays Unit B – Australian daylight saving time zones
Australian daylight saving time zones(Last Sunday in October to last Sunday in March)
Topic 5: Holidays Unit B – Australian time zones
Prevocational Mathematics 1
Australian time zones(Last Sunday in March to last Sunday in October)
Prevocational Mathematics 1 of 1
Topic 5: Holidays Unit B – Allowances
Baggage allowance tables
Carry-on baggage
Class Number of
pieces
Linear dimensions Mass
Economy 1 115 cm bag or
185 cm non-rigid garment bag
7 kg
First
Business 2
115 cm bags or
one 115 cm bag and one 185 cm non-
rigid garment bag
7 kg per
piece
Checked baggage
Class Number of
pieces
Linear dimensions Mass
Economy
Business2
Each piece must not be more than
158 cm. The total dimensions of the
2 pieces must not be more than
270 cm.
32 kg per
piece
First 2 158 cm bags 32 kg per
piece
Note: Baggage allowances may differ from airline to airline and may also depend
on your destination. Check the current baggage allowance details with your chosen
airline before you travel.
Prevocational Mathematics 1 of 4
Topic 5: Holidays Unit B – Rule 1
Rules and conversions
Rules
Distance, speed and time
speed = distancetime
distance = speed x time
time = distancespeed
Perimeter and area
Perimeter Area
All polygons
P = sum of all sides
Square Square
P = 4 x s A = s2
Rectangle Rectangle
P = 2(L + W) A = L x W
Statistics
Mean, median and range
mean = sum of all scoresnumber of all scores
median = middle score after all scores have been placed in
ascending or descending order.
middle score = n + 12
th score where n = the number of
scores
range = highest score – lowest score
2 of 4 Prevocational Mathematics
Unit B – Rule 1 Topic 5: Holidays
Earning money
Gross pay, income tax and net pay
gross pay = net pay + income tax
income tax = gross pay – net pay
net pay = gross pay – income tax
Medicare levy = 1.5% of taxable income
tax liability = Medicare levy + income tax due
Buying and selling goods
GST = 111 x retail price
retail price (selling price) = pre-GST retail price + GST
selling price = marked price – discount
Renting accommodation
bond = weekly rent × 4
Conversions
Length
1 cm = 10 mm
1 m = 100 cm
1 m = 1000 mm
1 km = 1000 m
Mass
1 g = 1000 mg
1 kg = 1000 g
1 t = 1000 kg
Prevocational Mathematics 3 of 4
Topic 5: Holidays Unit B – Rule 1
Capacity
1 L = 1000 mL
1 kL = 1000 L
Time
1 min = 60 s
1 h = 60 min
1 day = 24 h
1 wk = 7 days
1 fortnight = 2 wk
1 yr = 52 wk
1 yr = 26 fortnights
1 yr = 12 months
1 yr = 365 days
1 leap yr = 366 days
For cooking
1 tsp = 5 mL
1 Tbsp = 20 mL
1 cup (liquid) = 250 mL
1 cup butter/sugar = 250 g
1 cup flour = 125 g
1 cup brown rice = 255 g
1 cup Jasmine rice = 230 g
1 cup grated cheddar cheese = 70 g
1 cup coconut = 75 g
12.5 Tbsp = 1 cup
1 Tbsp = 10 g
1 cup grated parmesan cheese = 120 g
Imperial conversions
Length
1 yard (yd) = 3 feet (ft)
1 foot = 12 inches (in)
4 of 4 Prevocational Mathematics
Unit B – Rule 1 Topic 5: Holidays
Mass
1 stone (st) = 14 pound (lb)
1 pound (lb) = 16 ounces (oz)
Capacity
1 gallon (gal) = 4 quarts (qt)
1 quart = 2 pints (pt)
1 gallon = 8 pints
Imperial/metric conversions
1 mile (mi) ≈ 1.6 km
1 pound ≈ 0.45 kg
1 gallon ≈ 4.5 L