Topic 5: Holidays Unit B – Workbook - 198.12.150.78198.12.150.78/.../resources/2/docs/t05-ub_workbook.pdf · Unit B – Workbook Topic 5: Holidays Exercise 2 Refer to the map of

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.


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.


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?



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.


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?


Exercise 3


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?



(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.




Exercise 4


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?




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.


Exercise 6


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



Perry




68 cm x 36 cm x 25 cm

30 kg

25 kg

Lex




62 cm x 40 cm x 28 cm

22 kg

28 kg


Exercise 7


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.



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)



(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?



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.)




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.



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.



(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.



(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



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.



(ii) AUD1.00 = EUR0.606125


= 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



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


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.



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


= 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



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.



(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.



(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.


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.


The mass of Jimmy’s second bag is 25 kg.


total linear dimensionsbag 1

= 64 + 40 + 30

= 134 cm


= 68 + 38 + 26

= 132 cm



Bag 1 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.



= 107 cm

The total linear dimensions of Perry’s carry-on bag is

107 cm.


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.


The mass of Perry’s second bag is 25 kg.



= 78 + 47 + 36

= 161 cm




= 68 + 36 + 25

= 129 cm

Bag 1 is more 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.


= 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.


The mass of Lex’s second bag is 28 kg.



= 66 + 42 + 30

= 138 cm




= 62 + 40 + 28

= 130 cm



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.)



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.



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



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


= A$266

Ben’s accommodation costs in Toronto are

A$266.

Vancouver (2 nights):



= A$292


= A$146

Ben’s share of accommodation costs in

Vancouver is A$146.

Los Angeles (3 nights):



= A$426


= A$213

Ben’s share of accommodation costs in Los

Angeles is A$213.



(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.



(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.



(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.


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


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


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


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


Unit B – 2006 and 2007 calendars Topic 5: Holidays

2007JANUARY FEBRUARY MARCH


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


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


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


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


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


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


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


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.


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


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

Documents

Topic 5: Holidays Unit B – Workbook - 198.12.150.78198.12.150.78/.../resources/2/docs/t05-ub_workbook.pdf · Unit B – Workbook Topic 5: Holidays Exercise 2 Refer to the map of