Let's Get Lost in Killarney with Kate and Wills.
Practice Assessment (Calculator is permitted).
Kate and Wills are planning to travel to Killarney Island for a holiday. They plan to be in Killarney Island for two weeks, and during that time take a three-day bus tour.
This activity requires you to calculate the amount of money Kate and Wills will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Kate and Wills will need to save and how long it will take them to save it.
Kate and Wills are planning to travel to Killarney Island for a holiday. They plan to be in Killarney Island for two weeks, and during that time take a three-day bus tour.
This activity requires you to calculate the amount of money Kate and Wills will need to save for their trip and how long it will take them to save it.
Show your calculations. Use correct mathematical statements. Clearly communicate your strategy and method at each stage of the solution. You will be assessed on the quality of your discussion and reasoning, and how well you link this to the context.
Task
Use the following information to find out how much money Kate and Wills will need to save and how long it will take them to save it.
- Kate and Wills estimate that for each day they are in Killarney Island, between them they will need on average NZ$200 (to the nearest $50) when they are not on the bus trip.
- Kate earns $570 each week. Wills earns $560 each week. Kate is able to save two fifths of her income and Wills 35% of his income to put towards the trip.
- The cost for the return air tickets is $1600 each.
- The cost of travel insurance is $125 plus GST (15%) for the two of them.
- The three-day bus trip costs $440 Killarney Island dollars per person.
- Kilarney Island dollars are used as currency in Killarney Island.
- The Exchange rate is: 1 NZ Dollar = 0.75 Killarney Island dollars
Achievement
To achieve the 4 credits in this assessment you need to calculate the following amounts.
Later we will look at how to achieve Merit and then Excellence, but one step at a time for now.
- use percentages to calculate Kate’s weekly savings
- use fractions to calculate Wills weekly savings
- use rates to find the cost of the bus trip in $NZ.
Later we will look at how to achieve Merit and then Excellence, but one step at a time for now.
OK, so how do we start? Begin with a statement of what you are going to do and then carry out the calculation.
1) Calculate Kate's weekly saving.
2/5 x $570 = $228
2) Calculate Wills' weekly savings
35% of $560 = 35/100 x 560 = $196
3) Calculate the cost of the bus trip in $NZ (divide the Killarney dollars by the exchange rate)
There are two tickets
$NZ = 880/0.75 = $1173.33
So that's it for 4 credits at Level 1. Don't forget the word statements though - very important!
1) Calculate Kate's weekly saving.
2/5 x $570 = $228
2) Calculate Wills' weekly savings
35% of $560 = 35/100 x 560 = $196
3) Calculate the cost of the bus trip in $NZ (divide the Killarney dollars by the exchange rate)
There are two tickets
$NZ = 880/0.75 = $1173.33
So that's it for 4 credits at Level 1. Don't forget the word statements though - very important!
Merit
To gain Merit in this assessment you need to calculate the remaining costs for the holiday, come up with a total and work out how long it will take to save for the holiday. Again you must communicate what you are doing at each step before commencing calculations.
To gain Merit in this assessment you need to calculate the remaining costs for the holiday, come up with a total and work out how long it will take to save for the holiday. Again you must communicate what you are doing at each step before commencing calculations.
1) The daily allowance $200 daily for 11 days (14 days minus the 3 day bus tour)
11 x $200 = $2200
2) The Bus tour:
$880/0.75 = $1173.33 (previously part of Achievement)
3) Air Tickets: $1600 each x 2 =$3200
4) Travel Insurance = $125 + 15% GST
15/100 x $125 = $18.75
$125 + $18.75 = $143.75 or $125 x 1.15 = $143.75 (short cut!)
5) Total Costs $2200 +$1173.33 + $3200 + $143.75 = $6717.08
6) Time to save = total cost/combined weekly savings:
Add Kate and Wills saving together.
$228 + $196 = $424
Therefore, time to save = 6717.08/$424 = 15.84 weeks = 16 whole weeks
11 x $200 = $2200
2) The Bus tour:
$880/0.75 = $1173.33 (previously part of Achievement)
3) Air Tickets: $1600 each x 2 =$3200
4) Travel Insurance = $125 + 15% GST
15/100 x $125 = $18.75
$125 + $18.75 = $143.75 or $125 x 1.15 = $143.75 (short cut!)
5) Total Costs $2200 +$1173.33 + $3200 + $143.75 = $6717.08
6) Time to save = total cost/combined weekly savings:
Add Kate and Wills saving together.
$228 + $196 = $424
Therefore, time to save = 6717.08/$424 = 15.84 weeks = 16 whole weeks
Excellence
To gain Excellence you have to calculate the minimum amount of time required to save for the holiday (in whole number of weeks) AND discuss how the budget might be affected by factors such as:
a) change in exchange rate. What happens to costs if the rate went up ...or down?
b) extra expenses on the bus trip. How might you allow for unexpected costs?
c) sharing of costs between to two travellers. Is it fair and what could be done about it?
You will also use a concept probably unfamiliar to you at this stage which revolves around a maximum daily allowance. If you look back at the question you will notice that Kate and Wills need on average $200 daily to the nearest $50. To the nearest $50 means they could need somewhere between $200 minus $25 or ($175) and $200 plus $25 or ($225). So the daily allowance could go from a minimum of $175 and a maximum of $225 except we say the maximum is $224. This is because $225 is part of the next allowance bracket based around $250 to the nearest $50. The maths around Excellence is not complicated but the concept is not well known amongst students.
To gain Excellence you have to calculate the minimum amount of time required to save for the holiday (in whole number of weeks) AND discuss how the budget might be affected by factors such as:
a) change in exchange rate. What happens to costs if the rate went up ...or down?
b) extra expenses on the bus trip. How might you allow for unexpected costs?
c) sharing of costs between to two travellers. Is it fair and what could be done about it?
You will also use a concept probably unfamiliar to you at this stage which revolves around a maximum daily allowance. If you look back at the question you will notice that Kate and Wills need on average $200 daily to the nearest $50. To the nearest $50 means they could need somewhere between $200 minus $25 or ($175) and $200 plus $25 or ($225). So the daily allowance could go from a minimum of $175 and a maximum of $225 except we say the maximum is $224. This is because $225 is part of the next allowance bracket based around $250 to the nearest $50. The maths around Excellence is not complicated but the concept is not well known amongst students.
The following tutorial has been updated.
Get Lost in London
TRIP TO LONDON - ACHIEVED ONLY
Student instructions
Introduction
Show your calculations. Use correct mathematical statements.
Clearly communicate your strategy and method at each stage of the solution.
Task A
Use the following information to find out how much money
Bill and Bernice will need to save each week. Bill earns $708 each week.
Bernice earns $749 each week. Bill is able to save one third of his income
and Bernice 45% of her income to put towards the trip. The two week bus
trip costs £2500 British pounds per person. British pounds are used as
currency in England Scotland and Wales.
The Exchange rate is: 1 NZ Dollar = 0.47 British pounds
1) Bill's weekly savings: 1/3 x 708 = $236
2) Bernice's weekly savings: 45/100 x 749 = $337.05
That's a total of 236 + 337.5 = $573.05 which is required as a part of the Merit grade
3) Cost of the Bus Tour
Two people, therefore total cost = 2 x 2500 = £5000
now do the conversion 5000/0.47 = $10,638.2978 but we need to round to 2 decimal places.
so the amount is $10,638.30
I was in the UK recently and paid £700 for a two day tour from Stafford to Edinburgh, back to London and on to Paris. returning to London and Stafford then on to Scarborough and York and finally returning to Stafford. I thought it was worth every penny.
Student instructions
Introduction
Show your calculations. Use correct mathematical statements.
Clearly communicate your strategy and method at each stage of the solution.
Task A
Use the following information to find out how much money
Bill and Bernice will need to save each week. Bill earns $708 each week.
Bernice earns $749 each week. Bill is able to save one third of his income
and Bernice 45% of her income to put towards the trip. The two week bus
trip costs £2500 British pounds per person. British pounds are used as
currency in England Scotland and Wales.
The Exchange rate is: 1 NZ Dollar = 0.47 British pounds
1) Bill's weekly savings: 1/3 x 708 = $236
2) Bernice's weekly savings: 45/100 x 749 = $337.05
That's a total of 236 + 337.5 = $573.05 which is required as a part of the Merit grade
3) Cost of the Bus Tour
Two people, therefore total cost = 2 x 2500 = £5000
now do the conversion 5000/0.47 = $10,638.2978 but we need to round to 2 decimal places.
so the amount is $10,638.30
I was in the UK recently and paid £700 for a two day tour from Stafford to Edinburgh, back to London and on to Paris. returning to London and Stafford then on to Scarborough and York and finally returning to Stafford. I thought it was worth every penny.
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Maximum daily allowance = $224
11 x $224 = $2464
11 x $224 = $2464