Maths Level 2 - moodle.stephensoncoll.ac.uk

EDEXCEL FUNCTIONAL SKILLS PILOT

Maths Level 2Test your skills

Chapters 1–3

Planning a holidayApplying skills in:

• whole numbers

• fractions, decimals and percentages

• ratio, proportion, formulae and equations

Answer all questions in this task.

Write your answers in the spaces provided.

Where you see this sign you must show clearly how you get your answersas marks may be awarded for your working out.

You may use a calculator.

© Pearson Education 2009 Functional Maths Level 2 • Chapters 1–3 Test • page 1 Draft for Pilot

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FS-Ma-L2test-Cha1-3.indd 1 7/5/09 15:58:24

Planning a hol iday 1 – 3


You are planning a holiday for yourself and three friends in Ibiza.

The table shows the cost of package holidays at two different hotels in Ibiza.

The costs of a holiday where the accommodation and fl ights are booked separately are shown below.The costs of a holiday where the accommodation and fl ights are booked separately

Price your holiday using this easy guideDepartures on or between

26 Jun09 Jul

10 Jul16 Jul

17 Jul23 Jul

24 Jul18 Aug

19 Aug25 Aug

26 Aug09 Sep

EXTRAS per person per night fromNights

Hotel FlamencoHalf BoardPrices based on 2 adults sharing

7 619 669 695 715 669 619 Single Room £13

14 935 1005 1035 1055 889 875

Hotel AdrianoHalf BoardPrices based on 2 adults sharing

7 639 695 715 739 695 645 Sea Views £104 Bedded Room £2Full Board £163rd adult reduction £1214 1039 1105 1135 1159 995 975

Prices include Coach Transfers.

Departure Date Departure Time Return UK Time Number of Nights Adult Flight Price

Thursday 9-Jul-09 21:40 03:00 14 £117Thursday 9-Jul-09

LOCATION: Portinatx Hotel Lima 3 Star Hotel Hotel Lima is situated directly in front of the Portinatx beach. The complex consists of the hotel Oasis, Oasis Playa and the apartments.

Occupancy Room & Board Type Cost Per Person Per Week2 Adults Twin

Half Board £329.86

1 Your holiday is for 14 nights departing on 9th July and is based on two adults sharing a room.

What is the total cost of a holiday at the Hotel Flamenco for you and three friends?

Total cost £


Planning a hol iday 1 – 3Planning a hol iday 1 – 3


2 The travel agent requires 15% of the total cost of the holiday as a deposit.

Calculate the total amount you will each have to pay as a deposit for your holiday at the Hotel Flamenco.

Deposit £

3 You want to compare the cost of a 14-night holiday where the accommodation and flight are booked separately.

a) What is the total cost of a holiday at the Hotel Lima for you and three friends?

Total cost £

b) How much more will you each have to pay if you book the holiday at Hotel Flamenco instead of Hotel Lima?

£

c) Identify one additional cost if you book the flight and accommodation separately, instead of a package holiday.

.....................................................................................................................................................................................

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4 You need to work out all the additional costs for your holiday.

The list shows typical costs of food and drink in Ibiza.

The cost per person for travel insurance and airport tax is:Travel insurance £32Airport tax £24

You each plan to buy one meal a day with two drinks.Look at the typical costs of food and drink.

a) Work out the maximum amount of money you each need to be able to buy one meal a day with two drinks for your holiday.

Use the box below to show clearly how you get your answer.

Maximum amount £

b) What is the ratio of the travel insurance to the airport tax in its lowest terms?

Ratio :

There is a supplementary charge to travel from your local airport. The ratio of the airport tax to the supplementary charge is 4:5.

c) Calculate the supplementary charge.

Supplementary charge £

The cost per person for travel insurance and airport tax is:

Starter and main course £6.00

Hamburger and chips £2.00

Dessert £1.25

Cup of coffee 55 pence

Soft drink 65 pence



5 You find out the exchange rate between British pounds and Euros.

1 British pound = 1.1008 Euros

The formula which connects the number of British pounds, P, to the amount in Euros, E, is:

E = 1.1008P

An approximate conversion between the British pound and the Euro is:

1 Euro = 9__10 of a British pound

You plan to take £500 spending money on your holiday.

a) Use the exchange rate to change £500 to Euros.

Euros

b) Use the formula to write down an equation for 200 Euros in terms of British pounds and use it to convert 200 Euros to British pounds.

Equation £

c) Use the approximate conversion to convert 200 Euros to British pounds.

£





6 The average maximum temperature in Ibiza in July is 30° Celsius.

The formula for changing degrees Celsius, C, to degrees Fahrenheit, F, is:

F = 9__5 C + 32

An approximate conversion to change degrees Celsius, C, to degrees Fahrenheit, F, is:

‘double it and add 30’

a) Use the formula to convert the average monthly temperature in July to degrees Fahrenheit.

°F

b) Use the approximate conversion to convert the average monthly temperature in July to degrees Fahrenheit.

°F

c) Will the approximate conversion always give a higher temperature in degrees Fahrenheit when converting weather temperatures?

Use the box below to show clearly how you get your answer.




SolutionsAnswer

1 From the table the cost of the holiday per person is £1005. The cost for four people is £1005 × 4 = £4020.

£4020

2 The total deposit for the holiday for four people is 15100 × 4020 = £603.

The cost of the deposit per person is £603 ÷ 4 = £150.75.

£150.75

3a) The cost of the flights for four people is £117 × 4 = £468. The cost of the accommodation for four people is £329.86 × 4 × 2 = £2638.88. (remember to multiply by 2 as it is a 2-week holiday) Total cost of holiday for four people is £468 + £2638.88 = £3106.88.

£3106.88

3b) The difference in the total costs of the holidays is £4020 – £3106.88 = £913.12. The difference in the cost per person is £913.12 ÷ 4 = £228.28.

£228.28

3c) Additional costs when booking flight and accommodation separately rather than a package holiday, is the cost of transport to and from the resort from the airport.

see explanation

4a) The maximum cost of one meal and two drinks is worked out using the most expensive prices for a three-course meal and two drinks. This is £6.00 + £1.25 + 2 × £0.65 = £8.55. (remember to change the pence to pounds) For a 14-day holiday, the maximum cost is £8.55 × 14 = £119.70. (remember £119.7 should be written as £119.70)

£119.70

4b) The ratio of the travel insurance to the airport tax is £32 : £24, which can be cancelled down by dividing by 8 to 4 : 3 (remember to write the ratio in the correct order).

4 : 3

4c) The ratio of the airport tax to the supplementary charge is 4 : 5.

As the airport tax is £24, this means 4 parts is £24 so 1 part is 244 = £6.

The supplementary charge is 5 parts so 5 × £6 = £30.

£30

5a) As 1 British pound = 1.1008 Euros, to find £500 in Euros you need to work out 1.1008 × 500 = @550.40

(remember @550.4 should be written as @550.40)

As a check, 1 British pound is worth more than 1 Euro so the answer must be more than @500.

”550.40



Answer5b) The formula for converting from British pounds to Euros is

E = 1.1008P. To fi nd the equation for 200 Euros in British pounds, put E = 200 in the formula. The equation is 200 = 1.1008P.

To solve the equation for P, you can set up a fl owchart.

Start with the variable you want to fi nd as the input:

Input P × 1.1008 Output E

now write it in reverse:

Output P ÷ 1.1008 Input E

Putting E = 200 and working through the fl owchart backwards:

181.6860 … 2001.1008 200

£181.69

Either £181.68 or £181.69 is acceptable as an answer. Exchange bureaus will often round down when exchanging currency.

200 = 1.1008P

£181.68 or £181.69 to the nearest penny

5c)If 1 Euro = 9

10 of a British pound, then 200 Euros will be 910 × 200 =

£180.

As a check, 1 Euro is worth less than 1 British pound, so the answer must be less than £200.

£180

6a) The formula for changing degrees Celsius, C, to degrees Fahrenheit, F, is: F = 9

5 C + 32

Replacing C by 30 gives F = 95 × 30 + 32 = 86 °F

86°F

6b) The approximate conversion is ‘double it and add 30’, so 30°C would be 30 × 2 + 30 = 90°F

90°F

6c) Substitution of different values for the temperature in degrees Celsius into the formula and the approximate conversion between degrees Celsius and degrees Fahrenheit, show that, if the temperature is less than 10°C, the approximate conversion will give a temperature in degrees Fahrenheit which is less than the one given by using the formula. You need to show at least one example of this clearly in your working, in order to conclude the answer is No.

When the temperature is 10°C both give the same answer:

• using the formula – 95 × 10 + 32 = 50°F

• using approximate conversion – 10 × 2 + 30 = 50°F

Anything less than 10°C will give a lower temperature in degrees Fahrenheit when using the approximate conversion.

For example, if the temperature is 5°C:

• using the formula – 95 × 5 + 32 = 41°F

• using approximate conversion – 5 × 2 + 30 = 40°F

Remember temperature can be negative.

No see examples


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Maths Level 2 - moodle.stephensoncoll.ac.uk