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Functional Skills CertificateJanuary 2014
Time allowedl 1 hour 30 minutes
Instructionsl Use black ink or black ball-point pen. Draw diagrams in pencil.l Fill in the boxes at the top of this page.l Answer all questions.l You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.l Do all rough work in this book. Cross through any work that you do not
want to be marked.l State the units of your answer where appropriate.
Informationl The marks for questions are shown in brackets.l The maximum mark for this paper is 60.l You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer booklet.l You are expected to use a calculator where appropriate.l Evidence of checking is specifically assessed in Questions 2(e) and 3(b).
These questions are indicated with a .
Advicel In all calculations, show clearly how you work out your answer.
Functional Mathematics 4368
Level 2
Monday 20 January 2014 9.00 am to 10.30 am
MarkQuestion
For Examiner’s Use
Examiner’s Initials
TOTAL
1
2
3
4
For this paper you must have:
l mathematical instruments
l a copy of the data sheet (examination)
(enclosed).
You may use a calculator.
4368QAN 500/8702/2(JAN14436801)
WMP/Jan14/4368/E3
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2
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1 Canal Boat Holiday There is a data sheet for Canal Boat Holiday.
Todd is planning a canal boat holiday.
1 (a) He uses this formula to work out the time, T hours, to complete different canal routes.
T = –––––
L is the length of the route in miles. N is the number of locks on the route.
Todd looks at the information for the South Pennine route and the Warwickshire route. He says,
“The South Pennine route will take 16 hours longer to complete than the Warwickshire route.”
Is he correct? You must show your working.
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Answer all questions in the spaces provided.
L + N3
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1 (b) The cost for Todd to hire a canal boat is £860. Insurance costs 5% extra.
He wants to hire a canal boat with insurance.
He says,
“I need to pay one-quarter of the total cost as a deposit.”
Is £220 enough to pay the deposit? You must show your working.
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3
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1 (c) Megan is planning a five-day canal boat holiday on the Cheshire route.
On each of the 4 days that she travels on the canal, she wants to travel
at least 14 lock-milesbut
no more than 35 lock-miles.
Plan her five-day holiday on the Cheshire route. You must show the number of lock-miles she travels each day.
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Megan
I want to
• start at Ashton
• stay in Castlefield for 1 day
• travel on the canal for the other 4 days.
The distance travelled along a canal can be measured in lock-miles.
Number of lock-miles = length in miles + number of locks
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2 Funfair There is a data sheet for Funfair.
Kim and Paul visit the funfair together.
2 (a)
Tick the rides that Kim is tall enough to go on.
Mad Mouse
Waltzer
Helter Skelter
Crazy Spinner
Runaway Train
Bumper Cars
Splash Boats
(1 mark)
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Kim
I am 1.40 metres tall.
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2 (b)
Tick the rides that Paul is tall enough to go on.
Mad Mouse
Waltzer
Helter Skelter
Crazy Spinner
Runaway Train
Bumper Cars
Splash Boats
(1 mark)
I am 1.12 metres tall.
Paul
2 (c) Kim and Paul each want to go on every ride they are tall enough to go on.
Work out the smallest total number of tokens they need.
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George also visits the funfair.
2 (d) George is 4 feet 6 inches tall.
He uses this information to work out how tall he is in centimetres.
Is he correct? You must show your working.
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I am tall enough to go on every ride.
George
1 foot = 12 inches
1 inch = 2.5 centimetres
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2 (e) George wants to buy exactly 46 tokens.
Work out the cheapest way he can buy exactly 46 tokens.
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Check that this is the cheapest way. Show how you have done your check.
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Turn over for the next question
DO NOT WRITE ON THIS PAGEANSWER IN THE SPACES PROVIDED
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3 Stickers There is a data sheet for Stickers.
3 (a) Zoe is designing a page for 9 stickers.
The page must have
l at least 5 portrait stickers
l at least 3 landscape stickers
l at least 2 cm between stickers
l at least 2 cm around the edge of the page.
Show one possible design for the page on the scale drawing opposite.(4 marks)
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Practise on this grid.
Scale 1 cm represents 2 cm
Put your final answer on this grid.
Scale 1 cm represents 2 cm
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3 (b) A sticker book has a cardboard cover. The stickers fit on the pages inside. The number of pages is a multiple of 4.
The book has
l 9 stickers on each page until there are 234 stickers in the book
l some blank pages at the end of the book.
Work out the smallest possible number of pages in the book.
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Check that your answer is a multiple of 4. Show how you have done your check.
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The data for the first 30 days is shown in the table.
Total = 30
3 (c) Use the data to work out an estimate of the mean number of packs she sells per day.
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3 (d) The shop opens for 6 days a week.
How many packs should she order per week?
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I sell packs of stickers in my shop.
I want to work out how many packs of stickers to order.Each day I will record the number of packs I sell to thenearest 10.
Mrs Smith
Number of packs Number of days
40 2
50 12
60 9
70 7
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Tom buys some stickers from shop A and some stickers from shop B. He records this information about the stickers he buys.
3 (e) Tom says,
“Less than 40% of the total of these stickers are landscape.”
Is he correct? You must show your working.
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I am collecting stickers.
I need more landscape stickers.
Tom
Portrait Landscape Total
Shop A 32 16 48
Shop B 52 38 90
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3 (f) Tom uses the information about the stickers he buys.
He says,
“I am more likely to get landscape stickers from shop B than from shop A.”
Is he correct? You must show your working.
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4 Charity
Sue raises money for charity. She bought some items to sell.
4 (a)
She sells all the scarves, all the hats and 16 of the bags at the prices shown below.
She reduces the price of the remaining bags by one-third. She sells the remaining bags at the reduced price. The profit is given to charity.
Work out how much profit she makes.
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Sue
I bought 80 scarves at 75p each and 70 hats at £1.35 each and 25 bags at £2.65 each.
Scarves£1.20 each
Hats£2.50 each
Bags£4.20 each
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Sue also runs a lucky dip.
She puts tickets numbered 1 to 100 in a box.
She buys the prizes for 60p each. The profit is given to charity.
4 (b) Work out the total cost of the prizes.
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4 (c) People pay £1.50 to pick 4 tickets from the box.
Sue says,
“I will make more than £30 profit if I sell all the tickets.”
Is she correct? You must show your working.
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END OF QUESTIONS
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Lucky Dip
Pick 4 tickets from the box
You win a prize for each ticket number that has a digit 7
