Centre Number
For Examiner’s Use
Candidate Number
Surname
Other Names
Examiner’s Initials
Candidate Signature
Question
Mark
1
Functional Skills Certificate
June 2013
2
3
Functional Mathematics
4367
TOTAL
Level 1
Tuesday 14 May 2013
4
1.30 pm to 3.00 pm
For this paper you must have:
l
mathematical instruments
l
a copy of the Data Sheet (Examination)
(enclosed).
You may use a calculator.
Time allowed
l 1 hour 30 minutes
Instructions
l 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.
Information
l 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 book.
l You are expected to use a calculator where appropriate.
l Evidence of checking is specifically assessed in Questions 2(c) and 4(b).
These questions are indicated with a .
Advice
l In all calculations, show clearly how you work out your answer.
(JUN13436701)
4367
WMP/Jun13/4367
QAN 500/8703/4
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2
Answer all questions in the spaces provided.
1
Lake Steamers
There is a data sheet for Lake Steamers.
1 (a)
What time does the first steamer from Glenridding arrive at Howtown?
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(1 mark)
Mr and Mrs Smith and their children, Sam and Mel, are staying in Glenridding.
1 (b)
The Smith family is planning a trip to Pooley Bridge.
They plan to
l
take the steamer from Glenridding to Howtown
l
have a picnic in Howtown as soon as they arrive
l
take the steamer from Howtown to Pooley Bridge.
We want to arrive at Howtown
after one o’clock.
Our picnic will take at least
an hour and a half.
Mrs Smith
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3
Write a plan for their trip from Glenridding to Pooley Bridge.
Include all times in your plan.
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(6 marks)
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4
Here are the ticket prices for the steamer.
Ticket price for one stage
Adult
Child
1 (c)
£ 5.80
£ 3.00
Family
2 adults and 2 children
or
1 adult and 3 children
£ 15.50
Glenridding to Pooley Bridge is two stages.
How much does it cost an adult to travel from Glenridding to Pooley Bridge?
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(2 marks)
1 (d)
The family needs tickets for the two stages.
Mr Smith says,
“We could buy separate tickets for 2 adults and 2 children.”
Mrs Smith says,
“It will be more than £ 4 cheaper if we buy family tickets.”
Is Mrs Smith correct?
You must show your working.
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(6 marks)
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5
They get a taxi back from Pooley Bridge to Howtown.
They decide to walk back from Howtown to Glenridding.
They walk 1 mile every 20 minutes.
1 (e)
How far do they walk in one hour?
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(1 mark)
1 (f)
The walk back to Glenridding is 7 miles.
We can walk back to
Glenridding in 2 hours.
Mr Smith
Is he correct?
You must show your working.
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(3 marks)
19
Turn over for the next question
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6
2
Buying a pet
2 (a)
Jan owns a pet shop.
She surveys some customers about the monthly cost of feeding their pets.
She finds this information for 10 dogs.
Monthly cost of dog food
£ 31
£ 30
£ 29
£ 44
£ 26
£ 36
£ 28
£ 24
£ 45
£ 52
She also finds this information for 8 cats.
Monthly cost of cat food
£ 26
£ 42
£ 38
£ 18
£ 19
£ 41
£ 15
£ 39
On average, it costs more to
feed a dog than a cat.
Jan
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Use the information to work out if Jan is correct.
You must show your working.
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(4 marks)
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8
Ben buys a cat.
He buys this bag of cat food.
Purrfection
Cat Food
1.5 kg
Ben knows that there are 1000 grams in a kilogram.
2 (b)
How many grams are there in 1.5 kilograms?
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(1 mark)
2 (c)
Each day the cat has
30 grams of food for breakfast
and
60 grams of food for dinner.
Ben says,
“There is enough food in this bag to feed my cat for more than two weeks.”
Is he correct?
You must show your working.
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(4 marks)
Check your calculation.
Show how you have done your check.
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(1 mark)
10
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3
Card Shop
3 (a)
I work in a card shop at weekends.
Rob
Here are the times Rob worked last weekend.
Saturday
12:30 pm to 4:30 pm
Sunday
10:30 am to 2:00 pm
Work out how many hours he worked altogether.
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(3 marks)
Question 3 continues on the next page
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3 (b)
Each card in the shop has a price code on the back.
Code
Price
A
£ 1.50
B
£ 2.00
C
£ 3.00
D
£ 3.70
Adam and Kim have £ 2.50 each.
They each want to buy a birthday card.
Kim says,
“I want to buy this card.”
Code D
You can buy your card if
•
•
we put our money together
and
I choose a card with price code A.
Adam
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Is Adam correct?
You must show your working.
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(4 marks)
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3 (c)
Jenny owns the card shop.
She needs more display units.
There are two types of display unit she can buy.
Type A
Type B
Holds 500 cards
Holds 250 cards
Cost £ 350
Cost £ 200
Jenny wants
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to buy enough display units for 2750 cards
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to buy at least one of each type
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the total cost to be £ 2000 or less.
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Show one possible way she can do this.
Include the total cost of the display units.
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(6 marks)
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4
Helen’s Nursery
There is a data sheet for Helen’s Nursery.
My nursery has two rooms.
They are exactly the same size.
One room is for babies.
The other room is for toddlers.
Helen
The grids show the floor space of each room.
Key
Baby room
(14)
represents 1 m2
Toddler room
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Helen says,
“There is enough floor space for
12 babies in the baby room
and
20 toddlers in the toddler room.”
4 (a)
Show that she is correct.
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(4 marks)
4 (b)
Work out the total number of staff needed for 12 babies and 20 toddlers.
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(3 marks)
Check your answer.
Show how you have done your check.
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(1 mark)
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Helen opens a second nursery.
This nursery has 10 staff.
She pays three of them £ 450 each per week.
She pays the rest of them £ 330 each per week.
4 (c)
How much does she pay the 10 staff altogether each week?
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(4 marks)
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4 (d)
The second nursery is open from Monday to Friday.
32 children go to the nursery each day.
Helen charges £ 36 a day for each child.
She has to pay the 10 staff.
Other costs are £ 1250 each week.
Does she make more than £ 800 profit each week at this nursery?
You must show your working.
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(6 marks)
END OF QUESTIONS
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