Embed Size (px)
Citation preview
MathematicsLevel 2
You must have:Pen, calculator, HB pencil, eraser, ruler graduated in cm and mm, protractor, compasses.
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
FSM02/01Paper Reference7 – 11 November 2016
Time: 1 hour 30 minutes
P52532A©2016 Pearson Education Ltd.
1/1/1/1/1
*P52532A0120*
Pearson Edexcel Functional Skills
Turn over
My signature confirms that I will not discuss the content of the test with anyone until the end of the 5 day test window.
Signature: _________________________________________________
Instructions• Use a black ball-point pen.• Fill in the boxes at the top of this page with your name,
centre number and candidate number.• Sign the declaration.• Answer all questions.• Answer the questions in the spaces provided – there may be more space than you need.• Calculators may be used.
Information• The total mark for this paper is 48. • The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.• You must show clearly how you get your answers because marks will be awarded for your working out.• Check your working and your answers at each stage.• This sign shows where marks will be awarded for showing your check.
Advice• Read each question carefully before you start to answer it.• Keep an eye on the time.
2
*P52532A0220*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
SECTION A: Bowling
Answer all questions in this section.
Write your answers in the spaces provided.
1 Andy is going bowling with his friends on Friday. He wants to book two lanes at the bowling alley.
Andy makes some notes.
• Five people – Andy, Bilal, Caz, Dom, Ede
• Two people play each game
• Every person to play only one game with each other person
• Two games can be played at the same time
• 20 minutes for each game
• Start at 7.30 pm
Andy wants a schedule to work out the earliest time all the games can finish.
The schedule must show the
• start time and finish time for each game • names of the people (A, B, C, D or E) playing each game.
Plan a schedule for the bowling games.Show the start times and finish times for the games on your schedule. (4)
3
*P52532A0320* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Use the box below for your schedule.
(Total for Question 1 is 4 marks)
4
*P52532A0420*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
2 Andy wants to go to the gym before he meets his friends on Friday. They are going to meet at the bowling alley at 7.15 pm.
Andy finishes work at 3.30 pm.
Andy knows that he will need
• three quarters of an hour to get from work to the gym • 1 hour at the gym • 20 minutes to get from the gym to his home • 1 hour 15 minutes to have a shower and get changed • 35 minutes to get from home to the bowling alley.
Andy thinks he will be able to get to the bowling alley by 7.15 pm.
Is Andy correct? Show why you think this. (3)
Use the box below to show clearly how you get your answer.
(Total for Question 2 is 3 marks)
5
*P52532A0520* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
3 The last time Andy went bowling he had a mean score of 158 per game.
After 3 games Andy has a total score of 473 He thinks he needs to score over 160 in game 4 to get a mean score greater than 158
(a) Is Andy correct? Show why you think this. Show a check of your working. (4)
Use the box below to show clearly how you get your answer.
Use the box below to show your check.
6
*P52532A0620*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
The friends want to compare their highest and lowest scores for the bowling games.
Name Andy Bilal Caz Dom Ede
highest score 176 175 162 170 150
lowest score 148 145 142 165 116
(b) Draw a graph or chart to compare the highest score with the lowest score for each of the five friends. (3)
Use the graph paper on the opposite page.
The friends want to know who is the most consistent in these games.
(c) Who is the most consistent? Give a reason for your answer. (2)
Write your answer in the box below.
(Total for Question 3 is 9 marks)
7
*P52532A0720* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
8
*P52532A0820*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
SECTION B: Hot air ballooning
Answer all questions in this section.
Write your answers in the spaces provided.
4 Karen and her sister want to go on a hot air balloon flight from Bakewell.
They find these offers for balloon flights on a website.
Offer B
£460 for two people
Special Offer 45% off
Offer A
£197 per person
Special Offer 14
off
They want to spend as little money as possible on their balloon flight.
(a) Which offer should they choose?(5)
Use the box below to show clearly how you get your answer.
9
*P52532A0920* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
10
*P52532A01020*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Jabed is going to follow the hot air balloon. He knows the hot air balloon can land up to 30 km away from Bakewell.
Scale 1 : 500 000
Jabed wants to show, on the map, where the hot air balloon can land.
(b) Use the scale and show accurately on the map where the hot air balloon can land. (4)
11
*P52532A01120* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Use the box below to show clearly how you get your answer.
(Total for Question 4 is 9 marks)
12
*P52532A01220*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
5 The highest point near Bakewell is the top of Kinder Scout at 636 metres.
The hot air balloon flies over Kinder Scout at a height of 4000 feet.
Use 1 metre = 3.3 feet
(a) How much higher is the hot air balloon than the top of Kinder Scout? Show a check of your working. (4)
Use the box below to show clearly how you get your answer.
Use the box below to show your check.
13
*P52532A01320* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
On the day of the flight the hot air balloon lands 25 km from Bakewell.
The flight lasts for 1 hour 24 minutes.
Karen thinks the hot air balloon travelled at an average speed of 20 km/h.
(b) Is Karen correct? Show why you think this. (3)
Use the box below to show clearly how you get your answer.
(Total for Question 5 is 7 marks)
14
*P52532A01420*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
SECTION C: Garden pond
Answer all questions in this section.
Write your answers in the spaces provided.
6 Carlos wants to build a pond in his garden.
He digs a hole for the pond
4.2 m
2.4 m • 4.2 m long • 2.4 m wide • 75 cm deep.
Carlos wants to buy a liner for the pond. He finds this formula to work out the dimensions of the liner he needs.
L = 2d + pW = 2d + t
L = length of liner (m)
W = width of liner (m)
d = depth of pond (m)
p = length of pond (m)
t = width of pond (m)
Carlos sees three different pond liners in a garden centre.
Liner Dimensions
A 5.5 m by 4 m
B 5 m by 5 m
C 6.5 m by 4.5 m
(a) Which liner should Carlos buy? Show why you think this. (3)
15
*P52532A01520* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Use the box below to show clearly how you get your answer.
16
*P52532A01620*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Carlos needs to buy equipment for his garden pond.
Pond equipment
Pond liner £240.99
Water pump £74.98
Water filter £79.99
Cables £18.98
He needs to buy 2 cables and 1 of each of the other items.
Carlos uses a voucher for 15
off the cost of the pond liner.
(b) How much will Carlos pay in total? Show a check of your working. (4)
Use the box below to show clearly how you get your answer.
Use the box below to show your check.
17
*P52532A01720* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Carlos lines the pond and needs to fill it with water.
He works out the pond will hold 5900 litres of water.
Carlos knows
• the rate of flow of water from his garden hose is 10 gallons per minute • 1 gallon is 4.5 litres.
He thinks it will take about 2 hours to put 5900 litres of water into the pond.
(c) Is Carlos correct? Show why you think this. (4)
Use the box below to show clearly how you get your answer.
(Total for Question 6 is 11 marks)
18
*P52532A01820*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
7 Carlos is going to buy some fish for his pond. He finds this formula.
Maximum total length of all fish in pond (cm) = 25pLW 4
where
p = 3.14
L = length of pond (m)
W = width of pond (m)
The pond has length 4.2 m and width 2.4 m.
The garden centre has these fish for sale.
Type of fish Length (cm)
Koi 15
Goldfish 6
Shubunkin 12
Carlos wants
• at least 2 different types of fish • at least 4 of each type of fish he buys • more than 12 fish in total.
Choose some fish for Carlos. (5)
Use the box below to show clearly how you get your answer.
19
*P52532A01920*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
(Total for Question 7 is 5 marks)
TOTAL FOR PAPER IS 48 MARKS
20
*P52532A02020*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
BLANK PAGE
