Edexcel Awards Mathematics Sample Assessment Materials

Transcription

Edexcel Awards Mathematics Sample Assessment Materials
Edexcel Awards
Mathematics
Sample Assessment Materials
Edexcel Level 1 Award in Number and Measure
(ANM10)
Edexcel Level 2 Award in Number and Measure
(ANM20)
For first teaching from September 2011
Issue 2 - September 2012
Pearson Education Limited is a registered company number 872828 with its registered office at Edinburgh Gate, Harlow, Essex CM20 2JE
Contents
General Marking guidance .................................................................................. 3
Level 1............................................................................................................
Section A (Calculator) ......................................................................................... 5
Section A (Calculator) Mark scheme....................................................................... 15
Section B (Non-Calculator).................................................................................. 19
Section B (Non-Calculator) Mark scheme ................................................................. 27
Level 2............................................................................................................
Section A (Calculator) ....................................................................................... 29
Section A (Calculator) Mark scheme....................................................................... 39
Section B (Non-Calculator).................................................................................. 43
Section B (Non-Calculator) Mark scheme ................................................................. 49
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
NOTES ON MARKING PRINCIPLES
1
Types of mark
M marks: method marks
A marks: accuracy marks
B marks: unconditional accuracy marks (independent of M marks)
2
Abbreviations
cao – correct answer only
isw – ignore subsequent working
oe – or equivalent (and appropriate)
indep - independent
3
No working
If no working is shown then correct answers normally score full marks, unless indicated
in the mark scheme.
If no working is shown then incorrect (even though nearly correct) answers score no
marks.
4
With working
If there is a wrong answer indicated on the answer line always check the working in the
body of the script (and on any diagrams), and award any marks appropriate from the
mark scheme.
If working is crossed out and still legible, then it should be given any appropriate
marks, as long as it has not been replaced by alternative work.
If it is clear from the working that the “correct” answer has been obtained from
incorrect working, award 0 marks.
If there is no answer on the answer line then check the working for an obvious answer.
Any case of suspected misread loses A (and B) marks on that part, but can gain the M
marks.
If there is a choice of methods shown, then no marks should be awarded, unless the
answer on the answer line makes clear the method that has been used.
5
Follow through marks
Follow through marks which involve a single stage calculation can be awarded without
working since you can check the answer yourself, but if ambiguous do not award.
Follow through marks which involve more than one stage of calculation can only be
awarded on sight of the relevant working, even if it appears obvious that there is only
one way you could get the answer given.
ft – follow through
SC: special case
dep – dependent
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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4
6
Ignoring subsequent work
It is appropriate to ignore subsequent work when the additional work does not change
the answer in a way that is inappropriate for the question: e.g. incorrect cancelling of a
fraction that would otherwise be correct
It is not appropriate to ignore subsequent work when the additional work essentially
makes the answer incorrect e.g. algebra.
Transcription errors occur when candidates present a correct answer in working, and
write it incorrectly on the answer line; mark the correct answer.
7
Parts of questions
Unless allowed by the mark scheme, the marks allocated to one part of the question
CANNOT be awarded in another.
8
Use of ranges for answers
If an answer is within a range this is inclusive, unless otherwise stated.
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Write your name here
Surname
Other names
Centre Number
Candidate Number
Edexcel Award
Number
andinMeasure
Proficiency
Number and Measure
Level 1
Section A (Calculator)
Sample Assessment Material
Time: 1 hour
Paper Reference
ANM10/1A
You must have:
Ruler graduated in centimetres and millimetres, protractor, pen,
HB pencil, eraser.
Total Marks
Instructions
black ink or ball-point pen.
• Use
all questions.
• Answer
Answer
the
in the spaces provided
• – there may bequestions
more space than you need.
Information
total mark for this section is 50.
• The
marks for each question are shown in brackets
• The
– use this as a guide as to how much time to spend on each question.
Advice
each question carefully before you start to answer it.
• Read
an eye on the time.
• Keep
Try
to
every question.
• Checkanswer
• your answers if you have time at the end.
S41232A
©2011 Pearson Education Ltd.
5/
*S41232A0134*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Turn over
5
Section A
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1 Mr White recorded the number of students who were absent each day for one week.
The dual bar chart shows this information for five days last week.
Key
14
Boys
Number of students
12
Girls
10
8
6
4
2
0
Monday
Tuesday
Wednesday
Thursday
Friday
Days of the week
(a) How many boys were absent on Monday?
....................................... . . . . . . . .
(1)
boys
(b) How many girls were absent on Wednesday?
....................................... . . . . . . . .
(1)
girls
(c) Boys were absent for more days in this week than girls.
How many more days?
....................................... . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 1 is 5 marks)
2
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
2 Here is some information about six coins.
Coin
Country
Shape
Weight (g)
20 pence
United Kingdom
7-sided
5
500 yen
Japan
circular
7
Switzerland
circular
3
1 dollar
Canada
11-sided
7
2 rupee
India
11-sided
6
5 cent
United States
circular
5
10 centime
(a) Which coin came from Switzerland?
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Which coin has the same weight as the 500 yen coin?
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 2 is 2 marks)
3 Gary bought some items from a DIY shop.
He bought
3 paintbrushes at
2 tins of paint at
2 dustsheets at
£2.50 each
£9.95 each
£2.30 each
How much change should he get from £40?
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 5 marks)
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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7
Turn over
4 This distance chart gives the distances, in miles, between each of these cities.
York
24
Leeds
102
74
Liverpool
71
44
34
Manchester
57
38
79
39
Sheffield
(a) Write down the distance between Manchester and York.
....................................... . . . . . .
(1)
miles
Kevin delivered parcels.
He started in Leeds.
He delivered parcels in York, then in Liverpool and then in Sheffield.
He then returned to Leeds.
(b) Work out the total number of miles Kevin drove between cities.
....................................... . . . . . .
(3)
(Total for Question 4 is 4 marks)
4
8
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
miles
5 Work out the volume of this cuboid.
4 cm
6 cm
8 cm
....................................... . . . . . . . . . . .
cm3
(Total for Question 5 is 2 marks)
6 Here is the line AB.
A
B
(a) Measure the length of the line AB.
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(b) At A, draw an angle of 37°
(1)
(Total for Question 6 is 3 marks)
*S41232A0534*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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9
Turn over
7 Here is part of a calendar for March 2011
March 2011
Sun
Mon
Tues
Wed
Thur
Fri
Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
(a) What day of the week is the 9th March?
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) What is the date two weeks after the 19th March?
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 7 is 3 marks)
8 Here is a list of numbers
2
5
9
12
13
20
24
36
From the list of numbers
(a) write down two multiples of 3
.............................
, ....... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) write down two prime numbers
.............................
, ....... . . . . . . . . . . . . . . . . . . . . .
(1)
(c) find two common factors of 24 and 36
.............................
, ....... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 3 marks)
6
10
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
9 Here is part of the train timetable from Sudbury to London.
Sudbury to London
Sudbury
05 30
06 30
07 17
08 00
08 55
10 26
11 26
Marks Tey
05 49
06 49
07 36
08 19
09 14
10 45
11 45
London
06 48
07 50
08 40
09 21
10 14
11 45
12 45
(a) Which train should you catch from Sudbury to arrive in London for 9 am?
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) How long does the 08 55 train take to get from Sudbury to London?
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 9 is 3 marks)
10 (a) Write 12 560 correct to the nearest thousand.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 9.749 correct to one decimal place.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 10 is 2 marks)
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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11
Turn over
11 A bill was £85 plus VAT at 20%
Complete the bill below.
Bill
Cost of Work
£85.00
+ VAT at 20%
£ ...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Total £ ...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 3 marks)
12
–20
–10
0
10
20
30
°C
(a) Write down the reading on the thermometer.
....................................... . . . . . . . . . . . . .
(1)
–20
–10
0
10
20
30
°C
(b) On the thermometer show a reading of –6°C
(1)
(Total for Question 12 is 2 marks)
8
12
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
°C
13 (a) Change 650 mm into cm.
....................................... . . . . . . . . . . . .
(1)
cm
(b) Change 3.6 m into cm.
....................................... . . . . . . . . . . . .
(1)
cm
(Total for Question 13 is 2 marks)
14 Hajra has a mobile phone.
She has to pay 15p for every minute of calls.
She has to pay 10p for every text she sends.
Last month Hajra:
•
•
madeatotalof150minutesofcalls,
sent300texts.
Work out how much Hajra had to pay last month.
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 4 marks)
*S41232A0934*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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13
Turn over
15 Here is a shape made from rectangles.
4.5 m
1.8 m
3.2 m
2.8 m
(a) Work out the perimeter of the shape.
....................................... . . . . . . . . . . . . . . .
(3)
m
(b) Work out the area of the shape.
....................................... . . . . . . . . . . . . .
(4)
(Total for Question 15 is 7 marks)
ToTAL For SeCTion A iS 50 MArkS
10
14
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UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
m2
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
15
6
5
4
3
2
1
(b)
(a)
(b)
(a)
4×8×6
24 + 102 + 79 + 38
40 – 32
Correct
length with
units
Correct
angle
192
71
243
1 dollar
8
7.50
19.90
4.60
32.00
(b)
3 × 2.50 =
2 × 9.95 =
2 × 2.30 =
10 centime
(a)
Boys 14 + 11 + 8 + 9 + 9 = 51
Girls 12 + 12 + 5 + 7 + 6 = 42
51 – 42
5
9
(b)
(c)
1
14
1
2
2
1
3
1
5
1
1
3
Mark
Answer
Working
(a)
Question
PAPER: ANM10/1A
Level 1 Section
A (ANM10/1A) mark scheme
Section
A
B1 for drawing correct angle tolerance 2° use overlay
B1 accept Canada
M1 for one of 3 × 2.50 or 2 × 9.95 or 2 × 2.30
M1 for all 3 of 3 × 2.50 and 2 × 9.95 and 2 × 2.30
A1 for their correct total or £32
M1 for 40 – “32”
A1 cao
B1 cao
M1 for attempt to find at least 3 distances
M1 for adding their distances
A1 cao
M1 for 4 × 8 × 6
A1 cao
B1 for writing correct length tolerance ± 2mm
B1 for correct associated units
B1 cao
M1 for attempt to add the boys absences or the girls absences
M1 for attempt to subtract the girls absences from the boys
A1 cao
B1 accept 3 g
B1 cao
Notes
16
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
13
12
11
360
(b)
(a)
(b)
85 + 17
14
Correct
marking
65
(a)
9.7
102
(b)
20
× 85 = 17
100
13 000
(a)
10
9
9,12, 24, 36
2, 5, 13
2, 12
07 17
1 h 19 min
OR
79 min
Answer
Wednesday
(Wed)
2nd April
(a)
(b)
(c)
(a)
(b)
10 14 – 08 55
Or
08 55 to 09 00 = 5 min
09 00 to 10 00 = 1 hour
10 00 to 10 14 = 14 min
Working
8
(b)
PAPER: ANM10/1A
Question
7
(a)
Section A
1
1
1
1
1
3
1
1
1
1
1
2
2
1
Mark
20
× 85 or sight of 17 or 8.5 + 8.5
100
B1 cao
B1 Accept 65.0
M1 for 85 + “17”
A1 cao
B1 cao
B1 cao
M1 for
B1 cao
B1 cao
B2 for 2nd April
(B1 for April or 2nd or Saturday or 33rd March)
B1 for any 2 from 9, 12, 24 or 36
B1 for any 2 from 2, 5 or 13
B1 cao
B1 accept 05 30 or 06 30
M1 for attempt to subtract 08 55 from 10 14 with 19 min
seen or 1 hour seen or attempt to count on from
08 55 to 10 14
A1 cao
B1 cao
Notes
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
17
4.5 + 1.8 + 1.7 + 1.4 + 2.8 + 3.2 =
3.2 × 4.5 = 14.4 m²
14.4 – 1.7 × 1.4 =
Or
3.2 × 2.8 = 8.96
1.7 × 1.8 = 3.06
(a)
(b)
15
£22.50
£30
150 × 0.15 =
300 × 0.10 =
Working
14
Question
PAPER: ANM10/1A
Section A
12.02
15.4
£52.50
Answer
4
3
4
Mark
M1 for attempt to find cost of number of texts or
number of minutes or sight of 150 × 15p or
300 × 10p
M1 for correct totals of texts and calls seen, sight of
£22.50 or £30 or 2250 or 3000
M1 for “22.50” + “30”
A1 cao
M1 for finding missing sides or 4.5 – 2.8 or 3.2 – 1.8 or
sight of 1.7 or 1.4
M1 for attempt to add their sides
A1 cao
M1 for attempt to split the shape into 2 rectangles oe
M1 for 3.2 × 4.5 or 1.7 × 1.4 or 3.2 × 2.8 or 1.7 × 1.8
M1 for 3.2 × 4.5 – 1.7 × 1.4 or 3.2 × 2.8 + 1.7 × 1.8
A1 for 12.02 cao
Notes
18
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Write your name here
Surname
Other names
Centre Number
Candidate Number
Edexcel Award
Number
andinMeasure
Proficiency
Number and Measure
Level 1
Section B (Non–Calculator)
Sample Assessment Material
Time: 1 hour
Paper Reference
ANM10/1B
You must have:
Ruler graduated in centimetres and millimetres, protractor, pen,
HB pencil, eraser.
Total Marks
Instructions
black ink or ball-point pen.
• Use
all questions.
• Answer
Answer
the
in the spaces provided
• – there may bequestions
more space than you need.
Information
total mark for this section is 30.
• The
marks for each question are shown in brackets
• The
– use this as a guide as to how much time to spend on each question.
Advice
each question carefully before you start to answer it.
• Read
an eye on the time.
• Keep
Try
to
every question.
• Checkanswer
• your answers if you have time at the end.
S41232A
©2011 Pearson Education Ltd.
5/
*S41232A1134*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Turn over
19
Section B
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must noT use a calculator for this section.
1 Add 256 millimetres to 39 millimetres.
.............................
millimetres
(Total for Question 1 is 2 marks)
2 (a) Work out
16 × 7
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out
256 ÷ 8
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 2 is 4 marks)
12
20
*S41232A01234*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
3 Work out 10% of £80
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Here is a rectangle drawn on a grid of centimetre squares.
Find the area of the rectangle.
Write the unit for your answer.
................................................................................ . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
5 (a) Write the number five thousand four hundred and six in figures.
......................................................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 4763 correct to the nearest ten.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 2 marks)
*S41232A01334*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
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21
Turn over
6
5
–2
2
–6
3
(a) Write the numbers from the box in the correct places on the number line.
Some have been done for you.
–2
0
2
(1)
Use your number line to:
(b) Write down the smallest number from the box.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Work out 5 – 7
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 3 marks)
14
22
*S41232A01434*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
7 (a) Write
3
as a decimal.
4
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 0.65 as a percentage.
....................................... . . . . . . . . . . . . . . .
(1)
%
(c) Write 0.6 as a fraction.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(d) Work out
1 5
+
8 8
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 7 is 4 marks)
8 Work out
3
of 20
5
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 2 marks)
9 Work out
£10 – £5.85
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 2 marks)
*S41232A01534*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
15
23
Turn over
10 Find an equivalent fraction to
16
24
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 1 mark)
11
It is afternoon.
Write down the time shown on the clock.
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
16
24
*S41232A01634*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
12 (a) Write these numbers in order of size.
Start with the smallest number.
27
72
9
29
82
80
................................................................................................................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write these numbers in order of size.
Start with the smallest number.
6.7
7.6
0.77
9.7
0.09
8.0
................................................................................................................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Write these numbers in order of size.
Start with the smallest number.
25%
0.3
1
5
................................................................................................................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 12 is 4 marks)
ToTAL For SeCTion B iS 30 MArkS
ToTAL For LeveL 1 iS 80 MArkS
*S41232A01734*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
17
25
BLAnk PAGe
18
26
*S41232A01834*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
27
6
5
(b)
(c)
(a)
(a)
(b)
7×4
4
32
8 2516
16
7×
10
× 80
100
(b)
(a)
256
39 +
3
2
1
PAPER: ANM10/1B
Question
Working
Answer
5406
4760
Correct
number line
–6
–2
28 cm²
8
32
112
295 (mm)
Section
B
Level
1 Section
B (ANM10/1B) mark scheme
1
1
1
1
1
2
2
2
2
2
Mark
10
× 80 or 80 ÷ 10
100
B1 cao
B1 cao
B1 cao
A1 cao
B1 for 28
B1 for cm²
B1 cao
B1 cao
M1 for
M1 for using correct columns and sight of 5 in units
answer OR 256 + 40 – 1
A1 cao
M1 for 6 × 7 or sight of 42 or 7 lots of 16 with attempt
to add OR 8 × 7 × 2 oe method
A1 cao
M1 for 25 ÷ 8 or sight of 3 in quotient with 1 carried or
attempt to subtract 8 or 80 from 256
A1 for 32 cao
Notes
28
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
12
1
2
9, 27, 29, 72, 80, 82
0.09, 0.77, 6.7, 7.6, 8.0, 9.7
1
, 25%, 0.3
5
(b)
(c)
1
2
1
2
2
1
1
1
1
Mark
(a)
4 50 pm oe
11
4.15
12
6
10
6
8
0.75
65
Answer
2
3
10 – 5.85
9
Working
10
3
× 20
5
(d)
(a)
(b)
(c)
8
7
Question
PAPER: ANM10/1B
Section B
6
oe
10
2
8
accept
oe
3
12
B1 cao
M1 attempting to convert all to decimals, % or fractions
A1 for correct order
B2 for 4 50 pm or 16 50 or ten to five in the afternoon
(B1 for 4 50 or ten to five)
B1 cao
B1 for
M1 for 10 – 5.85 in columns or for counting on from 5.85
or sight of 15p
A1 cao
M1 for 20 ÷ 5 or 20 × 3
A1 for 12
B1 oe
B1 for
B1 cao
B1 cao
Notes
Write your name here
Surname
Other names
Centre Number
Candidate Number
Edexcel Award
Number
andinMeasure
Proficiency
Number and Measure
Level 2
Section A (Calculator)
Sample Assessment Material
Time: 1 hour
Paper Reference
ANM20/2A
You must have:
Ruler graduated in centimetres and millimetres, protractor, pen,
HB pencil, eraser.
Total Marks
Instructions
black ink or ball-point pen.
• Use
all questions.
• Answer
Answer
the
in the spaces provided
• – there may bequestions
more space than you need.
Information
total mark for this section is 50.
• The
marks for each question are shown in brackets
• The
– use this as a guide as to how much time to spend on each question.
Advice
each question carefully before you start to answer it.
• Read
an eye on the time.
• Keep
Try
to
every question.
• Checkanswer
• your answers if you have time at the end.
S41232A
©2011 Pearson Education Ltd.
5/
*S41232A1934*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Turn over
29
Section A
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1 (a)
4
5
6
7
Write down the number marked with the arrow.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b)
12
13
14
15
Write down the number marked with the arrow.
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 1 is 2 marks)
2 A flat screen TV set normally costs £750
This cost is reduced by 15% in a sale.
Find the cost of the TV set in the sale.
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 3 marks)
20
30
*S41232A02034*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
3 This table shows the numbers of each type of animal on Bill’s farm.
Type of animal
Frequency
Hens
40
Cows
60
Sheep
45
Goats
10
Geese
25
The number of sheep are shown on the incomplete pie chart.
Sheep
Complete the pie chart.
(Total for Question 3 is 4 marks)
*S41232A02134*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
21
31
Turn over
4 (a) Find the value of
2.52
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b)Findthevalueof√1.69
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Find the value of 44 × 43
Give your answer as an ordinary number.
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 4 is 4 marks)
5 (a) Write 45 seconds as a fraction of 5 minutes.
Give your fraction in its simplest form.
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out 75 centimetres as a percentage of 6 metres.
....................................... . . . . . . . . . . . . . . .
(2)
(Total for Question 5 is 4 marks)
22
32
*S41232A02234*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
%
6
6 cm
A circle has a radius of 6 cm.
Work out the circumference of the circle.
Write your answer to 2 decimal places.
....................................... . . . . . . . . . . . .
cm
(Total for Question 6 is 3 marks)
7 Find the Highest Common Factor (HCF) of 45 and 120
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 3 marks)
*S41232A02334*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
23
33
Turn over
8 Change 120 miles into kilometres.
....................................... . . . . . . . . . . . .
km
(Total for Question 8 is 3 marks)
9 The exchange rate between pounds (£) and euros (€) is
£1 = €1.20 one summer.
(a) Change £150 into euros (€).
€
................................... . . . . . . . . . . . . . . . . . . . .
£
................................... . . . . . . . . . . . . . . . . . . . .
(2)
(b) Change €360 into pounds (£).
(2)
(Total for Question 9 is 4 marks)
24
34
*S41232A02434*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
10 Last week Ken worked for 40 hours at £6.80 per hour.
He also worked another 6 hours overtime.
Overtime is paid at 1.5 × his hourly rate.
He paid National Insurance of £12.50
and Income tax of £28.65
Work out the total of Ken’s pay for this week.
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 4 marks)
3
4
or
?
4
5
Show working to explain your answer.
11 Which is the larger fraction,
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
*S41232A02534*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
25
35
Turn over
12 £500 is invested for 3 years at 4% Simple Interest.
Work out the total amount of interest paid at the end of 3 years.
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 3 marks)
13
11 cm
8 cm
5 cm
15 cm
Find the area of the shaded shape.
....................................... . . . . . . . . . .
(Total for Question 13 is 4 marks)
26
36
*S41232A02634*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
cm2
14 Ann, Bob and Cath shared some money in the ratio 4 : 6 : 5
Bob got £36
How much money was shared between them?
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 3 marks)
15 Here is a triangular prism.
21 cm
20 cm
15 cm
Work out the volume of the prism
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 15 is 4 marks)
ToTAL For SeCTion A iS 50 MArkS
*S41232A02734*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
27
37
Turn over
BLAnk PAGe
28
38
*S41232A02834*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
39
5
4
3
2
1
750 – 112.50
5.7
3
20
12.5
45
5  60
75
100
6 100
(a)
(b)
2
2
2
16384
(c)
1
1.3
1
4
3
1
1
Mark
(b)
Correct pie
chart
637.50
12.8
Answer
6.25
15
 750 = 112.50
100
Working
(a)
(b)
(a)
Question
PAPER: ANM20/2A
Level 2 Section
A (ANM20/2A) mark scheme
Section
A
15
 750 or sight of 75 + 37.50 or 750 × 0.15
100
A1 cao
M1 for writing
A1 cao
M1 for writing
75
75
or
6 100
600
45
45
or
5  60
300
M1 for using index laws or sight of 47 or 256 or 64
A1 cao
B1 cao
B1 cao
M1 for 750 – “112.50”
A1 for 637.50
M1 for 360 ÷ total of all animals or 360 ÷ 180 or 90 ÷ 45 or
multiplying each frequency by 2
A1 for drawing one sector correctly tolerance ±2°
A1 for drawing all sectors correctly tolerance ±2°
B1 for consistent labelling
M1 for
B1 cao
B1 cao
Notes
40
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
10
9
8
7
3×3×5
360 ÷ 1.20
(a)
(b)
40 × £6.80 = 272
6 × £10.20 = 61.20
333.20
12.50 + 28.65 = £41.15
333.20 – 41.15
5 miles = 8 km
120 ÷ 5 = 24
24 × 8 = 192
150 × 1.20
120 = 2 × 2 × 2 × 3 × 5
45 =
PAPER: ANM20/2A
Question
Working
6
C = πD
3.14 × 2 × 6
Level 2 Section
A (ANM20/2A) mark scheme
Section
A
292.05
300
180
192
15
Answer
37.77
4
2
2
3
3
Mark
3
Notes
M1 for C = πD or sight of 2 × 6
M1 for π × 2 × 6
A1 for answer in range 37.68.. to 37.7… accept 12π
M1 for attempt to write 45 or 120 as a product of
primes using factor trees or decomposition with at least
2 factors correct
M1 for writing one of the numbers correctly as a
product of prime factors
A1 cao
M1 for 120 ÷ 5 or 120 × 8 or sight of 5 miles = 8 km
M1 for “24” × 8 or “960” ÷ 5
A1 cao
M1 for 150 × 1.20
A1 for 180 cao
M1 for 360 ÷ 1.20
A1 for 300 cao
M1 for 40 × 6.80 or 12.50 + 28.65
M1 for 6 × 6.80 × 1.5 oe
M1 for “333.20” – “41.15”
A1 cao
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
41
13
12
11
Question
PAPER: ANM20/2A
2
11 × 8 + 5 × 4 + 1 × 4 × 3
120 – 6
Or
2
15 × 8 – 1 × 4 × 3
20 × 3
1 1
4
3
<
so
>
5 4
5
4
4
= 20
500 
100
OR
4
of ‘10’ = ‘8’ (eg),
5
3
of ‘10’ = ‘7.5’ (eg)
4
OR
0.75, 0.8 seen
OR
75%, 80%
OR
4 16 3
15
=
,
=
5
20 4
20
Working
Level 2 Section
A (ANM20/2A) mark scheme
Section
A
114
60
4
5
Answer
4
3
2
Mark
4
100
A1 cao
2
1
M1 for 15 × 8 –
× 4 × 3 or 11 × 8 + 5 × 4 + 1 × 4 × 3
2
2
M1 for 15 × 8 or 1 × 4 × 3 or 11 × 8 or 5 × 4
M1 for “20” × 3
A1 cao
M1 for splitting shape into rectangles and triangles
M1 for 500 
M1 for converting both to decimals, percentages, using
quantities or common denominator
A1 for cao
Notes
42
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
15
14
Question
PAPER: ANM20/2A
1 × 20 × 21 × 15
2
6 parts = £36
1 part = £36 ÷ 6 = £6
4 + 6 + 5 = 15
15 parts = £6 × 15 =
Or
4 × 6 + 36 + 5 × 6 =
Working
Level 2 Section
A (ANM20/2A) mark scheme
Section
A
3150 cm³
90
Answer
4
3
Mark
M1 for “210” × 15 accept 420 × 15
A1 cao for 3150
B1 for cm³
2
of 1 × 20 × 21 or 210
M1 for attempt to find the area of the triangle or sight
M1 for 36 ÷ 6 = £6
M1 for (4 + 6 + 5) × 6 or 4 × 6 + 35 + 5 × 6
A1 for 90
Notes
Write your name here
Surname
Other names
Centre Number
Candidate Number
Edexcel Award
Number
andinMeasure
Proficiency
Number and Measure
Level 2
Section B (Non – Calculator)
Sample Assessment Material
Time: 30 minutes
Paper Reference
ANM20/2B
You must have:
Ruler graduated in centimetres and millimetres, protractor, pen,
HB pencil, eraser.
Total Marks
Instructions
black ink or ball-point pen.
• Use
all questions.
• Answer
Answer
the
in the spaces provided
• – there may bequestions
more space than you need.
Information
total mark for this section is 30.
• The
marks for each question are shown in brackets
• The
– use this as a guide as to how much time to spend on each question.
Advice
each question carefully before you start to answer it.
• Read
an eye on the time.
• Keep
Try
to
every question.
• Checkanswer
• your answers if you have time at the end.
S41232A
©2011 Pearson Education Ltd.
5/
*S41233A2934*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
Turn over
43
Section B
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must noT use a calculator for this section.
1 Work out
3689 + 56 298 – 12 389
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
2 (a) Work out
4.35 × 7
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out
125.6 ÷ 8
....................................... . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 2 is 4 marks)
30
44
*S41232A03034*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
3 Work out
35% of £80
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 2 marks)
4 Estimate the answer to
49.5 × 105
21.3
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 3 marks)
5 Three identical pens cost £2.40
How much will seven of these pens cost?
£
................................... . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 3 marks)
*S41232A03134*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
31
45
Turn over
6 (a) Work out
–12 – – 4.1
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out
–2.8 + –7.2
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Work out
5 × –3
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(d) Work out
−20
−5
....................................... . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 6 is 4 marks)
3
2
2 +3
4
3
Give your answer as a mixed number in its simplest form.
7 (a) Work out
....................................... . . . . . . . . . . . . . . . . . . . . .
(3)
7
3
1 ×1
8
4
Give your answer as a mixed number in its simplest form.
(b) Work out
....................................... . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 7 is 6 marks)
32
46
*S41232A03234*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
8 Divide £24 in the ratio 5 : 3
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 3 marks)
9 Work out
3.45 × 2.7
....................................... . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
ToTAL For SeCTion B iS 30 MArkS
ToTAL For LeveL 2 iS 80 MArkS
ToTAL For PAPer iS 160 MArkS
*S41232A03334*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
33
47
BLAnk PAGe
34
48
*S41232A03434*
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
49
3
(b)
Working
35
 80
100
OR
125.6 ÷ 2 = 62.8
62.8 ÷ 2 = 31.4
31.4 ÷ 2 = 15.7
OR
Chunking:
125.6 – 80 (8 × 10) = 45.6
45.6 – 40 (8 × 10) = 5.6
5.6 = 8 × 7 ÷ 10 = (8 × 0.7)
15.7
8 125.6
435
7 ×
3045
2
(a)
3 689
56 298 +
59 987
12 389 –
1
Question
PAPER: ANM20/2B
Section
B
Level
2 Section
B (ANM20/2B) mark scheme
28
15.7
30.45
47 598
Answer
2
2
2
2
Mark
35
 80 or sight of 8 + 8 + 8 + 4
100
A1 for 28
M1 for
M1 for attempt to divide 125.6 by 8 or 1256 by 80 or
sight of 15.7
A1 cao
M1 for attempt to multiply 435 by 7 or sight of 3045
A1 for 30.45
M1 for either attempting to add the two numbers or
subtracting 12 389
A1 cao
Notes
50
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
8
7
(b)
(a)
(b)
(c)
(d)
(a)
105
9
= 3
32
32
7
3 15 7
1 =

8
4
8
4
24 ÷ (5 + 3) = 3
5×3=
3×3=
=
1
2+3=5
9
8
5
= 5 17

12 12
12
240 ÷ 3 = 80
80 × 7 =
5
6
50  100
5000
=
20
20
Working
4
PAPER: ANM20/2B
Question
9
32
5
12
£15 : £9
3
6
–7.9
–10
–15
4
£5.60
250
Answer
Section
B
Level
2 Section
B (ANM20/2B) mark scheme
3
3
1
1
1
1
3
3
3
Mark
15 11

8
4
105
32 ”
A1 cao
M1 for attempt to divide 24 by sum of ratio parts or sight of 3
M1 for “3” × 5 or “3” × 3
A1 for 15 and 9
M1 ft for multiplying to get “
M1 for writing
M1 for writing 2 numbers out of 50, 100 or 20 OR
105 ÷ 21 = 5
M1 for multiplying to get 5000 or cancelling 100 by 20
OR 5 × 50
A1 cao
M1 for 240 ÷ 3 or 240 × 7
M1 for “80” × 7 or “1680” ÷ 3
A1 for 5.60 cao
B1 cao
B1 cao
B1 cao
B1 cao
M1 for dealing with whole numbers or writing at least one
fraction correctly with a common denominator
M1 for writing both fractions correctly with a common
17
denominator or sight of
12
5
A1 cao for 6
12
Notes
UG029446 – Sample Assessment Materials – Edexcel Level 1 and Level 2 Awards in Number and Measure
© Pearson Education Limited 2012
51
9
PAPER: ANM20/2B
Question
×
20
7
9
2
345
27 ×
2415
6900
9315
8
1
300
6000
2100
1
3
8
6
2
4
3
5
5
0
5
40
800
280
3
1
7
2
×
5
100
35
10 × 345 = 3450
10 × 345 = 3450
10 × 345 = 3450
7 × 345 = 2415
9315
Working
9.315
Answer
Section
B
Level
2 Section
B (ANM20/2B) mark scheme
3
Mark
A1 for 9.315
M1 for sight of complete partitioning method. Condone one
multiplication error, final addition not necessary
Or for complete grid, condone one multiplication error,
addition not necessary
M1 for attempt to multiply 345 by 27 which may be from an
incomplete method of multiplication
Notes