GCSE 2004
March Series
abc
Mark Scheme
Mathematics B (3302)
Module 3 Tier F
Mark schemes are prepared by the Principal Examiner and considered, together
with the relevant questions, by a panel of subject teachers. This mark scheme
includes any amendments made at the standardisation meeting attended by all
examiners and is the scheme which was used by them in this examination. The
standardisation meeting ensures that the mark scheme covers the candidates’
responses to questions and that every examiner understands and applies it in the
same correct way. As preparation for the standardisation meeting each examiner
analyses a number of candidates’ scripts: alternative answers not already covered
by the mark scheme are discussed at the meeting and legislated for. If, after this
meeting, examiners encounter unusual answers which have not been discussed at
the meeting they are required to refer these to the Principal Examiner.
It must be stressed that a mark scheme is a working document, in many cases
further developed and expanded on the basis of candidates’ reactions to a
particular paper. Assumptions about future mark schemes on the basis of one
year’s document should be avoided; whilst the guiding principles of assessment
remain constant, details will change, depending on the content of a particular
examination paper.
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Mark Scheme
GCSE - Mathematics 3302 (Modular) 33003F – Mar 2004
The following abbreviations are used on the mark scheme:
M
Method marks awarded for a correct method.
A
Accuracy marks awarded when following on from a correct method.
It is not necessary always to see the method. This can be implied.
B
Marks awarded independent of method.
M dep
A method mark which is dependent on a previous method mark being
awarded.
ft
Follow through marks. Marks awarded for correct working following a
mistake in an earlier step.
fw
Further work. Once the correct answer has been seen, further working
may be ignored unless it goes on to contradict the correct answer.
SC
Special Case. Marks awarded for a common misinterpretation which has
some mathematical worth.
oe
Or equivalent.
BOD
Benefit of doubt.
eeoo
Each error or omission.
Copyright © 2004 AQA and its licensors
3
GCSE - Mathematics 3302 (Modular) 33003F – Mar 2004
MODULE 3
Mark Scheme
FOUNDATION TIER
33003F
1(a)
8431
B1
(b)
Eighty or 80
B1
(c)
37 300
B1
(d)
37 000
B1
2(a)
Cost is 3 × 28p, 1 × 46p,
2 × 75p
= 84p, 46p, £1.50
B1
B1
Any of 28p, 46p, 75p
All of 28, 46 and 75
Total is 84p + 46p + £1.50
M1
= £2.80
A1
At least 2 correct
Penalise answers such as £2.8 once
per paper
(b)
Change is £6.26
B1
(c)
Notes: £5
B1 ft
Coins: £1, 20p, 5p, 1p
B1 ft
3(a)
(b)
(c)
4
i)
4
×
5
400
Accept ‘tens’
M1
= 320
A1
ii) 80
B1
iii) 0.8
B1
Accept 0.80
B1
oe fw
300
400
48
Percentage =
×
400
Fraction is
100
M1
= 12%
A1
eg 72 = 49
B2
B1 for any square eg 82 = 64
No words necessary for both marks
Odd times odd = odd
5
6(a)
(b)
4
922
49.1
M1
= £18.78
A1
Accept £18.77
1
0 .5 2
M1
Accept 22
=4
A1
SC1 0.25
1.033605…
M1
For 1.03…
= 1.03
A1
Accept 1.0, 1.033, 1.034
=
1
0.25
B1
Copyright © 2004 AQA and its licensors
Mark Scheme
GCSE - Mathematics 3302 (Modular) 33003F – Mar 2004
33003F
7
Cost of plums is 1.8 × £2.20
M1
= £3.96
A1
Apples cost £3.22
1 kg of apples cost
£3.22
2.3
M1 dep
= £1.40
8
9(a)
(b)
Number of chocolates is
A1
4
×
5
40
M1
= 32
A1
SC1 8 or 8 and 32
28, 20, 4
B2
B1 for two correct, condone 28.00 etc
28 + 20
4
48
=
4
M1
A1
= 12
A1
10(a) 2348
B1
(b)
8423
B2
11(a) 14, 36
(b)
27
(c)
B1 for 8432 or 8243
B1
B1
12(a) 500 – 148 = 352
(b)
Dep on 1st M1
B2
B1 for digits 52
12150
486
M1
A1
One row correct
Other row correct
oe Napier’s bones Box method
12636
A1
243 × 52
21
43 903
86
43
43
0
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M1
Digit 2
M1
Division, carry 4 (ie 90 – 86)
A1
10 × 43 = 430 or 20 × 43 = 860
(not 30 × 43 = 1290)
M1
43 remainder
A1
= 21
A1
5
GCSE - Mathematics 3302 (Modular) 33003F – Mar 2004
Mark Scheme
33003F
13(a)
(b)
2
20
15
20
=
14
15
or
–
1
10
4
20
11
20
Large is 3 times standard
6
oe
Accept 0.1
M1
Either
A1
oe
0.75 – 0.2
= 0.55
M1
Which costs 3 × £1.09
= £3.27 Large is better
A1
Cost is £14.80 ÷ 20
M1
= 74
A1
Cost is 74 pence
B1
16(a) Discount is
(b)
B1
15
×
100
£288
M1
A1
Or standard is
1
3
large
Price per biscuit 9...p and 8...p
Which is £1.05 or £1.06
Large is better
Units mark
Accept £0.74
M1 for 10% = £28.80
M1
= £43.20
A1
Final cost is £244.80
A1
Discount is £288 ÷ 6
M1
= £48
A1
Final cost is £240
A1
1
2
and 5% =
Or
85
×
100
Or
5
×
6
of £28.80
£288
£288
M1A1
M1
Copyright © 2004 AQA and its licensors