AQA GCSE Mathematics – Unit 1 Higher Tier - Mark Scheme Practice Paper Set 4

General Certificate of Secondary Education

Mathematics 4360

43601H

Unit 1 Higher Tier

Mark Scheme

Practice Paper Set 4


Mark Schemes

Principal Examiners have prepared these mark schemes for specimen papers. These mark schemes have not, therefore, been through the normal process of standardising that would take place for live papers.

Further copies of this Mark Scheme are available to download from the AQA Website: www.aqa.org.uk

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Glossary for Mark Schemes

GCSE examinations are marked in such a way as to award positive achievement wherever possible. Thus, for GCSE Mathematics papers, marks are awarded under various categories.

M / Method marks are awarded for a correct method which could lead to a correct answer.
A / Accuracy marks are awarded when following on from a correct method. It is not necessary to always see the method. This can be implied.
B / Marks awarded independent of method.
Q / Mark for Quality of Written Communication (QWC)
M dep / A method mark dependent on a previous method mark being awarded.
B dep / A mark that can only be awarded if a previous independent mark has been awarded.
ft / Follow through marks. Marks awarded following a mistake in an earlier step.
SC / Special case. Marks awarded within the scheme for a common misinterpretation which has some mathematical worth.
oe / Or equivalent. Accept answers that are equivalent.
eg, accept 0.5 as well as

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AQA GCSE Mathematics – Unit 1 Higher Tier - Mark Scheme Practice Paper Set 4

Unit 1 Higher Tier

Q / Answer / Mark / Comments
1(a) / attempts products with one non-zero product correct / M1 / 0 × 0 ( = 0)
1 × 0 ( = 0)
2 × 6 ( = 12)
3 × 8 ( = 24)
4 × 6 ( = 24)
their products added and divided by 20 / M1dep / 60 ÷ 20
3 / A1 / answer only 3 marks (symmetry)
1(b) / Ticks lunch – more people in queue (on average) / B1ft / oe
1(c) / 230 × 0.95 or 230 × 95 / M1 / digits 2185
218.50 / Q1
1(d) / Suitable question e.g If we opened 30 minutes earlier would you visit then. / B1 / testing whether idea popular
Appropriate response section for their question
e.g. Yes / No / B1ft
2(a) / 20 and 40 ( and no others) / B2 / B1 20 or 40
2(b) / their value ÷ 3 ( = integer) / M1
their integer × 2 + their value / M1dep
their correct answer / A1 / any multiple of 5 greater than 25
3 / attempts to show some outcomes / M1
in table or otherwise shows 12 correct outcomes / M1
4 and 5 / A1
Q / Answer / Mark / Comments
4(a) / / M1
/ A1 / oe eg
SC1 420 seen
4(b)(i) / / M1 / oe eg
41.66… and No / A1 / accept 41.67 or better
4(b)(ii) / 330 seen / B1
750 seen / B1
/ M1 / oe
44 and (still) No / A1
Q / Answer / Mark / Comments
5(a) / plots correctly remaining 4 points / B2 / B1 3 correct plots
5(b) / No, there seems to be little or no correlation / B1 / oe
5(c) / the medians (averages) are the same / B1 / oe
the more expensive magazines have a greater spread of page numbers / B1 / oe (reference IQR when available not range at this grade)
5(d)(i) / 0 / B1
5(d)(ii) / sight of 0.25 / B1
other probability 0.1 prob 0.15 / B1
ab + ba / M1 / any 2 probabilities
their answer / A1ft / after at least B1M1
6(a) / 3.1536 × / B1
6(b) / 3.1536 × ×100
(= 3.1536 × ) / M1
their 3.1536 ×
+ 25 × 24 × 60 × 60 / M1
3 155 760 000 / A1
3.16 × / B1ft
7(a) / 0.1 / B1 / oe
7(b) / remaining relative frequencies all correct / B2 / 0.15, 0.133…, 0.225, 0.22
their plots and joining / Q1 / strand iii
7(c) / He was right because best estimate is above 20% / B1 / oe
Q / Answer / Mark / Comments
8(a) / attempts frequency density with at least one correct / M1 / 20, 45, 17, 4
all correct / A1
bars drawn correctly / B1ft / only award if M1 awarded
8(b)(i) / / B1
/ M1
or [0.0649, 0.0650] / A1 / oe
8(b)(ii) / Unrealistic as some runners much better than others / B1 / oe
8(c) / (240 ÷ 12 =) 20 as sampling multiple or (12 ÷ 240 = ) as sampling fraction / M1
22, 9 and 4 or 23, 8 and 4 / A2 / A1 two correct values

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