Cambridge O Level

Cambridge O Level

MATHEMATICS (SYLLABUS D) Paper 2 MARK SCHEME Maximum Mark: 100

4024/22 May/June 2021

Published

This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners' meeting before marking began, which would have considered the acceptability of alternative answers.

Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for Teachers.

Cambridge International will not enter into discussions about these mark schemes.

Cambridge International is publishing the mark schemes for the May/June 2021 series for most Cambridge IGCSETM, Cambridge International A and AS Level components and some Cambridge O Level components.

? UCLES 2021

This document consists of 8 printed pages.

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4024/22

Cambridge O Level ? Mark Scheme PUBLISHED

May/June 2021

Generic Marking Principles

These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptors for a question. Each question paper and mark scheme will also comply with these marking principles.

GENERIC MARKING PRINCIPLE 1:

Marks must be awarded in line with:

? the specific content of the mark scheme or the generic level descriptors for the question ? the specific skills defined in the mark scheme or in the generic level descriptors for the question ? the standard of response required by a candidate as exemplified by the standardisation scripts.

GENERIC MARKING PRINCIPLE 2:

Marks awarded are always whole marks (not half marks, or other fractions).

GENERIC MARKING PRINCIPLE 3:

Marks must be awarded positively:

? marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate

? marks are awarded when candidates clearly demonstrate what they know and can do ? marks are not deducted for errors ? marks are not deducted for omissions ? answers should only be judged on the quality of spelling, punctuation and grammar when these features

are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be unambiguous.

GENERIC MARKING PRINCIPLE 4:

Rules must be applied consistently, e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors.

GENERIC MARKING PRINCIPLE 5:

Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen).

GENERIC MARKING PRINCIPLE 6:

Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in mind.

? UCLES 2021

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4024/22

Cambridge O Level ? Mark Scheme PUBLISHED

May/June 2021

Mathematics Specific Marking Principles

1 Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required then no marks will be awarded for a scale drawing.

2 Unless specified in the question, answers may be given as fractions, decimals or in standard form. Ignore superfluous zeros, provided that the degree of accuracy is not affected.

3 Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points.

4 Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw).

5 Where a candidate has misread a number in the question and used that value consistently throughout, provided that number does not alter the difficulty or the method required, award all marks earned and deduct just 1 mark for the misread.

6 Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate's intent clear.

? UCLES 2021

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Cambridge O Level ? Mark Scheme PUBLISHED

Abbreviations

cao dep FT isw oe SC nfww soi

correct answer only dependent follow through after error ignore subsequent working or equivalent Special Case not from wrong working seen or implied

May/June 2021

Question

Answer

Marks

Partial Marks

1(a) 66.3[0]

2

M1

for

78

?

15 100

?

78

oe

or B1 for 11.7[0]

1(b) 30.6[0]

2

M1 for 100 ? 0.85 ? 58.99 or

58.99 0.85

1(c) Pietro and 5.48 or 5.49

4

M1

for

3500

+

3500 ? 2.1? 4 100

oe

AND

M2

for

3500

1

+

2 100

4

oe

or

M1

for

35001 +

2 100

k

oe where k > 1

or

after

M0,

SC1

for

3500

1

+

2 100

4

+

3500

2(a) Complete scatter diagram

2 B1 for 3 or 4 correct plots

2(b) Temperature increases cups of

1

hot chocolate sold decreases oe

2(c) Ruled line of best fit

B1

Reading their ruled line of best fit at 17?C

B1 Strict FT ? must be an integer from a line with a negative gradient

3(a) 5b ? 3a final answer

2 B1 for 5b ? 3a seen or answer ?3a + kb or ka + 5b

3(b) 18

2

M1 for

m 2

=5+4

or m ? 4

? 2 = 5 ? 2 or better

3(c)

3u

?

4

or

3 u

-

4 3

final answer

nfww

2

M1 for 3u = t + 4 or u ?

4 3

=

t 3

3(d) 6y3 + 15y final answer

2 B1 for 6y3 + 15y seen or answer 6y3 + ... or ... + 15y

4(a) 4

1

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4024/22

Cambridge O Level ? Mark Scheme PUBLISHED

May/June 2021

Question

Answer

4(b)

3.94

or

3

94 100

or

3

47 50

4(c)

2 5

cao

4(d) 2700

5(a) ( A B) oe

5(b)(i)

Marks

Partial Marks

2 M1 for 1? 8 + 2 ?10 + 3? 22 + 4 ? 28 + 5?15 + 6 ? 9 + 7 ? 5 + 8? 3

100

2

B1

for

8 +10 + 22 100

oe

After

0

scored,

SC1

for

answer

17 25

2

M1 for

15 100

[? 18000]

oe

1

3 B2 for Venn diagram with 1 or 2 errors, omissions or repeats or

for correct Venn diagram with ( P Q R) blank

or B1 for Venn diagram with 3 or 4 errors, omissions or repeats or

for correct Venn diagram with ( P Q R) blank and

one further error

5(b)(ii) 2, 9

5(b)(iii) 7

5(b)(iv) P Q R oe

6(a) (a, a) with a 1, 3 or 5

6(b) [y =] x2 ? 3x [y =] 2 ? x2 [y =] x3 ? 2 cao

6(c)

y

=

-

1 2

x

-

1 2

oe nfww

7(a)(i) 150 7(a)(ii) 54.1 or 54.08...

1 FT their diagram 1 1 2 SC1 for answer (1, 1) or (5, 5) 3 B1 for each

5

M1

for

[gradient

AB

=]

3 - (-5) 3 - (-1)

oe

M1

for

[gradient

M

=]

-

1 theirgradientAB

B1 for (1, ?1) M1 for their (1, ?1) substituted into

y

=

their

-

1 2

x

+

c

oe

1

2 M1 for 302 + 452

? UCLES 2021

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