Notesale: Turn your study into money

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MATHEMATICS

OCR 2024
GCSE Mathematics
J560/01 Paper 1 (Foundation Tier)
With Marking Scheme Merged

Oxford Cambridge and RSA

Thursday 16 May 2024 – Morning
GCSE (9–1) Mathematics
J560/01 Paper 1 (Foundation Tier)
Time allowed: 1 hour 30 minutes
You must have:
• the Formulae Sheet for Foundation Tier (inside
this document)

F

You can use:
• a scientific or graphical calculator
• geometrical instruments
• tracing paper

*

J

5

6

0

0

1

*

Please write clearly in black ink
...


Centre number

Candidate number

First name(s)
Last name
INSTRUCTIONS
• Use black ink
...

• Write your answer to each question in the space provided
...
The question numbers must be clearly shown
...

• Where appropriate, your answer should be supported with working
...

• Use the r button on your calculator or take r to be 3
...

INFORMATION
• The total mark for this paper is 100
...

• This document has 20 pages
...


2
1

Write down an example of each of the following
...


(a)
...


[1]

(c)
...


[1]

(a)
...


(c) A cube number between 20 and 220
...


2

Here is a list of five numbers
...


(b) A sixth number is added to the list
...


Work out a possible value for the sixth number
...

© OCR 2024

[2]

3
3

(a) Measure angle x
...
° [1]
(b) The angles of a triangle are 27°, 126° and 27°
...



...
[1]
(c) The diagram shows two sides of a parallelogram drawn on a one-centimetre grid
...

Include notation to show that the drawing is a parallelogram
...


(c)(ii)
...

Pattern 1

Pattern 2

Pattern 3

(a) Draw Pattern 4 in the sequence
...
Explain how you worked out your answer
...


...
[2]

5

A teacher writes down a number
...
Their answer is 81
...
[2]
© OCR 2024

5
6

A play group offers four activities to their children
...
You may not need all the answer lines
...


...
and
...
and
...
and
...
and
...
and
...
and
...
and
...
and
...


(b)
...

y
5
4
3
2
1
x
- 5 - 4 - 3 - 2 -1 0

12345

-1
-2
P

-3
-4
-5

(a) (i) Write down the coordinates of point P
...


,
...


[1]

(b) Write down the equation of the vertical line going through point P
...


© OCR 2024

[1]

7
8

Here is a formula
...


(a) a =
...


(b) c =
...


3

7 of the counters are red
...


Complete the table to show the fraction of the counters that are blue and the number of
red counters
...



...


(a)


...

Two castles are 6 kilometres apart on the ground
...
Give your answer in centimetres
...
cm [3]

11 Sam eats 30% of a 600 g pack of cereal every day
...

The cereal is no longer sold in 600 g packs
...

Sam wants to continue to eat the same amount of cereal every day
...

You must show your working
...
400 g packs [5]
© OCR 2024

9
12 Increase £95 by 16%
...
[3]
13 50 students are asked how many books they have read this month
...

Number of books

Frequency

0

11

1

8

2

10

3

8

4

7

5

6

Total

50

Work out the mean number of books read this month by the 50 students
...
[3]

© OCR 2024

Turn over

10
14

A machine makes 15 boxes in 12 minutes
...


Work out how many boxes are made by this machine in 7 hours
...
[4]

15 The population of an island is 47 000
people
...

Calculate the population density of the island in people per km2
...
people per km [2]

© OCR 2024

11
16 A sports team scored 400 points
...


The midfielders and the forwards scored the remainder of the points in the ratio 1 : 5
...

You must show your working
...
% [5]
© OCR 2024

Turn over

12

17 Triangle A is drawn on the grid below
...

2

[3]

18 Solve 7x - 3 1 11
...


x
-3

-2

-1

0

1

2

3

4
[4]

© OCR 2024

13
19 Work out
...
5 182
1
...



...

9 cm

6
...
8 cm

18 cm

15 cm

Not to scale

Show that they have the same area
...

Each student at the school votes for one of four charities, A, B, C or
D
...

This pie chart shows the sector for charity A
...

Twice as many students voted for charity D than charity C
...


(ii) Complete the pie chart
...

Calculate the total number of students at the school
...


[2]

(c) The school asks 80 of the students to choose a new logo from three designs G, H and J
...

50
40

J

Frequency
30
G

H

20
10
0

(i)

G

H
Design

J

Give one advantage of using the pie chart rather than the bar chart
...



...


...
[1]

© OCR 2024

Turn over

16
22 The same dog food is sold in three different sized
packs
...


700 g
for
£7
...
40

5 kg
for
£53
...


The
...


...
[3]

23

A garage is 5 metres long, correct to the nearest metre
...
5 metres long, correct to 1 decimal place
...


© OCR 2024

[3]

17
24 The diagram shows a straight line crossing two parallel lines
...

You must show your working
...
[5]
© OCR 2024

Turn over

18
25 The diagram shows a trapezium
...


x =
...

4x - y = 24
2x + 3y = 26

x =
...
[3]
27 Write the following in order of size, smallest first
...
2

-2
2

2 # 10

-2

Show how you decide
...
[3]
smallest

END OF QUESTION PAPER
© OCR 2024

20
EXTRA ANSWER SPACE
If you need extra space, use this lined page
...


...


...


...


...


...


...


...


...


...


...


...


...


...


...


...


...


...


...



...


...


Foundation
GCSE
Mathematics - Paper 1
J560/01: Paper 1 (Foundation tier)
General Certificate of Secondary Education

Mark Scheme for June 2024

Oxford Cambridge and RSA Examinations

OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of
qualifications to meet the needs of candidates of all ages and abilities
...


It is also responsible for developing new specifications to meet national requirements and
the needs of students and teachers
...

This mark scheme is published as an aid to teachers and students, to indicate the requirements
of the examination
...
It does not
indicate the details of the discussions which took place at an examiners’ meeting before
marking commenced
...

Mark schemes should be read in conjunction with the published question papers and the
report on the examination
...


Make sure that you have accessed and completed the relevant training packages for on -screen marking: RM Assessor Online Training; OCR
Essential Guide to Marking
...


Make sure that you have read and understood the mark scheme and the question paper for this unit
...


3
...


MARKING
1
...


2
...


3
...
It is essential that you meet the RM Assessor 50% and 100% deadlines
...


4
...


5
...
Wh ere no alternative
response has been provided, examiners should give candidates the benefit of the doubt and mark the crossed out r esponse where legible
...


When a candidate provides contradictory responses, then no mark should be awarded, even if one of the answers is correct
...


On each blank page the annotation BP must be inserted to confirm that the page has been checked
...


8
...

Team Leaders must confirm the correct use of the NR button with their markers before live marking commences and should check this when
reviewing scripts
...


2

J560/01
9
...
Please
refer to these comments when checking your practice responses
...

If you have any questions or comments for your Team Leader, use the RM Assessor messaging system
...


Assistant Examiners should send a brief report on the performance of candidates to their Team Leader (Supervisor) by the end of the marking period
...
Your report should
contain notes on particular strengths displayed as well as common errors or weaknesses
...


Annotations available in RM Assessor
...

Annotation

Meaning
Correct
Incorrect
Benefit of doubt
Follow through
Ignore subsequent working (after correct answer obtained), provided method has been completed
Method mark awarded 0
Method mark awarded 1
Method mark awarded 2
Accuracy mark awarded 1
Independent mark awarded 1

3

J560/01
Annotation

Mark Scheme

June 2024

Meaning
Independent mark awarded 2
Misread
Special case
Omission sign
Blank page
Seen

For a response awarded zero (or full) marks a single appropriate annotation (cross, tick, M0 or ^) is sufficient, but not required
...

It is vital that you annotate standardisation scripts fully to show how the marks have been awarded
...


M marks are for using a correct method and are not lost for purely numerical errors
...
Therefore M0 A1 cannot be awarded
...

SC marks are for special cases that are worthy of some credit
...


The following abbreviations are commonly found in GCSE Mathematics mark schemes
...
You should ignore leading or trailing zeros and any decimal point
e
...
237000, 2
...
370, 0
...

- isw means ignore subsequent working after correct answer obtained and applies as a default
...

- oe means or equivalent
...

- soi means seen or implied
...
You must check that the candidate has met all the criteria specified for the
mark to be awarded
...
The required minimum amount of working will be
defined in the guidance column and SC marks given for unsupported answers
...


Anything in the mark scheme which is in square brackets […] is not required for the mark to be earned, but if present it must be correct
...


Unless the command word requires that working is shown and the working required is stated in the mark scheme, then if the cor rect answer is clearly
given and is not from wrong working full marks should be awarded
...
e
...


16
...
For questions with FT available you must ensure that you refer back to the relevant pre vious answer
...


5

J560/01

Mark Scheme

June 2024
Figures or expressions that are being followed through are sometimes encompassed by single quotation marks after the word their for clarity, e
...
FT
180 × (their ‘37’ + 16), or FT 300 – (their ‘52 + 72’)
...
g
...


17
...
e
...


18
...
Place the annotation

✓

next to the correct answer
...
Place the annotatio n

✓

next to the correct answer
...
Method marks could still be awarded if there is no other method leading to the incorrect answer
...

19
...
A correct step, value or statement t hat is not
part of the method that leads to the given answer should be awarded M0 and/or B0
...

(iii) If more than one answer is provided on the answer line and there is more than one method provided, award marks for the poorer response
unless the candidate has clearly indicated which method is to be marked
...


In questions with no final answer line:
(i) If a single response is provided, mark as usual
...


6

J560/01

Mark Scheme

June 2024

21
...
Deduct 1 mark from any A or B marks earned and record this by using the MR annotation
...
If a candidate corrects the misread in a later part, do not continue to follow through, but aw ard A and B marks for the
correct answer only
...


Unless the question asks for an answer to a specific degree of accuracy, always mark at the greatest number of significant fi gures even if this is
rounded or truncated on the answer line
...
75, which is seen in the working
...
8, 15 or 16 on the answer line
...
75
...


Ranges of answers given in the mark scheme are always inclusive
...


For methods not provided for in the mark scheme give as far as possible equivalent marks for equivalent work
...


25
...


7

J560/01

Mark Scheme

Question
1

Answer

Marks

June 2024

Part marks and guidance

(a)

Any even number

1

In all parts if more than one answer all
must be correct

(b)

A multiple of 7

1

Accept 7

(c)

27, 64, 125 or 216

1

Do not accept e
...
g
...
6… etc as their
perpendicular height
eg M0 for √

13

oe includes two triangles + the 4 × 3
rectangle or the 8 × 3 rectangle – two
triangles
Need to be certain that 3 is slant height
to withhold the marks
4

(a)

1

May be drawn at the end of the
sequence

•
•
•
•
••••••••

(b)

5

Ignore extras
•

31

1

Add 3 to each pattern
3n + 1 or 3 × 10 + 1 or
10+21
654

1

2

Answer must not come from a drawing
See appendix

M1 for 81 × 8 implied by 648

Condone flow diagrams
−6
8

9

= 81 is not enough

J560/01
Question
6

Mark Scheme
Answer

(a)

Activities in either order with no
repeats:

Marks
2

June 2024
Part marks and guidance

M1 for at least 3 new correct combinations,
ignoring repeats or incorrect combinations

Accept initial, word or abbreviation if
clear

Strict FT of their list including the given
combination

isw incorrect cancelling or changing to
decimals
FT allow repeats

M1 for 30 = 4(c + 6)
M1FT for 7
...


1

-

-

1

(b)
(a)

x= 2
36

1
1

(b)

1
...
5
M1 for (their 7
...
5
Accept 1 : 2
...
4 : 1
M2 for

6 ×1000 ×100

oe

25000

or
M1 for 6 × 1000 × 100 may be implied by
600 000
or for
may be implied by answer figs 24
figs 6

figs 25

11

Condone (figs 6 or figs 15) × 1000 × 100

J560/01

Mark Scheme
63

11

4 with correct working

5

20

3 3 or 6
...
] or 6
...
15 or
with correct working
OR
M3 for 600 × 0
...
15

400

M3 and M2 may be seen in stages
or for

400 ÷ 180 × 3

or for 1260 with both 4 × 400 and 3 ×400

may be implied by 1260, 1600 and 1200

OR
M2 for 600 × 0
...
3
400

or for 400 ÷ 180
or for 400 – 180 – 180

may be implied by 1260 or 0
...
2(22…)

or for both 4 × 400 and 3 × 400
may be implied by 1600 and 1200

OR
M1 for 600 × 0
...
3 × 7
or for 600

400

0 or 1 scored, instead award
SC2 for answer 4 with no or insufficient
working
If 0 scored, instead award
SC1 for answer 3
...
1
may be implied by 1
...
2[0]

Marks
3

June 2024
Part marks and guidance

M2 for 1
...
16 × 95 oe

May be done in stages
May be implied by 15
...
2

525

3

4

M1 for [0 × 11], 1 × 8, 2 × 10,
3×8,4×7,5×6

May be implied by [0,] 8, 20, 24, 28, 30
or 110
For M1 allow one error or omission in
calculation or answers

M1 for their ∑(books × freq) ÷ 50

Must be a sum of products

M3 for

eg M3 for 420 × 1
...
8
or 7 × 75

oe

7×60×15

12

OR
M2 for

7×

60

oe may be implied by 35

eg M2 for 7 × 5 or 60 × 1
...
25

12

or for

12

may be implied by 0
...
9… or 84 or 83

Part marks and guidance

Marks
13

2

47 000

M1 for

14

June 2024

560

or B1 for answer 83 with no working
16

75 with correct working

5
M1 for
or 90%

9

× 400 oe may be implied by 360

10

100% = 400, 1/10 = 10% = 40
400 – 40 = 360

AND
B2 for 300
or M2 for

Award B2 for 60 : 300 or 300 : 60
ℎ

× 5 oe

360

Their 360 must come from use of 400

6

or

“Correct working” requires evidence of at
least M1 AND M1

×5

90

6

OR
B1 for 60 or 15%
or M1 for
ℎ

360

6

or

90

6

AND
M1 for

ℎ

300

[× 100] oe

400

If 0 or 1 scored, instead award
SC2 for answer 75 with no or insufficient working

14

Their 300 must come from an attempt at
a correct method

J560/01
Question
17

Mark Scheme
Answer
Triangle drawn with vertices at
(2, 2), (4, 2), (4, 3)

June 2024

Marks

Part marks and guidance

3

Condone freehand, mark intent
Red overlay scores 3
1

B2 for scale factor
correct centre but wrong scale factor
or for 3 correct vertices but no triangle drawn
2 but wr ong c entre or for

B2 includes enlargement in correct
proportions with horizontal side
touching both the green and red lines
For B1 and B2 sf ≠ 1

or
B1 for 2 correct vertices or a proportional
enlargement with incorrect centre

15

Similar shape with correct orientation

J560/01

Mark Scheme

Question
18

Answer
x<2

Marks
4

June 2024
Part marks and guidance

B2 for x < 2

Solution to inequality

or M1 for 7x < 11 + 3 or better

Allow M1 for
this expression with other inequality
symbols or equals sign
or [x =] 2 as solution (can be implied
by mark/circle on the diagram)
or trials leading to selection of 2 or
final correct trial using 2
Displaying the solution:

AND

AND
B2FT for their inequality correctly shown
or B1FT for correctly placed
circle for their x < 2 but with
hollow circle and incorrect arrow
or for filled circle with correct arrow

Display must show an inequality that
fits on the number line for FT
Mark to candidate’s advantage
either x < 2 or their inequality
Accept an arrow of any length or a
line reaching –3
If no solution to inequality seen:
Hollow circle at 2 arrow to left M1B2
Hollow circle at 2 arrow to right
M1B1
Solid circle at 2 arrow to left M1B1
Solid circle at 2 arrow to right M1B0
Mark at 2 no line or arrow M1B0
Circle and/or arrow at other than 2
M0B0

16

J560/01

Mark Scheme

Question
19

Answer

Marks

46
...
33[7…]
or
B1 for 99 493[
...
0625]

for B1 accept these numbers rot to at
least integers

If 0 scored SC1 for their answer to more than 4
figures correctly rounded to 4 s
...

20

M1

1 ×18×6
...
g
...
8 oe

M1 for

2

9+15

× 4
...
6
2

288

[both answers] 57
...
6 ÷ 9 = 6
...
4
Condone 24 for 9 + 15 and 9 for

1

× 18

2

e
...


115
...
g
...
For 3 marks we
need only four sectors and condone
one sector unlabelled
...
g
...
g
...
g
...
3

See appendix and mark best response
as long as it is not contradictory or has
an incorrect statement

1

1

3

39

See appendix and mark best response
as long as it is not contradictory or has
an incorrect statement
Allow any correct comparison e
...
(converting all
to 1 kg)

See appendix for other calculations and
values

B2 for three accurate comparable figures
or B1 for two accurate comparable figures

Mark their figures at the most accurate

OR
M1 for one correct appropriate calculation e
...

7
...
7 oe or 32
...
5 ≤ garage < 4
...
5 < car < 4
...
5 ≤ garage < 5
B1 for a value in 4
...
55

Values must be clearly associated with
garage (or 5) or car (or 4
...

For B1 if choice of values given all must
be in range, unless acceptable value(s)
indicated

“Correct working” requires evidence of
at least M2 or M1M1
M2 for 3x + 36 = 180 oe
or

Trials:
Correct answer from trials scores 5

M1 for (x – 14) + (2x + 50) = 180 oe

Allow correct substitution into (x – 14) +
(2x + 50) to imply M1 if 180 also stated

AND
A1 for [x =] 48

Dep on at least M1

M1 for 2 × their x + 50

their x < 65

If 0 or 1 scored, instead award SC2 for 146 with
no or insufficient working

SC marks may be seen on diagram

If 0 scored, instead award SC1 for [x =] 48
or y = 2x + 50

19

J560/01

Mark Scheme

Question
25

Answer
17

June 2024

Marks
4

Part marks and guidance
M3 for √

2

+ 152 or √289

(their 8)

or
M2 for (their 8)2 + 152
or
B1 for 8

their 8 must be from an attempt
at 20 - 12

8 must be their missing base length
B1 for 8 may be implied by use of 82 in
a Pythagoras statement
eg 152 = 82 + x2

26

[x =] 7
[y=] 4

3

M1 for correct method to eliminate one variable

Or correct substitution of one equation
into the other and getting to kx = n

final answer

27

[2 -2 =] [0]
...
02

Allow one error

M2

A1 for x = 7
A1 for y = 4
If 0 scored SC1 for a pair of values that satisfies
one of the original equations

Correct answer from trials scores 3

M1 for each

Alternative methods:
eg M2 for finding
, ,
1

5

2×10

2 , 0
...
g fractions or
decimals

20

J560/01

Mark Scheme

June 2024

Appendix
Exemplar responses for Q3b

Response

Mark

Two angles are identical and one is different
...


1

Because two of the angles being the same means it is equal lines
...


1

27˚ and 27˚ are equal meaning it has two equal sides
...


1 bod

Because isosceles triangles have equal sides and they are 27˚
...


0

One angle is bigger than the others

0

Because they’re both 27 degree angles'

0

2 sides are the same

0

Both of isosceles have the same number

0

21

J560/01

Mark Scheme

June 2024

Exemplar responses for Q4(b)
Response

Mark

P[attern] 4 = 13, p 5 = 16, p 6 = 19, p7 = 22, p8 = 25, p9 = 28, p10 = 31

11

Goes up by 3 each time so 7 x 3 = 21 = 31 (10 was amount of dots on last diagram)

11

31
...
I added 3 six times
...
I added 3

10

28 dots in pattern 10
...


01

30
...


01

22

J560/01

Mark Scheme

June 2024

Exemplar responses for Q21(c)(i)
Response

Mark

Information is immediately displayed as part of a whole

1

You can see the proportions easily

1

It shows proportions

1

Visual representation of proportions

1

Pie chart visually shows more than half the students voted G

1

It shows as a percentage of a whole

1(BOD)

Easier to tell the percentage of people who chose a design

1(BOD)

Easier to see percentage

1(BOD)

Easier to compare/ see results/ can see which one is most popular (or least popular)

0

Shows difference based on size of each part

0

Can easily compare size of sectors

0

Clear to see

0

Easier to read / understand

0

You can see the amounts compared to other amounts / can see biggest and smallest with a glance

0

It gives a better view on results

0

You can work out the percentage better

0

They give you a percentage whilst a bar chart doesn’t

0

It’s more accurate

0

Identify results quicker

0

Shows largest one without giving numbers

0

23

J560/01

Mark Scheme

June 2024

Exemplar responses for Q21(c)(ii)
Response

Mark

you cannot read the [exact] frequencies from it

1

It does not show frequencies/ the amount of people/ the number of students who chose which one

1

More difficult to work out how many students chose each logo

1

Harder to read frequencies

1

You can’t see exactly how many people voted

1

You can clearly see the numbers on the bar chart

1

Can’t see exact values

1

More steps to get the frequency

1(BOD)

Bar chart shows the actual numbers(figures)

1(BOD)

Hard to read exact values

1(BOD)

It doesn’t give any numbers

1(BOD)

The results aren’t as clear, no numbers

1(BOD)

very difficult to add more data to it

1(BOD)

Does not show how many it is out of

1(BOD)

Harder to find the total amount

1(BOD)

Bar chart gives you more information

0

Not as in depth as pie chart / specific

0

Don’t know what each section is and what it’s of

0

Have to use/ have a protractor

0

People may not be able to read pie charts

0

Harder to compare than bar chart

0

Can be difficult to read

0

24

J560/01

Mark Scheme

June 2024

Non Calculator methods for percentages
...


If only labels are used the final answer scores full marks if it is correct
...

If there is an error in the values and so the final answer is incorrect this cannot score method

marks
e
...
Find 65% of 60
Method scoring M1A1
10% = 6

10% = 6

5%=3
50% = 30
Method scoring M0A0

Build up method



5%=4

50% = 30

✓

condone this slip as answer correct

✓

M1A1

M1A1
65% = 39
65% = 39
10%=6
5% = 4 M0 Do not condone this slip as answer incorrect
50% = 30



65%=40

This is where the candidate finds the percentages to build up to the required value but shows the operations used
...
g
...
The figures given must be accurate
enough to differentiate between the three sizes
...
8[0]
£10
...
7[0]
£7
...
54[6] or £7
...
011
£0
...
0107[8]

Amount for £1
90[
...
5 to 92
...
7… g

Cost of 3 kg
£33
£32
...
3[4]

Amount for 1p
0
...
91 g
0
...
926 g
0
...
90]

Amount for £7
...
70]

Alternative method 2
Allow comparison in pairs e
...

Compare 3 kg and 5 kg by working out the cost of 15 kg
3 kg is £162 and 5 kg is £161
...
46

26

Amount for £32
...
9
4
...
99… kg
5 kg



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