GCSE (9-1) Mathematics
Component 1
Grades 1-4 Practice Materials (Set 1)
Qualification
Accredited
www.ocr.org.uk/maths
GCSE (9-1)
MATHEMATICS
Practice Materials
Grades 1-4 Practice Materials
Set 1, Component
...
GCSE (9-1) Mathematics
Component 1
Grades 1-4 Practice Materials (Set 1)
Qualification
Accredited
www.ocr.org.uk/maths
GCSE (9-1)
MATHEMATICS
Practice Materials
Grades 1-4 Practice Materials
Set 1, Component 1
Version 1
J560
For first teaching in 2015GCSE (9-1) Mathematics Grades 1-4 Practice Materials
© OCR 2020
Introduction
These practice materials can be used to support
foundation students who are targeting grades 1-4. They
are comprised of questions taken from previous series.
Mark schemes are included and can be found towards the
back of each set of materials.
Please remember to omit the mark schemes when
distributing the question pages to your students.
To see additional GCSE (9-1) Mathematics resources,
please visit: https://www.ocr.org.uk/qualifications/gcse/
mathematics-j560-from-2015/planning-and-teaching/
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convert PDF to Word (search for pdf to word converter).Grades 1-4 Practice Materials
1
GCSE (9-1) Mathematics
© OCR 2020
GCSE (9-1) Mathematics
Component 1
Grades 1-4 Practice Materials (Set 1)
Time allowed: 45 minutes
Name
50.Grades 1-4 Practice Materials
2
GCSE (9-1) Mathematics
© OCR 2020
1Grades 1-4 Practice Materials
3
GCSE (9-1) Mathematics
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(b)
(b)
[2]Grades 1-4 Practice Materials
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(b)Grades 1-4 Practice Materials
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© OCR 2020
13GCSE (9-1) Mathematics Grades 1-4 Practice Materials
12 © OCR 2020
Component 1 – Mark scheme
Types of marks:
• M marks are for using a correct method and are not lost for purely numerical errors.
• A marks are for an accurate answer and depend on preceding M (method) marks. Therefore M0 A1 cannot be awarded.
• B marks are independent of M (method) marks and are for a correct final answer, a partially correct answer, or a correct intermediate stage.
• SC marks are for special cases that are worthy of some credit.
The following abbreviations are commonly found in GCSE Mathematics mark schemes.
• cao means correct answer only.
• figs 237, for example, means any answer with only these digits. You should ignore leading or trailing zeros and any decimal point e.g. 237000, 2.37, 2.370,
0.00237 would be acceptable but 23070 or 2374 would not.
• isw means ignore subsequent working (after correct answer obtained).
• nfww means not from wrong working.
• oe means or equivalent.
• rot means rounded or truncated.
• seen means that you should award the mark if that number/expression is seen anywhere in the answer space, including the answer line, even if it is not in the
method leading to the final answer.
• soi means seen or implied.GCSE (9-1) Mathematics Grades 1-4 Practice Materials
13 © OCR 2020
Question Answer Marks Part marks and guidance
1 (a) (i) 44 1 ±2˚
(ii) Acute 1 Condone incorrect spelling
(b) Parallel 1 Condone incorrect spelling
2 (a) (i) 7900 1
(ii) 8000 1
(b) 7 1 Do not allow 37
3 (a) 2 B1 for table completed with no more than 5
errors or omissions
Ignore negative signs
(b) 9
oe
25
2 B1FT for their correct numerator
B1 for fraction with denominator 25
Ignore attempts to convert form or simplify
Accept [0].36 or 36% but not ratio or in words
4 (a) Trapezium 1
(b) 6 1
5 6 4 B3 for 3 and 2.25 or for 5.25
OR
M1 for 360 ÷ 15 soi by 24
M1 for 1440 ÷ 80 soi by 18
M1 for their 24 ÷ 8 and their 18 ÷ 8 or their
(24 + 18) ÷ 8
OR
M1 for 15 × 8 soi by 120
M1 for 80 × 8 soi by 640
M1 for 360 ÷ their 120 and 1440 ÷ their 640
Accept equivalent alternative methodsGCSE (9-1) Mathematics Grades 1-4 Practice Materials
14 © OCR 2020
Question Answer Marks Part marks and guidance
6 (a) 15
15
90
20
10
4 B3 for 4 correct
Or B2 for 3 correct
Or B1 for 2 correct
If 0 scored SC1 for their apple = 2 x their
grapefruit
(b) 80 1
7 12 20 [pm] 4 SC3 for 1220 am
OR
B2 for LCM as 200
and
M1 for 9:00 plus their LCM
OR
M1 for 25 = 5 x 5 and
40 = 2 x 2 x 2 x 5
and
M1 for 9:00 plus their LCM
OR
B1 for listing [0]925, [0]950, 1015
and
B1 for listing [0]940, 1020, 1100
8 28
oe
40
3 B2 for 0.7 or 70%
OR
B1 for 8 or 4 or oe
and
M1 for 40 – their (8 + 4) soi by 28
Answer must be a fraction ignore cancelling of
fraction after but not conversion to decimal or
percentage
Allow or or 12 nfww
9 (a) 140 isw 2 B1 for 120 seen Accept 2 h[ours] 20 m[inutes]
(b) 2.5 oe 2 B1 for 75 seen
Or M1 for their 75 ÷ 30 correctly evaluated To 2 significant figures or better
10 (a) 20 1
28
40
30
100
8
40
4
40GCSE (9-1) Mathematics Grades 1-4 Practice Materials
15 © OCR 2020
Question Answer Marks Part marks and guidance
(b) Line from (1310, 120) to (1420, 180) 2 B1 for line from (1310, 120)
B1 for line to (1420, 180)
Extra stop allowed
A non-decreasing curve is OK
11 (a) (i) (4, 3) 1
(ii) (-2, -1) 1
(b) Point plotted at (3, -2) 1 Condone use of a letter (R) if clearly in correct
position
(c) Line y = 3 drawn 1 Minimum length 1 square
12 (a) (i) 3.15 or 3.2 2 Accept 3.0 to 3.3
M1 for 6.0 to 6.6 [cm] seen or 60 to 66 [mm]
seen
May be seen on diagram or on the answer line
(ii) 115 1 Accept 113 to 117
(b) C marked 5cm from B
C marked on bearing of 230° from B
2 Accept 4.8 to 5.2 cm
Accept 226° to 234°
B1 for one correct
Condone C not labelled if clear indication is
given e.g. marked with a cross
If C not indicated, an arc radius 5cm, centre B
scores B1 with no other arcs
13 (a) 93 ÷ 3 or 31 or 100 ÷ 3 or 33.3.. or 55 ÷ 1.55 or
3300 ÷ 93 or 35.5 or 35.48… or 55 ÷ 93 or 0.6
or 0.59…
Their 31 × 100 or 3100 or their 33.3... × 93 or
their 35.5 × 3
Their 3100 ÷ 60 soi by 51.6[6..] or 51.7 or 52 or
51[min] 40[sec] or 55 × 60 soi 3300 or 106[.5] or
106.45…
106.45 or 106[.5] > 100 or 51.6[6]. or 51.7 or 52
or 51[min] 40[sec] < 55 or 31[00] < 33[00] or
So he can swim that distance
1 1 1 1
Accept any correct method
Conclusion or comparison of correct values
required
e.g. 106.45 lengths in 55 mins
(b) He swims at the same rate 1 Accept any correct statement e.g. he does not
slow down, no breaks
See below
(c) He will get tired/he will slow down/not take
breaks
1 Accept any correct statement See belowGCSE (9-1) Mathematics Grades 1-4 Practice Materials
16 © OCR 2020
Exemplar responses for Q13(b)
Response Mark
It took an equal amount of time per length 1
He can swim the other lengths at the same speed 1
He didn’t stop for a break 1
He took 31 seconds to swim each length 1 BOD
Every 3 equals 93sec – every 1 equals 31sec 1 BOD
He could swim more lengths in under 55 minutes 0
He can swim exactly 3 lengths in 93 seconds without losing a couple of seconds 0
Needs to swim faster 0
He swam 3 lengths in 1min 33sec 0
He’s a quick swimmer 0
That he could/couldn’t do it 0
That 93 ÷ 3 = 31 and 100 x 31 = 3100 which is less than 55 minutes 0
Exemplar responses for Q13(c)
Response Mark
Runs out of breath 1
He gets tired/slower 1
He may need a break 1
He might not be able to swim that far 1
He would have to maintain a constant speed 1 BOD
He may not keep going at the same speed (doesn’t say why) 1 BOD
He may take longer to swim 100 lengths 0
He’s not a good swimmer 0
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