GCSE (9-1) Mathematics
Component 1
Grades 1-4 Practice Materials (Set 2)
Qualification
Accredited
www.ocr.org.uk/maths
GCSE (9-1)
MATHEMATICS
Practice Materials
Grades 1-4 Practice Materials
Set 2, Componen
...
GCSE (9-1) Mathematics
Component 1
Grades 1-4 Practice Materials (Set 2)
Qualification
Accredited
www.ocr.org.uk/maths
GCSE (9-1)
MATHEMATICS
Practice Materials
Grades 1-4 Practice Materials
Set 2, 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 2)
Time allowed: 45 minutes
Name
50.Grades 1-4 Practice Materials
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© OCR 2020Grades 1-4 Practice Materials
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© OCR 2020Grades 1-4 Practice Materials
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GCSE (9-1) Mathematics
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15GCSE (9-1) Mathematics Grades 1-4 Practice Materials
11 © 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
12 © OCR 2020
Question Answer Marks Part marks and guidance
1 (a) Correct bar drawn 1 Condone freehand
(b) (i) Germany 1
(ii) 25 1
(iii) 6 1
2 (a) Cylinder 1
(b) 90º symbol marked at BCD cao 1 Accept 90º with arc
3 (a) 32 1
(b) Times by 2 oe 1
4 144 final answer 2 M1 for 27 – 15 implied by 12
5 (a) 1 : 19 1
(b) 12 2 M1 for 8 ÷ 2 soi by 4 or 8 × 1.5 oe
6 (a) 10 final answer 1
(b) 4 final answer 1
7 (a) 14 1
(b) 18 1
(c) 6.5 final answer 2
M1 for 8x = 46 + 6 or better
or x = from their ax = b a ≠1
Accept 6 or
Must be an equation
Accept a fully correct flow chart for M1
8 15 with correct supporting working 5 M1 for 140 ÷ 7 soi by 20
M1 for 4 × their 20 and 3 × their 20 soi by 80
and 60
M1 for their 80 ÷ 5 or their 60 ÷ 4
A1 for 16 and 15
OR
M1 for 140 ÷ 9 soi by 15.5
M1 for 15 × 5 and 15 × 4 soi by 75 and 60
M1 for 140 ÷ 7 soi by 20
M1 for 4 × their 20 and 3 × their 20 soi by 80
and 60
SC1 for 15 without working
Accept correct alternative methods
Their 20 must come from a division of 140
15 from incorrect working scores 0
ba
12
13
2GCSE (9-1) Mathematics Grades 1-4 Practice Materials
13 © OCR 2020
Question Answer Marks Part marks and guidance
9 786.65 4 M1 for 28361 – 27612 soi by 749
M1 for their 749 × [0].85 implied by 636.65 or
their 749 × 85 implied by 63665
M1 for their 636.65 + 150 or their 63665 +
15000
Accept alternative methods
10 Vertices at (4, 8) (8, 2) (4, 2) 3 B2 for 2 vertices correct
Or M1 for correct enlargement incorrect position
Condone freehand if vertices ±2mm by eye
11 31.4[2] or 31.41… 2 M1 for π × 10 oe Method can be spoiled
12 (a) 7 cao 1 Do not allow a7 or a7
(b) 12 cao 1 Do not allow b12 or b12
13 (a) Accept any correct explanation e.g. sample size
is small, no mention of subjects being randomly
selected
1 If more than one choose the best one
(b) Two points accurately plotted 2 B1 for each
(c) Positive 1 Ignore any extras e.g. strong
14 (a) A correct distance conversion e.g. 400 ÷ 1000
or [0].4 or 5 × 1000 or 5000
A scale factor e.g. 5[000] ÷ 400 soi by figs 125
or 840 ÷ 66 soi by 12.727…or 12.73 or figs 127
Correct time conversion e.g. 14 × 60 or 840 or
66 ÷ 60 or 1[m] 6[s] or 1.1 or 825 ÷ 60
Correct figures e.g.
13.75 or 13.7 or 13.8 [14]
5.09… or 5.1 [5]
5090[. …] or 5100 5000
825 840
12.5 12.7…
5.95 or 5.9 or 6 6.06… or 6.1
M1
M1
M1
A1
Accept any correct method
Dep on M3
(b) An acceptable response e.g.
[he will not maintain this rate because] he will
get tired
1 Accept any correct reason, must not be
contradicted
12
Tolerance ± small squareGCSE (9-1) Mathematics Grades 1-4 Practice Materials
14 © OCR 2020
Question Answer Marks Part marks and guidance
15 246 6 B1 for 6 , 6.5 or 6h 30m
AND
M2 for their 6 × 2 × 12 soi by 156
Or M1 for their 6 × 12 soi by 78 or
their 6 × 2
AND
M2 for 12 × 1 × 5 soi by 90
Or M1 for 12 × 1 soi by 18 or 1 × 5 soi by 7
or 12 × 5 soi by 60
1 13, 78 or 156 imply B1
2
12
12
12
12
12
12
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