Mathematics
Stage 7
V2
2
These tables give general guidelines on marking answers that involve number and place value, and
units of length, mass, money or duration. If the mark scheme does not specify the correct answer,
refer to these general guidelines.
Number and Place value
The table shows various general rules in terms of acceptable decimal answers.
Accept
Accept omission of leading zero if answer is clearly shown, e.g.
.675
Accept tailing zeros, unless the question has asked for a specific number of decimal places, e.g.
0.7000
Always accept appropriate tailing zeros, e.g.
3.00 m; 5.000 kg
Accept a comma as a decimal point if that is the convention that you have taught the children, e.g.
0,638
Units
For questions involving quantities, e.g. length, mass, time or money, correct units must be given in the
answer. The table shows acceptable and unacceptable versions of the answer 1.85 m.
Correct answer Also accept Do not accept
Units are not given on 1.85 m Correct conversions 1.85
answer line and the provided the unit is
question does not stated, e.g. 185 m
specify a unit for the 1 m 85 cm
answer 185 cm
1850 cm
1850 mm
0.00185 km
If the unit is given on ……1.85…… m Correct conversions, ……185…… m
the answer line, e.g. provided the unit is ……1850…… m
………………… m stated unambiguously, etc.
e.g. ……185 cm…… m
If the question states 1.85 m 1.85 185; 1850
the unit that the answer 1 m 85 cm
should be given in, e.g. Any conversions to
“Give your answer in other units, e.g.
metres” 185 cm
© UCLES 2011 P110/M/A/M/11
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Money
For questions involving money, it is essential that appropriate units are given in the answer.
The table shows acceptable and unacceptable versions.
Accept Do not accept
If the amount is in dollars and $0.30
cents, the answer should be
given to two decimal places. $9 or $9.00 $09 or $09.00
If units are not given on answer Any unambiguous indication of 30 or 0.30 without a unit
line the correct amount, e.g.
30 cents; 30 c Incorrect or ambiguous
$0.30; $0.30 c; $0.30 cents answers, e.g.
$0-30; $0=30; $00:30 $0.3; $30; $30 cents; 0.30 cents
If $ is shown on the answer line $......0.30…… $......30……
$......0.30 cents…… $......30 cents…… (this cannot
be accepted because it is
Accept all unambiguous ambiguous, but if the dollar sign
indications, as shown above is deleted it becomes
acceptable)
If cents is shown on the answer ……30……cents ……0.30……cents
line ……$0.30……cents ……$30……cents
Duration
Accept any unambiguous method of showing duration and all reasonable abbreviations of hours
(h, hr, hrs), minutes (m, min, mins) and seconds (s, sec, secs).
Accept Do not accept
Any unambiguous indication using any Incorrect or ambiguous formats, e.g.
reasonable abbreviations of hours (h, hr, hrs),
minutes (m, min, mins) and seconds
(s, sec, secs), e.g.
2 hours 30 minutes; 2 h 30 m; 02 h 30 m 2.30; 2.3; 2.30 hours; 2.30 min; 2 h 3;
5 min 24 sec; 00 h 05 m 24 s 2.3 h
Any correct conversion with appropriate units,
e.g.
2.5 hours; 150 mins 2.5; 150
324 seconds 304
Also accept unambiguous digital stopwatch Do not accept ambiguous indications, e.g.
format, e.g.
02:30:00 02:30
00:05:24; 05:24 s 5.24
© UCLES 2011 P110/M/A/M/11
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Time
There are many ways to write times, in both numbers and words, and marks should be awarded for
any unambiguous method. Accept time written in numbers or words unless there is a specific
instruction in the question. Some examples are given in the table.
Accept Do not accept
Any unambiguous indication of correct answer in Incorrect or ambiguous formats, e.g.
numbers, words or a combination of the two, e.g.
07:30; 19:00
0730; 07 30; 07.30; 07,30; 07-30; 7.30; 730 a.m.; 07.3; 073; 07 3; 730; 73; 7.3; 7.3 am; 7.30 p.m
7.30am; 7.30 in the morning
Half past seven (o’clock) in the morning
Thirty minutes past seven am
Also accept: O-seven-thirty
1900; 19 00; 19_00 etc. 19; 190; 19 000; 19.00 am; 7.00 am
Nineteen hundred (hours)
Seven o’clock in the afternoon/evening
Accept correct conversion to 12-hour clock, e.g. 4.42 am; 0442; 4.42
16:42
4.42 p.m.
Sixteen forty two Forty two (minutes) past sixteen
Four-forty-two in the afternoon/evening Eighteen (minutes) to seventeen
Four forty two p.m.
Forty two (minutes) past four p.m.
Eighteen (minutes) to five in the evening
Also accept a combination of numbers and
words, e.g.
18 minutes to 5 p.m.
42 minutes past 4 in the afternoon
© UCLES 2011 P110/M/A/M/11
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Stage 7 Paper 1 Mark Scheme
Question 1
Part Mark Answer Further Information
1 2 (°C)
Total 1
Question 2
Part Mark Answer Further Information
(a)
1 225
(b)
1 9
Total 2
Question 3
Part Mark Answer Further Information
(a)
1 17 260
(b)
1 100
Total 2
Question 4
Part Mark Answer Further Information
15
1 or equivalent
50
Total 1
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Question 5
Part Mark Answer Further Information
(a)
3
1 6
4
(b)
19
1
5
Total 2
Question 6
Part Mark Answer Further Information
1 ($) 12
Total 1
Question 7
Part Mark Answer Further Information
Correct reflection in y = x Accept slight inaccuracy in drawing as
long as the intention is clear.
y
y=x
Ignore any shading.
Total 1
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Question 8
Part Mark Answer Further Information
1 57 Accept 57°
Total 1
Question 9
Part Mark Answer Further Information
1 5.7
Total 1
Question 10
Part Mark Answer Further Information
(a) 1 70 Accept 70°
(b)
Yes and a correct reason e.g. the Do not accept yes with no reason.
angles do not add up to 360
1
Do not accept an explanation of
angles add up to 370 on its own.
Total 2
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Question 11
Part Mark Answer Further Information
(a)
1 5(°C) Do not accept 6 – 11 or 11 – 6
(b)
1 21(°C)
(c)
Any two valid distinct comments. 1 mark for each
e.g. Do not accept the general statement
'Sydney is hotter than London' without
The temperature everyday is higher in reference to either an average or the
2
Sydney than in London. time period.
On average, Sydney is hotter.
same range or equally spread
Total 4
Question 12
Part Mark Answer Further Information
1 ( 18 + 7 ) ÷ ( 3 + 2 ) = 5
Total 1
Question 13
Part Mark Answer Further Information
(a)
y = 12 + x y = 12 ÷ x
Accept any clear indication.
1
y = 12x y = 12 – x
(b)
1 240 (screws) Accept 32 if y = 12 + x is ringed in (a).
Total 2
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Question 14
Part Mark Answer Further Information
Type of triangle 2 marks for all 3 rows.
Triangle Scalene
Right
Isosceles 1 mark for 1 or 2 rows.
angled
Award 1 mark if all ticks are correct
A but no crosses are used.
2
B
C
D
Total 2
Question 15
Part Mark Answer Further Information
5 3
2 1 mark for sight of in working.
8 8
Total 2
Question 16
Part Mark Answer Further Information
Number Number Number 1 mark for cube or cuboid.
of of of
faces vertices edges
Accept any other shape with the
Square correct properties.
based 5 5 8
2 pyramid
1 mark for 8 and 6 in the correct
Cube or positions.
cuboid 6 8 12
Triangular
prism 5 6 9
Total 2
© UCLES 2011 P110/M/A/M/11
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Question 17
Part Mark Answer Further Information
1 mark for each correct connection.
Do not accept any answer where two
2 lines are joined to one box.
Total 2
Question 18
Part Mark Answer Further Information
6 (cm) Accept 2 marks for 6 cm, with no
working shown.
1 mark for perimeter = 24 (cm)
2
or
1 mark for evidence of a correct
method.
Total 2
Question 19
Part Mark Answer Further Information
2 16 (rows) 1 mark for 15 or 15 r22
Total 2
Question 20
Part Mark Answer Further Information
1 7:4 correct answer only
Total 1
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Question 21
Part Mark Answer Further Information
Accept any clear indication.
16 12 14 28 9
1 30 20 25 35 15 Both correct answers must be
indicated with no extras for the mark
to be awarded.
Total 1
Question 22
Part Mark Answer Further Information
($)17.87 1 mark for sight of $32.13 in the
working.
2
1 mark for a complete method with no
more than one arithmetic error.
Total 2
Question 23
Part Mark Answer Further Information
(a)
Bar for car height 6 Bar can be any width but must not be
a single line.
1
Accept any clear intention.
(b)
24 (students) Follow through from incorrect answer
1
in part (a).
Total 2
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Question 24
Part Mark Answer Further Information
(a)
1 27 (litres)
(b)
1 8 (litres)
Total 2
Question 25
Part Mark Answer Further Information
55 (°) 1 mark for angle CAD or angle CDA =
2
35°
Total 2
Question 26
Part Mark Answer Further Information
any 5 squares in A shaded Accept any clear intention including
1 half squares provided that they add
up to 5
Total 1
Question 27
Part Mark Answer Further Information
Yes and correct explanation Do not award mark for Yes without
valid explanation.
1 e.g. A and D both round to 5000
Accept A and D both round to the
same number.
Total 1
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Stage 7 Paper 2 Mark Scheme
Question 1
Part Mark Answer Further Information
2 marks for all 4 correct.
1 mark for 3 correct.
2
Total 2
Question 2
Part Mark Answer Further Information
1 6.6
Total 1
Question 3
Part Mark Answer Further Information
57.5 cm, 0.6 m, 180 cm, 2043 mm, 2.4 m Accept any clear intention including
1
omission of units.
Total 1
Question 4
Part Mark Answer Further Information
1 ($) 70(.00)
Total 1
© UCLES 2011 P110/M/A/M/11
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Question 5
Part Mark Answer Further Information
Number Order of Award 1 mark for two correct rows.
of lines of rotational
symmetry symmetry
or
Square 4 4
Award 1 mark for one column
2 completed correctly.
Rectangle 2 2
Rhombus 2 2
Kite 1 1
Total 2
Question 6
Part Mark Answer Further Information
(a)
21 and 15, in the correct order Both numbers must be correct for the
1
award of the mark.
(b)
17 and 16, in the correct order Both numbers must be correct for the
1
award of the mark.
Total 2
Question 7
Part Mark Answer Further Information
Ages (years) Frequency Award 1 mark for 2 or 3 correct
frequencies.
1-20 4
or
2 21-40 7
Award 1 mark for frequency column
41-60 6 completed with the correct number of
tally marks only.
61-80 3
Total 2
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Question 8
Part Mark Answer Further Information
1 4 hundredths or 4
100
Total 1
Question 9
Part Mark Answer Further Information
(a)
Both numbers must be correct.
x 0 1 2 4
1
y 1 3 5 9
(b) y
y = 2x + 1 Award 1 mark for points plotted
10
correctly. Allow follow through from
9 incorrect table.
8
7
Award 1 mark for straight line
correctly labelled.
6
2 5
x
0 1 2 3 4 5 6 7 8 9 10
Total 3
© UCLES 2011 P110/M/A/M/11
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Question 10
Part Mark Answer Further Information
Uses 6 dots to form the vertices of a Accept slight inaccuracy in drawing so
hexagon that is symmetrical but not long as intention is clear.
regular, e.g.
Total 1
Question 11
Part Mark Answer Further Information
Accept any clear indication.
1
Total 1
Question 12
Part Mark Answer Further Information
(a)
D plotted at (–2,1) Accept correct point plotted without
label.
1
Accept slight inaccuracy in the
position of the point
(b)
1 (–2,1) Follow through from incorrect point D.
Total 2
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Question 13
Part Mark Answer Further Information
1 –20
Total 1
Question 14
Part Mark Answer Further Information
Any four odd numbers and any two Accept repeated numbers.
1
even numbers.
Total 1
Question 15
Part Mark Answer Further Information
Accept any clear indication.
1
Both must be correct with no extras
selected.
Total 1
Question 16
Part Mark Answer Further Information
25 16 Award 1 mark for both a square
number and a prime number using
2 41 or 23 the given digits.
36 54
Total 2
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Question 17
Part Mark Answer Further Information
(a)
Multiply by 2 or double. Accept any valid answer that
1
generates these terms.
(b)
1 21
Total 2
Question 18
Part Mark Answer Further Information
($)4.76 Award 1 mark for the complete correct
method.
2
Do not award a mark for the price of
one lemon only.
Total 2
Question 19
Part Mark Answer Further Information
correct answer only
1 235 ÷ 25 = 9 2
5 Do not accept 9.4 or any unsimplified
fraction.
Total 1
Question 20
Part Mark Answer Further Information
(a)
2 188(cm²) Award 1 mark for any correct method.
(b)
1 168(cm³)
Total 3
© UCLES 2011 P110/M/A/M/11
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Question 21
Part Mark Answer Further Information
(a)
1 7
(b)
6.1 Award 1 mark for clear attempt to
2 multiply scores by frequencies and
adding them.
Total 3
Question 22
Part Mark Answer Further Information
Accept any clear indication.
1
Both must be ticked with no extras.
Total 1
Question 23
Part Mark Answer Further Information
40° 55° 30° 35° 65° 70° Accept any clear indication.
1
Both must be ticked with no extras.
Total 1
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Question 24
Part Mark Answer Further Information
(a)
1 4a + b Accept any equivalent expression.
(b)
Any closed shape with the correct
perimeter.
e.g.
Total 2
Question 25
Part Mark Answer Further Information
(a)
(0).625 Do not accept rounded or truncated
1
answers.
(b) 3 5 13 7 3 Accept any equivalent decimals.
1
5 8 20 10 4
Total 2
Question 26
Part Mark Answer Further Information
(a)
1 12 and 8, in either order Both numbers must be correct.
(b)
Any 6 squares shaded Accept any clear intention including
1 half squares provided that they add
up to 6
Total 2
© UCLES 2011 P110/M/A/M/11
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Question 27
Part Mark Answer Further Information
regular pentagon correctly drawn Award 1 mark for all angles within 2°
2
Award 1 mark for all sides within
2 mm.
Total 2
© UCLES 2011 P110/M/A/M/11
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Stage 7 Paper 3 Mark Scheme
Question Mark Answer
1 ½ 62
2 ½ 7
3 ½ ($) 9
4 ½ 130 (mm)
5 ½ 133 (°)
6 ½ (7 + 3) x 4
7 ½ x + 4 (years)
1
evens or , or equivalent
8 ½ 2
(Do not accept equal or a ratio.)
9 ½ 30(°) ± 5° (Check the angle on your printed answer sheet.)
10 ½ 89
11 ½ 213
12 ½ 36
13 ½ 6.3
14 ½ 1 hour 30 mins or equivalent
15 ½ 56
16 ½ ($) 6
2
5 or exact equivalent
17 ½ 3
(Do not accept a decimal.)
18 ½ 27 (cm³)
X at 0
x
19 ½ 0 1
Any clear indication.
20 ½ 6 (people)
© UCLES 2011 P110/M/A/M/11
