Cambridge Lower Secondary Checkpoint
MATHEMATICS 0862/02
Paper 2 October 2023
MARK SCHEME
Maximum Mark: 50
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 Markers were instructed to award marks. It does not indicate the
details of the discussions that took place at a Markers’ 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 End of Series Report. Cambridge
will not enter into discussions about these mark schemes.
This document has 12 pages. Any blank pages are indicated.
IB23 10_0862_01/5RP
© UCLES 2023 [Turn over
0862/02 Lower Secondary Checkpoint – Mark Scheme October 2023
PUBLISHED
Mark scheme annotations and abbreviations
FT follow through after error
SC special case mark
cao correct answer only
dep dependent
isw ignore subsequent working
nfww not from wrong working
oe or equivalent
soi seen or implied
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Question Answer Marks Part Marks
1 360° 1 Accept any
2 tonne 1 Accept any
3 (y =) 3 + x2 oe 1
4 46 and 59 2 Award 1 mark for The two term
35 + 11 or 46 35 + 11 may
or their 46 + 13 or 59 and 11 but n
or sight of rule, i.e. square + 10 or n2 + 10
5 1 Both answe
Accept any
6 (4, –2) 2 Award 1 mark for
C marked on diagram at (4, –2)
or point B plotted at or seen as (4, 3)
3
or seen
– 4
Must be eith
or their B correctly translated down 5 correctly FT
or answer (4, k) or (k, –2).
7 3m + 5n = 86 1 Accept any
8 ($)4 2 12 Implied by k
Award 1 mark for oe 1 kg of straw
2
Implied by 1
150
or oe 1 kg of raspb
15
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0862/02 Lower Secondary Checkpoint – Mark Scheme
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Question Answer Marks Part Marks
9 15 1
10 2 3 Award 1 mark for each correct answer.
y Accept y1
w5
11 68 1
Accept answ
12(a) x–>2 x>1 1 All three lin
Accept any
2x > 2 x>2
x
>1 x>3
2
12(b) 9 2
x≥ − Do not isw,
2
answer line
Award 1 mark for a correct first step or better, Accept equi
e.g.
• –2x ≤ 20 – 11
• 11 ≤ 2x + 20 Accept othe
11 20 9
• –x≤ − oe imp
2 2 2
13 1 Both answe
Accept any
14 (a =) 32 or (a =) 36 1 Accept (a =
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Question Answer Marks Part Marks
15(a) Rotation 3 Award 1 mark for each of the three parts of the Accept equi
90° anticlockwise description. 270(°) clock
(5, 7) • rotation
• 90° anticlockwise If more than
• (5, 7) for the ques
Treat extra p
15(b) Any suitable position. 1
• The triangle must have a vertical and
a horizontal side, each 3 squares in
length.
• The vertex with the right angle will
be on y = x so that y = x is a line of
symmetry,
e.g.
y
12
11 Q
10
9 P
8
7 R2
6
5
4
3
R1
2
1
x
0 1 2 3 4 5 6 7 8 9 10 11 12
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Question Answer Marks Part Marks
16 Correct calculation and answer 2 Award 1 mark for
showing that the circumference of the Accept valu
larger circle is approximately 44 (cm)
more than the circumference of the
smaller circle, e.g.
π × 2 × (11 + 7) – π × 2 ×11 oe π × 2 × (11 + 7) oe or better Or better, e.
or 36 π – 22 π or π × 2 × 11 or better. or 113 to 1
or 113.1 – 69.1
Or better, e.
and or 69 to 69
an answer in the range
43.85 to 44.1… Accept equi
shown, e.g.
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Question Answer Marks Part Marks
17 38.4 (years) 3 Answer 38 w
isw correct
answer line.
Award 2 marks for correct method to find
estimated total, e.g.
25 × 34 + 35 × 18 + 45 × 28 + 55 × 20 Implied by 8
or
Award 1 mark for
three correct midpoints from 25, 35, 45 and 55 Implied by t
seen
or
finding estimated total using consistent points e.g. using en
within ranges. Implied by 6
33.4 alone.
Implied by 1
43.4 alone.
18 1 Both answe
Accept any
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Question Answer Marks Part Marks
19(a) 32.1 to 32.143 (cm2) 3 An answer o
3 marks.
2 Accept valu
6
π ×
Award 2 marks for
2 oe
2 Implied by,
or
Implied by,
Award 1 mark for π × ( 6 ÷ 2 ) oe
2
6×6 Implied by 1
or oe
2
19(b) 8.5 (cm) or 8.48 to 8.49 (cm) 2 Accept final
Award 1 mark for 62 + 62 or better.
Or better, e.
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Question Answer Marks Part Marks
20 Correct demonstration, e.g. 2 30
Accept
100
•
( 95 – 65 ) + ( 55 – 40 ) or 30 + 15 Award 1 mark for
not just 30
95 – 65
95 + 55 150 or 30 [= adults did not like]
45 Values coul
or oe
150 or 55 – 40
For percenta
or 15 [= children did not like]
45
and 0.3 or 30% e.g. ×
or 45 [= total who did not like] 150
or
or 95 + 55
65 + 40 65 + 40 105 or 150 [= total surveyed]
• or or oe
95 + 55 150 150 or 65 + 40
or 105 [= total who liked]
and 0.7 or 70%
and 0.3 or 30%
or
• 30% of 150 = 45 oe
and 30 + 15 = 45 Accept 30 a
the addition
21(a) 17 500 (km) 1 Do not acce
21(b) 0.995 (kg) 1
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Question Answer Marks Part Marks
22 174 to 177 (cm2) 3 Award 1 mark for
Accept valu
2 × π × r × 18 = 845 oe or better
Or better, e.
Note 36π im
and and 18π imp
Award 1 mark for π × (their r)2
Note do not
This mark is
surface area
23 a=9 3 Award 2 marks for
and For 1 or 2 m
b = 11 x2 – 5x + 5x – 25 and x2 – 3x + 12x – 36 accept x2 –
and x2 +
or a = 9
or b = 11
or
Award 1 mark for three correct terms out of
either of these set of four terms,
• x2 – 5x + 5x – 25 or
• x2 – 3x + 12x – 36 9x implies tw
or for –36 + b = –25
Alternative
values of x t
scores 1 ma
next mark.
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Question Answer Marks Part Marks
24 0.28 oe 4 7
oe, e.g.
25
Award 1 mark for 0.4 seen
and
Award 1 mark for 0.18 ÷ 0.6 or better
Or better, e.
or [P(Safia b
For 0.3 or 0
place on the
and from clear w
Award 1 mark for
their P(Rajiv blue) × their P(Safia blue). This mark m
correct FT f
on the tree d
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