CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST MARK SCHEME
Stage 8 End-of-year test Mark Scheme
The tests and mark schemes have been written by the authors. These may not fully reflect the
approach of Cambridge Assessment International Education.
B marks: marks awarded for answers, independent of method.
M marks: marks awarded for using a correct method.
A marks: marks awarded for a correct answer that must come from a correct method.
Q
Answer
Mark
Comment
1a
−5
B1
1b
1
B1
1c
9
B1
1d
6
B1
2
A correct factor tree for 540
M1
22 × 33 × 5
A1
In any order.
Only these two chosen.
3
y = 4x − 7 and y = 4 x + 1
1
4
B1
4a
4 × 2.5 = 10 and 10 × 5.8
M1
58
A1
6.8 × (10 − 0.1)
M1
67.32
A1
5a
215°
B1
5b
215 − 180 (= 35)
M1
035°
A1
4b
Accept 68 − 0.68.
Accept equivalent methods.
e.g. 360 − 215 = 145 and
180 − 145 (= 35).
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
1
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST MARK SCHEME
Q
Answer
Mark
Comment
6
5
12
M1
7
2 + 3 + 7 = 12 and 180 ÷ 12 (= 15)
M1
2 × 15 or 3 × 15 or 7 × 15
M1
Follow through ‘their’ 15.
30°, 45° and 105°
A1
Degree symbols not needed.
8a
 4
 
 −1 
B1
8b
(1 + 4, 1 − 1)
M1
(5, 0)
A1
9a
3x(x + 2)
B1
9b
3x2 + 6x or 6x + 3x2
B1
9c
3 × 72 + 6 × 7
M1
189 cm2
A1
10a
<
B1
10b
<
B1
11
1−
2
5
3
5
12a
y
−8
−5
−2
1
4
Only this one chosen.
Accept any other valid method.
Accept 3x × (x + 2) or (x + 2) × 3x.
Or 3 × 7 = 21 and 7 + 2 = 9 and
21 × 9.
M1
Accept 1 − 0.4 or 100% − 40%.
A1
Accept 0.6 or 60%.
B2
B2 for all five correct.
B1 for two or more correct.
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
2
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST MARK SCHEME
Q
Answer
12b
Mark
Comment
B2
B2 for all 5 points plotted and joined
with straight line.
B1 for two or more points correctly
plotted.
M1
Substituting x = 12 into the equation
of the line.
or
Substituting y = 30 into the equation
of the line.
y = 3 × 12 − 5 (=31)
12c
or
30 = 3x − 5
y = 31 and ‘no’ ticked
or
2
x = 11 and ‘no’ ticked
3
13a
13bi
13bii
A1
B3
112 cm
118 + 119
or 118 and 119 identified
2
118.5 cm
B2 for all entries correct.
or
B1 for two or more rows correct.
and
B1 for a correct key.
B1
M1
A1
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
3
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST MARK SCHEME
Q
Answer
Mark
139 − 95
M1
44 cm
A1
14
5
7
4
and
and
6
15
9
M1
15a
14
B1
15b
3n + 2
B1
16a
3
B1
16b
(7, 2)
B1
16c
(7, 2)
B1
13biii
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
5
6
7
8
9
10 11
6
7
8
9
10 11 12
Comment
Only these three chosen.
B2
B2 for all entries in table correct.
B1 for 3 or more rows or columns
correct.
4
or 4 and 36 identified
36
M1
Follow through ‘their’ number of 5s
in the table.
1
9
A1
18
160 × 0.85
B1
19
2
x = 23 − 9 (= 14)
3
M1
Or 2 x + 9 × 3 = 23× 3.
M1
Or x =
17a
17b
x=
14 × 3
2
x = 21
69 − 27
.
2
A1
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
4
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST MARK SCHEME
Q
20
Answer
Mark
6.2 cm line and either 45° angle or
62° angle accurately drawn
B1
6.2 cm line and 45° angle and 62°
angle accurately drawn
B1
Triangle completed and line and
angles labelled with measurements.
B1
Total marks:
Comment
60
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
5