Mathematics · May / June 2024 · Paper 11 · Question 11
YMA01
As printed in the paper
The question as text
y 11. P O x Figure 4 Figure 4 shows a sketch of part of the curve C1 with equation y = 12 sin x where x is measured in radians. The point P shown in Figure 4 is a maximum point on C1
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
11(a)[2]
5
π
x
=
or y = 12
2
5
π
x
=
and y = 12
2
11(b)[2]
3
π
x
=
or
y
= −
21
2
3
π
x
=
and
y
= −
21
2
(
) 12
(c)(i)
A = −
(ii)
) 5
π
(
B
=
4
Notes:
Look for answers written in the body of the question or on the sketch.
In all cases, answers written in the body of the script take precedence over answers written on the
diagram.
for 5
π
π
Angles and numbers must be written as single terms e.g. not 2
π+
2
2
Penalise the use of degrees once the first time it occurs
e.g. (a) (450°, 12) (b) (270°, −21) (c) A = −12, B = 225° scores (a) B1B0 (b) B1B1 (c) B1B1
The degrees symbol is not required
If both coordinates in (a) and (b) are correct but the wrong way round score as B1B0 each time
5
π
3
π
e.g. (a)
12, 2
(b)
−
21, 2
scores (a) B1B0 (b) B1B0
If the coordinates in (a) or (b) are the wrong way round and only one is correct score as B0B0 each time
If the coordinates are the wrong way round and correct in degrees in (a) and (b)
e.g. (a) (12, 450°) (b) (−21, 270°) award (a) B0B0 (b) B1B0
The degrees symbol is not required
B1: One coordinate correct.
5
May be seen as x = … or y … or embedded in a coordinate pair e.g. 5
π
, 12
or in a vector
2
12
B1: Both coordinates correct.
5
π
May be seen as x = … and y … or as a coordinate pair e.g. 5
π
, 12
or as a vector
2
2
12
(b)
B1: One coordinate correct.
May be seen as x = … or y … or embedded in a coordinate pair e.g. 3
π
,
−
21
or in a vector
2
B1: Both coordinates correct.
3
π
May be seen as x = … and y … or as a coordinate pair e.g. 3
π
,
−
21
or as a vector
2
2
−
21
(c)(i)
B1: Correct value for A. The “A =” is not required but it must be clear it is the answer to (i) or is the value of A.
(ii)
B1: Correct value for B. The “B =” is not required but it must be clear it is the answer to (ii) or is the value of B.
If candidates write the values as a coordinate pair e.g. 5
π
5
π
,
−
12
or
−
12, 4
so it is not clear which value
4
is which, score B0B0
Pearson Education Limited. Registered company number 872828
with its registered office at 80 Strand, London, WC2R 0RL, United Kingdom
11(c)[2]
5
π
x
=
or y = 12
2
5
π
x
=
and y = 12
2
3
π
x
=
or
y
= −
21
2
3
π
x
=
and
y
= −
21
2
(
) 12
(c)(i)
A = −
(ii)
) 5
π
(
B
=
4
Notes:
Look for answers written in the body of the question or on the sketch.
In all cases, answers written in the body of the script take precedence over answers written on the
diagram.
for 5
π
π
Angles and numbers must be written as single terms e.g. not 2
π+
2
2
Penalise the use of degrees once the first time it occurs
e.g. (a) (450°, 12) (b) (270°, −21) (c) A = −12, B = 225° scores (a) B1B0 (b) B1B1 (c) B1B1
The degrees symbol is not required
If both coordinates in (a) and (b) are correct but the wrong way round score as B1B0 each time
5
π
3
π
e.g. (a)
12, 2
(b)
−
21, 2
scores (a) B1B0 (b) B1B0
If the coordinates in (a) or (b) are the wrong way round and only one is correct score as B0B0 each time
If the coordinates are the wrong way round and correct in degrees in (a) and (b)
e.g. (a) (12, 450°) (b) (−21, 270°) award (a) B0B0 (b) B1B0
The degrees symbol is not required
B1: One coordinate correct.
5
May be seen as x = … or y … or embedded in a coordinate pair e.g. 5
π
, 12
or in a vector
2
12
B1: Both coordinates correct.
5
π
May be seen as x = … and y … or as a coordinate pair e.g. 5
π
, 12
or as a vector
2
2
12
(b)
B1: One coordinate correct.
May be seen as x = … or y … or embedded in a coordinate pair e.g. 3
π
,
−
21
or in a vector
2
B1: Both coordinates correct.
3
π
May be seen as x = … and y … or as a coordinate pair e.g. 3
π
,
−
21
or as a vector
2
2
−
21
(c)(i)
B1: Correct value for A. The “A =” is not required but it must be clear it is the answer to (i) or is the value of A.
(ii)
B1: Correct value for B. The “B =” is not required but it must be clear it is the answer to (ii) or is the value of B.
If candidates write the values as a coordinate pair e.g. 5
π
5
π
,
−
12
or
−
12, 4
so it is not clear which value
4
is which, score B0B0
Pearson Education Limited. Registered company number 872828
with its registered office at 80 Strand, London, WC2R 0RL, United Kingdom
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