He draws two lines and measures the angle between them.
Kemal says that the bearing of \(A\) from \(B\) is \(100^\circ\)
Is his method correct?
Give a reason for your answer. [1 mark]
(b) On a different map, the bearing of \(D\) from \(C\) is \(045^\circ\)
Nina says,
“\(D\) is North West of \(C\).”
Is Nina correct?
Give a reason for your answer. [1 mark]
(c) This map shows an airport, \(E\), on an island.
Scale: 1 cm represents 100 km
A plane flies due South from the airport.
How far does it fly until it reaches the sea? [3 marks]
Mark scheme (a)
Answer
Mark
Comments
No and correct reason or No and correct description of correct method or No and 280(°)
B1
eg No, he has done B from A No, the North line should go from B
Additional guidance
Ignore non-contradictory, irrelevant responses alongside a correct response
Answer must either include ‘No’ or ‘Kemal is wrong’ oe
Ignore diagram if B1 scored from answer lines
No, it is 280
B1
No, should start / measure from B
B1
No, it’s from the wrong point
B1
Kemal is wrong, he started from A (and went to B)
B1
No and a correct method/drawing shown in either box
B1
No, the bearing should be reflex
B1
No, he did A to B (not A from B)
B1
No, should be anticlockwise
B0
No, measured the wrong way around
B0
No, bearing would be 260
B0
(It should be) 280 (not sufficient to imply ‘no’)
B0
No, he measured from A which is 100 but you’re meant to measure from B which is 170
B0
Bearing should start from B (should is not sufficient to imply ‘no’)
B0
Not measured from B
B0
Started from A (and went to B)
B0
No, it’s from the wrong place
B0
Mark scheme (b)
Answer
Mark
Comments
No and correct reason
B1
eg No, it’s North East No, NW is 315(°)
Additional guidance
Reasoning may be seen on diagram. The angles do not need to be accurate if intention is clear.
No, you’ve gone anticlockwise
B1
No, NW lies between 270 and 360 (but 045 is between 0 and 90)
B1
No, D is NE of C
B1
Do not accept incorrect statements eg No, North West is 225°
B0
No, C is SW of D (true but not referencing what Nina says)
B0
045 is NE
B0
D is NE of C
B0
No, it will be larger
B0
Mark scheme (c)
Answer
Mark
Comments
Line drawn due South from \(E\) (any length) or [4.3, 5.1]
M1
mark intention on ‘south’ mark intention on ‘line’ accept a cross on coast roughly south of E
their value \(\times\) 100
M1
[430, 510] implies M2 eg \(1.3 \times 100\)
[450, 490] and correct for their value
A1
SC1 600 [450, 490] scores M1M1A1 unless error seen
Additional guidance
Line drawn or no line drawn and \(4.6 \times 100 = 465\) (within range but not correct for their value)
M1M1A0
No line drawn and \(4.2 \times 100 = 420\)
M0M1A0
600 may score up to M2, only award SC1 if M0 scored
If line goes North as well as South of E, working must choose the South direction length (in range) for at least 1st M1 (but 2nd M1 could still be scored)
If line does not reach coast or goes beyond coast, full marks can still be awarded for a correct method with correct answer within range
Ignore units throughout eg \(4.8 \times 100 = 480\) cm
