LAKEWOOD INTERNATIONAL EXAMINATION COUNCIL

BOTSWANA SENIOR SECONDARY EDUCATION(BSSE)

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MATHEMATICS 1

BEARINGS

MARKS: 50 TIME:1 HOUR

CANDIDATE’S
FULL NAMES

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INSTRUCTIONS

1. Write full names in the space provided above.

2. Answer ALL questions
3. All answers must be written in the space provided
4. Show ALL necessary working
5. Calculators may be used in this paper

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DO NOT TURN THE PAGE UNTIL YOU ARE TOLD TO DO SO.
1

A ×120°
P
B

(a) Write down the bearing of B from P.

°
(1)
(b) Work out the bearing of A from P.

°
(1)
(Total for Question 1 is 2 marks)

2 N

A ×

×B
(a) Measure the bearing of B from A.

(b) Measure the bearing of A from B. (1)

°
(1)
(Total for Question 2 is 2 marks)
3 The accurate scale drawing shows the positions of boat A and boat B.

Boat C is on a bearing of 065° from A.

Boat C is on a bearing of 315° from B.

N
N

B×
A×

On the diagram, mark with a cross (×) the position of boat C on the diagram.
(Total for Question 3 is 2 marks)
4 The accurate scale drawing shows the positions of boat A and boat B.

N
Scale
2 cm represents 1 km

A×

B×

(a) Find the distance from A to B.

km
(b) Measure the bearing of B from A. (1)

°
(1)
Another boat C is 2.5 km from A on a bearing of 210°
(c) On the diagram, mark the position of boat C with a cross (×). (2)

(Total for Question 4 is 4 marks)

5 The accurate scale drawing shows the positions of point A and point B.

Point C is 8 cm from point A on a bearing of 070°

A×

B×

(a) Find the distance from B to C.

cm
(b) Find the bearing of C from B. (2)

°
(2)
(Total for Question 5 is 4 marks)
6 The accurate scale drawing shows the positions of point A and point B.
1 cm represents 100 m.

N
×B

A×

(a) Find the bearing of A from B.

(1)

Point C is 450 m from B on a bearing of 150°

(b) Draw point C, with a cross (×), on the diagram. (2)

(Total for Question 6 is 3 marks)

7 The accurate scale drawing shows the positions of two towns, town A and town B.
2 cm represents 1 km.

A×

B×

(a) Find the real distance between town A and town B.

(1)

Town C is 3.2 km from B on a bearing of 255°

(b) Draw the position of town C, with a cross (×), on the diagram. (2)

(Total for Question 7 is 3 marks)

8 Oxford is on a bearing of 330° from Cambridge.

Find the bearing of Cambridge from Oxford.

(Total for Question 8 is 2 marks)

9 The bearing of London from Liverpool is 130°

Find the bearing of Liverpool from London.

(Total for Question 9 is 2 marks)

 North North North
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North Nort
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110º 105º 105º 120º 45º B 125º 50º Q 85º
95º A B A
B Q P
A P 80º A70º P 65º B
CALCULATING BEARINGS BAA P A
A
BEARINGS
P
BETWEEN TWO POINTS
NO
B CALCULATOR
A
Q B B 285º
Q G443.
Ref: 2F1 280º
B
A1 Find the bearing of B from A A2 Find the bearing of B from A A3 Find the bearing of B from A A4 Find the bearing of B from A

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North North
North North
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North North North North North North North
North North North North North North 125º Nort
Nort
North North 120º
North 110º North
50º
North 85º NorthNorth 105º
110º B B A P
45º B Q B A Q 105º
A Q
A B230º A P 95º 50ºB
P P B 45º Q
A 80º
P A 70º A 65º B B P 255º
140º B A 245º
P B
A A A Q B 2B
B 285º 280º 275º P A P
Q BA A

B1 Find the bearing of A from B B2 Find the bearing of A from B B3 Find the bearing of A from B B4 Find the bearing of A from B
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North
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North North
North
NorthNorth NorthNorth North North
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North
North North North
North North North North North North North Nort
105º 120º 110º 125º 105º North
B North
B A 85º P A 95º NorthQ Nort
A 45º B 50º A Q
Q B Q P 105º 80º A P 120
P BA A P A AA
230º 140º 80º P BA
AA B PP 255º Q AA 245º BA
P 285º B A230º 280º 70º Q B 275º P 65º
A B 260º
B Q 280º B B
B Q 285º B B

C1 Find the bearing of A from B C2 Find the bearing of B from A C3 Find the bearing of B from A C4 Find the bearing of A from B
North North North North North
North
North
North North North North North
North North North North
North North North North
North North North
NorthNorth North
Nort
North North Nor
North
North North North North
North North
North North
North
North North North A
B 120º 110º 125º 105º
A P B
105º Q A
AA B 95º
AA P
P A 80º B A P B 70º Q 65º B
Q B230º 230º
A P 255º 245º PP B
280º 275º P B230º AA Q
140º A
285º B B A P
B
280º A QQ 285º BBA290º Q B
280º2
285º

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