22. Bearings

Question 1

Using the diagram below:

1(a):

What is the bearing of $A$ from $B$?

ANSWER: Simple Text Answer

Answer: $315\degree$

Workings:

Angles at a point equal $360\degree$.

$360 - 45 = 315\degree$

Marks = 1

 

1(b):

What is the bearing of $B$ from $A$?

ANSWER: Simple Text Answer

Answer: $135\degree$

Workings:

Angles at a point equal $360\degree$.

$360 - 225 = 135\degree$

Marks = 1

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Question 2

Using the diagram

2(a):

What is the bearing of $B$ from $A$?

ANSWER: Simple Text Answer

Answer: $60\degree$

Workings:

Right angles equal $90\degree$.

$90 - 30= 60\degree$

Give bearing as $060\degree$

Marks = 1

 

2(b):

What is the bearing of $A$ from $B$

ANSWER: Simple Text Answer

Answer: $240\degree$

Workings:

Angles in a triangle equal $180\degree$

$180 - 90 - 30 = 60\degree$

$180 + 60 = 240\degree$

Marks = 1

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Question 3

The location $C$ is on a bearing of 140° from $A$.

The bearing of C from B is 250°.

Which diagram gives an approximation for position $C$.

ANSWER: Multiple Choice (Type 2)

A:

B:

C:

D:

Answer: A

Workings:

Drawing the bearings gives the lines $AC$ and $BC$

The point of intersection of these lines is where point $C$ lies.

Marks = 3

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Question 4

A map with a scale is given below.

4(a):

Using the diagram, find the bearing of Flamborough from Aberdeen.

ANSWER: Simple Text Answer

Answer: $115\degree$

Workings:

Using the protractor and given line, read off the value to find the bearing.

Marks = 1

 

4(b):

Using the diagram, find the bearing of Crewe from Birmingham.

ANSWER: Simple Text Answer

Answer: $235\degree$

Workings:

Using the protractor and given line, read off the value to find the bearing.

Marks = 1

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Question 5

Starting at point $A$, Freya makes a journey as follows:

$8$km on a bearing of $135$° to $B$

$4$km, on a bearing of $180$° to $C$

$6$km on a bearing of $315$° to $D$

Which diagram represents her journey?

ANSWER: Multiple Choice (Type 2)

A:

B:

C:

D:

Answer: A

Workings:

Draw the lines onto a piece of paper using the given bearings.

The final drawing should match the right answer.

Marks = 3

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Question 6

The bearing of $C$ from $A$ is $190$°, and $C$ is $5$km from $A$.

The bearing of $D$ from $B$ is $270$°, and $D$ is $7$km from $A$.

Which diagram gives an approximation for positions $C$ and $D$.

ANSWER: Multiple Choice (Type 2)

A:

B:

C:

D:

Answer: A

Workings:

Draw the lines onto a piece of paper using the given bearings.

The final drawing should match the right answer.

Marks = 2

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Question 7

George needs to take the route as follows.

$6$km on a bearing of $080$° from $A$ to $B$

$5$km on a bearing of $160$° from $B$ to $C$

Which diagram gives an approximation for the route taken?

ANSWER: Multiple Choice (Type 2)

A:

B:

C:

D:

Answer: A

Workings:

Draw the lines onto a piece of paper using the given bearings.

The final drawing should match the right answer.

Marks = 3