Page 165 - Cambridge+Checkpoint+Mathematics+Coursebook+9

End-of-unit review

End-of-unit review

1 For each diagram, write down the bearing of B from A.
a b c d B
N N N N

B
A A A A

B

B
2 For each diagram:
i write down the bearing of Q from P
ii work out the bearing of P from Q.
a b c N d
N N N
N N N
N
Q P
124°
65° Q P P 236°
P 308° Q
Q
Not drawn accurately
3 A ship leaves harbour and sails 90 km on a bearing of 140°. It then sails 120 km on a bearing of 050°.
a Make a scale drawing of the ship’s journey. Use a scale where 1 cm represents 10 km.
b How far must the ship now sail to return to the harbour?
c On what bearing must the ship now sail to return to the harbour?

4 Sion lives 12 km north of Amir.
Sion leaves home and cycles 18 km to Newtown.
He cycles on a bearing of 145°.
Amir leaves home and cycles to meet Sion at Newtown.
How far, and on what bearing does he cycle?
5 A map has a scale of 1 : 25 000.
a On the map a footpath is 22 cm long. What is the length, in km, of the footpath in real life?
b In real life a road is 14 km long. What is the length, in cm, of the road on the map?
6 Rhodri takes part in a charity cycle ride. Checkpoints Distance on map (cm)
The table shows the distances, on the map, between
consecutive checkpoints on the cycle route. Start to A 3.4
The map has a scale of 1 : 500 000. A to B 5.6
Rhodri raises $24 for charity for every kilometre he cycles. B to C 4.7
What is the total amount that Rhodri raises for charity?
C to Finish 2.3

164 17 Bearings and scale drawing