Mathematics

Home > Mathematics > General Mathematics > HSC Course > Measurement > M7: Spherical geometry > Quick quiz: A sample of multiple choice questions for this topic.

M7

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1. Find the length of an arc of a circle of radius 7.2 cm, if the arc subtends an angle of 240° at the centre.
5428.7 cm
 30.16 cm
 1728 cm

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2. Which diagram shows a great circle?


sphere 1


sphere 2


sphere 3

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3. The coordinates of M are:

sphere showing 20 degrees North and South and 160 degrees East

(160°E, 20°S)
 (20°S, 160°E)
 (20°N, 160°E)

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4. Write 978 km in nautical miles.
528.01 nautical miles
 1811.26 nautical miles
 1.89 nautical miles

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5. If it is 10am in Sydney (150°E), what is the time in Rome (14°E)?
7.04 pm
 12.56am
 7.44am

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6. Find the distance in nautical miles along the equator between the meridans 52°E and 93°E.
2460 nautical miles
 8700 nautical miles
 41 nautical miles

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7. A boat is travelling at an average speed of 8 knots. What distance will it cover in 6 hours? Give your answer in kilometres.
48 km
 89 km
 26 km

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8. Find the local time in Hong Kong (120°E) if it is 2pm GMT.
4pm
 6am
 10pm

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9. What is the distance in kilometres along the equator between the meridians 25°W and 12°W? Give your answer in kilometres correct to two decimal places.
10778.64 km
 2820 km
 1444.44 km

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10. Which letter A, B, C is located at (60°N, 40°E)

sphere showing various lines of longitude and latitude

A
 B
 C

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