Mathematics

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

M7

  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
    answer

     
  2. Which diagram shows a great circle?
     

    • sphere 1
       

    • sphere 2
       

    • sphere 3
       
    answer

     
  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)
    answer

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

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

     
  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
    answer

     
  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
    answer

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

     
  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
    answer

     
  10. Which letter A, B, C is located at (60°N, 40°E)
     
    sphere showing various lines of longitude and latitude
     
    • A
    • B
    • C
    answer

     

Answers

  1. 30.16 cm
     

  2. sphere 1
     

     
  3. (20°S, 160°E)
     
  4. 528.01 nautical miles
     
  5. 12.56am
     
  6. 2460 nautical miles
     
  7. 89 km
     
  8. 10pm
     
  9. 1444.44 km
     
  10. C
     


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