Mathematics

Home > Mathematics > General Mathematics > HSC Course > Measurement > M5: Further applications of area and volume > Quick quiz: A sample of multiple choice questions for this topic.

M5

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1. The area of this sector is:

sector radius 8cm, angle 60 degrees

201.06 cm2
 33.51 cm2
 50.27 cm2

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2. The shaded area shows an annulus with an inside circle of radius 3 cm and an outside circle of radius 7cm.

    The area of the annulus is:

annulus

125.66 cm2
 12.57 cm2
 25.13 cm2

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3. Calculate the area of this half-ellipse (correct to 2 decimal places).

half-ellipse

62.83 cm2
 31.42 cm2
 15.71 cm2

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4. Calculate the shaded area.

rectangle 7cm x 10 cm containing right angle triangle base 8cm height 10cm

70 cm2
 150 cm2
 110 cm2

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5. Use Simpson's Rule to estimate the area of this figure.

irregular shape

101.3 m2
 49.3 m2
 304 m2

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6. Calculate the surface area of this closed cylinder.

closed cylinder

678.58 cm2
 791.68 cm2
 2035.75 cm2

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7. The surface area of a cylinder, open at one end, with a diameter of 12 cm is 1281.8 cm2.

    What is its height?

Approximately 28 cm
 Approximately 34 cm
 Approximately 31 cm

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8. Calculate the surface area of a sphere with radius 3.6 cm correct to 2 dp.
162.86 cm2
 45.24 cm2
 651.44 cm2

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9. Find the volume of this pyramid.

rectangular pyramid
102.65 cm3
 616 cm3
 205.3 cm3

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10. The volume of a cube is 75 cm3. Find the length of its side, correct to 1 dp.
8.7 cm
 4.2 cm
 25.0 cm

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