HSC Countdown 3

• 11 %

• 12 %

• 29 %

• 43 %

A sphere has a volume of 360 cm³.

What is the radius (correct to one decimal)?

• 1.7 cm

• 4.4 cm

• 8.1 cm

• 9.3 cm

The Great Pyramid of Egypt has a square base of side 230 m. Its perpendicular height is 135 m.

What is the volume of the Pyramid?

• 10 350 m³

• 1 397 250 m³

• 2 380 500 m³

• 7 141 500 m³

The game of Beach Quidditch is played with a large hollow spherical ball made of gold vinyl. The diameter of the ball is 1.2 metres.

If the vinyl costs $32 per square metre, which of the following is closest to the cost of the vinyl for one ball?

• $29

• $145

• $232

• $579

This is a sketch of a sector of a circle. Find the value of

 $\theta$  to the nearest degree.

•  $47\degree$  

•  $48\degree$  

•  $68\degree$  

•  $69\degree$  

• A

• B

• C

• D

What does the line chart represent in a Pareto chart?

• A cumulative percentage

• A frequency

• A relation

• the standard deviation

Students were surveyed about the number of movies they had watched in the last week. The results are shown in this cumulative frequency histogram.

How many students said they watched four movies last week?

• 5

• 10

• 25

• 35

In one year, the population of a city increased by 20%. The next year, it decreased by 10%.

What was the percentage increase in the population over the two years?

• 8%

• 10%

• 15%

• 30%

The graph shows the tax payable for taxable incomes up to $60 000 in a proposed tax system.

How much of each dollar earned over $30 000 is payable in tax?

• 10 cents

• 12 cents

• 20 cents

• 23 cents