HSC Countdown #5

Isobel drew a graph of the height of a plant.

What is the gradient of the line?

• 1

• 5

• 7.5

• 10

What is the area of the triangle to the nearest square metre?

• 102 m²

• 153 m²

• 172 m²

• 178 m²

If $K=Ft^3,\ F=5\ and\ t=0.715$ what is the value of  $K$  correct to three significant figures.

• 1.82

• 1.827

• 1.828

• 1.83

A real estate agent sells a home for $ 2.3 million. From the selling price he earns $575 000 for his services.

Which term is used to describe the money earned?

• Commission

• Income tax

• Royalty

• Superannuation

What are the median and mode of the set of scores:

1, 3 , 3, 3, 4, 5, 7, 7, 12

• Median 3, Mode 5

• Median 3, Mode 3

• Median 4, Mode 5

• Median 4, Mode 3

• $8 310.40

• $9 109.60

• $9 110.00

• $10 310.40

• 40 litres

• 94 litres

• 940 litres

• 1060 litres

Tom drew a correct diagram that gave the solution to the simultaneous equations $y=2x-5\ and\ y=x+6$  . Which diagram did he draw?

• A

• B

• C

• D

Solve the following simultaneous equations $y=2x-5\ and\ y=x+6$  

•  $x=17,\ y=11$  
  

•  $x=11,\ y=17$  

•  $x=\frac{11}{3},\ y=\frac{29}{3}$  
  

•  $x=\frac{1}{3},\ y=\frac{19}{3}$  
  

Taffy purchased a camera for $880 while on holiday in Australia. This price included 10% GST. When she left Australia she received a refund of the GST.

What was Taffy's refund?

• $80

• $88

• $792

• $800