Past HSC questions review - 1

Minjy invests $2000 for 1 year and 5 months. The simple interest is calculated at a rate of 6% per annum. What is the total value of the investment at the end of this period?

• $2170

• $2180

• $3003

• $3700

• 16

• 36

• 48

• 60

• 030°

• 150°

• 210°

• 330°

During a flood 1.5 hectares of land was covered by water to a depth of 17 cm. How many kilolitres of water covered the land? (1 hectare = 10 000 m²)

• 2.55 kL

• 2 550 kL

• 255 000 kL

• 2 550 000 kL

In Australia, a birth occurs every 2 minutes and 35 seconds. Approximately how many births occur in one hour?

• 23

• 25

• 141

• 155

Blue and yellow paints are mixed in the ratio 5 : 3 to make green paint. In making a batch of green paint, the number of litres of blue paint was 12 more than the number of litres of yellow paint. How much green paint was produced in this batch?

• 19.2 L

• 32 L

• 48 L

• 96 L

Vanessa used five 2-litre bottles of lemonade and three 1-litre bottles of grape juice to make a special drink for a party. The lemonade cost $2.20 per bottle and the grape juice cost $1.80 per bottle. Find the cost per litre of the special drink

• $1.26

• $2.05

• $2.11

• $3.43

• $h\ =\ \frac{9}{\sin12\degree}$

• $h\ =\ \frac{9}{\sin78\degree}$

• $h=9\sin12\degree$

• $h=9\sin78\degree$

A new colour of paint is made using a mixture of red, yellow and white paint in the ratio 2 : 3 : 6. If the new paint comes in two-litre tins, how much yellow paint (to the nearest mL) is needed in each two-litre tin?

• 364 mL

• 545 mL

• 667 mL

• 1091 mL

A car is travelling at a speed of v kilometres per hour. This speed can be converted to metres per second by using the expression:

• $\frac{1000\times v}{60\times60}$

• $\frac{60\times60\times v}{1000}$

• $1000\times60\times60\times v$

• $\frac{v}{1000\times60\times60}$