HSC Standard 2 Ratio and Rates 2

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Jim’s watering can is initially filled with 10 litres of water. However, the watering can has a small hole in the base and is leaking at a rate of 0.7 litres per minute. What linear equation describes this situation?

1 point

V = –0.7t + 10

V = –0.7t – 10

V = 0.7t + 10

V = 0.7t – 10

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The graph shows a comparison of petrol consumption for two vehicles with the same fuel tank capacity. The petrol consumption of the vehicles is measured in Litres/100 km. What is the approximate difference in petrol consumption for the two vehicles?

1 point

4 L/100 km

4.8 L/100 km

20.2 L/100 km

25 L/100 km

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What is the smallest share if $798 is divided in the ratio 1 : 3 : 2?

1 point

$133

$266

$399

$532

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A 4 L tin of paint is made using a mixture of blue, white and green paint in the ratio 3:5:2.How much blue paint is needed per tin?

1 point

300 mL

1200 mL

1800 mL

2000 mL

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A car uses on average 7 L per 100 km in fuel. How much fuel would be used on a trip of 382 km?

1 point

26.74 L

34.72 L

38.20 L

54.57 L

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The ratio of 1.5 m to 10 cm is:

1 point

1.5:10

1:15

15:10

15:1

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Betty has planted red and white rose bushes in the ratio 2:3. How many white rose bushes are there if she planted a total of 30 rose bushes?

1 point

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Jim uses a 1.6-kilowatt dishwasher for a total of 2.5 hours. He is charged at a rate of 27.4 cents per kilowatt-hour. What is the cost of using the dishwasher?

1 point

$1.10

$1.12

$4.00

$109.60

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Jim breathes about 15 times each minute. How many times would he breathe in 9 hours?

1 point

216

8 100

486 000

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When in use, an appliance uses 840 W. How much power is consumed in one week if the appliance is used every morning from 7:20 to 8:40?

1 point

7.056 kWh

7.84 kWh

7.96 kWh

8.635 kWh

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