Rates (Y11 ME)

If a runner travels 3km in 10 mins and 20 secs, the runner's average speed in m/s is:

• 5 m/s

• 5.24 m/s

• 4.84 m/s

• 4.64 m/s

The speed limit around schools is 40 km/h. This rate when converted to m/s is:

• 144 m/s

• 120 m/s

• 11.1 m/s

• 12.5 m/s

On average, Ethan kicks 2.25 goals per game of soccer. In a 16 game season the number of goals Ethan would kick is:

• 32

• 36

• 30

• 38

If car A travels at 60 km/h and car B travels at 16 m/s, which of the following statements are correct?

• They travel at the same speed

• car A travels 0.67 m/s slower then car A

• car A travels 44 km/h faster than car B

• car B travels 0.67 m/s slower than car A

At the gym Hannah and Chelsea were doing a skipping exercise. Hannah completed 130 skips in one minute, whereas Chelsea skipped at a rate of 40 skips in 20 seconds. In 3 minutes of skipping, which statement is correct?

• Chelsea completes 20 more skips

• Hannah completes 20 more skips

• Hannah completes 30 more skips

• Chelsea completes 30 more skips

The Shinkansen train in Japan travels at a speed of approximately 500 km/h. The distance from Broome to Melbourne is approximately 4950 km/h. How long, to the nearest minute, would it take the Shinkansen train to cover the distance?

• 9 hrs 54 mins

• 0.1 hours

• 10 hours

• 9 hours 56 minutes and 48 secs

If the cost of food per week for a family is $231 and the cost of petrol per month is $159.60, the corresponding costs for food and petrol per day are:

• food $7.70 & petrol $5.32

• food $5.32 & petrol $32

• food $7.70 & petrol $22.80

• food $33 & petrol $5.32

a rate of 86.4 L/h is equivalent to:

• 24 mL/sec

• 24 L/sec

• 1.44 mL/min

• 24 mL/min

A sedan, a wagon and a 4WD are travelling the same distance of 159 km. The sedan uses 20L for this trip, the wagon uses 22L and the 4WD uses 25L. The fuel consumption for the 4WD, wagon and sedan in that order are:

• 13.8 L/100 km 15.7 L/100 km 12.6 L/100 km

• 15.7 L/100 km 12.6 L/100 km 13.8 L/100 km

• 15.7 L/100 km 13.8 L/100 km 12.6 L/100 km

• 13.8 L/100 km 15.7 L/100 km 12.5 L/100 km

A dragster covers a 400m track in 8.86 sec. What is its average speed in m/s ?

• 45.15 m/s

• 45.14 m/s

• 50 m/s

• 50.14 m/s