8MM Ratios and Rates Quiz

What is the ratio of 8 hours to 1 day?

• 1:2
• 1:3
• 2:5
• 3:7

Answer explanation

Values need to be the same unit before written as a ratio. 8 hours to 1 day is 8 hours : 24 hours which simplifies to 1 : 3

The ratios of cows to sheep on a farm is 3:8. If there are 240 cows on the farm, how many sheep are there?

• 640
• 560
• 480
• 320

Answer explanation

Find what do we need to multiply 3 by to get 240 (i.e., solve 240 divide by 3). Then multiply the sheep ratio value by this value to get the number of sheep.

The ratio of 3.5 kg to 56 kg is

• 8 : 1

• 1 : 16

• 16 : 1

• 28 : 3

Answer explanation

Multiply both sides by 10 to make them whole numbers and then simplify the ratio.

Using a scale of 1 : 100 000, what is the real length represented by a distance on a map of 5 cm?

• 5 m

• 500 m

• 50 m

• 5 km

Answer explanation

Multiply 100 000 by 5. This gives us 500 000 cm = 5000 m = 5 km

If you divide $65 in the ratio 6 : 7, what is the smaller part?

• $35
• $25
• $40
• $30

Answer explanation

Find the total number of parts. Divide the quantity by the total number of parts and multiply the smaller ratio value by this value.

Leo and Ben Share $12 000 in the ratio 2:3. What is Ben's share?

• $5,000
• $7,200
• $8,500
• $10,000

Answer explanation

Find the total parts in the ratio, divide the quantity by the total parts and multiply Ben's ratio by this value.

• 80 km/h
• 70 km/h
• 90 km/h
• 50 km/h

Answer explanation

Speed is found by getting the distance and dividing it by the time.

A rate of 7.2 litres per hour is how many millilitres per second?

• 1.5
• 2
• 3.5
• 5.2

Answer explanation

Covert 7.2 L to mL (7200 mL) and 1 hour to seconds (3600).

A car travels 24 km between 9:30AM and 10:15AM. What is its average speed in km/h?

• 36 km/h
• 32 km/h
• 28 km/h
• 20 km/h

Answer explanation

Time = 45 mins = 0.75 hours

Whilst travelling 100 km a car uses 20 L of petrol. At this rate, how many litres of petrol are needed to travel 1 km?

• 2 L
• 10 L
• 15 L
• 0.2 L

Answer explanation

100 km = 20 L, therefore 1 km = 20/100 L