Do the splits
Divide 70 metres of rope into the ratio 3:4
30 m and 40 m
Simplify the ratio 4:8
1:2
If the scale ratio of a map is 1:10000, find the actual distance, in metres, if the scale distance is 12 cm.
1200 m
A map has a scale ratio of 1:5000. Calculate the scale distance, in cm, that represents an actual distance of 120 m.
2.4 cm
Express the rate of 40 packets in 8 seconds in its simplest form.
5 packets / second (5 packets per second)
Alice and Bec split 80 lollies in the ratio of 4:6. How many lollies to each receive?
Alice is 32 lollies, Bec is 48 lollies.
Write the ratio 96:144 in its simplest form.
2:3
If the scale ratio is 1:3200, find the actual length, in km, if the scale length is 1500 mm.
4.8 km
If the scale ratio of a map is 1:300000, what distance, in cm, would be measured on the map that is equivalent to 24 km in the real world?
8 cm
A leaky tap drips 15 mL per minute. Calculate how much water is lost in half an hour.
450 mL
Divide $900 in the ratio of 3:1:2.
$450, $150 and $300
Write the ratio 45:54 in its simplest form.
5:6
11 m
If the scale ratio of a map is 1:50000, what is the scale distance (in mm) that represents an actual distance of 80 m?
1.6 mm
A mining plant processes 3500 tonnes of ore in 3 hours. Calculate the rate of processing rocks in tonnes per hour.
1166.67 tonnes / hr
Divide 585 cattle amongst two farmers in the ratio of 4:9.
180 cattle and 405 cattle
Steph is at the park and sees 20 ducks along with 35 geese. Express the ratio of ducks : geese in its simplest form.
4:7 (ducks : geese)
What is the scale ratio of a map where 6 cm scale distance is the same as 600 m of actual distance?
1:10000
What is the scale ratio of a map where 12 cm on the map is the same as 600 m in the real world?
1:5000
An investment account earns Marcie $650 in a six month period. How much money would the account earn in 3 years?
$3900
Water is mixed with cordial in the ratio of 7 parts water to 2 parts cordial. How much water is required to mix in with 90 mL of cordial?
315 mL water
If the simplest form of the ratio x:32 is 1:4, what is the value of x?
x = 8
If 5 cm on a map is the same as 40 m in the real world, what would be the actual distance represented by 20 cm on the same map?
160 m
Taylah needs to draw a house plan with a length of 30 metres on a piece of paper with length 20 cm. What would be the scale factor if Taylah uses the entire piece of paper for her house plan?
1:150
Georgia travels 24 km in 3 hours, then travels a further 32 km in 1.5 hours. What is Georgia's average speed for the entire journey in km/h?
12.44 km/h