Question
The scale of a map is $1:40 000$.
On the map the distance between two villages is 37cm. Calculate the actual distance between the two villages. Give your answer in kilometres.
▶️Answer/Explanation
$14.8$
The scale is 1 : 40,000, meaning 1 cm on the map represents 40,000 cm in real life.
To find the actual distance, multiply by the scale factor:
$
\text{Actual distance} = 37 \times 40,000
$
$
= 1,480,000 \, \mathrm{cm}
$
1 kilometre = 100,000 cm
$
1,480,000 \div 100,000 = 14.8 \, \mathrm{km}
$
Question
Pip and Ali share $785 in the ratio Pip:Ali = 4 :1.
Work out Pip’s share.
Answer/Explanation
Ans: 628
Question
The volume of a child’s model plane is 1200\(cm^3\).
The volume of the full size plane is 4050\(m^3\).
Find the scale of the model in the form 1:n.
Answer/Explanation
Ans:
1 : 150
Question
A car travels a distance of 1280 metres at an average speed of 64kilometres per hour.
Calculate the time it takes for the car to travel this distance.
Give your answer in seconds.
Answer/Explanation
Ans: 72