Question 1
29392

On a scale map is \(1:25000\). If the measured distance between two towns on the map is 12 cm, what is the actual distance between two towns? 

\(3~\text{km}\)

\begin{aligned}
\text { Let } M&=\text {map distance } \\
A=&\text { actual distance } \\
\therefore M&: A=1: 25000 \\
12&: A=1: 25000 \\
A&: 12=25000: 1 \\
\frac{A}{12}&=\frac{25000}{1} \\
\therefore A &=25000 \times 12 ~\mathrm{cm} \\
&=300000 \mathrm{~cm} \\
&=3000 \mathrm{~m}\\
&=3 \mathrm{~km}\\
\end{aligned}

Question 2
10791

A square has a side length of 4 cm. If the side length is doubled, then the ratio of the area of the original square to the larger square is?

\(1:4\)

Question 3
10793

In a particular school the ratio of boys to girls is \(5:7\). If the total student population is 756, then the number of girls is?

\(441\)

Question 4
10795

Three sides of a triangle in the ratio \(3:4:5\). If the longest side of the triangle is 11.5 cm then the perimeter of the triangle is?

\(\text{27.6 cm}\)

Question 5
10796

There are a total of 68 balls. The ratio of the number of blue balls to red balls is \(1:2\). The ratio of the number of red balls to green balls is \(3:4\). How many green balls are there?

\(32\)