Scale Factor

Enlarge the triangle $ABC$ by scale factor $3$ about the point $P (8,8)$

Enlarge the triangle $ABC$ by scale factor $2$ about the point O.

A diagram of a bearing is shown below. Given that the bearing of $B$ from $A$ is $060°$, state the bearing of $A$ from $B$.

Two boats $A$ and $B$ are $5 km$ apart, and the bearing of $B$ from $A$ is $256°$.

Using the scale $1 cm : 1 km$, construct a diagram showing the relative positions of points $A$ and $B$.

 Use the legend to mark these on the map: Big Bug beach has a nest of Scorpions near it. Tin Pot Cave is $6 \mathrm{km}$ south-east of Snakesville. Spider Head is $4 \mathrm{km}$ south of Snakesville. Cockroach Cliff is $7 \mathrm{km}$ north of Spider Head.

A Legend gives information about places on a map. A map has a scale and it is shown above the figure. On this map, the treasure is at $\left(4,1\right)$ and is $50$ metres from the snake pit.

The distance of Campsite from Treasure is _____ m.

This is a map for a bike track.

In real life the distance cycled from the Entrance to the start doing $4$, laps and then going to the rest area and then going back to the Entrance again is _____ $\mathrm{m}$.

This is a map for a bike track.

In real life the distance from the start to the rest area and back again is _____ $\mathrm{m}$.

This is a map for a bike track.

In real life the distance from the marker $3$, past the marker $4$, and to the rest area is _____ $\mathrm{m}$.

This is a map for a bike track.

In real life the distance from the Entrance to the start of the track is _____ $\mathrm{m}$.

The diagram shows a rectangular field. There is a path, shown by the broken line, leading from the gate into the field to the door of the barn. A goat is tied to the corner, $C$ of the field. Using a scale of $1 \mathrm{cm}$ to represent $10 \mathrm{m}$, a scale diagram is made.

What will be the length of the Path (in $\mathrm{cm}$) in the diagram?

This map has a scale of $1:80000$.

Use a ruler to measure the distance, in $\mathrm{cm}$, from Letterson to Wolf's Castle.

The scale drawing of Visuri's bedroom is drawn on centimetre squared paper. The scale is $1$ to $25$. Work out the length of the wall $AB$$(\mathrm{in} \mathrm{m})$ in real life.

The Map given here shows the state of Himachal Pradesh. On this map, $1 \mathrm{cm}$ represents $29 \mathrm{km}$. Read this map carefully and using it, answer the following question.

About how many kilometres away is Manali from Kullu. If the distance between them on the map is $1.5 \mathrm{cm}$ $?$

If the required answer is $\mathrm{X} \mathrm{km}$, then write the value of $\mathrm{X}$ in answer box.

The Map given here shows the state of Himachal Pradesh. On this map, $1 \mathrm{cm}$ represents $29 \mathrm{km}$. Read this map carefully and using it, answer the following question.

  

About how many kilometres away is Mandi from Shimla $?$ If the distance between them on the map is $2 \mathrm{cm} ?$

If the required answer is $\mathrm{X} \mathrm{km}$, then write the value of $\mathrm{X}$ in answer box.

The diagram below shows a student’s scale drawing of her classroom, Read the drawing and answer the following question.

What is the distance between the real doorway and the real round table (in metre) $?$

If the required answer is $k \mathrm{m}$, then write the value of $k$ in answer box.

The diagram below shows a student’s scale drawing of her classroom, Read the drawing and answer the following question.

In the diagram, if the distance (in centimetres) between the doorway and the round table is $k \mathrm{cm}$ then find $k$.

The scale is used in the map shown is $1 \mathrm{cm}=$ _____ $\mathrm{km}$.

_____ can be used to reduce or enlarge any picture (scale / $\mathrm{km}$).

Map shows _____ version of the original (smaller/larger)