Scale factors, scale diagrams & maps

The diagram below shows two towns, A and B, on a map.

The scale of the map is 1 cm represents 4·5 km.

Find the straight-line distance from town A to town B.

Give your answer in kilometres.

Find the bearing of town A from town B.

Find the straight-line distance from town A to town B.

Give your answer in kilometres.

Find the bearing of town A from town B.

On the map, shade the region containing all the points that are: • closer to town A than to town B, and

• less than 27 km from town B.

The diagram below shows two towns, A and B, on a map.

The scale of the map is 1 cm represents 4·5 km.

On the map, shade the region containing all the points that are: • closer to town A than to town B, and

• less than 27 km from town B.

A B C is a large triangle, where A C = 16 m and B C = 13 m.

Draw a scale drawing of this triangle using the following scale:

1 cm represents 2 m.

The side A B has already been drawn accurately.

What is the size of A C B ?

A B C is a large triangle, where A C = 16 m and B C = 13 m.

What is the actual length of A B in the large triangle?

Point A and point B are shown in the scale drawing below.

Point C is 35 km from point B on a bearing of 300°.

Complete the scale drawing to show the position of point C.

Use your scale drawing to calculate • the actual length of AC, in kilometres,

• the bearing of point C from point A.

Point A and point B are shown in the scale drawing below.

Point C is 35 km from point B on a bearing of 300°.

Complete the scale drawing to show the position of point C.

Use your scale drawing to calculate • the actual length of AC, in kilometres,

• the bearing of point C from point A.

Two sides of a parallelogram ABCD are drawn accurately below. Using only a ruler and a pair of compasses, complete an accurate drawing of the parallelogram.

You must show all your construction arcs.

The line XY below forms part of a scale drawing of a garden. The scale drawing has a scale of 1:200.

What is the actual distance between point X and point Y in the garden?

Give your answer in metres.

Actual distance between point X and point Y =_{……………........ ….…………} metres

Two sides of a parallelogram ABCD are drawn accurately below. Using only a ruler and a pair of compasses, complete an accurate drawing of the parallelogram.

You must show all your construction arcs.

The line XY below forms part of a scale drawing of a garden. The scale drawing has a scale of 1:200.

What is the actual distance between point X and point Y in the garden?

Give your answer in metres.

Actual distance between point X and point Y =_{……………........ ….…………} metres

Draw an accurate scale drawing of the triangle shown above.

Use your scale drawing to calculate the actual length of side BC.

Give your answer in metres.

Actual length of BC =_{………........ ……..} metres

Draw an accurate scale drawing of the triangle shown above.

Use your scale drawing to calculate the actual length of side BC.

Give your answer in metres.

Actual length of BC =_{………........ ……..} metres