Measuring lengths and angles, bearings

A path joins points A, B, and C. The scale drawing shows the path on a centimetre grid.

Write down the direction of B from A.

Work out the actual distance along the path from A to C.

Here is a scale diagram showing towns A, B and C on a centimetre grid.

Work out the actual distance from B to C. Give your answer in kilometres.

B is South East of A.

Write down the bearing of B from A.

Here is a scale diagram showing towns A, B and C on a centimetre grid.

Work out the actual distance from B to C. Give your answer in kilometres.

B is South East of A.

Write down the bearing of B from A.

Measure the shortest distance from point P to the line. Give your answer in millimetres.

Use a ruler for this question. Here is an accurate drawing of an equilateral triangle.

By measuring, work out the perimeter of the triangle. State the units of your answer.

Here is a triangle.

Measure the length of side x. Give your answer in millimetres.

Measure angle y.

y = °

The 3-figure bearing of B from A is 021 °

Work out the 3-figure bearing of C from A.

A, B and C are three points.

Work out the bearing of C from A.

Here is a square.

Use a ruler to measure a side length of the square. Give your answer in millimetres.

Here is a quadrilateral.

Use a protractor to measure the size of the smallest angle.

A different quadrilateral is drawn on a centimetre grid.

By counting squares, work out the area of the quadrilateral.

One side of a rectangle is drawn on this centimetre grid.

Complete the rectangle so that it has a perimeter of 20 cm

A ship sails from A on a bearing of 247 ° It travels at a constant speed of 23 mph for 1 hours. Is the ship now closer to B than it was when it left A? You must show your working.

What is the clockwise turn from North to East? Circle your answer.

45 ° 90 ° 270 ° 315 °

The scale drawing shows a tree and a student.

The actual height of the tree is 4.2 metres. Work out the actual height of the student.

B is 6 km due South of A and 6 km due West of C.

Work out the bearing of A from C.

Here is a scale drawing.

A ship is going to sail from D to E. Mia works out that the ship needs to sail on a bearing of 068 ° Why must Mia be wrong?

Point B is 400 metres north east of point A. Mark point B on the centimetre grid. Use a scale of 1 centimetre represents 100 metres.

Points C and D are shown on a different centimetre grid.

Work out the bearing of D from C.

Work out the actual distance, in metres, of D from C. Use the scale 1: 1000

Here is a map showing points A and B.

Kemal wants to measure the bearing of A from B. He draws two lines and measures the angle between them.

Kemal says that the bearing of A from B is 100° Is his method correct? Give a reason for your answer.

On a different map, the bearing of D from C is 045° Nina says, “ D is North West of C.” Is Nina correct? Give a reason for your answer.

This map shows an airport, E, on an island.

A plane flies due South from the airport. How far does it fly until it reaches the sea?

What is the angle of turn clockwise from South West to East?

Circle your answer.

45° 135° 225° 315°

The bearing of A from B is 310° Circle the bearing of B from A. 050° 110° 130° 220°

Here is a plan of a flat with four rectangular rooms.

On the grid on the opposite page, make an accurate scale drawing of the plan. Label each room. Use a scale of 1 cm represents 2 feet

Scale: 1 cm represents 2 feet

Here is a map of Cuba. 1.5 cm represents 200 km

Work out the actual distance from Havana to Holguin.

Here is a map of an island with cities A, B and C. The straight lines represent roads. Scale: 1 cm represents 200 km

A is due West of B. Write down the bearing of A from B.

Umar drives from A to B on the route shown. Kaz drives from B to C on the route shown. Use the map to work out how much further Umar drives than Kaz. You must show your working.

Here is a scale drawing.

The Ferris wheel has a height of 130 m Work out the height of the building.

Here is a map showing two towns, P and Q. Scale: 1 cm represents 50 km

Work out the actual distance between towns P and Q.

Town R is 200 km due South of town P. Mark R on the map.

Here is a map of a town. Scale: 1 cm represents 200 m

Which place is exactly North West of the Station? Circle your answer. Cinema Town Hall Library Park Monument

Circle the three-figure bearing of the Monument from the Park.

090° 180° 270° 360°

What is the distance, in metres, from the Cinema to the Station?

Why might the shortest walking distance from the Cinema to the Station be greater than your answer to part (c)?

Work out the bearing of C from A. Circle your answer.

030° 130° 150° 210°