OCR GCSE Maths
Topic questions Geometry and measures Measuring lengths & angles, bearings
10 questions · 41 marks · about 35 minutes
The scale drawing shows the positions of ship A and ship B.
Scale: 1 cm represents 6 km
Find the actual distance between ship A and ship B.
Ship C is 33 km from ship B on a bearing of 285°.
On the scale drawing, mark and label the position of ship C with a cross.
Measure angle x.
The angles of a triangle are 27°, 126° and 27°.
Explain how you know the triangle is isosceles.
Complete the drawing of the parallelogram.
Include notation to show that the drawing is a parallelogram.
Work out the area of the parallelogram.
B is 12 km due east of A. C is south-east of A and on a bearing of 225° from B.
Complete the diagram to show the positions of A, B and C. Show clearly the values of all three angles in triangle ABC.
Scale: 1 cm represents 2 km
B is 12 km due east of A. C is south-east of A and on a bearing of 225° from B.
Complete the diagram to show the positions of A, B and C. Show clearly the values of all three angles in triangle ABC.
Scale: 1 cm represents 2 km
The scale diagram below shows the position of two castles, J and K.
Scale: 1 cm represents 2 km
The bearing of a tower from castle J is 072°. The bearing of the tower from castle K is 116°.
Use construction to find the distance from castle J to the tower. Give your answer to the nearest 0.1 km.
Measure the length of this line.
The diagram shows an angle.
Measure the angle.
Write down the mathematical name of this type of angle.
Write down the mathematical name of this type of angle. Choose from the list in the box.
Measure angle g.
Four points A, B, C and D are shown on the scale diagram below.
Scale: 1 cm represents 5 m
On the diagram, construct and mark the two points that are
• the same distance from A and B
and
• 15 m from C.
Show all your construction lines.
The points A, B, C and D represent the four corners of Monty’s garden. His garden is bounded by four straight fences A to B, B to C, C to D and D to A.
Monty wants to plant a tree in his garden at a place that satisfies the two conditions in part
Explain why there is only one position where Monty can plant his tree.
Measure angle a.
Write down the mathematical name of this type of angle.
Choose one of these words to complete the following sentence.
These are........ lines.
A and B are two farms on this map.
Use the map to complete these sentences.
The distance from A to B is........ km.
The bearing of B from A is........ °.
C is another farm. C is 2.5 km from B on a bearing of 230°.
Mark and label the position of C on the map with a cross.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
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