IGCSE Math RevisionQuestion 1
A plan uses a scale of \(1\) cm to \(5\) m. A path is \(7.4\) cm long on the plan.
How long is the real path?
Show the worked answer
- \(7.4 \times 5 = 37\) m
Answer: \(37\) m
Cambridge IGCSE Maths (0580) · Topic 4: Geometry · 4.3
Cambridge IGCSE Maths 0580 Scale Drawings and Bearings Questions
Scale Drawings and Bearings questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.
- 9 questions
- 9 Core
- 7 non-calculator
- Free, no sign-in
What the syllabus asks
- 4.3 Scale drawings Core
Draw and interpret scale drawings; Use and interpret three-figure bearings.
Summarised in our own words: check the exact wording in the official 0580 syllabus.
Scale Drawings and Bearings questions: Core
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Question 2
A drawing has a scale of \(1 : 200\). A wall is \(9\) m long.
How long is the wall on the drawing, in centimetres?
Show the worked answer
- \(9\) m \(= 900\) cm.
- \(900 \div 200 = 4.5\) cm
Answer: \(4.5\) cm
Question 3
A scale drawing uses a scale of 1 cm to 5 m. A wall is 23 m long. How long is the wall on the drawing?
Show the answer and mark scheme
- M1 23 ÷ 5
- A1 4.6 cm
Answer: \(4.6\) cm
Question 4
The bearing of \(B\) from \(A\) is \(070°\).
Find the bearing of \(A\) from \(B\).
Show the worked answer
- The back bearing differs by \(180°\): \(070° + 180° = 250°\).
Answer: \(250°\)
Question 5
The bearing of \(Q\) from \(P\) is \(305°\).
Find the bearing of \(P\) from \(Q\).
Show the worked answer
- \(305° - 180° = 125°\) (subtract when the bearing is more than \(180°\)).
Answer: \(125°\)
Question 6
A ship sails south-west. Write its direction as a three-figure bearing.
Show the worked answer
- South is \(180°\); south-west is halfway between south (\(180°\)) and west (\(270°\)).
Answer: \(225°\)
Question 7
Write down the three-figure bearing of
(a) south-west (b) north-east.
Show the answer and mark scheme
- B1 (a) 225°
- B1 (b) 045°
Answer: (a) \(225^\circ\) (b) \(045^\circ\)
Question 8
The scale of a map is \(1 : 25\,000\). The real distance between two towers is 3.2 km. How far apart are they on the map, in centimetres?
Show the answer and mark scheme
- M1 3.2 km = 320 000 cm
- A1 12.8 cm
Answer: \(12.8\) cm
Question 9
The bearing of \(B\) from \(A\) is \(120°\). The bearing of \(C\) from \(B\) is \(210°\).
Find the size of angle \(ABC\).
Show the worked answer
- The bearing of \(A\) from \(B\) is \(120° + 180° = 300°\).
- At \(B\), the direction to \(A\) is \(300°\) and to \(C\) is \(210°\), so the angle between them is \(300° - 210° = 90°\).
Answer: \(90°\)
Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).
Keep going
- Geometry practice for 0580: more questions, each one marked, tagged Core or Extended
- My mistakes, then a Skill Builder on the skills you missed
- Common mistakes in 0580: what the Cambridge examiner reports say
- Geometry revision notes and the 0580 formula sheet
- Cambridge IGCSE Maths 0580 past papers, when you are ready for a full paper
Questions students ask
Which Cambridge 0580 papers can test scale drawings and bearings?
Scale Drawings and Bearings is on both tiers (syllabus 4.3), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.
Are these Cambridge past-paper questions?
No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.
Where can I practise more scale drawings and bearings questions?
In the 0580 practice for topic 4 (Geometry), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.