Lemmara logoLemmaraWorked solution

4024/12 Oct/Nov 2022, Question 14: Removed from the 2025–27 syllabuses (parked)

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 7 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using a scale drawing of plot PQRS at 1 cm to 20 m, construct a path equidistant from SP and SR, draw Priya's bearing walk from P, find the real distance to the path, and convert a 2 cm² car park area to real area.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

With straight edge and compasses only, construct the line inside the plot whose points are equally far from sides SP and SR.

  1. 1The path is the bisector of angle PSR
  2. 2With centre S, draw an arc cutting SP and SR
  3. 3From these two points draw equal arcs that cross inside the angle
  4. 4Rule a line from S through the crossing point until it meets PQ

AnswerAcceptable bisector of angle PSR with correct arcs meeting line PQ

Part (bi) · 1 mark

From P, draw a line heading on a bearing of 104° to represent Priya's route.

  1. 1Draw a North line at P (the North arrow)
  2. 2Measure 104° clockwise from North with a protractor
  3. 3Rule a line from P on this bearing until it meets the path

AnswerLine drawn on bearing 104° from P

Part (bii) · 2 marks

Work out the real-world distance from P to the point where Priya's bearing line meets the constructed path.

  1. 1Measure the line from P to the path on the drawing: 7.6 cm to 8.0 cm
  2. 2Scale: 1 cm represents 20 m
  3. 3Actual distance = 20 × (7.6 to 8.0) = 152 to 160 m

Answer152 to 160

Part (c) · 2 marks

Given the car park measures 2 cm² on the drawing, calculate its actual area using the scale.

  1. 11 cm represents 20 m, so 1 cm² represents 20 × 20 = 400 m²
  2. 2Area = 2 × 400 = 800 m²

Answer800

Practise more removed from the 2025–27 syllabuses (parked) questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on removed from the 2025–27 syllabuses (parked)

Also searched as: 4024/12/O/N/22 · 4024_w22_qp_12 · 4024 w22 12 · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.