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4024/12 Oct/Nov 2024, Question 10: Scale Drawings

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 6 marks

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The question, in short

Use the scale drawing of field ABCDE with a sector stage at C and scale 1 cm to 2.5 m to determine the stage radius, construct and shade a zone boundary, and price 8 tickets at $30.75 each.

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

Part (a) · 2 marks

Measure the stage sector's radius on the drawing in cm, then convert to metres using 1 cm to 2.5 m.

  1. 1Radius of the stage on the drawing measures about 3 cm (2.8 to 3.2 cm)
  2. 2Actual radius = 3 × 2.5 = 7.5 m (in the range 7 to 8 m)

Answer7 to 8

Part (bi) · 2 marks

With compasses and straight edge only, construct the line separating points closer to EA from those closer to ED.

  1. 1Zone 1 is nearer EA than ED, so the boundary is the bisector of angle AED
  2. 2With compasses centred at E, draw arcs cutting EA and ED
  3. 3From these two points draw equal arcs that cross inside the field
  4. 4Rule the line from E through the crossing point until it meets the edge of the stage

AnswerAcceptable bisector of angle AED with correct arcs meeting boundary of stage

Part (bii) · 1 mark

Shade the zone lying nearer to side EA than to side ED, excluding the stage.

  1. 1Shade the part of the field on the EA side of the bisector (the side containing A), not including the stage

AnswerCorrect region shaded

Part (c) · 1 mark

Calculate the total cost of 8 concert tickets priced at $30.75 each.

  1. 1Cost = 8 × 30.75
  2. 2= $246

Answer246

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Also searched as: 4024/12/O/N/24 · 4024_w24_qp_12 · 4024 w24 12 · question 10.
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