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0580/33 Oct/Nov 2022, Question 2: Scale Drawings

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 7 marks

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The question, in short

Use a monthly visitor bar chart and a table of average daytime temperatures to estimate a value, judge a claim about warmth and visitors, and work with a scale drawing of two lifeguards.

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

Part (ai) · 1 mark

Read off the bar chart to estimate how many people come to the beach during November.

  1. 1Read the top of the November bar against the scale: about 675

AnswerAny integer between 660 and 690

Part (aii) · 1 mark

Decide whether Mario's claim linking warmer temperatures to more visitors holds, backing it with comparisons of the chart and table.

  1. 1Hottest months are Nov, Dec, Jan (32.1, 32.5, 32.5 °C) and these have the tallest bars
  2. 2Yes: more people visit when the temperature is highest

AnswerYes, tallest bars (Nov, Dec and Jan) occur when temperature is at its highest

Part (bi) · 2 marks

Using 1 cm to 50 m, convert the drawn separation of L and M into the real distance in metres.

  1. 1LM measures 7.3 cm
  2. 2Distance = 7.3 × 50 = 365 m

Answer365 (accept 355 to 375)

Part (bii) · 1 mark

Measure the bearing of M as seen from L on the drawing.

  1. 1Measure clockwise from North at L to LM: 143°

Answer143 (accept 141 to 145)

Part (biii) · 2 marks

Mark boat B on the drawing, 300 m from M at a bearing of 068°.

  1. 1300 ÷ 50 = 6 cm
  2. 2Draw a line from M on a bearing of 068° and mark B 6 cm from M

AnswerB correctly placed

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Also searched as: 0580/33/O/N/22 · 0580_w22_qp_33 · 0580 w22 33 · question 2.
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