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0580/33 Oct/Nov 2021, Question 1: Speed, Distance and Time

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 16 marks

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The question, in short

Solve travel and park problems: flight arrival time across time zones, average speed, car hire cost formula, missing probability, rounding and standard form for 4986, tax on $17.50 at 8%, and scale-drawing distance and bearing work.

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

Part (ai) · 2 marks

Given departure 15 40 London time and an 11 h 15 min flight, find the Los Angeles arrival time, with the city 8 hours behind London.

  1. 115 40 + 11 h 15 min = 02 55 (London time)
  2. 202 55 − 8 h = 18 55 (Los Angeles time)

Answer18 55

Part (aii) · 3 marks

Using a flight distance of 8760 km and the time from part (a)(i), work out the plane's average speed.

  1. 111 h 15 min = 11.25 h
  2. 2Speed = 8760 ÷ 11.25
  3. 3= 778.66… ≈ 779 km/h

Answer779 or 778.6 to 778.7

Part (bi) · 2 marks

Car hire costs $56 daily plus a fixed $436; give a formula for C dollars when hiring for d days.

  1. 1Cost for d days = 56d
  2. 2Add the fixed cost: C = 56d + 436

AnswerC = 56d + 436

Part (bii) · 2 marks

Four car colours have probabilities 0.17, 0.24, blank and 0.3; find the missing probability to finish the table.

  1. 1Probabilities sum to 1
  2. 21 − (0.17 + 0.24 + 0.3) = 1 − 0.71
  3. 3Black = 0.29

Answer0.29

Part (ci) · 1 mark

Round the park area 4986 km² to the nearest hundred.

  1. 14986 lies between 4900 and 5000
  2. 2Nearer to 5000

Answer5000

Part (cii) · 1 mark

Express 4986 in standard form.

  1. 14986 = 4.986 × 1000
  2. 2= 4.986 × 10³

Answer4.986 × 10³

Part (d) · 1 mark

Find the tax amount on a park ticket priced at $17.50 with 8% tax added.

  1. 18% of 17.50 = 0.08 × 17.50
  2. 2= $1.40

Answer1.40

Part (ei) · 2 marks

Using the scale where 1 cm represents 5 km, calculate the real distance between points A and B on the drawing.

  1. 1Measure AB on the drawing: 7 cm
  2. 27 × 5 = 35 km

Answer35 (accept 34 to 36)

Part (eii) · 2 marks

Mark point C on the scale drawing, 20 km from A on a bearing of 072°.

  1. 120 km ÷ 5 = 4 cm on the drawing
  2. 2Place the protractor at A, measure 72° clockwise from North
  3. 3Mark C 4 cm from A along this line

AnswerC marked 4 cm from A on a bearing of 072°

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Also searched as: 0580/33/O/N/21 · 0580_w21_qp_33 · 0580 w21 33 · question 1.
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