Home / iGCSE Mathematics (0580) – C1.15 Time- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C1.15 Time- Exam Style Questions Paper 3- New Syllabus

Question

A plane leaves Seattle at $0730$ on Tuesday and arrives in Seoul $10$ hours and $55$ minutes later.

The local time in Seoul is $16$ hours ahead of the local time in Seattle.

Work out the day and time in Seoul when the plane arrives.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.15 Time
▶️ Answer/Explanation
First, calculate the arrival time in Seattle’s local time by adding the flight duration: $0730 + 10 \text{ hours } 55 \text{ minutes} = 1825$ on Tuesday.
Next, adjust for the time zone difference by adding the $16$ hours ahead that Seoul is compared to Seattle: $1825 + 1600 = 3425$.
Since a day has $24$ hours, subtract $2400$ to find the time on the next day: $3425 – 2400 = 1025$.
Because the time rolled over past midnight ($2400$), the arrival day shifts from Tuesday to Wednesday.
✅ Answer: Wednesday and 1025
Question

(a) 1 mile = 1.609344 kilometres. Change 6 miles into metres. Give your answer correct to the nearest metre.

(b) (i) The bearing of a boat from a harbour is 322°. Work out the bearing of the harbour from the boat.

(ii) The boat is 12km from the harbour. At 2.30 pm the boat starts to sail to the harbour. The speed of the boat is 5km/h. Work out the time the boat arrives at the harbour.

(c) (i) The scale drawing shows the positions of Shakti’s house (S) and Mairi’s house (M) on a map (scale: 1cm = 4km). Measure the bearing of M from S.

(ii) Another map (scale: 1cm = 5km) shows Shakti’s house (S). Mark Mairi’s house (M) on this map.

▶️ Answer/Explanation

(a) Answer: 9656 metres
6 miles × 1.609344 km/mile × 1000 m/km = 9656.064m ≈ 9656m

(b)(i) Answer: 142°
Reverse bearing = (322° – 180°) = 142° (subtract 180° for opposite direction)

(b)(ii) Answer: 4.54 pm
Time = Distance/Speed = 12km ÷ 5km/h = 2.4h (2h24m) → 2:30pm + 2h24m = 4:54pm

(c)(i) Answer: 107°
Measure angle clockwise from North line to SM line in given diagram.

(c)(ii) Answer: [Marked position]
Using original bearing/distance, plot M at correct scaled position (1cm = 5km) relative to S.

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