Time (Copy)

IGCSE Mathematics 0580 – Time Calculations Practice Exam
Divided into Paper 1 (Non-Calculator) and Paper 2 (Calculator Allowed)
Includes Full Worked Solutions

PAPER 1 – NON-CALCULATOR SECTION

Q1. Convert the following:
a) 3 hours 45 minutes into minutes
b) 2.5 hours into minutes

Solution:
a) 3 × 60 + 45 = 180 + 45 = 225 minutes
b) 2.5 × 60 = 150 minutes
Answer: a) 225 minutes b) 150 minutes

Q2. Convert the 12-hour times to 24-hour times:
a) 7:30 a.m.
b) 9:45 p.m.

Solution:
a) 0730 hrs  b) 2145 hrs
Answer: a) 0730 b) 2145

Q3. Convert the 24-hour times to 12-hour clock:
a) 1645
b) 0030

Solution:
a) 16:45 → 4:45 p.m.
b) 00:30 → 12:30 a.m.
Answer: a) 4:45 p.m. b) 12:30 a.m.

Q4. A movie starts at 6:20 p.m. and lasts 2 hours 15 minutes.
At what time does it end?

Solution:
Start: 6:20 p.m.
Add 2 hours → 8:20 p.m.
Add 15 minutes → 8:35 p.m.
Answer: 8:35 p.m.

Q5. Express 2 days and 12 hours in hours.

Solution:
2 days = 2 × 24 = 48 hours
Total = 48 + 12 = 60 hours
Answer: 60 hours

PAPER 2 – CALCULATOR ALLOWED SECTION

Q6. A train leaves at 0945 and arrives at 1340.
How long is the journey?

Solution:
From 0945 to 1340
= 13:40 – 09:45 = 3 hours 55 minutes
Answer: 3 h 55 min

Q7. A plane lands in New York at 15:30 local time.
Flight duration was 8 hours 20 minutes.
What time did it depart London (UTC +0), given New York is UTC −5?

Solution:
NY time = 15:30
Convert to UTC: 15:30 + 5 = 20:30 UTC arrival
Departure = 20:30 − 8:20 = 12:10 UTC
Answer: 12:10 p.m. UTC

Q8. A worker starts at 08:15 and finishes at 17:45 with a 1 hour break.
How many hours did they actually work?

Solution:
Total time = 17:45 − 08:15 = 9 hours 30 minutes
Break = 1 hour
Work time = 9 h 30 min – 1 h = 8 h 30 min
Answer: 8 hours 30 minutes

Q9. A ferry departs at 11:25 and arrives at 14:50.
How long is the journey in minutes?

Solution:
From 11:25 to 14:50 = 3 hours 25 minutes
Convert to minutes: 3 × 60 + 25 = 205 minutes
Answer: 205 minutes

Q10. A man spends 2 weeks, 3 days, and 5 hours on a project.
Express the total time in hours.

Solution:
2 weeks = 2 × 7 × 24 = 336 hours
3 days = 3 × 24 = 72 hours
Total = 336 + 72 + 5 = 413 hours
Answer: 413 hours

Q11. A webinar begins at 1830 hrs and ends at 2115 hrs.
What is the duration?

Solution:
21:15 – 18:30 = 2 hours 45 minutes
Answer: 2 h 45 min

Q12. A clock shows 6:45 p.m. What is this in 24-hour clock?

Solution:
6:45 p.m. = 18:45 hrs
Answer: 1845

Q13. A flight takes off at 22:30 and lands at 05:45 next day.
How long is the flight?

Solution:
From 22:30 to 24:00 = 1 h 30 min
From 00:00 to 05:45 = 5 h 45 min
Total = 1 h 30 min + 5 h 45 min = 7 h 15 min
Answer: 7 hours 15 minutes

Q14. A student sleeps 7.25 hours each night.
How many total hours does she sleep in 4 weeks?

Solution:
7.25 × 7 days = 50.75 per week
4 weeks → 50.75 × 4 = 203 hours
Answer: 203 hours

Q15. A race begins at 10:10:45 and ends at 11:45:25.
What is the duration in seconds?

Solution:
From 10:10:45 to 11:45:25
= 1 hour 34 minutes 40 seconds
Convert to seconds:
1 hr = 3600 s, 34 min = 2040 s, Total = 3600 + 2040 + 40 = 5680 seconds
Answer: 5680 seconds