11+ Maths: Time and Timetables

Time and timetables are essential concepts in mathematics that involve understanding, calculating, and interpreting time-related information. Mastering these concepts is vital for managing schedules, planning events, and solving problems related to time in everyday life.

Key Concepts in Time and Timetables

1. Reading Clocks

Time can be represented in two formats:

• Analogue Clocks: These have hour and minute hands that indicate the time based on the position of the numbers on the clock face.
• Digital Clocks: These display time using numbers (e.g., 14:30 for 2:30 PM).

2. Units of Time

Time is measured in various units:

• Seconds (s)
• Minutes (min)
• Hours (h)
• Days
• Weeks
• Months
• Years

3. Calculating Time Intervals

To calculate the difference between two times, subtract the earlier time from the later time. For example, to find the time taken for an event that starts at 2:15 PM and ends at 3:45 PM, you would do:
$$3:45 – 2:15 = 1 \text{ hour and } 30 \text{ minutes}$$

4. Timetables

Timetables present information about events, activities, or transportation schedules, showing when they start and end. Understanding timetables involves:

• Interpreting the information (e.g., reading departure and arrival times)
• Calculating durations and connections between different events
• Understanding time zones if applicable

5. Converting Time Formats

Converting between 12-hour and 24-hour time is essential:

• 1:00 PM in 12-hour format is 13:00 in 24-hour format.
• 11:00 PM in 12-hour format is 23:00 in 24-hour format.

Practice Questions on Time and Timetables

Easy Level

1. What time is 3:30 PM in 24-hour format?
2. If a train departs at 10:15 AM and arrives at 11:00 AM, how long is the journey?
3. How many minutes are in 1 hour?
4. What is the time 45 minutes after 2:15 PM?
5. If a movie starts at 5:30 PM and lasts for 2 hours, what time does it end?
6. Convert 12:00 PM to 24-hour format.
7. If a meeting starts at 1:30 PM and lasts for 1 hour and 45 minutes, what time does it end?
8. What time is 7:45 AM in 24-hour format?
9. If a class starts at 9:00 AM and finishes at 10:30 AM, how long is the class?
10. What is the time 30 minutes before 4:00 PM?
11. How many seconds are in 3 minutes?
12. If a bus leaves at 2:00 PM and arrives at 2:30 PM, how long is the bus journey?
13. Convert 8:00 AM to 24-hour format.
14. If you have a 1 hour and 30 minutes break starting at 12:15 PM, what time does the break end?
15. How many hours are in a day?
16. What is the time 15 minutes after 11:45 AM?
17. If a train leaves at 3:10 PM and arrives at 4:00 PM, how long is the journey?
18. Convert 11:00 PM to 24-hour format.
19. How many minutes are in 2 hours and 15 minutes?
20. If a party starts at 6:00 PM and lasts for 2 hours, what time does it finish?

Medium Level

1. A bus leaves the station at 4:25 PM and arrives at 5:10 PM. How long is the journey?
2. Convert 14:30 to 12-hour format.
3. If a football match starts at 3:00 PM and lasts for 90 minutes, what time does it end?
4. A flight departs at 10:45 AM and arrives at 1:15 PM. What is the duration of the flight?
5. If a train leaves at 6:05 PM and arrives at 6:50 PM, how long is the train ride?
6. What time is 21:15 in 12-hour format?
7. A lecture starts at 9:30 AM and lasts for 1 hour and 15 minutes. What time does it end?
8. If a shop opens at 8:00 AM and closes at 8:00 PM, how many hours is it open?
9. How many minutes are in 4 hours and 45 minutes?
10. A concert starts at 7:00 PM and lasts for 2 hours and 30 minutes. What time does it finish?
11. If a train departs at 2:30 PM and arrives at 3:15 PM, what is the duration of the journey in minutes?
12. Convert 9:30 PM to 24-hour format.
13. If a meeting starts at 10:15 AM and ends at 11:45 AM, how long does the meeting last?
14. A film runs for 2 hours and 15 minutes. If it starts at 5:00 PM, what time does it end?
15. How many seconds are in 5 minutes and 30 seconds?
16. If a football game starts at 2:00 PM and ends at 3:40 PM, how long is the game?
17. Convert 15:00 to 12-hour format.
18. A bus leaves at 9:20 AM and arrives at 10:05 AM. How long is the bus journey?
19. If a class starts at 1:45 PM and ends at 3:00 PM, how long is the class?
20. A train leaves the station at 7:30 PM and arrives at 9:00 PM. What is the duration of the journey?

Hard Level

1. A flight takes off at 10:25 AM and lands at 1:45 PM. What is the duration of the flight in hours and minutes?
2. If a train leaves at 16:10 and arrives at 17:55, how long is the journey?
3. Convert 6:30 PM to 24-hour format.
4. A meeting starts at 3:15 PM and lasts for 2 hours and 45 minutes. What time does it end?
5. A marathon starts at 9:00 AM and finishes at 1:15 PM. How long does it last?
6. If a class starts at 8:45 AM and finishes at 9:50 AM, how long is the class?
7. Convert 23:00 to 12-hour format.
8. A bus leaves at 11:35 AM and arrives at 1:05 PM. What is the duration of the bus journey in minutes?
9. A concert starts at 8:30 PM and lasts for 2 hours and 15 minutes. What time does it finish?
10. If a worker starts their shift at 2:00 PM and finishes at 10:00 PM, how long is their shift?
11. A train departs at 09:45 and arrives at 11:10. How long is the journey?
12. Convert 18:25 to 12-hour format.
13. If a class begins at 1:00 PM and lasts for 3 hours, what time does it end?
14. A film starts at 4:30 PM and runs for 2 hours and 45 minutes. What time does it finish?
15. If a store opens at 9:30 AM and closes at 6:00 PM, how many hours is it open?
16. A school bus leaves at 7:50 AM and returns at 4:15 PM. How long is the bus on the road?
17. Convert 12:45 AM to 24-hour format.
18. If a swimming lesson starts at 5:30 PM and ends at 6:15 PM, how long is the lesson?
19. A train leaves the station at 14:35 and arrives at 15:20. What is the duration of the train journey?
20. A lecture starts at 10:00 AM and finishes at 11:30 AM. If there is a break of 15 minutes, how long is the lecture?

Answers and Explanations

Easy Level

1. $$15:30$$
2. $$11:00 – 10:15 = 45 \text{ minutes}$$
3. $$60 \text{ minutes}$$
4. $$2:15 + 0:45 = 3:00 PM$$
5. $$5:30 PM + 2 \text{ hours} = 7:30 PM$$
6. $$12:00 \text{ PM} = 12:00$$ (noon)
7. $$1:30 PM + 1 \text{ hour } 45 \text{ minutes} = 3:15 PM$$
8. $$07:45$$
9. $$10:30 – 9:00 = 1 \text{ hour 30 minutes}$$
10. $$4:00 PM – 30 \text{ minutes} = 3:30 PM$$
11. $$52 – 5 = 47 \text{ cards left}$$
12. $$6:00 AM$$
13. $$1 \text{ hour}$$
14. $$10:15 – 12:15 = 1 \text{ hour}$$
15. $$8 \text{ hours}$$
16. $$11:45 + 15 \text{ minutes} = 12:00 PM$$
17. $$5 – 3 = 2$$
18. $$7 – 4 = 3$$
19. $$20 – 5 = 15 \text{ minutes left}$$
20. $$6:00 PM + 2 \text{ hours} = 8:00 PM$$

Medium Level

1. $$5:10 – 4:25 = 45 \text{ minutes}$$
2. $$14:30 – 12:00 = 2:30 \text{ hours}$$
3. $$3:00 PM + 1:30 = 4:30 PM$$
4. $$10:45 – 1:15 = 2:30 \text{ hours}$$
5. $$6:05 PM – 6:50 PM = 45 \text{ minutes}$$
6. $$21:15 = 9:15 PM$$
7. $$9:30 + 1:15 = 10:45 AM$$
8. $$8:00 PM – 8:00 AM = 12 \text{ hours}$$
9. $$4 \times 60 + 45 = 285 \text{ minutes}$$
10. $$7:00 PM + 2:30 = 9:00 PM$$
11. $$2:30 – 1:30 = 60 \text{ minutes}$$
12. $$15:00 – 9:30 = 5:30 PM$$
13. $$2:30 + 1:15 = 3:45 PM$$
14. $$12:15 PM + 1:00 PM = 1:15 PM$$
15. $$5:30 + 1:30 + 2:00 = 9:00 PM$$
16. $$60 \times 1 + 30 = 90 \text{ minutes}$$
17. $$1:15 + 1:15 = 2:30 PM$$
18. $$2:30 + 3:30 = 5:30 PM$$
19. $$9:30 + 1:15 = 10:45 AM$$
20. $$11:50 – 9:20 = 30 \text{ minutes}$$

Hard Level

1. $$1:45 – 10:25 = 3:20 \text{ hours}$$
2. $$17:55 – 16:10 = 1:45 \text{ hours}$$
3. $$18:30 = 6:30 PM$$
4. $$3:15 PM + 2:45 = 6:00 PM$$
5. $$1:15 PM – 9:00 AM = 4:15 \text{ hours}$$
6. $$9:50 AM – 8:45 AM = 1:05 \text{ hours}$$
7. $$11:55 – 11:25 = 30 \text{ minutes}$$
8. $$1:05 PM – 11:35 AM = 1:30 \text{ hours}$$
9. $$8:30 PM + 2:15 = 10:45 PM$$
10. $$10:00 PM – 2:00 PM = 8 \text{ hours}$$
11. $$11:10 – 9:45 = 1:25 \text{ hours}$$
12. $$6:30 PM + 3:30 PM = 10:00 PM$$
13. $$10:00 AM – 2:00 PM = 4 \text{ hours}$$
14. $$10:45 PM – 8:15 PM = 2:30 \text{ hours}$$
15. $$5:00 PM + 1:15 PM = 6:15 PM$$
16. $$11:45 – 8:30 = 3:15 \text{ hours}$$
17. $$1:30 PM + 1:00 PM = 2:30 PM$$
18. $$2:00 PM – 12:00 PM = 2 \text{ hours}$$
19. $$4:00 PM + 1:30 = 5:30 PM$$
20. $$9:45 – 10:00 = 15 \text{ minutes}$$

These questions and answers provide a comprehensive overview of time and timetables relevant to the 11+ exam, covering various difficulty levels and encouraging students to develop their understanding and problem-solving skills.