Time

Time

Your child will need to know how to read time displayed in different formats, and will need to be familiar with using different units of time. They may also need to work out a time from a worded context.

The 12bf{12}-Hour Clock

The hours on a 12bf{12}-hour clock are shown by the numbers 1121-12. We need to add amtextbf{am} or pmtextbf{pm} to show whether the time is in the morning or the afternoon.

Times with amtextbf{am} are between midnight and 11:5911:59 in the morning.

Times with pmtextbf{pm} are between noon and 11:5911:59 at night.

The 24bf{24}-Hour Clock

24bf{24}-hour times are the same as 1212-hour times in the morning, e.g. 7:00 am7:00text{ am} is the same as 07:0007:00 on a 2424-hour clock.

If it’s afternoon or evening, for the 2424-hour clock we need to add 12bf{12} onto the time, e.g. 3:00 pm3:00text{ pm} is 15:0015:00 on a 2424-hour clock.

 At midnight, the 2424-hour clock goes from 23:5923:59 to 00:0000:00

2424-hour times always have 4bf{4} digits.

Units of Time

Here’s how some different units of time are related to each other:

 

 

  • 11 year has 365365 days, or 366366 in a leap year. A leap year happens every four years, when an extra day is added to February.

 

  • There are 1212 months in a year, but the number of days in each month is different. Your child might find the rhyme below helpful:

 

Example 1bf{1}: Using a 24bf{24}-Hour Clock

Your child may need to convert between 1212-hour and 2424-hour times.

Example: Which of these 2424-hour times is the same as quarter to four in the afternoon?

Quarter to four in the afternoon is 3:45 pmbf{3:45}textbf{ pm} in 1212-hour format.

Because the time is in the afternoon, we need to add 12bf{12} hours to convert to the 2424-hour format.

3:45+123:45+12 hours =15:45=15:45, so the answer is BB.

Example 2bf{2}: Converting Between Units of Time

Your child may also need to convert between different common units of time.

Example: Toby puts a tub of pasta in the microwave for 33 and a half minutes. How many seconds is this?

Remind your child that 1bf{1} minute is the same as 60bf{60} seconds

So 3bf{3} minutes must be 3×60=180bf{3times60=180} seconds

Half a minute must be 60÷2=30bf{60div2=30} seconds

So 3bf{3} and a half minutes is 180+30=210bf{180+30=210} seconds.

Example 3bf{3}: Calculating a Time

Sometimes your child may need to calculate a time from some given information.

Example: Harry needs to be at the dentist in town by 3:15 pm3:15text{ pm}. It takes him 22 minutes to walk from his house to the garage where he stores his car. It then takes him 1212 minutes to drive to the carpark in town. Finally, it takes him 88 minutes to walk from the carpark to the dentist. What is the latest he can leave his house?

It is helpful to break the journey down into sections using the information given:

We know Harry needs to be at the dentist by 3:15 pm3:15text{ pm}, so we need to count back through each stage of the journey.

If we start at 3:15 pm3:15text{ pm} and count back 88 minutes, we get to 3:07 pm3:07text{ pm}.

We then need to count back another 1212 minutes to find what time he needs to leave his garage. Counting back 77 minutes takes us to 3:00 pm3:00text{ pm}, and then counting back the remaining 55 minutes takes us back to 2:55 pm2:55text{ pm}.

Finally, we need to count back a further 22 minutes to find when Harry needs to leave his house.

Counting back 22 minutes from 2:55 pm2:55text{ pm} takes us to 2:53 pm2:53text{ pm}.

So the latest Harry can leave his house is 2:53 pm2:53text{ pm}.

Time Example Questions

Question 1: The time in Paris is 88 hours behind Sydney, Australia.

In Sydney it is 06:0006:00. What time is it in Paris? Give your answer using the 2424-hour clock.

 

[1 mark]

In Sydney it is 66 o’clock in the morning. Counting back 88 hours, in Paris it must be 1010 o’clock at night.

Using the 2424-hour clock, we need to add 1212 onto 1010, so in Paris it is 22:0022:00

Question 2: John went to visit a friend. He set off at 9:35 am9:35text{ am} and arrived at 10:24 am10:24text{ am}.

How many minutes did the journey take?

 

[1 mark]

It would take 2525 minutes to 10:00 am10:00text{ am}, and then another 2424 minutes to 10:24 am10:24text{ am}.

25+24=4925+24=49 minutes in total

 

Question 3: Peter completed a race in 22 hours and 1010 minutes.

a) How long is this in minutes?

b) How long is this in seconds?

 

[2 marks]

a) 11 hour is 6060 minutes.

So 22 hours is 2×60=1202times60=120 minutes

120+10=130120+10=130 minutes in total.

 

b) 11 minute is 6060 seconds.

So 130130 minutes is 130×60=7800130times60=7800 seconds.