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**The 24-hour clock 1 12-hour clock 24-hour clock**

The hours go from 12 to 12 twice a day You must use am or pm: am is before noon pm is after noon 24-hour clock The hours go from 0 to 23 Time is always shown as four digits You don’t use am or pm Used in timetables, mobiles and computers

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The 24-hour clock 2 After 12 o’clock in the afternoon, the hours continue to = 1pm, 14.00 = 2pm, = 3pm, up to = 11pm. After 23, the hour goes to = 12am then through = 1am, 02.00 = 2am all the way to = 11pm then again. Because all the hours have a different number, there is no need to use am or pm. For example there are two 4 o’clocks in a day: one in the morning 4:00 am = 04:00 one in the afternoon 4:00 pm = 16:00 An easy way to change to 24-hour time is to add 12 onto the hour. You only do this to the hours between 1pm and 11pm. Midnight becomes 00:00.

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The 24-hour clock 3 Fill in the 24-hour times on the scale below on your worksheet. 12-hour time am pm 00.00 24-hour time

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The 24-hour clock 4 When converting to 24-hour time you change the hours only. 12 hour 24 hour 3.00am 03:00 8.15am 08:15 11.45am 11:45 2.35pm 14:35 5.20pm 17:20 11.38pm 23:38 12.55am 00:55 Notice that you only add 12 onto the pm times.

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The 24-hour clock 5 Change the following times from 12 hour into 24 hour. 5am 8am 2.45am 12.02am 11.38am 12.01pm 1.29pm 7pm 10.45pm 11.07pm 05:00 08:00 02:45 00:02 11:38 12:01 13:29 19:00 22:45 23:07 Now check your answers.

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The 24-hour clock 6 To convert from 24 hour to 12 hour you do the opposite. Take away 12 from the hours if it is 13 to 23. Midnight changes from 00:00 to 12:00am. Change the following times from 24 hour into 12 hour. 4am 7am 9.45am 12.20am 11.02am 12.56pm 4.22pm 8.20pm 9.21pm 10.18pm 04:00 07:00 09:45 00:20 11:02 12:56 16:22 20:20 21:21 22:18 Now check your answers.

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Time intervals 1 To calculate time intervals, you need to count forward. You might want to calculate time intervals for a variety of reasons. You might want to know how long a film lasts, how long a journey is going to last, how long you are in each class for in school. Can you think of any other reasons why you might want to calculate a time interval? To calculate the interval between 4.00am and 7.00am you count Forward. Start at 4 and count forward to 7 = 3 hours. 1 + 1 + 1 4 5 6 7

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Time intervals 2 Find out how long there is between each of these times 5.00pm and 8.00pm 11.00pm and 4.00am 3.30pm and 6.30pm 22:40 and 00:40 07:05 and 12:05 12:55 and 14:55 7.

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Time intervals 3 Find out how long there is between each of these times 3.15pm and 5.15pm 9.05pm and 2.05am 7.15pm and 10.15pm 14:10 and 23:10 17:25 and 22:25 13:05 and 18:05 7.

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Time intervals 4 To find out how many minutes there are between two time intervals and the times are in the same hour, take away the minutes. For example: 4.05 to 4.45 45 – 5 = 40 minutes The times are in the same hour, 4. This means that you can take away the minutes to calculate the time interval. 6.20 to 6.55 = 35 minutes 14:05 to 14:25 25 – 5 = 25 minutes

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Time intervals 5 Find out how long there is between each of these times: 5.05pm and 5.20pm 11.00pm and 11.45pm 3.30pm and 3.55pm 22:40 and 22:55 07:05 and 07:45 12:45 and 12:55 7.

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Time intervals 6 Calculating time intervals in minutes from one hour to the next can be broken down into two steps. Step 1 Count the minutes to the next hour Step 2 Add on the minutes to the finish time How long is it in minutes between: 3.50 pm and 4.25 pm Step minutes till 4 o’clock Step – 4.25 = 25 minutes 10 +25 35 minutes How long is it in minutes between 6.25 pm and 7.15 pm Step minutes till 7 o’clock Step – 7.15 = 15 minutes 35 +15 50 minutes

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Time intervals 7 Find out how long there is between each of these times: 5.55pm and 6.20pm 11.35pm and 12.20pm 3.30pm and 4.05pm 22:40 and 23:15 07:10 and 08:05 12:45 and 13:35 7.

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**Time intervals 8 Remember that there are 60 minutes in an hour.**

If the time interval adds up to more than 60 minutes, change it into hours and minutes. How long is it in minutes between: 3.40 pm and 4.55 pm Step minutes till 4 o’clock Step – 4.55 = 55 minutes 20 +55 75 minutes 75 minutes = 1 hour (60 minutes) and 15 minutes How long is it in minutes between: 6.25 pm and 7.45 pm Step minutes till 7 o’clock Step – 7.45 = 45 minutes 35 + 45 80 minutes 80 minutes = 1 hour (60 minutes) and 20 minutes

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Time intervals 9 Find out how long there is between each of these times: 5.50pm and 6.55pm 11.35pm and 12.50pm 3.30pm and 4.45pm 22:40 and 23:55 07:10 and 08:45 12:45 and 13:55 7.

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Time intervals 10 To calculate time intervals between hours follow these steps. 4.15 pm to 7.25 pm. 45 minutes + 2 hours + 25 minutes 4.15 pm to 5.00 pm 5.00 pm to 7.00 pm 7.00 pm to 7.25 pm 45 + 25 70 minutes 70 minutes = 1 hour (60 minutes) and 10 minutes + 2 hours = 3 hours 10 minutes 19.20 pm to pm. 40 minutes + 1 hour + 55 minutes to 20.00 20.00 to 21.00 to 40 + 55 95 minutes 95 minutes = 1 hour (60 minutes) and 35 minutes + 1 hour = 2 hours 35 minutes

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Time intervals 11 Find out how long there is between each of these times: 5.50pm and 8.55pm 11.35pm and 6.50pm 3.30pm and 12.45pm 22:40 and 00:55 07:10 and 12:45 12:45 and 20:55 7.

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Time intervals 12 It is also very useful to be able to calculate time intervals in days, weeks and months. You may want to know how long it is until your birthday, or how long it is until your holidays or Christmas. Can you think of any other reasons why you might want to calculate time intervals using a calendar?

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Calendars 1 August Monday Tuesday Wednesday Thursday Friday Saturday Sunday 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 You can calculate how many weeks and days there are between two dates by counting down the column. How many weeks is it between the 5th and the 26th? = 3 weeks How many weeks and days is it between the 5th and the 30th? = 3 weeks and 4 days

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Calendars 2 January Monday Tuesday Wednesday Thursday Friday Saturday Sunday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1. How long is it between January 7th and 21st? 2. How long is it between January 1st and 29th? 3. How long is it between January 13th and 27th? 4. How long is it between January 19th and 26th? 5. How long is it between January 21st and 28th?

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Calendars 3 April Monday Tuesday Wednesday Thursday Friday Saturday Sunday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1. How long is it between April 1st and 23rd? 2. How long is it between April 1st and 9th? 3. How long is it between April 4th and 27th? 4. How long is it between April 7th and 30th? 5. How long is it between April 10st and 22nd?

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**Time intervals between months 1 January February**

Monday Tuesday Wednesday Thursday Friday Saturday Sunday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 February Monday Tuesday Wednesday Thursday Friday Saturday Sunday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 How long is it between January 15th and February 12th? 4 weeks (you don’t include the 15th) How long is it between January 15th and February 14th? 4 weeks and 2 days

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**Time intervals between months 2 January February**

Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 February Mon Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 How long is it between the following dates: 1. January 1st and February 23rd? 3. January 28th and February 13th? 2. January 21st and February 28th? 4. January 31st and February 28th?

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**Time intervals between months 3 January February**

Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 February Mon Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 How long is it between the following dates: 1. January 11th and February 4th? 3. January 18th and February 27th? 2. January 26th and February 19th? 4. January 27th and February 24th?

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**Time intervals between months 4 January February**

Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 February Mon Tue Wed Thu Fri Sat Sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 How long is it between the following dates: 1. January 4th and February 1st? 3. January 15th and February 23rd? 2. January 13th and February 2nd? 4. January 18th and February 1st?

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