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24 hour clock reasoning and problem solving

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Time 2 (Easy)

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So, you’ve made it to the second quiz in our Easy section of Eleven Plus maths dealing with Time (if you haven’t yet played the previous ones, I suggest you do so now). Like the first, this quiz will ask you to solve some problems involving the 24-hour clock.

Last time we supplied you with a conversion table to make things a little easier. They’ll be no such help this time! But there are some tips which you can remember:

  • 12 am (midnight) is 00:00 on a 24-hour clock
  • 12 pm (noon) is 12:00 on a 24-hour clock
  • All other am times are the same as on a 12-hour clock (but put a 0 in front of single-digit hours)
  • All other pm times are converted to 24-hour times by adding 12 to the hours

It sounds quite complicated, but 24-hour clocks are a piece of cake once you’ve got your head around them. Have a go at this quiz to find out whether or not you need more practice.

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24 hour clock reasoning and problem solving

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24 Hour Clock Conversion Worksheets

Welcome to the Math Salamanders 24 Hour Clock Conversion Worksheets. Here you find our selection of 24 hour time math worksheets to help your child learn to convert times between the 12 and 24 hour clock.

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  • Converting 24-hour to 12-hour Worksheets
  • Convert Between 12-hour and 24-hour Worksheets
  • More related resources
  • 24-Hour Clock Online Quiz

24 Hour Clock Conversion

The 24 hour clock support.

In the 24 hour clock, there are no 'am' and 'pm' labels.

The hours start at zero and go throught to 23.

All 24 hour clock times should be written hh:mm or hh:mm:ss, where h is the hour, m is the minute and s is the seconds.

Sometimes the colons are omitted bewteen the hours and minutes.

Converting 24 Hour Times

Converting from 24 hour times to 12 hour times

The following simple steps will help you change a 24 hour time to a 12 hour time with 'am' and 'pm'.

  • If the hour is exactly 12, then simply label it as a pm time.
  • If the hour is 00, then change it to 12 and label it as an am time.
  • If the hour is greater than 12, then simply subtract 12 from the hour and label it as a pm time.
  • Otherwise, simply label it as an am time and take away any leading zeros.

The minutes and seconds never change when changing between 24 hour and 12 hour times.

14:36 = 2:36pm     02:12 = 2:12am

09:24 = 9:24am     17:48 = 5:48pm

00:45 = 12:45am     12:15 = 12:15pm

20:36 = 8:36pm     23:56 = 11:56pm

Converting from 12 hour times to 24 hour clock

The following simple steps will help you change a 12 hour time to a 24 hour time.

  • If the hour is exactly 12pm, then simply remove the 'pm' label.
  • If the hour is 12am, then change it to 00.
  • If the hour is a pm time, then simply add 12 to the hour.
  • Otherwise, the hour does not change. If it is less than 10, then add a zero before the digit.

1:45am = 01:45     1:45pm = 13:45

4:20am = 04:20     4:20pm = 16:20

11:32am = 11:32     11:32pm = 23:32

12:07am = 00:07     12:07pm = 12:07

24 Clock Conversion Worksheets

These sheets have been split into 3 sections.

The first set of sheets involve converting am and pm times into 24 clock times.

The second set of sheets involve converting 24 hour clock times to 12 hour standard time.

The last set of sheets involve both converting between 12 and 24 hour times and back.

Using these sheets will help your child to:

  • convert 12 hour standard times to 24 hour clock times;
  • convert 24 hour clock times to 12 hour standard times;
  • read from an analogue accurately at 5 minute intervals;
  • draw clock hands in the correct place for 5 minute intervals.

Convering 12 Hour Standard Time to 24 Hour Clock Worksheets

  • Convert 12 to 24 Hour Clock Sheet 1
  • PDF version
  • Convert 12 to 24 Hour Clock Sheet 2

Convering 24 Hour Clock to 12 Hour Standard Time

  • Convert 24 to 12 Hour Clock Sheet 1
  • Convert 24 to 12 Hour Clock Sheet 2

24 Hour Clock Conversion Sheets

  • Convert 24 Hour Time Sheet 1
  • Convert 24 Hour Time Sheet 2
  • Convert 24 Hour Time Sheet 3

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

The sheets in this section involve telling the time accurately to 1 minute intervals.

The sheets also include converting 24 hour to 12 hour clock and back.

Each time problem consists of some clues and 8 possible answers, of which only one is correct.

  • Time Word Problems Worksheets - Harder Riddles

24 Hour Military Time Converter

On this page, you will find our military time converter for converting time to and from 24 hour clock.

The converter will convert standard 12 hour times to 24 hour time and also convert 24 hour time to 12 hour standard time.

  • Military Time Chart Page

military time calculator

  • Online Military Time Converter

Time Puzzles

Looking for an extension activity for children who can already tell the time?

Maybe you want an interesting starter activity for your lesson to get the class thinking?

These printable time puzzles will help to get your child thinking about time and solving problems involving time.

They are good at developing an understanding of the language used in time.

  • Printable Time Worksheets - Time Puzzles (easier)

Need Help Learning to Tell the Time?

Here you will find our selection of telling time clock worksheets to help your child learn their o'clock, half-past, quarter past and to.

  • read o'clock, half-past times;
  • read quarter past and quarter to;
  • tell the time to the nearest minute;
  • convert analogue times to digital;

The sheets in this section are a great way of starting your child off with learning to tell the time.

  • O'clock and Half Past
  • Clock Worksheets - Quarter Past and Quarter To
  • Telling Time to 5 Minutes Worksheets
  • Telling Time Worksheets Grade 4 (1 minute intervals)

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

There are also sheets to help you practice adding and subtracting time intervals.

  • Add and Subtract Time Worksheets
  • Elapsed Time Worksheets
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24 Hour Clock Online Quiz

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This quick quiz tests your knowledge of reading and converting between 12 and 24 clock times.

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24 hour clock reasoning and problem solving

Watch the Clock

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

24 hour clock reasoning and problem solving

How Many Times?

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

24 hour clock reasoning and problem solving

Wonky Watches

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

24 hour clock reasoning and problem solving

These clocks have been reflected in a mirror. What times do they say?

24 hour clock reasoning and problem solving

The Time Is ...

Can you put these mixed-up times in order? You could arrange them in a circle.

24 hour clock reasoning and problem solving

5 on the Clock

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

24 hour clock reasoning and problem solving

These clocks have only one hand, but can you work out what time they are showing from the information?

24 hour clock reasoning and problem solving

Approaching Midnight Live

Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?

24 hour clock reasoning and problem solving

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  • 12-Hour Clocks and 24-Hour Clocks

Convert between 12-Hour and 24-Hour Clocks Worksheets

Times are told in two formats: the 12-hour format and the 24-hour format. In a 12-hour/a.m. & p.m. format, the day is split into two cycles of 12 hours: one from midnight to midday and another from midday to midnight. Challenge children to dig deep into their telling and converting time prowess with these printable converting to and from 12-hour clocks and 24-hour clocks worksheets for 3rd grade, 4th grade, and 5th grade students! Encourage students to keep the topic front and center so they turn all of their time-conversion tasks into child's play. Ranging from converting simple times to reading clocks to answering word problems, these worksheets have what it takes to shape children into confident time converters. Some of these worksheets are free!

Convert 12-Hour to 24-Hour Clocks

Convert 12-Hour to 24-Hour Clocks

Get down to business with time conversion, using these 12-hour clocks to 24-hour clocks worksheets! 12 a.m. is 00.00 hours. From 12 midnight to 12.59 a.m., subtract 12 hours. From 1 a.m. to 12.59 p.m., there's no change. From 1.00 p.m. to 11.59 p.m., add 12 hours.

  • Download the set

24 to 12-hour Clock Conversion

24 to 12-hour Clock Conversion

Get your time conversion alive and kicking with this pdf! For the first hour of the day (00.00 to 00.59 am), add 12 hours. From 1.00 to 11.59, just add a.m. to it. From 12.00 to 12.59, simply add p.m. From 13.00 to 23.59, subtract 12 hours.

Convert between 24-Hour and 12-Hour Times

Convert between 24-Hour and 12-Hour Times

Breathe life into your converting between 12-hour and 24-hour clocks skill with these 2-part exercises! First up are a set of a.m/p.m. times to be written in 24-hour clock notation. Then, there are a bunch of 24-hour times to be converted into a.m./p.m.

Reading Clocks in Two Formats

Reading Clocks in Two Formats

Pull out all the stops for a perfect time conversion experience in these grade 4 and grade 5 worksheets! Read each clock and write the time first in the 12-hour format and then in the 24-hour format. Stick to the conversion rule to a tee, and you should be able to do a fantastic job.

Matching 24-Hour Clocks to 12-Hour Clocks

Matching 24-Hour Clocks to 12-Hour Clocks

Race through your time conversion practice with this set of printable time matching pdfs for grade 3! On the left side are ten 24-hour times, and on the left side are their 12-hour counterparts. Stand tall by matching each 24 hour to the correct 12 hour.

Compare and Match

Compare and Match

Raise your game of converting time with these 12-hour and 24-hour clocks worksheets! 9 analog clocks are featured; write under each clock one of the letters: a-i representing the digital clock that has the exact same time.

Related Worksheets

» Adding and Subtracting Time

» Elapsed Time

» Reading Clocks

» Telling Time

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Unit 11 – 1 week

This topic is part of the National Curriculum but is not included in the DfE 2020 guidance or the NCETM Mastery PD Materials. There are no NCETM classroom slides to download for this unit. We hope that teachers/schools will plan to cover this material from their own existing high-quality resources and using the information and suggestions below.

National curriculum statutory requirements (p28) Pupils should be taught to: read, write and convert time between analogue and digital 12- and 24-hour clocks solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

When planning this unit, build on current understanding of time on an analogue clock and a 12-hour digital clock, that children will have developed in Years 1-3 (see unit 11 in Years 1, 2 and 3).

Introducing a 24-hour digital clock

Build on the children’s understanding of the 12-hour digital clock. Consider how to use the knowledge that there are 24 hours in the day and the numbers 13 to 23 to indicate, on a digital clock, how many hours past midnight the time is, without the need to use ‘a.m.’ and ‘p.m.’. You may want to count from 0 to 24 and pause at 12 midday to say that on a 12-hour clock we change from a.m. to p.m. but on a 24-hour clock we use 13, 14 etc. Practice will be needed for children to become fluent that 13:00 is the same are 1 p.m., 14:00 is the same as 2 p.m. etc. Encourage the generalisation that any number for the hours that is 12 or greater is after midday and that any number less than 12 will be before midday. Also to convert from 24-hour to 12-hour, subtract 12 - use the fact that 24-hour time has been created by adding 12 for times that are past midday.

__= 12 + __ 13 = 12 + 1 13:00 is the same as 1pm 13 – 12 = 1 14 = 12 + 2 14:00 is the same as 2pm 14 – 12 = 2 15 = 12 + 3 15:00 is the same as 3pm 15 – 12 = 3 etc.

Use real-life contexts to encourage children to convert from one unit of time to another. You could use ratio charts to show hours to minutes and minutes to seconds, applying knowledge of the 6 times table and scaling by a factor of 10.

Apply knowledge of the 7 times tables for days and weeks:

Opportunities to address this topic in other Year 4 units in the curriculum prioritisation materials:

  • Unit 4: 3, 6 , 9 times tables
  • Unit 5: 7 times table and patterns
  • Unit 6: Understanding and manipulating multiplicative relationships.

Cross-curricular opportunities to address this topic

Throughout the school day refer to when events occur, such as the start and end of the school day, lunchtime etc., increasing awareness from Year 3 by referring to how many minutes past the hour.

Focus on time intervals – for example, how many hours and minutes have passed since break time? Use both analogue and digital clocks.

Continue to support all pupils to know how many days there are in each month. Use opportunities such as writing the date, when you recognise birthdays in your class. Ask questions such as: “Jack’s birthday is on the 29th – which months could this be in? Which months could it not be in?”.

Useful resources

  • Online interactive clocks: ITP clock (Mathsframe), Teaching Clock (topmarks.co.uk)
  • Teaching telling the time: a non-standard approach . This article, written by a Y3 teacher, reflects on teaching telling the time using an approach she observed in Shanghai
  • BBC CBeebies Numberblocks Specials: About Time .

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Analogue to Digital – 24 Hour Year 4 Time Resource Pack

Analogue to Digital - 24 Hour Year 4 Resources

Step 4: Analogue to Digital - 24 Hour Year 4 Summer Block 3 Resources

Analogue to Digital - 24 Hour Year 4 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Summer Block 3.

24 hour clock reasoning and problem solving

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What's included in the pack?

This pack includes:

  • Analogue to Digital - 24 Hour Year 4 Teaching PowerPoint.
  • Analogue to Digital - 24 Hour Year 4 Varied Fluency with answers.
  • Analogue to Digital - 24 Hour Year 4 Decimals Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 4: (4M4b) Read, write and convert time between analogue and digital 12- and 24-hour clocks

Mathematics Year 4: (4M4c) Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days

Differentiation:

Varied Fluency Developing  Questions to support using analogue to digital time (24 hour). Using 15 minute intervals, with fewer options to choose from. Expected  Questions to support using analogue to digital time (24 hour). Using 5 minute intervals, with more options to choose from. Greater Depth  Questions to support using analogue to digital time (24 hour). Using 1 minute intervals, with even more options to choose from.

Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing  Explain how many times an analogue clock would chime on the hour after a given 24-hour time. 15 minute intervals used. Expected  Explain how many times an analogue clock would chime on the hour before or after a given 24-hour time. 5 minute intervals used. Greater Depth  Explain how many times an analogue clock would chime on the hours before and after a given 24-hour time. 1 minute intervals used.

Questions 2, 5 and 8 (Problem Solving) Developing  Work out if a child was on time to an appointment. 15 minute intervals used. Expected  Work out if 2 children were on time, early or late to an appointment. 5 minute intervals used. Greater Depth  Work out if 3 children were on time, early or late to an appointment. 1 minute intervals used.

Questions 3, 6 and 9 (Reasoning) Developing  Explain which child correctly guessed the two 24-hour times a stopped analogue clock would be right in a day. 2 children; 15 minute intervals used. Expected  Explain which child correctly guessed the two 24-hour times a stopped analogue clock would be right in a day. 3 children; 5 minute intervals used. Greater Depth  Explain which child correctly guessed the two 24-hour times a stopped analogue clock would be right in a day. 4 children; 15 minute intervals used.

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12 Hour and 24 Hour Clock Codebreaker

12 Hour and 24 Hour Clock Codebreaker

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Andy Lutwyche's Shop

Last updated

21 July 2022

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  1. PDF Year 3 24-hour Clock Reasoning and Problem Solving

    Mathematics Year 3: (3M4b) Tell and write the time from an analogue clock and 24-hour clocks Mathematics Year 3: (3M4d) Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o'clock, a.m./p.m., Before noon, afternoon, noon and midnight.

  2. Time

    Like the first, this quiz will ask you to solve some problems involving the 24-hour clock. Last time we supplied you with a conversion table to make things a little easier. They'll be no such help this time! But there are some tips which you can remember: 12 am (midnight) is 00:00 on a 24-hour clock. 12 pm (noon) is 12:00 on a 24-hour clock.

  3. 24 Hour Clock Conversion Worksheets

    24 Clock Conversion Worksheets. These sheets have been split into 3 sections. The first set of sheets involve converting am and pm times into 24 clock times. The second set of sheets involve converting 24 hour clock times to 12 hour standard time. The last set of sheets involve both converting between 12 and 24 hour times and back.

  4. Time KS2

    Watch the Clock. Age 7 to 11. Challenge Level. During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

  5. Year 4 DiM: Step 4 Convert to the 24 Hour Clock

    Written to support the new White Rose Maths scheme of learning, this fantastic Diving into Mastery teaching pack complements small step 4: Convert to the 24 Hour Clock, from summer block 3, (Time) and supports the National Curriculum aim, 'Read, write and convert time between analogue and digital 12- and 24-hour clocks'. The questions have been carefully written to develop fluency, reasoning ...

  6. Convert to the 24-Hour Clock

    Mathematics Year 4: (4M4b) Read, write and convert time between analogue and digital 24-hour clocks. This resource is available to download with a Premium subscription. This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of converting to 24-hour time.

  7. PDF Year 5 Timetables Reasoning and Problem Solving

    Times in 24 hour clock. Questions 3, 6 and 9 (Reasoning) Developing Read and interpret information on a timetable and convert between minutes and hours, using multiples of 5 or 10 minutes. Expected Read and interpret information on a timetable and convert between seconds and minutes or minutes and hours, using some multiples of 5 or 10 minutes.

  8. Convert between 12-Hour and 24-Hour Clocks Worksheets

    Convert between 24-Hour and 12-Hour Times. Breathe life into your converting between 12-hour and 24-hour clocks skill with these 2-part exercises! First up are a set of a.m/p.m. times to be written in 24-hour clock notation. Then, there are a bunch of 24-hour times to be converted into a.m./p.m. Download the set

  9. Telling the time, 12 and 24 hour clock and time converting problems

    3 lessons on telling the time from an analogue clock, 12 and 24 hour time and converting problems involving units of time with problem solving and reasoning included. Ideal for Year 4 or 5 children who have not secured telling the time yet. Accelerated learning to help fill gaps. Selection of differentiated questions for each lesson.

  10. PDF Reasoning and Problem Solving About This Resource

    Hours in a day Telling the time to 5 minutes Telling the time to the minute Am and PM 24 hour clock Finding the duration Comparing the duration Start and end times Measuring time in seconds National Curriculum Objectives: Mathematics Year 3: (3M4a) Tell and write the time from an analogue clock; 12-hour clocks

  11. 04.3 Convert from the 24 hour clock

    Year 4 Convert from the 24-Hour Clock Teaching PPT. This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to further extend and practise the main skill of converting from the 24-Hour Clock. The post Convert from the 24-hour Clock - Homeworkappeared first on Classroom Secrets.

  12. Digital Clock Problem Solving Worksheet / Worksheet

    These problem solving questions will test the children's ability to add on time and reinforce the analogue clock. ... time time digital clock worksheet read timetables using the 24-hour clock time problems time displays 24-hour clock ages 7-9 ... KS2 Reasoning Test Practice Solve Problems Converting Between Units of Time.

  13. PDF Year 3 Finding the Duration Reasoning and Problem Solving

    Greater Depth Use three clues describing the duration of an event to work out when the event started. Includes increments of 1 minute (using 24 hour clock). Questions 2, 5 and 8 (Problem Solving) Developing Given a duration of time, subtract increments of 10 minutes to work out how much time is left (using 12 hour clock).

  14. School Time Problem Solving Worksheet

    Converting 12-Hour and 24-Hour Clock Differentiated Worksheets. Time Fluency Reasoning and Problem-Solving Maths Mastery Challenge Cards. Party Time Problem Solving Worksheet. KS1 Time Worksheet Pack Flight Times. 24 Hour Time Conversion PowerPoint. Converting Time Worksheets.

  15. Time

    Introducing a 24-hour digital clock. Build on the children's understanding of the 12-hour digital clock. Consider how to use the knowledge that there are 24 hours in the day and the numbers 13 to 23 to indicate, on a digital clock, how many hours past midnight the time is, without the need to use 'a.m.' and 'p.m.'.

  16. Reasoning Questions Year 6

    This practise test filled with reasoning questions for Year 6 focuses on solving problems converting between units of time. Time reasoning questions could come up as part of the Year 6 SATs. The practise test includes questions on effectively reading the time using clock faces, calculating how many minutes there are between certain times and working with 12 and 24 hour time displays.The ...

  17. PDF Year 1 Time to the Hour Reasoning and Problem Solving

    Reasoning and Problem Solving -Time to the Hour 4a. Which clock is showing 8 o'clock. Explain how you know. 4b. Which clock is showing 11 o'clock. Explain how you know. 5a. Find the odd one out by matching two pairs. 5b. Find the odd one out by matching two pairs. 6a. Lara shows the time she gets out of bed on a morning. She says this is ...

  18. Problem-Solving Investigation: Timetables and intervals: 24 hour clock

    Children find out how many times the digit 9 is used on the 24 hour digital clock between noon and midnight. This problem-solving investigation is part of our Year 5 Measures and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for ...

  19. Analogue to Digital

    Reasoning and Problem Solving Questions 1, 4 and 7 (Reasoning) Developing Explain how many times an analogue clock would chime on the hour after a given 24-hour time. 15 minute intervals used. Expected Explain how many times an analogue clock would chime on the hour before or after a given 24-hour time. 5 minute intervals used.

  20. PDF Year 5 Timetables Reasoning and Problem Solving

    the hour. Use of 12 and 24-hour clocks. Questions 3, 6 and 9 (Reasoning) Developing Explain if a statement is correct. Timetables at 5-minute intervals, not crossing an hour. Use of the 12-hour clock only. Expected Explain if a statement is correct. Timetables at 1-minute intervals using a 12-hour clock, with some crossing over the hour ...

  21. Time Fluency Reasoning and Problem-Solving Maths Mastery ...

    Develop fluency, reasoning and problem-solving skills using these structured time inspired challenge cards. The time challenge cards covers time sequences, before and after, time word problems, true or false statements relating to days of the week, months of the year and seconds in a minute. Each time activity question prompts children to use their reasoning skills to explain their answer ...

  22. 12 Hour and 24 Hour Clock Codebreaker

    Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 13.49 KB. docx, 13.41 KB. The usual joke found by converting times from 12 hour to 24 hour clock and vice versa. Also includes some "worded" times. Designed for starter, plenary, discussion, homework.