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Telling the time

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visibility 19update 4 days agobookmarkshare

In this topic you will

  • Read and record time to $5$ minutes on analogue and digital clocks.
  • Explain what “quarter past” and “quarter to” mean.
 

Key Words

  • analogue clock
  • digital clock
  • quarter past
  • quarter to
Show Definitions
  • analogue clock: A clock with a circular face and hands that point to the numbers to show the time.
  • digital clock: A clock that shows the time using digits (numbers), such as $07:35$.
  • quarter past: A time that is $15$ minutes after the hour (for example, quarter past $3$ is $3:15$).
  • quarter to: A time that is $15$ minutes before the next hour (for example, quarter to $4$ is $3:45$).
 

You need to be able to read and record the time so that you can be in the correct place at the correct time.

Telling the time means you can meet your friends, catch a train or a bus, go to the cinema and so much more.

 

EXERCISES

$1$. How many minutes are in $1$ hour?

👀 Show answer
There are $60$ minutes in $1$ hour. An hour is made of $60$ equal minutes, so writing $12$ is incorrect because $12$ is the number of hours on a clock face, not the number of minutes in an hour.

$2$. How many minutes are in half an hour?

👀 Show answer
Half an hour is half of $60$ minutes, so it is $30$ minutes.

$3$. Make the analogue and digital clocks show the correct time.

Six clock tasks showing times: 20 minutes past 10, 5 minutes past 7, 30 minutes past 11, 15 minutes past 12, 10 minutes past 8, and 25 minutes past 9, with blank analogue and digital clock spaces

👀 Show answer
  • $20$ minutes past $10$:$10:20$
  • $5$ minutes past $7$:$7:05$
  • $30$ minutes past $11$:$11:30$
  • $15$ minutes past $12$:$12:15$
  • $10$ minutes past $8$:$8:10$
  • $25$ minutes past $9$:$9:25$

On each analogue clock, the minute hand points to the correct number of minutes, and the hour hand sits just after the hour number (moving further as the minutes increase).

 
Worked example

Make the analogue and digital clocks show $20$ minutes to $5$.

Blank analogue clock and blank digital display to show 20 minutes to 5

Answer:

Completed analogue clock showing 20 minutes to 5 with coloured sections for to/past and a digital time of 04:40

$1$. Draw in the minute hand on the analogue clock. $20$ minutes until the next hour is the same as $40$ minutes past the hour. The minute hand must be at the $8$.

$2$. Now draw the hour hand on the analogue clock. The hour hand must be more than halfway beyond $4$ but not as far as $5$.

$3$. Write the time in numbers on the digital clock. $20$ to is the same as $40$ past, so the digital time is $4:40$.

 

EXERCISES

$4$. Make the analogue and digital clocks show the correct time.

Four clock tasks showing times: 10 minutes to 4, 5 minutes to 2, 25 minutes to 1, and 15 minutes to 6, with blank analogue clocks and blank digital displays

👀 Show answer
  • $10$ minutes to $4$:$3:50$
  • $5$ minutes to $2$:$1:55$
  • $25$ minutes to $1$:$12:35$
  • $15$ minutes to $6$:$5:45$

On each analogue clock, place the minute hand on the correct minute mark and place the hour hand just before the next hour (closer to the next hour when there are fewer minutes left).

 

Think like a Mathematician

The minute hand is pointing to an odd number greater than $6$. What could the time be? How many different times are there?

Method:

  1. List the odd numbers greater than $6$ on a clock face.
  2. For each number, write the minutes it represents (each number is $5$ minutes).
  3. Choose an hour and write a possible time for each minute value.
  4. Check your times by imagining where the minute hand would point on an analogue clock.
Show Answers
  • Odd numbers greater than $6$:$7$, $9$, $11$.
  • Minutes they represent:$7 \times 5 = 35$ minutes, $9 \times 5 = 45$ minutes, $11 \times 5 = 55$ minutes.
  • So the minute hand could show:$35$, $45$, or $55$ minutes past the hour.
  • Examples of possible times:$2:35$, $2:45$, $2:55$ (and the same minute values work for any hour).
  • How many different times? There are $3$ different minute positions, so there are $3$ possible minute values. If you include all $12$ possible hours on the clock face, that gives $3 \times 12 = 36$ different times.
 
Worked example

What is the difference between quarter past and quarter to the hour?

Answer:

Quarter past: The minute hand on the analogue clock points to the $3$. It is $15$ minutes past the hour. The digital time shows the hour and $15$ minutes, for example $12:15$.

Quarter to: The minute hand on the analogue clock points to the $9$. It is $45$ minutes past the hour and $15$ minutes to the next hour. The digital time shows the hour and $45$ minutes, for example $12:45$.

 

EXERCISES

$5$. Complete the clocks and write the time in words.

Table with columns Analogue clock, Time in words, Digital clock, showing four rows of clock times to complete (two analogue shown with blank digital times, and two digital times 10:45 and 04:15 with blank analogue clocks)

👀 Show answer
  • Row $1$: Digital clock $02:15$; time in words: quarter past $2$.
  • Row $2$: Digital clock $06:45$; time in words: quarter to $7$.
  • Row $3$: Analogue clock shows $10:45$; time in words: quarter to $11$.
  • Row $4$: Analogue clock shows $04:15$; time in words: quarter past $4$.

$6$. Complete the clocks.

Draw a ring around the correct time of day.

👀 Show answer
  • Quarter to $5$: Digital time $4:45$; ring Afternoon.
  • Quarter past $3$: Digital time $3:15$; ring Afternoon.
  • Quarter to $8$: Digital time $7:45$; ring Morning.
  • Quarter past $8$: Digital time $8:15$; ring Evening.
 

What we've learned

  • We learned that $1$ hour is $60$ minutes and half an hour is $30$ minutes.
  • We practised reading and recording time to the nearest $5$ minutes on analogue and digital clocks.
  • We learned that “quarter past” means $15$ minutes past the hour, so the minute hand points to the $3$ and the digital time ends in $:15$.
  • We learned that “quarter to” means $15$ minutes until the next hour, which is the same as $45$ minutes past the hour, so the minute hand points to the $9$ and the digital time ends in $:45$.
  • We used “past” and “to” to convert between times in words and digital times (for example, $20$ to $5$ is the same as $4:40$).

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