Time — Grade 2 Mathematics

In Grade 2, we add quarter past and quarter to to our clock-reading skills and learn to connect analogue time to digital displays. We also explore AM and PM, calculate elapsed time (how long something takes), and use the calendar more precisely.

Reading the Clock — New Times

Quarter past — the minute hand points to 3. 15 minutes have passed.
  e.g., "Quarter past 4" = 4:15

Quarter to — the minute hand points to 9. 15 minutes to the next hour.
  e.g., "Quarter to 5" = 4:45

Half past — the minute hand points to 6. 30 minutes past.
  e.g., "Half past 3" = 3:30

O'clock — the minute hand points to 12. Exactly on the hour.
  e.g., "2 o'clock" = 2:00

💡 Memory trick: Think of the clock as a pizza 🍕. It has 12 equal slices. O'clock = 0 slices eaten; quarter past = 3 slices eaten (¼ of 12); half past = 6 slices eaten; quarter to = 9 slices eaten.

AM and PM

AM (ante meridiem) — times from midnight to noon (12:00 AM to 11:59 AM).
PM (post meridiem) — times from noon to midnight (12:00 PM to 11:59 PM).

The day has 24 hours: 12 AM hours + 12 PM hours.

Analogue	Digital	AM or PM?	Activity
7 o'clock	7:00	AM ☀️	Waking up
Quarter past 12	12:15	PM 🌞	Lunch time
Half past 3	3:30	PM 🏫	School ends
Quarter to 9	8:45	PM 🌙	Bedtime

Worked Examples

Example 1 — Reading the Clock

The hour hand points between 4 and 5. The minute hand points to 9. What time is it?

Minute hand at 9 = "quarter to" the next hour
The next hour after 4 is 5
Time = quarter to 5 = 4:45

Example 2 — Calculating Elapsed Time

School starts at 9:00 AM and ends at 3:30 PM. How long is the school day?

9:00 AM to 12:00 PM = 3 hours
12:00 PM to 3:30 PM = 3 hours 30 minutes
Total = 3 + 3 hours 30 minutes = 6 hours 30 minutes

Example 3 — Real World: Film Time 🎬

A film starts at 7:15 PM and lasts 1 hour 45 minutes. What time does it end?

7:15 PM + 1 hour = 8:15 PM
8:15 PM + 45 minutes = 9:00 PM

The film ends at 9:00 PM.

Practice Questions

Try these! Work out the answers first, then check.

1. Write "quarter past 8" as a digital time.

✅ 8:15

2. Write "quarter to 6" as a digital time.

✅ 5:45

3. A match starts at 2:30 PM and lasts 2 hours 15 minutes. What time does it end?

✅ 2:30 PM + 2 hours = 4:30 PM + 15 min = 4:45 PM

4. How many minutes are in 2.5 hours?

✅ 2.5 × 60 = 150 minutes

5. Is 11:30 AM before or after noon?

✅ Before noon — AM times are always before 12:00 PM (noon).

Key Points to Remember

Minute hand at 3 = quarter past (15 min). At 9 = quarter to (45 min past previous hour).
AM = midnight to noon. PM = noon to midnight.
There are 60 minutes in 1 hour and 24 hours in a day.
To find end time: add the duration to the start time.
To find duration: count from start time to end time in hours and minutes.

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