Solved Exercises on Reading Analog Clocks in Grade 2

Master reading analog clocks: telling time to the hour, half-hour, and quarter-hour through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Time to the hour
Exercise 1
What time is shown on this clock?
Hour hand points to 3, minute hand points to 12
Definition:

Analog clock: A clock with hands that move around a circular face to show the time.

Clock reading method:
  1. Look at the hour hand (short, thick hand)
  2. Look at the minute hand (long, thin hand)
  3. When minute hand points to 12, it's on the hour
  4. Hour hand tells you which hour it is
12
1
2
3
4
5
6
7
8
9
10
11
3:00
3 o'clock
Step 1: Identify the hour hand

The hour hand (shorter, thicker) points to 3

Step 2: Identify the minute hand

The minute hand (longer, thinner) points to 12

Step 3: Determine the time

When minute hand is at 12, it's exactly on the hour

Since hour hand points to 3, it's 3 o'clock

Step 4: Write in digital format

3 o'clock = 3:00

3:00
Final answer:

The time is 3:00 (3 o'clock).

Applied rules:

• Minute hand at 12: Means it's exactly on the hour

• Hour hand position: Points to the current hour

• Digital format: Hour:00 for exact hours

2 Half-hour time
Exercise 2
What time is shown on this clock?
Hour hand is halfway between 6 and 7, minute hand points to 6
Definition:

Half-hour: When the minute hand points to 6, it's 30 minutes past the hour (halfway through the hour).

12
1
2
3
4
5
6
7
8
9
10
11
6:30
Half past 6
Step 1: Identify the minute hand

The minute hand points to 6, which means 30 minutes

Step 2: Identify the hour hand

The hour hand is halfway between 6 and 7

Step 3: Determine the hour

When the hour hand is between numbers, it's the lower number

So it's still 6 o'clock (not yet 7 o'clock)

Step 4: Combine hour and minutes

6 o'clock + 30 minutes = 6:30

6:30
Final answer:

The time is 6:30 (half past 6).

Applied rules:

• Minute hand at 6: Means 30 minutes (half hour)

• Hour hand between numbers: Use the number it came from

• Half past: Another way to say 30 minutes past the hour

3 Quarter-hour time
Exercise 3
What time is shown on this clock?
Hour hand is between 9 and 10, closer to 9, minute hand points to 3
Definition:

Quarter-hour: When the minute hand points to 3, it's 15 minutes past the hour (a quarter of the way through the hour).

12
1
2
3
4
5
6
7
8
9
10
11
9:15
Quarter past 9
Step 1: Identify the minute hand

The minute hand points to 3, which means 15 minutes

Step 2: Identify the hour hand

The hour hand is between 9 and 10, but closer to 9

Step 3: Determine the hour

Since the hour hand is closer to 9, it's still 9 o'clock

Step 4: Combine hour and minutes

9 o'clock + 15 minutes = 9:15

9:15
Final answer:

The time is 9:15 (quarter past 9).

Applied rules:

• Minute hand at 3: Means 15 minutes (quarter hour)

• Hour hand position: Use the number it's closest to

• Quarter past: Another way to say 15 minutes past the hour

Rules and methods, laws,...
\text{Time} = \text{Hour}:\text{Minutes}
Time Format
Time 1
\text{Hour Hand at Number} = \text{On the Hour}
Example: 3:00
Time 2
\text{Min Hand at 6} = \text{Half Past}
Example: 6:30
Time 3
\text{Min Hand at 3} = \text{Quarter Past}
Example: 9:15
Key definitions:

Hour hand: The shorter, thicker hand that shows the hour

Minute hand: The longer, thinner hand that shows the minutes

O'clock: When the minute hand points to 12

Half past: When the minute hand points to 6 (30 minutes)

Quarter past: When the minute hand points to 3 (15 minutes)

Quarter to: When the minute hand points to 9 (45 minutes)

Complete clock reading methodology:
  1. Identify hands: Find hour hand and minute hand
  2. Read minutes: See where minute hand points
  3. Read hour: See where hour hand points
  4. Combine: Put hour and minutes together
  5. Verify: Make sure time makes sense
Tip 1: The hour hand is shorter and moves slower than the minute hand.
Tip 2: Remember: 12, 3, 6, 9 = 0, 15, 30, 45 minutes respectively.
Tip 3: When hour hand is between numbers, use the number it came from.
Tip 4: Practice with real clocks to build confidence.
Common errors: Mixing up hour and minute hands, reading hour hand incorrectly when between numbers, not knowing that minute hand at 6 means 30 minutes.
Memory aids: "The hour hand is HOURS, shorter and slower" - helps remember which hand is which.
Rules to know by heart:

• Minute hand at 12 = 0 minutes (on the hour)

• Minute hand at 3 = 15 minutes (quarter past)

• Minute hand at 6 = 30 minutes (half past)

• Minute hand at 9 = 45 minutes (quarter to)

• Hour hand determines the hour when between numbers

Solution: Exercises 4 to 5
4 Quarter to time
Exercise 4
What time is shown on this clock?
Hour hand is between 4 and 5, closer to 5, minute hand points to 9
Definition:

Quarter to: When the minute hand points to 9, it's 45 minutes past the hour, or 15 minutes before the next hour.

12
1
2
3
4
5
6
7
8
9
10
11
4:45
Quarter to 5
Step 1: Identify the minute hand

The minute hand points to 9, which means 45 minutes

Step 2: Identify the hour hand

The hour hand is between 4 and 5, but closer to 5

Step 3: Determine the hour

Even though the hour hand is near 5, it's still in the 4 o'clock hour

It's 4:45, not 5:45

Step 4: Alternative expression

4:45 is also called "quarter to 5" because there are 15 minutes until 5 o'clock

4:45 (quarter to 5)
Final answer:

The time is 4:45, which can also be called "quarter to 5".

Applied rules:

• Minute hand at 9: Means 45 minutes (quarter to next hour)

• Hour determination: Still in previous hour when between numbers

• Alternative names: Quarter to = 45 minutes past the hour

5 Mixed practice
Exercise 5
What time is shown on this clock?
Hour hand is slightly past 11, minute hand is pointing to 1
Definition:

Minutes past the hour: Each number on the clock represents 5 minutes past the hour.

12
1
2
3
4
5
6
7
8
9
10
11
11:05
5 minutes past 11
Step 1: Identify the minute hand

The minute hand points to 1, which is 5 minutes past the hour

Step 2: Identify the hour hand

The hour hand is slightly past 11, moving toward 12

Step 3: Determine the hour

Since the hour hand hasn't reached 12 yet, it's still 11 o'clock

Step 4: Combine hour and minutes

11 o'clock + 5 minutes = 11:05

11:05
Final answer:

The time is 11:05 (5 minutes past 11).

Applied rules:

• Each number = 5 minutes: 1=5min, 2=10min, 3=15min, etc.

• Hour hand movement: Moves gradually as minutes pass

• Hour determination: Use number hour hand has passed

Key Concepts and Memory Aids for Reading Analog Clocks
\text{Minutes} = \text{Number Position} \times 5
Clock Arithmetic
Key definitions:

Hour hand: The shorter, thicker hand that shows the hour (moves slowly)

Minute hand: The longer, thinner hand that shows the minutes (moves quickly)

On the hour: When minute hand points to 12 (0 minutes)

Half past: When minute hand points to 6 (30 minutes)

Quarter past: When minute hand points to 3 (15 minutes)

Quarter to: When minute hand points to 9 (45 minutes)

Minutes per number: Each number represents 5 minutes

Step-by-step clock reading methods:
  1. Identify hands: Locate hour hand and minute hand
  2. Read minutes: Check minute hand position (multiply by 5)
  3. Read hour: Check hour hand position
  4. Combine: Write in hour:minutes format
  5. Verify: Ensure time makes logical sense
Memory trick: "The hour hand is HOURS, shorter and slower" - helps remember which hand is which.
Number pattern: Each number = 5 minutes: 1→5, 2→10, 3→15, 4→20, etc.
Hour rule: When hour hand is between numbers, use the number it came from.
Practice: Use real clocks and watches to build fluency.
Common mistakes: Confusing hour and minute hands, reading hour incorrectly when between numbers, not knowing that each number represents 5 minutes.
Quick facts: Full circle = 60 minutes, each number = 5 minutes, hour hand moves gradually as minutes pass.
Essential rules to memorize:

• Minute hand positions: 12=0min, 3=15min, 6=30min, 9=45min

• Each number on clock face = 5 minutes

• Hour hand determines the hour when between numbers

• Hour hand moves gradually, not instantly to next number

Analog Clock Reading Infographic

⏰
Hand Identification

Hour Hand: Short, Thick, Slow

Minute Hand: Long, Thin, Fast

Key Positions

12 = 0 min (o'clock)

3 = 15 min (quarter past)

6 = 30 min (half past)

9 = 45 min (quarter to)

Important Rules

Between numbers: Use number hour hand came from

Each number = 5 minutes

Clock Reading Process
1
Find hands
2
Read minutes
3
Read hour
4
Combine

Questions & Answers

Question: How do I know which hand is the hour hand and which is the minute hand?

Answer: Here are some easy ways to tell them apart:

  • Length: The minute hand is longer than the hour hand
  • Thickness: The hour hand is usually thicker than the minute hand
  • Speed: The minute hand moves much faster than the hour hand
  • Movement: The minute hand goes around the clock once every hour, while the hour hand moves slowly throughout the day

A memory trick: "The hour hand is HOURS, shorter and slower!"

Question: What if the hour hand is between two numbers? How do I know which hour it is?

Answer: When the hour hand is between two numbers, always use the number it came from (the lower number).

For example:

  • If the hour hand is between 3 and 4, it's still 3 o'clock (not 4 o'clock yet)
  • If the hour hand is between 8 and 9, it's still 8 o'clock
  • The hour changes only when the hour hand reaches the next number

Think of it this way: The hour hand is "working its way toward" the next number but hasn't arrived yet!

Question: How do I know how many minutes have passed when the minute hand points to numbers other than 3, 6, 9, and 12?

Answer: Each number on the clock face represents 5 minutes! Here's the pattern:

1 = 5 minutes
2 = 10 minutes
3 = 15 minutes
4 = 20 minutes
5 = 25 minutes
6 = 30 minutes
7 = 35 minutes
8 = 40 minutes
9 = 45 minutes
10 = 50 minutes
11 = 55 minutes
12 = 0 minutes

To find the minutes, multiply the number by 5. For example, if the minute hand points to 4: 4 × 5 = 20 minutes.

There are 60 minutes in an hour, and 12 numbers × 5 minutes each = 60 minutes total!