Solved Exercises on Reading Analog Clocks in Grade 3

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

Solution: Exercises 1 to 3
1 Telling time to the hour
Exercise 1
What time is shown on the clock when the hour hand points to 3 and the minute hand points to 12?
Definition:

Analog clock: A circular timepiece with hands that move to show the time

Reading method:
  1. Look at the hour hand to determine the hour
  2. Look at the minute hand to determine the minutes
  3. Combine the hour and minute information
Hour Hand
Points to 3
Minute Hand
Points to 12
Time
3:00
Step 1: Identify the hour hand position

The hour hand points to 3, so the hour is 3

Step 2: Identify the minute hand position

The minute hand points to 12, which means 0 minutes

Step 3: Combine the information

Hour: 3, Minutes: 00, so the time is 3:00

The time is 3:00
Final answer:

The time shown on the clock is 3:00 (three o'clock)

Applied rules:

• Hour hand: Points to the current hour

• Minute hand: Points to 12 means 0 minutes

• Time format: Hour:Minutes

2 Telling time to the half-hour
Exercise 2
What time is shown when the hour hand is halfway between 4 and 5, and the minute hand points to 6?
Definition:

Half-hour: When the minute hand points to 6, representing 30 minutes past the hour

Hour Hand
Between 4 and 5
Minute Hand
Points to 6
Time
4:30
Step 1: Determine the hour

When the hour hand is between 4 and 5, the hour is still 4

Step 2: Determine the minutes

When the minute hand points to 6, it represents 30 minutes

Step 3: Combine the information

Hour: 4, Minutes: 30, so the time is 4:30

The time is 4:30
Final answer:

The time shown on the clock is 4:30 (four thirty)

Applied rules:

• Hour determination: Use the hour the hand has passed

• Half-hour: Minute hand at 6 = 30 minutes

• Time format: Hour:Minutes

3 Telling time to the quarter-hour
Exercise 3
What time is shown when the hour hand is slightly past 7 and the minute hand points to 3?
Definition:

Quarter-hour: When the minute hand points to 3 (15 minutes), 6 (30 minutes), or 9 (45 minutes)

Hour Hand
Slightly past 7
Minute Hand
Points to 3
Time
7:15
Step 1: Determine the hour

The hour hand is past 7, so the hour is 7

Step 2: Determine the minutes

When the minute hand points to 3, it represents 15 minutes

Step 3: Combine the information

Hour: 7, Minutes: 15, so the time is 7:15

Step 4: Express the final time

Seven fifteen or 7:15

The time is 7:15
Final answer:

The time shown on the clock is 7:15 (seven fifteen)

Applied rules:

• Quarter-hour: Point 3 = 15 minutes

• Hour determination: Use the hour the hand has passed

• Time format: Hour:Minutes

Analog Clock Reading Fundamentals
\text{Time} = \text{Hour}:\text{Minutes}
Basic Time Format
Clock Numbers
12 numbers: 1-12
Hours on the clock
Minute Intervals
Each number = 5 minutes
From 12 to 12 = 60 minutes
Hand Roles
Short = Hour, Long = Minute
Identifying the hands
Key definitions:

Hour hand: The shorter hand that indicates the hour (or which hour has just passed)

Minute hand: The longer hand that indicates the minutes past the hour

Quarter hour: 15-minute intervals (15, 30, 45 minutes past the hour)

Half hour: 30 minutes past the hour

4-step reading method:
  1. Identify the hands: Short = hour, Long = minute
  2. Determine the hour: Look at the hour hand's position
  3. Determine the minutes: Look at the minute hand's position
  4. Combine: Write the time in HH:MM format
Tip 1: The hour hand moves slowly - it's halfway between numbers at half-hour marks.
Tip 2: Count by 5s around the clock: 5, 10, 15, 20, ..., 60.
Tip 3: Remember: 12:00, 3:00, 6:00, 9:00 are key reference points.
Tip 4: Practice saying times out loud: "quarter past," "half past," "quarter to."
Common errors: Confusing hour and minute hands, misreading the hour when the hand is between numbers.
Memory aid: "The short hand tells the hour, the long hand tells the minutes."
Key time positions:

• 12 = 0 minutes, 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 = 60 minutes (or 0 minutes for next hour)

Solution: Exercises 4 to 5
4 Telling time to the minute
Exercise 4
What time is shown when the hour hand is between 2 and 3, closer to 3, and the minute hand points to 8?
Definition:

Telling time to the minute: Reading the exact time by counting minutes past the hour

Hour Hand
Between 2 and 3, closer to 3
Minute Hand
Points to 8
Calculation
8 × 5 = 40 minutes
Time
2:40
Step 1: Determine the hour

The hour hand is between 2 and 3, but hasn't reached 3 yet, so the hour is 2

Step 2: Determine the minutes

When the minute hand points to 8, count: 8 × 5 = 40 minutes

Step 3: Combine the information

Hour: 2, Minutes: 40, so the time is 2:40

Step 4: Express the final time

Twenty forty or 2:40

The time is 2:40
Final answer:

The time shown on the clock is 2:40 (twenty forty)

Applied rules:

• Minute calculation: Each number = 5 minutes

• Hour determination: Use the hour the hand has passed

• Time format: Hour:Minutes

5 Time comparison problem
Exercise 5
One clock shows the hour hand between 11 and 12, and the minute hand at 10. Another clock shows 11:45. Which clock shows the later time?
Definition:

Time comparison: Determining which of two times is earlier or later

Clock 1
Hour: 11, Min: 50
Clock 2
11:45
Comparison
11:50 vs 11:45
Result
11:50 is later
Step 1: Read first clock

Hour hand between 11 and 12 = hour 11; minute hand at 10 = 50 minutes

Step 2: Identify second time

Second clock shows 11:45

Step 3: Compare the times

First clock: 11:50, Second clock: 11:45

Step 4: Determine which is later

Since 50 minutes > 45 minutes, 11:50 is later

The first clock shows the later time (11:50)
Final answer:

The first clock (showing 11:50) shows the later time

Applied rules:

• Minute calculation: Each number = 5 minutes

• Time comparison: Compare minutes when hours are the same

• Verification: Check if answer makes sense

Complete Analog Clock Reading Guide
\text{Minutes} = \text{Number on Clock} \times 5
Minute Calculation Formula
Key definitions:

AM: Ante Meridiem - morning hours (12:00 midnight to 11:59 noon)

PM: Post Meridiem - afternoon/evening hours (12:00 noon to 11:59 midnight)

Elapsed time: The amount of time that passes between two moments

Advanced reading techniques:
  1. Quarter phrases: 15 minutes = "quarter past," 45 minutes = "quarter to"
  2. Half hour: 30 minutes = "half past"
  3. Minute counting: Count by 5s from 12 to minute hand position
  4. Hour determination: Use hour that has been passed, not the upcoming one
Tip 1: Remember: "The hour hand has passed the hour it's pointing to."
Tip 2: At 3:30, the hour hand is halfway between 3 and 4.
Tip 3: Practice with real clocks and say times out loud.
Tip 4: Draw clock faces to visualize different times.
Common errors: Reading the hour as the upcoming hour instead of the one passed, miscounting minutes.
Success strategies: Practice daily, use multiple clocks, relate to daily activities.
Essential time facts:

• 60 seconds = 1 minute, 60 minutes = 1 hour, 24 hours = 1 day

• Each number on the clock represents 5 minutes

• The hour hand moves 1/12 of the way around the clock each hour

• The minute hand moves 1/60 of the way around the clock each minute

Clock Face Learning Guide
Clock Face Positions
Understanding how minutes correspond to numbers on the clock face:
12 = 0 min, 1 = 5 min, 2 = 10 min, ..., 11 = 55 min

Key Positions:

  • 12 = 0 or 60 minutes (top of the hour)
  • 3 = 15 minutes (quarter past)
  • 6 = 30 minutes (half past)
  • 9 = 45 minutes (quarter to)

Questions & Answers

Question: I get confused when the hour hand is between two numbers. How do I know which hour it is?

Answer: This is a common confusion! Here's the key rule:

  • The hour is determined by the last number the hour hand has passed, not the next number it's approaching.
  • If the hour hand is between 3 and 4, the hour is 3 (not 4).
  • If the hour hand is halfway between 3 and 4, the time is 3:30.

Think of it this way: the hour hand doesn't "jump" to the next hour until it reaches that number. Until then, it's still in the previous hour.

Example: If the hour hand is just past 7 and the minute hand is at 6, the time is 7:30 (not 8:30).

Question: How do I quickly figure out how many minutes when the minute hand points to a number?

Answer: There's a simple multiplication pattern! Each number on the clock face represents 5 minutes:

  • 1 = 5 minutes (1 × 5)
  • 2 = 10 minutes (2 × 5)
  • 3 = 15 minutes (3 × 5)
  • 4 = 20 minutes (4 × 5)
  • And so on...

So if the minute hand points to 7, multiply 7 × 5 = 35 minutes.

You can also count by 5s around the clock: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

Practice counting by 5s to make this faster!

Question: What do "quarter past," "half past," and "quarter to" mean?

Answer: These are common ways to describe time based on quarters of an hour (15 minutes):

  • Quarter past: 15 minutes past the hour (minute hand at 3)
  • Half past: 30 minutes past the hour (minute hand at 6)
  • Quarter to: 15 minutes before the next hour (minute hand at 9)

Examples:

  • 1:15 = "quarter past one"
  • 2:30 = "half past two"
  • 3:45 = "quarter to four"

These expressions help us speak about time in a more natural way!

Note: "Quarter to" means 15 minutes until the next hour, not the current hour.