Solved Exercises on Telling Time to the Nearest Minute

Master telling time to the nearest minute: reading analog clocks, converting between digital and analog formats, and solving elapsed time problems through these 3 detailed exercises.

Solution: Exercises 1 to 3
1 Reading Analog Clocks
Exercise 1
What time does this clock show?
12
9
3
6
Definition:

Telling time to the nearest minute: Reading both hour and minute hands on an analog clock to determine exact time

Reading analog clocks:
  1. Identify the hour hand (shorter, thicker hand)
  2. Identify the minute hand (longer, thinner hand)
  3. Read the hour from where the hour hand is pointing
  4. Count the minutes from the 12 o'clock position using the minute hand
Step 1: Identify the hour hand

The hour hand is pointing to 3 (between 3 and 4)

Step 2: Identify the minute hand

The minute hand is pointing to 6, which represents 30 minutes

Step 3: Combine hour and minutes

Hour: 3, Minutes: 30 → 3:30

3:30
Final answer:

The clock shows 3:30 (thirty minutes past three)

Applied rules:

• Hour hand: Points to the current hour or between hours

• Minute hand: Each number represents 5 minutes (1→5, 2→10, 3→15, etc.)

• Reading: Hour:Minutes format

2 Converting Between Formats
Exercise 2
Convert 2:45 PM to analog clock format and draw the positions of the hands.
Definition:

Digital to analog conversion: Translating digital time format to positions on an analog clock face

Step 1: Identify the hour

Hour: 2 (PM means afternoon/evening)

Step 2: Identify the minutes

Minutes: 45 (the minute hand points to the 9)

Step 3: Position the hands

Hour hand: slightly before 3 (since 45 minutes have passed), Minute hand: pointing to 9

12
9
3
6
Hour hand at 2:45 position, minute hand at 9
Final answer:

At 2:45, the hour hand is 3/4 of the way from 2 to 3, and the minute hand points to 9

Applied rules:

• Hour hand movement: Moves gradually as minutes pass

• Minute hand positioning: Each number = 5 minutes (45 minutes = 9)

• PM/AM: PM indicates afternoon/evening time

3 Elapsed Time Problems
Exercise 3
Sarah started her homework at 4:15 PM and finished at 5:30 PM. How much time did she spend on homework?
Definition:

Elapsed time: The amount of time that passes between two specific times

Step 1: Identify start and end times

Start: 4:15 PM, End: 5:30 PM

Step 2: Calculate hours difference

From 4:15 PM to 5:15 PM = 1 hour

Step 3: Calculate remaining minutes

From 5:15 PM to 5:30 PM = 15 minutes

Step 4: Add together

Total time = 1 hour + 15 minutes = 1 hour and 15 minutes

1 hour and 15 minutes
Final answer:

Sarah spent 1 hour and 15 minutes on her homework

Applied rules:

• Elapsed time calculation: Subtract start time from end time

• Time counting: Count full hours first, then remaining minutes

• Regrouping: If needed, convert hours to minutes for easier calculation

Time Rules and Methods
⏰
Time to the Nearest Minute
1:05
Five minutes past one
2:30
Half past two
3:45
Quarter to four
12:00
Twelve o'clock
Time Reading Method:
  1. Identify the hour: Look at the hour hand's position
  2. Count the minutes: Each number on clock = 5 minutes
  3. Combine: Hour:Minutes format
  4. Check AM/PM: Morning or afternoon/evening
Tip 1: The hour hand moves gradually as minutes pass.
Tip 2: Each number on the clock face represents 5 minutes.
Tip 3: At 30 minutes, the minute hand points to 6 (halfway).
Common errors: Confusing hour and minute hands, misreading positions, forgetting AM/PM.
Key facts: 60 minutes = 1 hour, 12 hours on clock face, minute hand moves faster than hour hand.
Time Conversion Rules:

• 12-hour to 24-hour: Add 12 to PM times after 12:00

• Minutes calculation: Position × 5 (e.g., 7 = 35 minutes)

• Elapsed time: End time - Start time

Time Concepts and Vocabulary
🕐
Analog vs Digital Time
Key definitions:

Hour hand: Shorter hand that shows the hour

Minute hand: Longer hand that shows the minutes

AM: Before noon (morning)

PM: After noon (afternoon/evening)

Quarter Past
15 minutes after the hour
Half Past
30 minutes after the hour
Quarter to
15 minutes before the next hour
Clock Facts: 12 numbers, 60 minutes per hour, 360° in a full circle.
Time Measurement: Second → Minute → Hour → Day.
Time Reading Tips:

• Start with the hour hand to identify the hour

• Count minutes by 5s from the 12 position

• Remember: the hour hand moves as minutes pass

Additional Practice Problems
✏️
Practice Time Problems
Problem 1
What time is shown on a clock when the hour hand is between 7 and 8, and the minute hand points to 4?
Problem 2
Draw the hands on a clock to show 10:20.
Problem 3
If lunch starts at 12:15 PM and ends at 1:00 PM, how long is lunch?
Practice Tip 1: Use a real clock or watch to practice reading time.
Practice Tip 2: Set different times on an analog clock to reinforce learning.
Practice Tip 3: Estimate time before checking to develop intuition.
Real-world connection: Time management skills help organize daily activities.
Advanced concept: Understanding time leads to learning about schedules and calendars.
Practice Strategies:

• Compare analog and digital times regularly

• Solve elapsed time problems daily

• Use time vocabulary in conversation

Questions & Answers

Question: My students often confuse the hour and minute hands. How can I help them remember which is which when telling time to the nearest minute?

Answer: Here are effective strategies to help students distinguish between hour and minute hands:

  • Memory trick: The "Hour" is "Humongous" - hour hand is shorter and thicker
  • Speed comparison: The minute hand moves much faster than the hour hand
  • Size comparison: Hour hand is typically shorter and thicker; minute hand is longer and thinner
  • Function reminder: Hour hand tells the hour, minute hand tells the minutes

You can also use physical demonstrations: move the minute hand quickly while showing how the hour hand moves slowly. Have students practice identifying hands before reading the time.

Question: When the time is 3:55, where do the hands point? I get confused about the hour hand position.

Answer: Great question! At 3:55:

  • The minute hand points to the 11 (55 minutes = 11 × 5)
  • The hour hand is very close to 4, but not quite there yet

Remember: the hour hand moves gradually as minutes pass. At 3:00, it points exactly to 3. At 3:30, it's halfway between 3 and 4. At 3:55, it's almost at 4 but still slightly before it.

Think of it this way: by 4:00, the hour hand will reach 4. Since 3:55 is just 5 minutes before 4:00, the hour hand is very close to 4.

Question: How can I help my child practice elapsed time problems? They struggle with calculating time differences.

Answer: Here are effective strategies for teaching elapsed time:

  1. Use a number line: Draw a timeline from start to end time
  2. Chunk method: Count full hours first, then remaining minutes
  3. Real-life context: Use activities like TV shows, school periods, or meals
  4. Visual aids: Manipulate actual clock hands to show the passage of time

For example, for 2:15 to 3:40: Count from 2:15 to 3:15 (1 hour), then from 3:15 to 3:40 (25 minutes). Total: 1 hour 25 minutes.

Start with simple problems and gradually increase complexity as your child gains confidence.