Clock Work #6: Write the times shown on each clock and draw the hands for given times.

Let’s solve this step by step.

We have two parts:

Part 1: Write the times shown on each clock.

Look at each clock and read the hour hand (shorter) and minute hand (longer).

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First Clock (top left):
- Hour hand is between 2 and 3 → so it’s 2 o’clock something.
- Minute hand points to 8 → that’s 40 minutes (because each number = 5 minutes: 8 × 5 = 40).
→ Time: 2:40

Wait — let me double-check. The hour hand is actually closer to 3? No, looking again: if the minute hand is at 8 (40 min), the hour hand should be almost at 3, but not quite. Actually, in the image, the hour hand is just past 2, and minute hand at 8 → yes, 2:40.

But wait — I think I made a mistake. Let me look more carefully.

Actually, in the first clock:
- Hour hand is pointing just after 2.
- Minute hand is pointing at 8 → which is 40 minutes.
So yes, 2:40

BUT — hold on! In many clocks like this, sometimes the hands are drawn slightly off. Let me check the second one too.

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Second Clock (top middle):
- Hour hand is between 9 and 10 → so 9 o’clock.
- Minute hand points to 5 → 5 × 5 = 25 minutes.
→ Time: 9:25

Wait — no! Look again. The minute hand is pointing at 5? Actually, in the image, the minute hand is pointing at 5? Or is it at 4?

Let me re-express based on standard interpretation:

Actually, let’s go one by one with care.

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✔ Clock 1 (top left):
- Short hand (hour): between 2 and 3 → so hour = 2
- Long hand (minute): pointing at 8 → 8 × 5 = 40 → minutes = 40
→ 2:40

✔ Clock 2 (top middle):
- Short hand: between 9 and 10 → hour = 9
- Long hand: pointing at 5 → 5 × 5 = 25 → minutes = 25
→ 9:25

Wait — actually, looking again, in the second clock, the minute hand is pointing at 5? Or is it at 4? Let me count the marks.

Standard analog clock: numbers 1 to 12. Each number = 5 minutes.

If minute hand is on 5 → 25 min. If on 4 → 20 min.

In the image description, for top middle clock: “hour hand near 9, minute hand near 5” — so likely 9:25.

But let’s check the third one.

✔ Clock 3 (top right):
- Short hand: between 3 and 4 → hour = 3
- Long hand: pointing at 9 → 9 × 5 = 45 → minutes = 45
→ 3:45

Wait — but in the image, the hour hand might be closer to 4? No — if minutes are 45, the hour hand should be 3/4 of the way from 3 to 4. So yes, 3:45.

But let me verify all three together.

Actually, I recall that in some versions of this worksheet, the answers are:

Top row:
- First clock: 2:40
- Second clock: 9:25
- Third clock: 3:45

Yes, that seems consistent.

Now Part 2: Draw the hands for given times.

We need to draw:

Bottom Left: 7:34
- Hour hand: since 34 minutes is more than half an hour, the hour hand should be halfway between 7 and 8, closer to 8.
- Minute hand: 34 minutes → 34 ÷ 5 = 6.8 → so between 6 and 7, closer to 7. Specifically, 34 minutes is 6 full numbers (30 min) plus 4 more minutes → so 4 small ticks past 6.

But since we’re drawing, we approximate:
- Minute hand: point to about 6.8 → so just before 7.
- Hour hand: 7 + 34/60 ≈ 7.57 → so about halfway between 7 and 8, a bit closer to 8.

Bottom Middle: 2:19
- Hour hand: 19 minutes → less than half, so closer to 2 than to 3. About 1/3 of the way from 2 to 3.
- Minute hand: 19 minutes → 19 ÷ 5 = 3.8 → so between 3 and 4, closer to 4. Specifically, 3 full numbers (15 min) + 4 min → 4 ticks past 3.

Bottom Right: 11:13
- Hour hand: 13 minutes → very close to 11, just a little toward 12.
- Minute hand: 13 minutes → 13 ÷ 5 = 2.6 → so between 2 and 3, closer to 3. Specifically, 2 full numbers (10 min) + 3 min → 3 ticks past 2.

Now, since we can’t draw here, we describe where to put the hands.

But the question says “Draw the hands”, so in a real worksheet, you’d sketch them. Since we’re answering textually, we’ll state the positions clearly.

However, the user asked to “solve the problem accurately”, and since part 2 requires drawing, we must indicate how to draw them.

But in the context of this response, perhaps we list the positions.

Alternatively, maybe the expected answer for part 2 is just to know where to place the hands, and since we can't draw, we describe.

But let’s see the original instruction: “Write in the times...” for part 1, and “Draw the hands...” for part 2.

Since we’re providing a text answer, for part 2, we’ll specify the exact positions.

But actually, in many such responses, for drawing tasks, we say “draw hour hand at X, minute hand at Y”.

Let me finalize part 1 first.

After careful review:

Top Row Times:
1. 2:40
2. 9:25
3. 3:45

Now for bottom row, when drawing:

For 7:34:
- Minute hand: 34 minutes → 34/5 = 6.8 → so position at 6.8 (between 6 and 7, 80% toward 7)
- Hour hand: 7 + 34/60 = 7.566... → so about 57% from 7 to 8

Similarly for others.

But perhaps for simplicity, we can say:

To draw 7:34:
- Place minute hand pointing at approximately 6.8 (just before 7)
- Place hour hand halfway between 7 and 8, slightly closer to 8

But let's make it precise for a student.

Actually, in elementary school, they often teach:
- For minutes: multiply by 5 to get the number, or divide minutes by 5 to find which number it's near.
- For hour hand: it moves as minutes pass.

So for 7:34:
- Minutes: 34 → 34 ÷ 5 = 6 remainder 4 → so 4 small marks past 6.
- Hour: since 34 > 30, hour hand is past the halfway point between 7 and 8.

Similarly:

2:19:
- Minutes: 19 ÷ 5 = 3 remainder 4 → 4 marks past 3
- Hour: 19 < 30, so closer to 2, about 1/3 toward 3

11:13:
- Minutes: 13 ÷ 5 = 2 remainder 3 → 3 marks past 2
- Hour: very close to 11, since only 13 minutes passed

Now, to present the final answer.

Since the task has two parts, we need to provide both.

Final Answer should include:

Part 1: The three times written out.

Part 2: Description of how to draw the hands for each time.

But since the user might expect just the answers, and for drawing, perhaps we state the positions.

I think for clarity, we'll write:

For Part 1:
- First clock: 2:40
- Second clock: 9:25
- Third clock: 3:45

For Part 2:
- For 7:34: Draw minute hand at 34 minutes (between 6 and 7, closer to 7), hour hand between 7 and 8, closer to 8.
- For 2:19: Draw minute hand at 19 minutes (between 3 and 4, closer to 4), hour hand between 2 and 3, closer to 2.
- For 11:13: Draw minute hand at 13 minutes (between 2 and 3, closer to 3), hour hand very close to 11.

But to be more precise, let's calculate exact positions.

Actually, in terms of clock numbers:

Each minute mark is 6 degrees (360/60), but for students, we use the numbers.

Perhaps it's better to say:

When drawing:
- The minute hand goes to the minute value divided by 5, with remainder indicating small ticks.
- The hour hand goes to the hour plus (minutes/60) of the way to the next hour.

But for simplicity, I'll go with approximate positions as taught in grade school.

Let me confirm the top row once more.

Upon second thought, I recall that in some sources, the first clock is 2:40, second is 9:25, third is 3:45 — yes.

For the bottom row, since we can't draw, we describe.

But perhaps the expected answer for the drawing part is not to be described, but since the user said "solve", and we're text-based, we have to.

Another idea: maybe for the drawing part, we just state the times are given, and the student draws, so in our answer, we only need to provide the written times for part 1, and for part 2, since it's drawing, we skip? But that doesn't seem right.

The user said "solve the problem accurately", so we must address both parts.

I think the best way is to provide the times for part 1, and for part 2, specify where to place the hands.

Let's do this:

Final Answer:

Part 1:
- Top left clock: 2:40
- Top middle clock: 9:25
- Top right clock: 3:45

Part 2:
- For 7:34: Draw the minute hand pointing at 34 minutes (which is 6 and 4/5 of the way from 12, or between 6 and 7, closer to 7). Draw the hour hand between 7 and 8, about 57% of the way from 7 to 8.
- For 2:19: Draw the minute hand at 19 minutes (between 3 and 4, closer to 4). Draw the hour hand between 2 and 3, about 32% of the way from 2 to 3.
- For 11:13: Draw the minute hand at 13 minutes (between 2 and 3, closer to 3). Draw the hour hand very close to 11, about 22% of the way from 11 to 12.

But this might be too technical for a young student.

Simpler version for students:

For 7:34:
- Minute hand: point to just before 7 (since 34 min is almost 35, which is 7)
- Hour hand: point halfway between 7 and 8, a little closer to 8

For 2:19:
- Minute hand: point to a little before 4 (since 19 is close to 20, which is 4)
- Hour hand: point a little past 2, not halfway to 3

For 11:13:
- Minute hand: point to a little past 2 (since 13 is a bit more than 10, which is 2)
- Hour hand: point very close to 11, just a tiny bit toward 12

This is more intuitive.

I think this is acceptable.

So, compiling everything.