Broken Ruler 1 online exercise for - Free Printable

Let's solve each of the 8 problems by measuring the length of the colored bars using the rulers shown. Each ruler is marked in inches, with smaller tick marks representing fractions of an inch (typically 1/16 inch increments).

We'll determine the starting and ending points of each bar and calculate the length.

---

1) Pink Bar

- Starts at 6 inches
- Ends at 8 inches
- Length = 8 - 6 = 2 inches

✔ Answer: 2 in

---

2) Dark Green Bar

- Starts at 2 inches
- Ends at 7 inches
- Length = 7 - 2 = 5 inches

✔ Answer: 5 in

---

3) Orange Bar

- Starts at 11 inches
- Ends at 15 inches
- Length = 15 - 11 = 4 inches

✔ Answer: 4 in

---

4) Blue Bar

- Starts at 10 inches
- Ends at 11 inches
- But note: it starts at 10 and ends just before 11, but let’s check the exact position.
- The bar begins at 10 and ends at 10 + 1/2 = 10.5 inches?
- Wait — looking closely:
- It starts at 10 and ends at 10.5? Actually, it appears to end just past 10.5, but wait — the bar goes from 10 to 11, but not quite to 11.
- Looking at the ticks: Between 10 and 11, there are 16 small divisions → each is 1/16 inch.
- The bar ends at 10 + 8/16 = 10.5 inches?
- No — actually, the bar starts at 10 and ends at 10.5? Let's count:

Wait — the bar starts exactly at 10, and ends at 10 + 8 small ticks?

But the bar ends at the 8th mark after 10, which is 10 + 8/16 = 10.5 inches.

So length = 10.5 - 10 = 0.5 inches

But wait — the bar goes from 10 to 11, but only halfway?

Actually, the blue bar starts at 10 and ends at 10.5? No — look carefully.

Wait — no! The bar starts at 10 and ends at 11, but it doesn't go all the way to 11.

Let’s count:

From 10 to 11: 16 divisions.

The bar ends at the 8th tick after 10, so that's 10 + 8/16 = 10.5 inches.

So length = 0.5 inches

But wait — actually, the bar starts at 10 and ends at 10.5, so length = 0.5 inches

But is it really ending at 10.5?

Yes — the bar ends exactly at the midpoint between 10 and 11, which is 10.5 inches.

✔ Answer: 0.5 in

---

5) Red Bar

- Starts at 6 inches
- Ends at 9 inches
- Length = 9 - 6 = 3 inches

✔ Answer: 3 in

---

6) Light Green Bar

- Starts at 11 inches
- Ends at 13 inches
- Length = 13 - 11 = 2 inches

✔ Answer: 2 in

---

7) Purple Bar

- Starts at 7 inches
- Ends at 11 inches
- Length = 11 - 7 = 4 inches

✔ Answer: 4 in

---

8) Orange Bar

- Starts at 14 inches
- Ends at 19 inches
- Length = 19 - 14 = 5 inches

✔ Answer: 5 in

---

✔ Final Answers:

1) 2 in
2) 5 in
3) 4 in
4) 0.5 in
5) 3 in
6) 2 in
7) 4 in
8) 5 in

---

📌 Summary Table:

| # | Color | Start | End | Length |
|---|-----------|-------|------|--------|
| 1 | Pink | 6 | 8 | 2 in |
| 2 | Dark Green| 2 | 7 | 5 in |
| 3 | Orange | 11 | 15 | 4 in |
| 4 | Blue | 10 | 10.5 | 0.5 in |
| 5 | Red | 6 | 9 | 3 in |
| 6 | Light Green| 11 | 13 | 2 in |
| 7 | Purple | 7 | 11 | 4 in |
| 8 | Orange | 14 | 19 | 5 in |

✔ All lengths are measured from the left edge of the bar to the right edge, using the ruler markings.

Let me know if you want a visual explanation or how to read fractional inches!