Measuring pencils in centimeters using rulers on a worksheet.

Problem Analysis:

The task involves measuring the length of each pencil in centimeters using a ruler and then answering questions about the shortest pencil and two pencils of the same length.

Step-by-Step Solution:

#### 1. Measure Each Pencil:
We need to measure the length of each pencil by aligning it with the ruler and noting where the tip of the pencil aligns with the ruler's markings.

##### Pencil 1:
- The pencil starts at the 0 cm mark.
- The tip of the pencil aligns with the 15 cm mark.
- Length: 15 cm

##### Pencil 2:
- The pencil starts at the 0 cm mark.
- The tip of the pencil aligns with the 14 cm mark.
- Length: 14 cm

##### Pencil 3:
- The pencil starts at the 0 cm mark.
- The tip of the pencil aligns with the 10 cm mark.
- Length: 10 cm

##### Pencil 4:
- The pencil starts at the 0 cm mark.
- The tip of the pencil aligns with the 12 cm mark.
- Length: 12 cm

##### Pencil 5:
- The pencil starts at the 0 cm mark.
- The tip of the pencil aligns with the 10 cm mark.
- Length: 10 cm

#### 2. Record the Lengths:
- Pencil 1: 15 cm
- Pencil 2: 14 cm
- Pencil 3: 10 cm
- Pencil 4: 12 cm
- Pencil 5: 10 cm

#### 3. Identify the Shortest Pencil:
- Compare the lengths: 15 cm, 14 cm, 10 cm, 12 cm, 10 cm.
- The shortest length is 10 cm.
- Shortest pencil: 10 cm

#### 4. Identify Two Pencils of the Same Length:
- From the measurements, Pencil 3 and Pencil 5 both have a length of 10 cm.
- Two pencils of the same length: 10 cm

Final Answers:

1. Length of each pencil:
- Pencil 1: 15 cm
- Pencil 2: 14 cm
- Pencil 3: 10 cm
- Pencil 4: 12 cm
- Pencil 5: 10 cm

2. The shortest pencil is:
\boxed{10}

3. There are two pencils that are:
\boxed{10}