PrimaryLeap worksheet on reading stem-and-leaf plots, including data on pet ages and books read by Year 5 students.

Let’s solve each question step by step.

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First stem-and-leaf plot: Ages of pets (in months)

Stem | Leaf
0 | 2 5 6 8 → means 2, 5, 6, 8 months
1 | 1 3 4 6 7 → means 11, 13, 14, 16, 17 months
2 | 0 1 3 5 9 → means 20, 21, 23, 25, 29 months

So all pet ages in months:
2, 5, 6, 8, 11, 13, 14, 16, 17, 20, 21, 23, 25, 29

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Question 1: What is the highest age of a pet in months based on the plot?

Look at the last row: stem “2” and leaf “9” → 29 months.
✔ Highest = 29

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Question 2: How many pets are 15 months or younger?

List all ages ≤ 15:
From stem 0: 2, 5, 6, 8 → 4 pets
From stem 1: 11, 13, 14 → 3 pets (16 and 17 are over 15)
Total = 4 + 3 = 7

Wait — let me double-check:
Ages: 2,5,6,8,11,13,14 → that’s 7. Yes.
✔ Answer = 7

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Question 3: How many pets are between 20 and 29 months old?

That’s stem “2”: leaves 0,1,3,5,9 → 20,21,23,25,29 → 5 pets
✔ Answer = 5

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Question 4: Calculate the range of the ages of pets.

Range = highest – lowest
Highest = 29, Lowest = 2
29 – 2 = 27

✔ Answer = 27

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Second stem-and-leaf plot: Number of books read by Year 5 students

Stem | Leaf
3 | 1 2 3 5 7 → 31, 32, 33, 35, 37
4 | 0 1 3 6 7 8 9 → 40, 41, 43, 46, 47, 48, 49
5 | 2 3 5 6 7 9 → 52, 53, 55, 56, 57, 59
6 | 2 2 2 3 4 5 7 8 → 62, 62, 62, 63, 64, 65, 67, 68

Total students: count all leaves
Row 3: 5
Row 4: 7
Row 5: 6
Row 6: 8
Total = 5+7+6+8 = 26 students

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Question 5: What is the highest number of books read by a Year 5 student?

Last row, last leaf: stem 6, leaf 8 → 68

✔ Answer = 68

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Question 6: How many students are there in year 5 based on the plot?

We just counted: 5 + 7 + 6 + 8 = 26

✔ Answer = 26

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Question 7: How many students read 35 books or fewer?

Look for numbers ≤ 35.

Stem 3: 31, 32, 33, 35 → that’s 4 (note: 37 is over 35)
Stem 4 and above: all start at 40 → too big.

So only 4 students.

Wait — check again:
Stem 3 leaves: 1,2,3,5,7 → values: 31,32,33,35,37
≤35: 31,32,33,35 → yes, 4 students.

✔ Answer = 4

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Question 8: How many students read between 50 and 60 books?

“Between 50 and 60” usually means 50 to 59 inclusive.

Stem 5: 52,53,55,56,57,59 → all between 50–59 → 6 students
Stem 6 starts at 62 → too high.

So only stem 5 → 6

✔ Answer = 6

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Question 9: What is the mode (most common number of books read)?

Mode = most frequent value.

Look at the data:

In stem 6: we have three 62s → 62 appears 3 times.

Check others:

Stem 3: all unique
Stem 4: all unique
Stem 5: all unique
Stem 6: 62,62,62 → then 63,64,etc. → so 62 appears 3 times, no other number repeats more than once.

✔ Mode = 62

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Question 10: Calculate the range of the number of books.

Range = highest – lowest
Highest = 68 (from stem 6, leaf 8)
Lowest = 31 (stem 3, leaf 1)
68 – 31 = 37

✔ Answer = 37

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Final Answer:
1. 29
2. 7
3. 5
4. 27
5. 68
6. 26
7. 4
8. 6
9. 62
10. 37