Let's solve the
Fact Families worksheet step by step. The goal is to use
multiplication and division to fill in the missing numbers in each triangle. Each triangle represents a fact family: two numbers are multiplied to get the top number (product), and the product can be divided by one of the factors to get the other.
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🔁 Understanding the Format
Each triangle has:
- A
top circle (the product)
- Two
bottom circles (the factors)
The relationships are:
- Top = Bottom1 × Bottom2
- Bottom1 = Top ÷ Bottom2
- Bottom2 = Top ÷ Bottom1
We’ll go through each problem.
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✔ Example Given:
Top: 12
Bottom left: 6
Bottom right: 2
Check: 6 × 2 = 12 → Correct
Also: 12 ÷ 6 = 2, 12 ÷ 2 = 6 → Valid
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Now let’s solve each:
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a.
Top: 48
Bottom left: ?
Bottom right: 6
We know:
48 ÷ 6 = 8 → So missing number is
8
✔ Answer:
8
---
b.
Top: ?
Bottom left: 4
Bottom right: 3
4 × 3 = 12 → Missing top number is
12
✔ Answer:
12
---
c.
Top: ?
Bottom left: 7
Bottom right: 5
7 × 5 = 35 → Missing top number is
35
✔ Answer:
35
---
d.
Top: 27
Bottom left: 9
Bottom right: ?
27 ÷ 9 = 3 → Missing number is
3
✔ Answer:
3
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e.
Top: 24
Bottom left: ?
Bottom right: 6
24 ÷ 6 = 4 → Missing number is
4
✔ Answer:
4
---
f.
Top: 40
Bottom left: 8
Bottom right: ?
40 ÷ 8 = 5 → Missing number is
5
✔ Answer:
5
---
g.
Top: ?
Bottom left: 6
Bottom right: 6
6 × 6 = 36 → Missing top number is
36
✔ Answer:
36
---
h.
Top: 21
Bottom left: ?
Bottom right: 3
21 ÷ 3 = 7 → Missing number is
7
✔ Answer:
7
---
i.
Top: ?
Bottom left: 8
Bottom right: 8
8 × 8 = 64 → Missing top number is
64
✔ Answer:
64
---
j.
Top: 36
Bottom left: 4
Bottom right: ?
36 ÷ 4 = 9 → Missing number is
9
✔ Answer:
9
---
k.
Top: ?
Bottom left: 9
Bottom right: 7
9 × 7 = 63 → Missing top number is
63
✔ Answer:
63
---
l.
Top: 20
Bottom left: 4
Bottom right: ?
20 ÷ 4 = 5 → Missing number is
5
✔ Answer:
5
---
m.
Top: ?
Bottom left: 0
Bottom right: 6
Any number × 0 = 0 → So top number is
0
✔ Answer:
0
---
n.
Top: ?
Bottom left: 7
Bottom right: 8
7 × 8 = 56 → Missing top number is
56
✔ Answer:
56
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o.
Top: 32
Bottom left: ?
Bottom right: 4
32 ÷ 4 = 8 → Missing number is
8
✔ Answer:
8
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✔ Final Answers:
| Letter | Missing Number |
|--------|----------------|
| a | 8 |
| b | 12 |
| c | 35 |
| d | 3 |
| e | 4 |
| f | 5 |
| g | 36 |
| h | 7 |
| i | 64 |
| j | 9 |
| k | 63 |
| l | 5 |
| m | 0 |
| n | 56 |
| o | 8 |
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📝 Summary:
Use multiplication and division facts to find the missing numbers:
- If you have the product and one factor → divide.
- If you have both factors → multiply.
All problems follow basic multiplication/division facts from 0 to 10.
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of relating multiplication and division worksheet.
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