Let's solve the
"Match" task from the worksheet on
Divisibility Rules.
---
🔹 Task:
Match each
divisibility rule (on the left) with its correct description (on the right).
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🔹 Left Side (Rules to Match):
1. Divisibility rule of
2
2. Divisibility rule of
4
3. Divisibility rule of
9
4. Divisibility rule of
5
5. Divisibility rule of
10
---
🔹 Right Side (Descriptions):
- The ones digit is 0 or 5.
- The final sum of its digits is 3, 6, or 9.
- The last two digits form a multiple of 4.
- The ones digit is even.
- The final sum of its digits is 9.
- The ones digit is 0.
> ⚠️ Note: There are
6 descriptions, but only
5 rules. So one description will be extra.
---
🔹 Step-by-step Matching:
####
✔ Divisibility Rule of
2:
> A number is divisible by 2 if its
ones digit is even (0, 2, 4, 6, 8).
➡️ Match:
The ones digit is even.
####
✔ Divisibility Rule of
4:
> A number is divisible by 4 if the
last two digits form a number that is divisible by 4.
➡️ Match:
The last two digits form a multiple of 4.
####
✔ Divisibility Rule of
9:
> A number is divisible by 9 if the
sum of its digits is divisible by 9.
So, if the sum is 9, 18, 27, etc., it’s divisible by 9.
But here, the option says:
"The final sum of its digits is 9."
This is a bit simplified — it should be "a multiple of 9", but since 9 is the smallest such sum, and it's listed, we'll match it.
➡️ Match:
The final sum of its digits is 9.
> ❗ Note: The other option says "The final sum of its digits is 3, 6, or 9" — this is for
divisibility by 3, not 9.
####
✔ Divisibility Rule of
5:
> A number is divisible by 5 if the
ones digit is 0 or 5.
➡️ Match:
The ones digit is 0 or 5.
####
✔ Divisibility Rule of
10:
> A number is divisible by 10 if the
ones digit is 0.
➡️ Match:
The ones digit is 0.
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🔹 Now let’s list the matches:
| Rule | Match |
|------|-------|
| Divisibility rule of 2 | The ones digit is even. |
| Divisibility rule of 4 | The last two digits form a multiple of 4. |
| Divisibility rule of 9 | The final sum of its digits is 9. |
| Divisibility rule of 5 | The ones digit is 0 or 5. |
| Divisibility rule of 10 | The ones digit is 0. |
---
🔹 Extra Description:
-
"The final sum of its digits is 3, 6, or 9." → This is actually part of the
divisibility rule of 3, but it's
not listed on the left side. So this one is
extra and not used.
---
✔ Final Answer (Matching):
1. Divisibility rule of
2 →
The ones digit is even.
2. Divisibility rule of
4 →
The last two digits form a multiple of 4.
3. Divisibility rule of
9 →
The final sum of its digits is 9.
4. Divisibility rule of
5 →
The ones digit is 0 or 5.
5. Divisibility rule of
10 →
The ones digit is 0.
✔ One description ("The final sum of its digits is 3, 6, or 9") is
not used — it belongs to divisibility by 3.
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of rules of divisibility worksheet.
