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Grade 3 Maths Worksheets: Division (6.1 Division by Repeated ... - Free Printable

Grade 3 Maths Worksheets: Division (6.1 Division by Repeated ...

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Show Answer Key & Explanations Step-by-step solution for: Grade 3 Maths Worksheets: Division (6.1 Division by Repeated ...
Let's solve each problem on Worksheet #9 step by step using repeated subtraction to find the number of equal groups, and then write the corresponding division equation.

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Problem 1:


> Subtract groups of 3 from these 9 balls.
> How many groups of 3 can you make out of these?

We start with 9 balls and subtract groups of 3 repeatedly:

- 9 – 3 = 6 → 1 group
- 6 – 3 = 3 → 2 groups
- 3 – 3 = 0 → 3 groups

We made 3 groups.

Division equation:
9 ÷ 3 = 3

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Problem 2:


> Simon has to make groups of 6 from these 30 stars.
> How many groups of 4 stars can he make?

Wait — this says "groups of 6" in the first sentence but asks about "groups of 4". Let’s double-check the wording:

> "Simon has to make groups of 6 from these 30 stars. How many groups of 4 stars he can make out of these?"

This seems inconsistent. But since it shows 30 stars, and asks how many groups of 4, we'll assume the question is asking:

> How many groups of 4 can be made from 30 stars?

So we use repeated subtraction of 4 from 30:

- 30 – 4 = 26 → 1 group
- 26 – 4 = 22 → 2
- 22 – 4 = 18 → 3
- 18 – 4 = 14 → 4
- 14 – 4 = 10 → 5
- 10 – 4 = 6 → 6
- 6 – 4 = 2 → 7
- 2 < 4 → stop

We made 7 groups of 4, with 2 stars left over.

But since the worksheet is likely expecting a whole number answer (and the division should be exact), let’s check if there was a typo.

Wait — perhaps it meant: "How many groups of 6 can he make?" That would make more sense given the first sentence.

Let’s re-read:
> "Simon has to make groups of 6 from these 30 stars. How many groups of 4 stars he can make..."

It's contradictory. But the image shows 30 stars, and the question says "groups of 4".

Given that, we’ll go with groups of 4 from 30.

So:
- Repeated subtraction of 4 from 30 gives us 7 full groups, remainder 2.

But division equations usually express exact division unless stated otherwise.

However, the worksheet seems to expect a clean answer like in Problem 1.

Alternatively, maybe it's a typo and should be groups of 6.

Let’s try both:

#### Option A: Groups of 6?
- 30 – 6 = 24 → 1
- 24 – 6 = 18 → 2
- 18 – 6 = 12 → 3
- 12 – 6 = 6 → 4
- 6 – 6 = 0 → 5

5 groups of 6 → 30 ÷ 6 = 5

This makes sense.

But the question says "groups of 4".

Looking at the image again:
> "How many groups of 4 stars he can make out of these?"

And there are 30 stars.

So despite the inconsistency in the first sentence, the question is asking for groups of 4.

So:

Repeated subtraction of 4 from 30:

- 30 – 4 = 26 → 1
- 26 – 4 = 22 → 2
- 22 – 4 = 18 → 3
- 18 – 4 = 14 → 4
- 14 – 4 = 10 → 5
- 10 – 4 = 6 → 6
- 6 – 4 = 2 → 7
- 2 < 4 → stop

So, 7 groups of 4, remainder 2.

But the blank says “Division equation: ______”

If we’re doing exact division, we can’t divide 30 by 4 evenly.

But the worksheet may expect the quotient only, or the number of full groups.

So, 7 full groups of 4.

But the division equation would be:

30 ÷ 4 = 7 R2 (remainder)

But since the other problems are exact divisions, maybe this is a typo.

Alternatively, maybe it's supposed to be groups of 6?

Let’s look at the next problem.

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Problem 3:


> Subtract groups of 4 from these 24 diamonds.
> How many groups of 4 can you make?

We have 24 diamonds.

Repeated subtraction of 4:

- 24 – 4 = 20 → 1
- 20 – 4 = 16 → 2
- 16 – 4 = 12 → 3
- 12 – 4 = 8 → 4
- 8 – 4 = 4 → 5
- 4 – 4 = 0 → 6

So, 6 groups of 4.

Division equation: 24 ÷ 4 = 6

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Problem 4:


> Share 15 squares among three boxes.
> How many squares will each box carry?

We need to divide 15 squares into 3 equal boxes.

Use repeated subtraction: subtract 3 groups of 5? Or subtract 3 each time?

Better: subtract 3 boxes’ worth, but actually, we want to see how many per box.

We can do:

- Start with 15.
- Give 1 to each box → 3 given, 12 left
- Again → 3 more, 9 left
- Again → 3 more, 6 left
- Again → 3 more, 3 left
- Again → 3 more, 0 left

That’s 5 times we gave 3 squares.

So each box gets 5 squares.

Or: 15 ÷ 3 = 5

Each box will carry 5 squares.

Division equation: 15 ÷ 3 = 5

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Now, going back to Problem 2, let’s re-evaluate.

There are 30 stars, and the question says:

> "How many groups of 4 stars he can make out of these?"

But 30 ÷ 4 = 7.5 → not a whole number.

But if we do repeated subtraction:

- 30 – 4 = 26 → 1
- 26 – 4 = 22 → 2
- 22 – 4 = 18 → 3
- 18 – 4 = 14 → 4
- 14 – 4 = 10 → 5
- 10 – 4 = 6 → 6
- 6 – 4 = 2 → 7
- 2 < 4 → stop

So 7 full groups of 4, with 2 left over.

But the worksheet might expect the number of groups, even with remainder.

But since all other problems are exact, and the image shows 30 stars, perhaps it's meant to be groups of 5 or groups of 6?

Wait — the first sentence says: "Simon has to make groups of 6 from these 30 stars."

Then it asks: "How many groups of 4 stars he can make..."

That’s inconsistent.

But maybe it's a typo, and it should say "groups of 6".

Let’s assume it’s a typo and the question is: How many groups of 6 can he make?

Then:

- 30 – 6 = 24 → 1
- 24 – 6 = 18 → 2
- 18 – 6 = 12 → 3
- 12 – 6 = 6 → 4
- 6 – 6 = 0 → 5

5 groups.

Division equation: 30 ÷ 6 = 5

This fits perfectly.

Alternatively, if it really is groups of 4, then the answer is 7 groups with remainder.

But since the worksheet is for equal groups, and the others are exact, I believe it's a typo.

So I’ll go with groups of 6.

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Final Answers:



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1.
Subtract groups of 3 from 9 balls:
→ 3 groups
Division equation: 9 ÷ 3 = 3

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2.
Simon has 30 stars. Make groups of 6 (assuming typo).
→ 5 groups
Division equation: 30 ÷ 6 = 5

*(Note: If truly groups of 4, then 7 groups with remainder, but likely intended as groups of 6.)*

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3.
Subtract groups of 4 from 24 diamonds:
→ 6 groups
Division equation: 24 ÷ 4 = 6

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4.
Share 15 squares among 3 boxes:
→ Each box carries 5 squares
Division equation: 15 ÷ 3 = 5

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Completed Worksheet:



1. Division equation: 9 ÷ 3 = 3
2. Division equation: 30 ÷ 6 = 5 *(assuming typo; groups of 6)*
3. Division equation: 24 ÷ 4 = 6
4. Each box will carry 5 squares.
Division equation: 15 ÷ 3 = 5

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Let me know if you'd like a version with corrected wording or visual explanation!
Parent Tip: Review the logic above to help your child master the concept of repeated subtraction worksheet 3rd grade.
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