Math worksheet for counting tens and ones using grouped shapes.

Let’s solve each problem step by step. We’re counting shapes that are grouped in “tens” and “ones.” That means:

- A group of 10 shapes = 1 ten
- Any leftover shapes (less than 10) = ones

We’ll count the tens first, then the ones, add them to get the total, and fill in the table.

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Problem 1: Blue dots

Look at the groups:

- First row: 3 full groups of 10 → that’s 3 tens
- Second row: 1 full group of 10 + 5 extra → that’s 1 ten and 5 ones

Wait — let’s recount carefully.

Actually, looking again:

Row 1: Three groups of 10 dots each → 10 + 10 + 10 = 30
Row 2: One group of 10 dots + five single dots → 10 + 5 = 15
Total = 30 + 15 = 45

But wait — maybe it’s better to count all tens together and all ones together.

Let me reorganize:

All complete groups of 10:

- Row 1: 3 groups → 3 tens
- Row 2: 1 group → 1 ten
→ Total tens = 4

Leftover singles: only in row 2 → 5 ones

So: Tens = 4, Ones = 5 → Total = 45 ✔

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Problem 2: Purple diamonds

Groups:

- Row 1: 3 groups of 10 → 3 tens
- Row 2: 2 groups of 10 + 6 singles → 2 tens and 6 ones

Tens total: 3 + 2 = 5
Ones: 6
Total = 50 + 6 = 56

Check: 5 tens = 50, plus 6 = 56 ✔

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Problem 3: Pink hearts

Row 1: 3 groups of 10 → 3 tens
Row 2: 3 groups of 10 + 7 singles → 3 tens and 7 ones

Tens total: 3 + 3 = 6
Ones: 7
Total = 60 + 7 = 67 ✔

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Problem 4: Orange triangles

Row 1: 1 group of 10 + 8 singles? Wait — let’s look closely.

Actually:

Row 1: One group of 10 triangles? No — looking again:

It says: “△ △ △ △ △ △ △ △ △ △” — that’s 10? But written as two parts?

Wait — better to count visually:

First line: 10 triangles? Actually, no — let's count:

Line 1: △ △ △ △ △ △ △ △ △ △ → that’s 10? But in the image description, it might be split.

Actually, from standard interpretation of such worksheets:

Usually, they show bundles of 10 clearly.

Looking again:

Problem 4:

Top row: one bundle of 10? Or is it 9? Let me think differently.

Perhaps:

Row 1: 10 triangles? But written as "△ △ △ △ △ △ △ △ △ △" — if that’s 10, then next part is separate.

Wait — actually, in many such problems, they draw a box or space around 10 to make a “bundle”.

Since we don’t have visual, but based on typical layout:

Assume:

Row 1: 1 bundle of 10 + 8 loose? No — let’s read the text representation.

User wrote:

“4) △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △”

That’s 10 in first part, then 8 more? So total 18? But that doesn’t match “bundles of tens and ones”.

Wait — perhaps it’s:

First group: 10 triangles (a ten)

Then second group: 8 triangles (not a full ten) → so 8 ones

But then third line: “△ △ △ △ △ △ △ △ △ △” — another 10? And fourth line: “△ △ △ △ △ △ △” — 7?

This is confusing without image.

Alternative approach: Since this is a common worksheet type, and user provided text description, let’s assume the grouping is clear.

From standard similar problems:

Often for #4:

- First row: 1 ten (10 triangles)
- Second row: 8 ones? But that would be unusual.

Wait — let’s count total triangles described:

User wrote:

“4) △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △
△ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △ △”

So:

Line 1: 10 + 8 = 18
Line 2: 10 + 7 = 17
Total = 18 + 17 = 35

But how to break into tens and ones?

Better: Count all tens first.

How many full groups of 10?

In line 1: first 10 → 1 ten
Then 8 left → not a ten

Line 2: first 10 → 1 ten
Then 7 left → not a ten

So total tens: 2
Total ones: 8 + 7 = 15 → but 15 ones is 1 ten and 5 ones! Oh!

Ah — important: when you have more than 9 ones, you regroup!

So:

Total shapes: 35

Breakdown:

Tens: 3 (because 35 ÷ 10 = 3 remainder 5)
Ones: 5

But let’s verify with grouping:

If we have:

- Two explicit tens from the lines (first 10 of line 1, first 10 of line 2) → 2 tens
- Leftovers: 8 + 7 = 15 → which is 1 ten and 5 ones
- So total tens: 2 + 1 = 3
- Total ones: 5

Yes! So Tens = 3, Ones = 5, Total = 35

✔ Correct.

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Problem 5: Purple squares

Description:

“5) □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □
□ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □ □
□ □ □ □ □ □ □ □”

So:

Row 1: 10 + 10 = 20
Row 2: 10 + 10 = 20
Row 3: 8

Total = 20 + 20 + 8 = 48

Now, tens and ones:

Full tens: 4 (from first four groups of 10)
Ones: 8

No regrouping needed since 8 < 10.

So Tens = 4, Ones = 8, Total = 48 ✔

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Now, let’s summarize each:

1)
Tens: 4
Ones: 5
Total: 45

2)
Tens: 5
Ones: 6
Total: 56

3)
Tens: 6
Ones: 7
Total: 67

4)
Tens: 3
Ones: 5
Total: 35

5)
Tens: 4
Ones: 8
Total: 48

Final Answer:

1) Tens: 4, Ones: 5, Total: 45
2) Tens: 5, Ones: 6, Total: 56
3) Tens: 6, Ones: 7, Total: 67
4) Tens: 3, Ones: 5, Total: 35
5) Tens: 4, Ones: 8, Total: 48