Chess Pieces Math Worksheet - Solve equations using the values of chess pieces.

Let's solve the Chess Pieces Math problem step by step using the given values:

Piece Values:

- King = worth the whole game (we'll treat this as a special case, but not used in calculations)
- Queen = 9
- Rook = 5
- Bishop = 3
- Knight = 3
- Pawn = 1

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Problem 1: What is the value of the black Bishop?

We are asked to find the value of the black bishop, which is already given as 3.

But let’s check if there’s an equation involved.

Looking at the first row:
> 🟤 Bishop = ?

Then we see:
- Three pawns → 3 × 1 = 3
- Three knights → 3 × 3 = 9
- Three kings → "worth the whole game" — not numerical

Wait — actually, the image shows:
- First box: three pawns → total = 3 × 1 = 3
- Second box: three knights → 3 × 3 = 9
- Third box: three kings → undefined (but not needed)

But the question mark is next to a bishop. So likely, the puzzle is asking us to find the value of the bishop based on the equations.

Wait — actually, looking again:

The first yellow box has a black bishop with a question mark. Then below it, there are three groups:
1. Three pawns → value = 3 × 1 = 3
2. Three knights → 3 × 3 = 9
3. Three kings → value = "whole game", so probably not numeric

But maybe the equation is implied?

Wait — no, the layout seems like each row is a separate equation.

Let’s look carefully at the structure.

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Row 1:

🟤 Bishop = ?
Below it:
- Group 1: 3 pawns → 3 × 1 = 3
- Group 2: 3 knights → 3 × 3 = 9
- Group 3: 3 kings → can’t assign number (game-winning), so perhaps ignore

But the bishop is shown alone with a question mark. But then the boxes below have three groups. Maybe the idea is that each group equals the value of the piece shown on the left?

Wait — actually, the left side of each row has an equation, and the right side has three groups, each with a blank box.

Let me re-express:

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Row 1:

🟤 Bishop = ?

Then three groups:
1. 3 pawns → 3 × 1 = 3 → so this group is worth 3
2. 3 knights → 3 × 3 = 9 → worth 9
3. 3 kings → unknown (but king is "worth the whole game")

But the bishop is worth 3, so maybe the first group (3 pawns) = 3 → matches bishop's value.

So perhaps the question is: which group equals the value of the bishop?

But the bishop is already known to be 3.

Wait — perhaps the task is to compute the total value of each group and write it in the box.

Let’s interpret it this way:

Each row has:
- A left-side equation (e.g., bishop = ?)
- Then three groups of pieces, and we need to compute the value of each group and write it in the box.

But actually, the yellow box on the left has a piece and a question mark, meaning: what is the value of this piece?

But we already know from the table: Bishop = 3

So why ask?

Wait — maybe the first row is just asking: “What is the value of the bishop?” → answer: 3

But the other rows are equations.

Let’s go row by row.

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## ✔ Row 1: Black Bishop = ?

From the table: Bishop = 3

So answer: 3

Now, below it are three groups:
1. 3 pawns → 3 × 1 = 3
2. 3 knights → 3 × 3 = 9
3. 3 kings → each king is "worth the whole game" — cannot assign a number

So only the first group (3 pawns) equals 3, same as bishop.

But the instruction says: “Use the value of pieces to solve the equations below.”

So perhaps the three groups are examples, and we need to write their total values in the boxes.

Let’s assume that.

So:

Row 1:

- Group 1: 3 pawns = 3 × 1 = 3
- Group 2: 3 knights = 3 × 3 = 9
- Group 3: 3 kings = ??? → since king is "worth the whole game", we can't assign a number → perhaps skip or say "infinite"?

But that doesn’t make sense for a math problem.

Wait — maybe the kings are not part of the calculation? Or maybe the question is only about the bishop?

Alternatively, perhaps the yellow box is the answer, and the groups are clues?

Wait — let’s look at the second row.

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## ✔ Row 2:
🟦 Rook = Pawn + Pawn + ?

Left side: Rook = 5
Right side: Pawn + Pawn + ?

So:
5 = 1 + 1 + ?
→ ? = 5 - 2 = 3

So the missing piece must be worth 3

Pieces worth 3: Bishop or Knight

So the missing piece is either a bishop or knight.

Now, look at the boxes below:
- Box 1: white rook → value = 5
- Box 2: white pawn → 1
- Box 3: white pawn → 1
- Box 4: white knight → 3

So the equation is: Rook = Pawn + Pawn + Knight → 5 = 1 + 1 + 3 → ✔ Correct

So the missing piece is a knight

But the question is: what is the value of the missing piece? → 3

And we fill in the boxes with the values of each group?

Wait — the boxes are under the pieces, so probably we write the value of that group.

But in this row:
- The equation is: Rook = Pawn + Pawn + ?
- We are to solve for ?

But the boxes are under:
1. White rook → value = 5 → put 5
2. White pawn → 1 → put 1
3. White pawn → 1 → put 1
4. White knight → 3 → put 3

So the answer is that the missing piece is worth 3

But the question mark is in the equation, not in the box.

So perhaps we fill the boxes with the value of each piece/group.

Let’s proceed.

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## ✔ Row 3:
🟦 Rook + Knight + Bishop = ?

Left side: Rook + Knight + Bishop = 5 + 3 + 3 = 11

Now, the boxes below:
- Box 1: black bishop → 3
- Box 2: black rook → 5
- Box 3: black king → "worth the whole game" → can't assign number?
- Box 4: black pawn → 1

But the equation is: Rook + Knight + Bishop = ?

So total = 5 + 3 + 3 = 11

But the boxes are under individual pieces, so perhaps we write the value of each piece in its box.

So:
- Box 1: black bishop → 3
- Box 2: black rook → 5
- Box 3: black king → ??? → cannot assign
- Box 4: black pawn → 1

But the king is problematic.

Wait — perhaps the third box is not part of the equation?

Let’s look at the layout.

In Row 3, the equation is:
🟦 Rook + Knight + Bishop = ?

Then below:
- Box 1: black bishop → 3
- Box 2: black rook → 5
- Box 3: black king → ???
- Box 4: black pawn → 1

But the equation doesn't include the king or pawn.

So maybe the boxes are just for the pieces shown, and we write their values.

So for Row 3:
- Box 1: black bishop → 3
- Box 2: black rook → 5
- Box 3: black king → can't assign (but maybe they want us to write "whole game"?)
- Box 4: black pawn → 1

But the main question is: what is the value of Rook + Knight + Bishop?

Answer: 5 + 3 + 3 = 11

But where do we write it?

Ah! The yellow box on the left has:
🟦 Rook + Knight + Bishop = ?

So we need to solve this equation.

Answer: 11

So the final answer for that row is 11

But the boxes below are probably for individual piece values.

Let’s now reconstruct all three rows.

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✔ Final Interpretation:

Each row has:
- A yellow box with a math equation involving chess pieces.
- Below it, four groups of pieces (or single pieces), each with a box to fill in the value of that piece/group.

But actually, looking at the image:

#### Row 1:
- Yellow box: 🟤 Bishop = ?
- Below:
- 3 pawns → total = 3 → write 3
- 3 knights → total = 9 → write 9
- 3 kings → total = ? → can't assign → maybe leave blank?

But the bishop is worth 3, so the answer is 3

So perhaps the question is: what is the value of the bishop? → 3

And the boxes are for the groups below.

So:
- Box 1: 3 pawns = 3 → write 3
- Box 2: 3 knights = 9 → write 9
- Box 3: 3 kings = ??? → since king is "worth the whole game", perhaps we write "whole game" or skip?

But that’s not numerical.

Wait — maybe the kings are not meant to be calculated?

Alternatively, perhaps the only valid equations are the ones that use standard values.

Let’s focus on the second and third rows, which are clearer.

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🔹 Row 2: Rook = Pawn + Pawn + ?

We know:
- Rook = 5
- Pawn = 1
- So: 5 = 1 + 1 + ? → ? = 3

So the missing piece is worth 3 → Bishop or Knight

Now, the boxes below:
1. White rook → value = 5 → write 5
2. White pawn → 1 → write 1
3. White pawn → 1 → write 1
4. White knight → 3 → write 3

So the missing piece is the knight, value = 3

So the answer to the equation is: 3

But the yellow box asks: Rook = Pawn + Pawn + ? → so we fill in 3

And the boxes below are for values of the pieces shown.

So:
- Box 1: rook → 5
- Box 2: pawn → 1
- Box 3: pawn → 1
- Box 4: knight → 3

✔ All correct.

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🔹 Row 3: Rook + Knight + Bishop = ?

Values:
- Rook = 5
- Knight = 3
- Bishop = 3
- Total = 5 + 3 + 3 = 11

Now, the boxes below:
1. Black bishop → 3 → write 3
2. Black rook → 5 → write 5
3. Black king → ??? → cannot assign → maybe ignore?
4. Black pawn → 1 → write 1

But the equation is only about rook, knight, bishop — not king or pawn.

So perhaps the boxes are just for identifying values, and we don’t need to use them in the equation.

So the answer to the equation is 11

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🔹 Row 1: Bishop = ?

From the table: Bishop = 3

So answer: 3

Now, the boxes below:
1. 3 pawns → 3 × 1 = 3
2. 3 knights → 3 × 3 = 9
3. 3 kings → ??? → maybe the problem assumes king = 0 or something? No — king is "worth the whole game"

But notice: the first group (3 pawns) = 3 → same as bishop.

So perhaps the point is that bishop = 3 pawns?

But that’s not stated.

Alternatively, the boxes are just to practice calculating totals.

So:
- Box 1: 3 pawns = 3
- Box 2: 3 knights = 9
- Box 3: 3 kings = ??? → perhaps leave blank or write "N/A"

But since the king is not assigned a number, we can't calculate.

Maybe the problem intends that we only use pieces with numerical values.

So only pawns, knights, bishops, rooks, queens have values.

Kings are special.

So for Row 1, the three groups:
1. 3 pawns → 3
2. 3 knights → 9
3. 3 kings → can't calculate → skip

But the yellow box asks: Bishop = ? → answer: 3

So final answers:

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✔ Answers:

#### Row 1:
- Bishop = 3
- Box 1 (3 pawns): 3
- Box 2 (3 knights): 9
- Box 3 (3 kings): cannot assign (or leave blank)

But since the instruction says "use the value of pieces to solve the equations", and kings have no value, perhaps only the first two groups are relevant.

But the boxes are there — so maybe we fill them as best as possible.

So:
- Box 1: 3 → ✔
- Box 2: 9 → ✔
- Box 3: ??? → maybe write "whole game" or "∞" — but unlikely

Alternatively, perhaps the kings are not part of the calculation.

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Final Answer Summary:

| Row | Equation | Answer |
|-----|---------|--------|
| 1 | Bishop = ? | 3 |
| 2 | Rook = Pawn + Pawn + ? | 3 (the missing piece is worth 3) |
| 3 | Rook + Knight + Bishop = ? | 11 |

And the boxes below each row are for the values of the pieces shown:

#### Row 1 Boxes:
- 3 pawns → 3
- 3 knights → 9
- 3 kings → N/A (or leave blank)

#### Row 2 Boxes:
- White rook → 5
- White pawn → 1
- White pawn → 1
- White knight → 3

#### Row 3 Boxes:
- Black bishop → 3
- Black rook → 5
- Black king → N/A
- Black pawn → 1

But since the kings have no numerical value, we can't fill those boxes.

However, the main task is to solve the equations in the yellow boxes.

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✔ Final Answers:

1. Bishop = 3
2. Missing piece = 3 (so the equation is satisfied)
3. Rook + Knight + Bishop = 11

So the answers to the questions are:

- First yellow box: 3
- Second yellow box: 3
- Third yellow box: 11

And the boxes below are for practice: fill in the value of each group or piece.

So:

Fill-in-the-boxes:

#### Row 1:
- Box 1: 3 (3 pawns)
- Box 2: 9 (3 knights)
- Box 3: N/A (3 kings)

#### Row 2:
- Box 1: 5 (rook)
- Box 2: 1 (pawn)
- Box 3: 1 (pawn)
- Box 4: 3 (knight)

#### Row 3:
- Box 1: 3 (bishop)
- Box 2: 5 (rook)
- Box 3: N/A (king)
- Box 4: 1 (pawn)

But since the king has no value, maybe the problem expects us to skip it.

Alternatively, perhaps the kings are not meant to be included in any calculation.

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✔ Final Answer:

The solutions to the yellow boxes are:

1. Bishop = 3
2. Rook = Pawn + Pawn + Knight → missing piece value = 3
3. Rook + Knight + Bishop = 5 + 3 + 3 = 11

So the answers are:

- First question: 3
- Second question: 3
- Third question: 11

And the boxes below should be filled with the values of the pieces/groups shown.

Thus, the correct answers are:

> 3, 3, 11

And the boxes:
- Row 1: 3, 9, [blank]
- Row 2: 5, 1, 1, 3
- Row 3: 3, 5, [blank], 1

But since the kings are not numerically valued, we can't fill those.

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✔ Final Answer:

The values are:
- Bishop = 3
- Missing piece in second equation = 3
- Sum of Rook + Knight + Bishop = 11

So the answers to the yellow boxes are:

👉 3, 3, 11