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Educational worksheet for learning percentages and fractions using shaded grids.

A worksheet titled "Introduction to Percentage" featuring a concept section, an example with a beaker and pie chart, and an assignment with shaded grids for calculating percentages and fractions.

A worksheet titled "Introduction to Percentage" featuring a concept section, an example with a beaker and pie chart, and an assignment with shaded grids for calculating percentages and fractions.

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Show Answer Key & Explanations Step-by-step solution for: Percent Worksheets - Fun way to practice multiplication and ...
Let’s solve each part step by step.

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Part 1: Write the percentage and fraction of shaded area in each big square

Each big square is a 10x10 grid → total = 100 small squares.

First square (blue):
- Count shaded squares: Let’s count row by row.
- Rows 1 to 7: all 10 shaded → 7 × 10 = 70
- Row 8: only 6 shaded (last 4 are white)
- Total shaded = 70 + 6 = 76
- Percentage = 76% (since 76 out of 100)
- Fraction = 76/100 → can simplify? Divide numerator and denominator by 4 → 19/25
But since the problem doesn’t ask to simplify, we can leave as 76/100 unless specified. However, looking at the example in the concept box, they used unsimplified fractions like 20/100, so we’ll use 76/100.

Wait — let me double-check the shading:

Actually, looking again:
Row 1–7: full 10 → 70
Row 8: first 6 shaded → yes, 6
Rows 9–10: completely unshaded → 0
Total = 76 → correct.

Second square (red):
- Shaded rows: bottom 4 rows fully shaded → 4 × 10 = 40
- So, 40 out of 100
- Percentage = 40%
- Fraction = 40/100

Third square (green):
This one is scattered. Let’s count carefully.

We’ll go column by column or row by row. Better to do row by row.

Row 1: columns 3,4 → 2
Row 2: columns 3,4 → 2
Row 3: columns 3,4 → 2
Row 4: columns 3,4 → 2
→ That’s 8 so far (rows 1–4, cols 3–4)

Row 5: col 3 → 1
Row 6: col 3 → 1
Row 7: col 3 → 1
Row 8: col 3 → 1
→ That’s 4 more → total 12

Now right side:

Row 5: col 8 → 1
Row 6: col 8 → 1
Row 7: col 8 → 1
Row 8: col 8 → 1
→ 4 more → total 16

Also:

Row 9: col 8,9,10 → 3
Row 10: col 8,9,10 → 3
→ 6 more → total 22

Wait — did I miss any?

Let me list all shaded positions:

Left block:
- Rows 1–4, cols 3–4 → 4 rows × 2 cols = 8
- Rows 5–8, col 3 → 4 rows × 1 = 4 → total left = 12

Right block:
- Rows 5–8, col 8 → 4
- Rows 9–10, cols 8–10 → 2 rows × 3 cols = 6 → total right = 10

Wait — that’s 12 + 10 = 22? But earlier I said 22.

But let me recount visually from top:

Actually, maybe better to count total green squares:

I see:
- A vertical strip on left: from row 1 to 8, column 3 → that’s 8 squares
- Plus row 1–4, column 4 → 4 squares → so left part: 8 + 4 = 12? No, wait — if column 3 has rows 1–8 (8), and column 4 has rows 1–4 (4), then yes, 12.

Then on right:
- Column 8: rows 5–10 → that’s 6 squares (rows 5,6,7,8,9,10)
- Column 9: rows 9–10 → 2
- Column 10: rows 9–10 → 2
→ Right part: 6 + 2 + 2 = 10

Total = 12 + 10 = 22

Yes.

So:
- Percentage = 22%
- Fraction = 22/100

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Part 2: Shade the square for each percent of operation

We need to shade the given percentage in a 10x10 grid (100 squares).

Shade: 85 percent
→ Shade 85 squares.
How? Easy: shade 8 full rows (80 squares) + 5 squares in the next row.

Shade: 35 percent
→ Shade 35 squares.
→ 3 full rows (30) + 5 squares in the 4th row.

Shade: 28/100
→ This is already a fraction over 100 → same as 28%.
→ Shade 28 squares.
→ 2 full rows (20) + 8 squares in the 3rd row.

Note: The instruction says “Shade: 28/100” — which is equivalent to 28%, so same as above.

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Final Answers:

Assignment Part 1:

First square (blue):
Percentage: 76%
Fraction: 76/100

Second square (red):
Percentage: 40%
Fraction: 40/100

Third square (green):
Percentage: 22%
Fraction: 22/100

Assignment Part 2:

Shade 85 percent → shade 85 squares (e.g., 8 full rows + 5 in next)
Shade 35 percent → shade 35 squares (e.g., 3 full rows + 5 in next)
Shade 28/100 → shade 28 squares (e.g., 2 full rows + 8 in next)

Since the question asks to "write" for part 1 and "shade" for part 2, and we’re providing final answer textually, for part 2 we describe how many to shade.

But per format, Final Answer should be concise.

Looking back at user request: “Solve the problem accurately.” and response format requires Final Answer section with only the final correct answer.

For part 1, we write percentages and fractions.

For part 2, since it’s “shade”, but we can’t draw, we state how many squares to shade.

But perhaps the expected final answer is just the numbers for part 1, and for part 2, since it’s shading, maybe not required in text? But the assignment includes both.

To be safe, I’ll provide all numerical answers.

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Final Answer:
First square: Percentage = 76%, Fraction = 76/100
Second square: Percentage = 40%, Fraction = 40/100
Third square: Percentage = 22%, Fraction = 22/100
Shade 85%: 85 squares
Shade 35%: 35 squares
Shade 28/100: 28 squares
Parent Tip: Review the logic above to help your child master the concept of percentages worksheet pdf.
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