Mental Percentages Worksheet | Printable PDF Worksheets - Free Printable

Let’s solve each problem step by step.

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Part 1: Convert fractions and decimals to percents

Remember: To turn a fraction or decimal into a percent, multiply by 100 and add the % sign.

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1) 65/100 = ?%

This one is easy — it’s already out of 100.
So, 65/100 = 65%

✔ Check: 65 ÷ 100 = 0.65 → 0.65 × 100 = 65%

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2) 3/8 = ?%

Divide 3 by 8:
3 ÷ 8 = 0.375
Now multiply by 100:
0.375 × 100 = 37.5

✔ So, 3/8 = 37.5%

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3) 9/10 = ?%

9 ÷ 10 = 0.9
0.9 × 100 = 90

✔ So, 9/10 = 90%

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4) 1/4 = ?%

1 ÷ 4 = 0.25
0.25 × 100 = 25

✔ So, 1/4 = 25%

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5) 12/20 = ?%

First, simplify if possible:
12 ÷ 4 = 3, 20 ÷ 4 = 5 → so 12/20 = 3/5
But we can also just divide:
12 ÷ 20 = 0.6
0.6 × 100 = 60

✔ So, 12/20 = 60%

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6) 12/24 = ?%

Simplify: 12 ÷ 12 = 1, 24 ÷ 12 = 2 → 1/2
1 ÷ 2 = 0.5
0.5 × 100 = 50

✔ So, 12/24 = 50%

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7) .75 = ?%

Decimal to percent: move decimal two places right (or ×100)
.75 × 100 = 75

✔ So, .75 = 75%

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8) .05 = ?%

.05 × 100 = 5

✔ So, .05 = 5%

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9) .137 = ?%

.137 × 100 = 13.7

✔ So, .137 = 13.7%

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10) .54 = ?%

.54 × 100 = 54

✔ So, .54 = 54%

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Part 2: Percentage of colored portion in shapes

We count how many squares are colored vs total squares.

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Left shape (purple):

Total squares: 3 rows × 3 columns = 9 squares
Colored squares: Let’s count — top row all 3, middle center 1, bottom center 1 → 3 + 1 + 1 = 5

So, 5 out of 9 → 5/9

Convert to percent:
5 ÷ 9 ≈ 0.555...
×100 ≈ 55.555...% → round to nearest tenth? But since no instruction, maybe leave as fraction or approximate.

Wait — let me recount the purple squares:

Top row: 3 purple
Middle row: only center is purple → 1
Bottom row: only center is purple → 1
Total = 3 + 1 + 1 = 5 ✔

So 5/9 = ?

5 ÷ 9 = 0.555... → 55.555...% → usually written as 55.6% if rounding to tenths, but sometimes they want exact.

Looking at other problems, they used decimals like .137 → 13.7%, so probably okay to use decimal.

But let’s see — maybe they expect fractional percent? No, better to compute exactly.

Actually, 5/9 = 55.\overline{5}% — but for school level, often rounded to one decimal.

I’ll go with 55.6% (rounded).

Wait — let me check again: Is it really 5?

Image description: 3x3 grid.

Row 1: all 3 purple → 3
Row 2: left white, center purple, right white → 1
Row 3: left white, center purple, right white → 1
Yes, 5 total.

So 5/9 ≈ 55.56% → I think 55.6% is fine.

But let’s hold on — maybe they want exact value? The worksheet doesn’t specify rounding.

Alternatively, perhaps write as mixed number? No, percents are usually decimal.

I’ll use 55.6%

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Right shape (green):

Grid: 3 rows × 6 columns = 18 squares total

Count green squares:

Row 1: first square green → 1
Row 2: first 5 squares green → 5
Row 3: first square green, then last two green → that’s 1 + 2 = 3? Wait:

Let me list:

Row 1: [G][W][W][W][W][W] → 1 green
Row 2: [G][G][G][G][G][W] → 5 green
Row 3: [G][W][W][W][G][G] → positions 1, 5, 6 → 3 green

Total green: 1 + 5 + 3 = 9

Total squares: 18

So 9/18 = 1/2 = 0.5 = 50%

✔ So, 50%

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Now, compiling all answers:

1) 65%
2) 37.5%
3) 90%
4) 25%
5) 60%
6) 50%
7) 75%
8) 5%
9) 13.7%
10) 54%

Shape 1 (purple): 5/9 ≈ 55.6%
Shape 2 (green): 50%

Wait — for shape 1, should I write it as a fraction? The directions say “write the percentage”, so decimal is fine.

But let me double-check the purple shape count.

Perhaps I miscounted? Another way: total 9 squares, 5 colored → yes.

Maybe they expect 55.56%? But in context, since others are exact or simple decimals, perhaps leave as 55.6%.

Alternatively, maybe I made a mistake — let me visualize again.

Assume standard 3x3 grid:

Positions:

(1,1) (1,2) (1,3) → all purple → 3
(2,1) (2,2) (2,3) → only (2,2) purple → 1
(3,1) (3,2) (3,3) → only (3,2) purple → 1
Total 5 — correct.

So 5/9 = 55.555...% — I think for this level, writing 55.6% is acceptable.

Some might write 55\frac{5}{9}%, but that's unusual.

I'll go with 55.6%.

Final Answer:

1) 65%
2) 37.5%
3) 90%
4) 25%
5) 60%
6) 50%
7) 75%
8) 5%
9) 13.7%
10) 54%
Purple shape: 55.6%
Green shape: 50%

But wait — in the original, for question 9, it's .137 which is 13.7%, so they accept one decimal place.

Similarly, for purple, 55.6% is consistent.

Okay.

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Final Answer:
1) 65%
2) 37.5%
3) 90%
4) 25%
5) 60%
6) 50%
7) 75%
8) 5%
9) 13.7%
10) 54%
Purple shape: 55.6%
Green shape: 50%