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Percentage of a Number worksheet for Grade 6 students, designed to practice calculating percentages without a calculator.

Grade 6 math worksheet on finding percentages of numbers, featuring 20 problems with instructions to solve the first column without a calculator.

Grade 6 math worksheet on finding percentages of numbers, featuring 20 problems with instructions to solve the first column without a calculator.

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Show Answer Key & Explanations Step-by-step solution for: Grade 6 Percentage Worksheets | Free Printables | Worksheets ...
Sure! Let’s solve each problem step by step. The task is to find “X% of Y”, which means:

> X% of Y = (X/100) × Y

We’ll solve all 20 problems, and for the first column (problems 1–10), I’ll show how to do them *without a calculator*, using mental math or simple fractions.

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Column 1: Problems 1–10 (Try without calculator)



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1. 60% of 110

> 60% = 60/100 = 3/5
> So, 3/5 × 110 = (110 ÷ 5) × 3 = 22 × 3 = 66

Answer: 66

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2. 50% of 90

> 50% = half → 90 ÷ 2 = 45

Answer: 45

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3. 10% of 10

> 10% = 1/10 → 10 ÷ 10 = 1

Answer: 1

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4. 40% of 80

> 40% = 4/10 = 2/5
> 2/5 × 80 = (80 ÷ 5) × 2 = 16 × 2 = 32

Answer: 32

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5. 80% of 40

> 80% = 8/10 = 4/5
> 4/5 × 40 = (40 ÷ 5) × 4 = 8 × 4 = 32

Answer: 32

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6. 40% of 35

> 40% = 0.4 → 0.4 × 35
> Think: 10% of 35 = 3.5 → 40% = 4 × 3.5 = 14

Answer: 14

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7. 90% of 90

> 90% = 9/10 → (9/10) × 90 = 9 × 9 = 81

Answer: 81

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8. 25% of 60

> 25% = 1/4 → 60 ÷ 4 = 15

Answer: 15

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9. 40% of 20

> 40% = 0.4 → 0.4 × 20 = 8

Answer: 8

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10. 25% of 120

> 25% = 1/4 → 120 ÷ 4 = 30

Answer: 30

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Column 2: Problems 11–20 (Calculator allowed, but we’ll still show steps)



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11. 75% of 90

> 75% = 3/4 → 90 ÷ 4 = 22.5 → 22.5 × 3 = 67.5

Answer: 67.5

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12. 45% of 25

> 45% = 0.45 → 0.45 × 25
> Or: 10% of 25 = 2.5 → 40% = 10 → 5% = 1.25 → total = 10 + 1.25 = 11.25

Answer: 11.25

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13. 35% of 75

> 35% = 0.35 → 0.35 × 75
> Break it: 30% of 75 = 22.5; 5% = 3.75 → total = 22.5 + 3.75 = 26.25

Answer: 26.25

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14. 55% of 90

> 55% = 0.55 → 0.55 × 90
> 50% = 45; 5% = 4.5 → total = 45 + 4.5 = 49.5

Answer: 49.5

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15. 95% of 14

> 95% = 0.95 → 0.95 × 14
> Or: 100% = 14; minus 5% (which is 0.7) → 14 - 0.7 = 13.3

Answer: 13.3

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16. 42% of 46

> 42% = 0.42 → 0.42 × 46
> Compute: 0.4 × 46 = 18.4; 0.02 × 46 = 0.92 → total = 18.4 + 0.92 = 19.32

Answer: 19.32

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17. 23% of 96

> 23% = 0.23 → 0.23 × 96
> 0.2 × 96 = 19.2; 0.03 × 96 = 2.88 → total = 19.2 + 2.88 = 22.08

Answer: 22.08

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18. 58% of 88

> 58% = 0.58 → 0.58 × 88
> 0.5 × 88 = 44; 0.08 × 88 = 7.04 → total = 44 + 7.04 = 51.04

Answer: 51.04

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19. 47% of 144

> 47% = 0.47 → 0.47 × 144
> 0.4 × 144 = 57.6; 0.07 × 144 = 10.08 → total = 57.6 + 10.08 = 67.68

Answer: 67.68

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20. 39% of 238

> 39% = 0.39 → 0.39 × 238
> 0.4 × 238 = 95.2; minus 0.01 × 238 = 2.38 → 95.2 - 2.38 = 92.82

Answer: 92.82

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## 📝 Final Answers (All 20):

1. 66
2. 45
3. 1
4. 32
5. 32
6. 14
7. 81
8. 15
9. 8
10. 30
11. 67.5
12. 11.25
13. 26.25
14. 49.5
15. 13.3
16. 19.32
17. 22.08
18. 51.04
19. 67.68
20. 92.82

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## 💡 Tips for Mental Math (First Column):
- Use fractions: 50% = 1/2, 25% = 1/4, 10% = 1/10, 20% = 1/5, etc.
- Break percentages: e.g., 40% = 4 × 10%, 35% = 30% + 5%
- Multiply by 10s and adjust decimals.

Let me know if you’d like a printable version or flashcards for practice! 😊
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet grade 7.
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