Percentage exercise for 7 - Free Printable
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Step-by-step solution for: Percentage exercise for 7
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Show Answer Key & Explanations
Step-by-step solution for: Percentage exercise for 7
Let's solve each question step by step.
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## Question no.1: Find percentages of integers
We’ll calculate each percentage using the formula:
> Percentage of a number = (Percentage / 100) × Number
1. 40% of 200
= (40/100) × 200 = 0.4 × 200 = 80
2. 60% of 3
= (60/100) × 3 = 0.6 × 3 = 1.8
3. 4% of 150
= (4/100) × 150 = 0.04 × 150 = 6
4. 30% of 800
= (30/100) × 800 = 0.3 × 800 = 240
5. 70% of 60
= (70/100) × 60 = 0.7 × 60 = 42
6. 20% of 140
= (20/100) × 140 = 0.2 × 140 = 28
7. 7% of 800
= (7/100) × 800 = 0.07 × 800 = 56
8. 50% of 36
= (50/100) × 36 = 0.5 × 36 = 18
9. 3% of 220
= (3/100) × 220 = 0.03 × 220 = 6.6
10. 5% of 500
= (5/100) × 500 = 0.05 × 500 = 25
✔ Answers for Question 1:
- 40% of 200 = 80
- 60% of 3 = 1.8
- 4% of 150 = 6
- 30% of 800 = 240
- 70% of 60 = 42
- 20% of 140 = 28
- 7% of 800 = 56
- 50% of 36 = 18
- 3% of 220 = 6.6
- 5% of 500 = 25
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## Question no.2: Guess
We are given 8 options (A–H), and 4 clues:
> - I am less than ¾.
> - I am not a decimal.
> - If you round me to the nearest whole, I would round up.
> - I am more than six-tenths.
Let’s convert all options to decimals to compare easily:
- A: 0.43 → decimal → ✘ (clue 2 says "not a decimal")
- B: 58% = 0.58 → decimal → ✘
- C: 13/25 = 0.52 → fraction → ✔ (not a decimal)
- D: 0.89 → decimal → ✘
- E: 17/100 = 0.17 → fraction → ✔
- F: 14% = 0.14 → decimal → ✘
- G: 37/50 = 0.74 → fraction → ✔
- H: 0.3 → decimal → ✘
So only C (13/25), E (17/100), and G (37/50) are fractions — not decimals.
Now apply the other clues:
- C: 0.52 < 0.75 → ✔
- E: 0.17 < 0.75 → ✔
- G: 0.74 < 0.75 → ✔
All pass.
That means the number is ≥ 0.5 (since anything ≥ 0.5 rounds up to 1).
- C: 0.52 → rounds to 1 → ✔
- E: 0.17 → rounds to 0 → ✘
- G: 0.74 → rounds to 1 → ✔
So now only C and G remain.
- C: 0.52 → 0.52 < 0.6 → ✘
- G: 0.74 > 0.6 → ✔
✔ Only G (37/50) satisfies all 4 clues.
> ✔️ Answer: G
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## Question no.3: Word Problems
> A shop sells 140 chocolate, vanilla and strawberry ice creams. 41% are vanilla, 24% are strawberry. How many chocolate ice creams are sold?
Total = 140
Vanilla = 41% of 140 = 0.41 × 140 = 57.4 → Wait! That’s not an integer. But ice creams can’t be fractional. Let’s check if it’s meant to be rounded or if we made a mistake.
Actually, let’s compute exactly:
41% of 140 = (41/100) × 140 = (41 × 140)/100 = 5740 / 100 = 57.4
Same with strawberry: 24% of 140 = 0.24 × 140 = 33.6
Hmm… that suggests maybe we should interpret this as approximate, or perhaps the problem expects us to find chocolate by subtracting percentages first.
Better approach:
Total percentage accounted for = 41% (vanilla) + 24% (strawberry) = 65%
So chocolate = 100% - 65% = 35%
Then: 35% of 140 = 0.35 × 140 = 49
✔ Since 49 is a whole number, this makes sense.
> ✔️ Answer: 49 chocolate ice creams
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> An animal park has lions, tigers and zebras. 15% of the animals are lions and ⅖ of the animals are zebras. If there are 160 animals at the park, how many lions are there?
Total animals = 160
Lions = 15% of 160 = 0.15 × 160 = 24
(We don’t need the zebras info for this question — it’s extra.)
> ✔️ Answer: 24 lions
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## ✔ Final Answers:
- 40% of 200 = 80
- 60% of 3 = 1.8
- 4% of 150 = 6
- 30% of 800 = 240
- 70% of 60 = 42
- 20% of 140 = 28
- 7% of 800 = 56
- 50% of 36 = 18
- 3% of 220 = 6.6
- 5% of 500 = 25
> Who am I? → G (37/50)
1. Chocolate ice creams sold → 49
2. Lions in the park → 24
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Let me know if you’d like this formatted as a worksheet answer key!
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## Question no.1: Find percentages of integers
We’ll calculate each percentage using the formula:
> Percentage of a number = (Percentage / 100) × Number
Left Column:
1. 40% of 200
= (40/100) × 200 = 0.4 × 200 = 80
2. 60% of 3
= (60/100) × 3 = 0.6 × 3 = 1.8
3. 4% of 150
= (4/100) × 150 = 0.04 × 150 = 6
4. 30% of 800
= (30/100) × 800 = 0.3 × 800 = 240
5. 70% of 60
= (70/100) × 60 = 0.7 × 60 = 42
Right Column:
6. 20% of 140
= (20/100) × 140 = 0.2 × 140 = 28
7. 7% of 800
= (7/100) × 800 = 0.07 × 800 = 56
8. 50% of 36
= (50/100) × 36 = 0.5 × 36 = 18
9. 3% of 220
= (3/100) × 220 = 0.03 × 220 = 6.6
10. 5% of 500
= (5/100) × 500 = 0.05 × 500 = 25
✔ Answers for Question 1:
- 40% of 200 = 80
- 60% of 3 = 1.8
- 4% of 150 = 6
- 30% of 800 = 240
- 70% of 60 = 42
- 20% of 140 = 28
- 7% of 800 = 56
- 50% of 36 = 18
- 3% of 220 = 6.6
- 5% of 500 = 25
---
## Question no.2: Guess
We are given 8 options (A–H), and 4 clues:
> - I am less than ¾.
> - I am not a decimal.
> - If you round me to the nearest whole, I would round up.
> - I am more than six-tenths.
Let’s convert all options to decimals to compare easily:
- A: 0.43 → decimal → ✘ (clue 2 says "not a decimal")
- B: 58% = 0.58 → decimal → ✘
- C: 13/25 = 0.52 → fraction → ✔ (not a decimal)
- D: 0.89 → decimal → ✘
- E: 17/100 = 0.17 → fraction → ✔
- F: 14% = 0.14 → decimal → ✘
- G: 37/50 = 0.74 → fraction → ✔
- H: 0.3 → decimal → ✘
So only C (13/25), E (17/100), and G (37/50) are fractions — not decimals.
Now apply the other clues:
Clue 1: Less than ¾ → ¾ = 0.75
- C: 0.52 < 0.75 → ✔
- E: 0.17 < 0.75 → ✔
- G: 0.74 < 0.75 → ✔
All pass.
Clue 3: Round to nearest whole → round UP
That means the number is ≥ 0.5 (since anything ≥ 0.5 rounds up to 1).
- C: 0.52 → rounds to 1 → ✔
- E: 0.17 → rounds to 0 → ✘
- G: 0.74 → rounds to 1 → ✔
So now only C and G remain.
Clue 4: More than six-tenths → > 0.6
- C: 0.52 → 0.52 < 0.6 → ✘
- G: 0.74 > 0.6 → ✔
✔ Only G (37/50) satisfies all 4 clues.
> ✔️ Answer: G
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## Question no.3: Word Problems
Problem 1:
> A shop sells 140 chocolate, vanilla and strawberry ice creams. 41% are vanilla, 24% are strawberry. How many chocolate ice creams are sold?
Total = 140
Vanilla = 41% of 140 = 0.41 × 140 = 57.4 → Wait! That’s not an integer. But ice creams can’t be fractional. Let’s check if it’s meant to be rounded or if we made a mistake.
Actually, let’s compute exactly:
41% of 140 = (41/100) × 140 = (41 × 140)/100 = 5740 / 100 = 57.4
Same with strawberry: 24% of 140 = 0.24 × 140 = 33.6
Hmm… that suggests maybe we should interpret this as approximate, or perhaps the problem expects us to find chocolate by subtracting percentages first.
Better approach:
Total percentage accounted for = 41% (vanilla) + 24% (strawberry) = 65%
So chocolate = 100% - 65% = 35%
Then: 35% of 140 = 0.35 × 140 = 49
✔ Since 49 is a whole number, this makes sense.
> ✔️ Answer: 49 chocolate ice creams
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Problem 2:
> An animal park has lions, tigers and zebras. 15% of the animals are lions and ⅖ of the animals are zebras. If there are 160 animals at the park, how many lions are there?
Total animals = 160
Lions = 15% of 160 = 0.15 × 160 = 24
(We don’t need the zebras info for this question — it’s extra.)
> ✔️ Answer: 24 lions
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## ✔ Final Answers:
Question 1:
- 40% of 200 = 80
- 60% of 3 = 1.8
- 4% of 150 = 6
- 30% of 800 = 240
- 70% of 60 = 42
- 20% of 140 = 28
- 7% of 800 = 56
- 50% of 36 = 18
- 3% of 220 = 6.6
- 5% of 500 = 25
Question 2:
> Who am I? → G (37/50)
Question 3:
1. Chocolate ice creams sold → 49
2. Lions in the park → 24
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Let me know if you’d like this formatted as a worksheet answer key!
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet 7th grade.