Let’s go through each question one by one and solve them carefully.
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Question 1: Which of the following can also be written as 84%?
We know that “percent” means “per hundred”, so:
84% = 84/100
Now simplify 84/100:
Divide numerator and denominator by 4 → 21/25
So, 84% = 21/25 → That’s option [B]
Check others quickly:
- [A] 0.16 = 16% → No
- [C] 8.4 = 840% → No
- [D] 84/25 = 3.36 = 336% → No
✔ Correct answer:
[B] 21/25
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Question 2: All of the following are equal except:
Let’s calculate each:
[A] 50% of 400 = 0.5 × 400 =
200
[B] $200 → obviously
200
[C] $400 decreased by half = 400 - (half of 400) = 400 - 200 =
200
[D] 150% of 50 = 1.5 × 50 =
75 ← This is different!
[E] $100 increased by 100% = 100 + 100 =
200
So only [D] is not equal to 200.
✔ Correct answer:
[D] 150% of 50
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**Question 3: Express the sample proportion as a percent.
379 out of 659 applicants for jobs had the necessary skills.**
Proportion = 379 ÷ 659
Let’s compute that:
379 ÷ 659 ≈ ?
Do division: 379 ÷ 659
≈ 0.5751 (use calculator or long division)
Convert to percent: multiply by 100 → 57.51%
Round appropriately — since it's about people, maybe round to nearest whole percent? But let’s keep one decimal unless told otherwise.
Actually, let’s check more precisely:
379 ÷ 659 = ?
Compute:
659 × 0.575 = 659 × 0.5 = 329.5; 659 × 0.075 = ~49.425 → total ~378.925 → very close to 379
So yes, approximately 57.5%
But perhaps we should give exact value rounded reasonably.
In most school contexts, rounding to nearest tenth of a percent is fine.
So: 379 ÷ 659 ≈ 0.5751 →
57.5%
✔ Final Answer:
57.5%
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Question 4: 20% of 60 is what number?
20% = 0.20
0.20 × 60 = 12
✔ Final Answer:
12
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Question 5: 80% of 50 is what number?
80% = 0.80
0.80 × 50 = 40
✔ Final Answer:
40
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Question 6: Compare Column A and Column B
Column A: 80% of 72,000
= 0.80 × 72,000 = 57,600
Column B: 20% of 288,000
= 0.20 × 288,000 = 57,600
They are equal!
✔ Correct answer:
[C] The quantities are equal.
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Question 7: 18 is 60% of what number?
Let the number be x.
Then: 60% of x = 18
→ 0.60x = 18
→ x = 18 ÷ 0.60
→ x = 30
Check: 60% of 30 = 0.6 × 30 = 18 → Correct.
Options: [A] 333 [B] 10.8 [C] 30 [D] 0.3 → So [C]
✔ Correct answer:
[C] 30
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Final Answers:
1. [B]
2. [D]
3. 57.5%
4. 12
5. 40
6. [C]
7. [C]
──────────────────────────────────────
Final Answer:
1. [B]
2. [D]
3. 57.5%
4. 12
5. 40
6. [C]
7. [C]
Parent Tip: Review the logic above to help your child master the concept of 7th grade math common core worksheet.