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Quantities as Percentages

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Quantities as Percentages worksheet preview

Quantities as Percentages

Percentage calculation illustration

📊 Part 1: Understanding the Method

1. To write one quantity as a percentage of another, we use the formula:

(whole ÷ part) × 100

(part ÷ whole) × 100

(part × whole) ÷ 100

(part + whole) × 100

2. In a class of 25 students, 15 students play sport. What is the first step to find what percentage play sport?

Calculate 25 ÷ 15

Calculate 15 ÷ 25

Calculate 15 × 100

Calculate 25 × 100

3. Complete this calculation: 15 ÷ 25 = _______

Then multiply by 100: _______ × 100 = _______% of students play sport.

🧮 Part 2: Real-Life Percentage Problems

4. A survey asked 40 Year 9 students about their favourite subject. 18 students chose Mathematics. What percentage of students chose Mathematics?

Answer: _______% of students chose Mathematics.

5. In a rugby team's season, they won 12 games out of 20 total games. What percentage of games did they win?

Answer: _______% of games were won.

6. A shop sold 35 ice creams on a hot day. 21 of them were chocolate flavour. What percentage were chocolate?

Answer: _______% were chocolate flavour.

7. Sarah scored 17 out of 25 marks on her science test. What percentage did she achieve?

Answer: Sarah achieved _______% on her test.

🤔 Part 3: Challenge Questions

8. A basketball player made 24 successful shots out of 30 attempts. Calculate the percentage and explain whether this is a good shooting percentage.
9. In a car park, there are 60 cars. 45 are petrol cars and 15 are electric cars. What percentage are electric cars? Show your working.

Answer: _______% are electric cars.

10. Create your own percentage problem using the numbers 8 and 32. Write the problem and solve it.

Your problem:

Your solution:

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