Quantities as Percentages

Name:

Date:

📊 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:

Quantities as Percentages

Quantities as Percentages

📊 Part 1: Understanding the Method

🧮 Part 2: Real-Life Percentage Problems

🤔 Part 3: Challenge Questions

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Decimals, Fractions and Percentages

Fractions, Decimals and Percentages

Fractions, Decimals and Percentages Practice

Fractions, Decimals and Percentages

Percentage Price Play

Percentages to Fractions Worksheet

Percentage Change Practice

Percentage, Fractions, Decimals Worksheet

Explore more free resources