MathsFreePrintable

Fractions and Percentages

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Fractions and Percentages worksheet preview

Fractions and Percentages

Fractions and percentages illustration

📊 Part 1: Converting Between Forms

1. Express 18 out of 30 students as a fraction in its simplest form and as a percentage.
2. Convert the following. Show your working:

a) 3/5 = _______ (decimal) = _______% (percentage)

b) 0.75 = _______ (fraction) = _______% (percentage)

c) 35% = _______ (decimal) = _______ (fraction)

3. Which of these are equivalent to 40%? Circle all correct answers.

2/5

0.4

4/10

0.04

40/100

🧮 Part 2: Finding Fractions and Percentages

4. Calculate the following:

a) What is 25% of 80 students? _______

b) What is 3/4 of $120? _______

c) What is 15% of 240 kilometres? _______

5. A shop sold 45 out of 150 T-shirts on sale day.

a) What fraction of the T-shirts were sold? (Simplify your answer) _______

b) What percentage of the T-shirts were sold? _______

6. Sarah scored 18 out of 25 on her maths test.

a) Express her score as a percentage: _______

b) If the pass mark is 60%, did Sarah pass? _______

📝 Part 3: Problem Solving and Reasoning

7. Draw a bar model to represent the following problem and solve it:

In a class of 32 students, 3/8 of them play rugby. How many students play rugby?

Answer: _______ students play rugby

8. A recipe calls for 350g of flour, but Jamie only has 245g. What percentage of the required flour does Jamie have?

Answer: _______%

9. Explain in your own words how you would convert a fraction to a percentage. Give an example to support your explanation.
10. Challenge: If 60% of a number is 42, what is the original number?

Answer: _______

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds