Mastering Fractions, Decimals & Percentages

Mathematics
GCSE Higher
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About This Worksheet

A worksheet covering Fractions, Decimals & Percentages for GCSE Higher students.

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Mastering Fractions, Decimals & Percentages

Subject: MathematicsGrade: GCSE Higher
Name:
Date:

Untitled Worksheet

Grade GCSE Higher
A

Introduction

Review the key concept: To convert between fractions, decimals, and percentages, use the formulas: fraction to decimal (divide numerator by denominator), decimal to percentage (multiply by 100), and percentage to fraction (divide percentage by 100).
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Convert the fraction 3/4 to a decimal.
[1 mark]
2.
Express 0.6 as a percentage.
[1 mark]
3.
Write 25% as a simplified fraction.
[1 mark]
4.
Calculate the decimal equivalent of 7/20.
[2 marks]
5.
Convert 0.45 to a percentage.
[1 mark]
6.
Express 3/8 as a decimal rounded to two decimal places.
[2 marks]
7.
If a jacket is discounted by 25%, what is its new price as a percentage of the original?
[3 marks]
8.
A student scores 80% on a test with 50 questions. How many questions did they answer correctly?
[2 marks]
9.
A recipe calls for 2/3 cup of sugar. Convert this to a decimal.
[1 mark]
10.
A shirt originally costs £40. It is now on sale at 30% off. What is the sale price?
[3 marks]
11.
A car's value decreases by 15% each year. If it was worth £20,000 initially, what is its value after 1 year?
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet