Finding % Change: Mixed Review

Mathematics
GCSE Foundation
16 questions
~32 mins
1 views0 downloads

About This Worksheet

A worksheet covering methods to find percentage change, including procedural questions, real-world applications, and challenging extension problems for GCSE Foundation students.

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Finding % Change: Mixed Review

Subject: MathematicsGrade: GCSE Foundation
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Date:
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the percentage change when a price increases from £50 to £65.
[2 marks]
2.
A student scores 72 marks out of 90 in a test. If their new score is 81 out of 90, what is the percentage increase?
[2 marks]
3.
A shop reduces its price from £120 to £96. Find the percentage decrease.
[2 marks]
4.
A car's value drops from £8000 to £7200. What is the percentage decrease?
[2 marks]
B

Target Level Practice

Answer all questions. Show your working in the grid spaces provided.
1.
A salary increases from £22000 to £24200. Calculate the percentage increase.
[3 marks]
2.
The weight of a bag decreases from 5.2kg to 4.6kg. Find the percentage decrease.
[3 marks]
3.
A company’s revenue increased from £150,000 to £165,000. What is the percentage change?
[3 marks]
4.
A population grew from 40,000 to 44,000. Find the percentage increase.
[3 marks]
5.
A machine’s operating time increases from 6 hours to 7.2 hours. Calculate the percentage increase.
[3 marks]
C

Problem Solving & Reasoning

Answer all questions. Provide detailed explanations in your working.
1.
A shop reduces its prices by 15%. If an item now costs £85, what was its original price? Show your working.
[4 marks]
2.
A population of a town decreased from 25,000 to 22,500. What is the percentage decrease? Explain your method.
[4 marks]
D

Real-world Applications

Answer all questions. Use the grid to illustrate your calculations where needed.
1.
A car's fuel efficiency improves from 30 mpg to 36 mpg. Find the percentage increase in efficiency.
[3 marks]
2.
A student’s score increased from 45 to 54 in a test. Calculate the percentage change. Illustrate your working on the grid.
[3 marks]
E

Challenge & Extension

Answer all questions. These are more advanced problems to deepen your understanding.
1.
An investment grows from £10,000 to £13,500 in 3 years. Calculate the average annual percentage increase assuming compound growth. Show your working.
[4 marks]
2.
A product's price increased by 25% and then decreased by 20%. What is the overall percentage change from the original price? Explain your reasoning.
[4 marks]
F

Error Analysis

Review the following common mistake. Identify the error and correct it.
1.
A student calculates a percentage increase of 25% from £80 to £100, but their answer is £110. What mistake might they have made? Correct the error and explain.
[4 marks]

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What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet