Real-world Challenge & Extension: Percentage Increase
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 8 students on real-world applications of percentage increase, including multi-step problems, contextual scenarios, and extension questions.
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Real-world Challenge & Extension: Percentage Increase
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A store increases the price of a jacket from $80 to $96. Calculate the percentage increase in price.
[3 marks]2.
A company's sales increased by 15% last year, reaching $230,000. What were the sales before the increase?
[3 marks]3.
A cyclist's speed increased from 20 km/h to 24 km/h. Find the percentage increase in speed.
[2 marks]4.
Plot the graph of y=0.5x for x values from 0 to 10 on the grid.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems. Show your reasoning in the work space.
1.
A mobile phone plan costs $50 per month. Due to a promotion, the monthly cost is increased by 12%. What is the new monthly cost? How much more does the customer pay annually after the increase?
[4 marks]2.
A school's enrollment increased from 480 students to 576 students. Calculate the percentage increase in student numbers. If the school plans to increase enrollment by the same percentage next year, what will be the projected enrollment?
[4 marks]3.
A factory produces 1,200 units of a product last month. This month, production increased by 25%. How many units were produced this month? If the factory wants to reach 2,000 units next month, what percentage increase is needed?
[4 marks]C
Challenge & Extension
Tackle these higher-difficulty questions involving multiple steps or deeper reasoning.
1.
An investor's portfolio increased from $15,000 to $18,900 in a year. If they decide to withdraw 10% of the new total, what is the withdrawal amount? What is their remaining portfolio value? Express the total percentage change in the portfolio from start to after withdrawal.
[5 marks]2.
A retailer applies a 15% markup on the cost price to determine selling price. If an item is sold for $230, find the original cost price. Then, determine the percentage profit based on this cost price.
[4 marks]D
Mixed Review
Answer these questions to review your understanding of real-world percentage increase.
1.
A car's value depreciates by 10% annually. If its current value is $20,000, what was its value last year? What will be its value after two years of depreciation?
[3 marks]2.
Construct a triangle on the grid with sides representing a 30% increase, 50% increase, and the original lengths. Show the lengths and the percentage increases.
[3 marks]E
Error Analysis
Below are common mistakes in percentage increase calculations. Review and identify what is incorrect or how to correct it.
1.
A student calculated the percentage increase from $50 to $75 as 50%. Identify the mistake and provide the correct percentage increase.
[2 marks]2.
A person states that a 20% increase on $200 results in $40 increase. Is this correct? Explain and correct if necessary.
[2 marks]Quick Actions
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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet