Find New Amount: Error Analysis & Misconceptions
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on how to accurately find the new amount after a percentage increase, highlighting common misconceptions and errors.
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Find New Amount: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Read the key concept carefully before attempting the questions.
1.
To find the new amount after a percentage increase, use the formula: New Amount = Original Amount + (Original Amount × Percentage Increase).
0B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
An item costs $50. If its price increases by 10%, what is the new price?
[2 marks]2.
A salary of $2000 is increased by 15%. What is the new salary?
[2 marks]3.
Calculate the new value if a quantity of 80 increases by 20%.
[3 marks]4.
A school has 300 students. If the student population increases by 12%, what is the new total?
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning.
1.
A jacket originally costs $80. It is marked up by 25%. Later, a store offers a 10% discount on the increased price. What is the final price? Show your calculations.
[4 marks]2.
A company’s revenue of $5000 increases by 18%. Due to an error, a calculation was made as if the increase was only 8%. What was the incorrect revenue, and what is the correct revenue?
[4 marks]D
Real-world Applications
Apply your knowledge to practical scenarios.
1.
A shop sells a bicycle for $150. If the shop increases the price by 12% to cover higher costs, what is the new selling price?
[2 marks]2.
A farmer’s harvest increases in value from $2000 to a new amount after a 15% increase. What is the new value?
[2 marks]E
Challenge & Extension
Tackle these more difficult problems to extend your understanding.
1.
A car’s value decreases by 20% after an accident. If its current value is $12,000, what was its value before the decrease?
[3 marks]2.
A building’s area increases by 25% after renovation. If the area after renovation is 1250 square meters, what was the original area?
[3 marks]F
Mixed Review & Error Analysis
Identify common mistakes and correct the errors.
1.
A student calculates the new amount by multiplying the original amount by the percentage increase (e.g., 80 + 20% = 80 × 20). Explain why this method is incorrect and provide the correct approach.
[4 marks]2.
A mistake was made when calculating a 15% increase on $200. The answer obtained was $230. Identify and correct the mistake.
[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