Growth & Decay: Error Analysis & Misconceptions
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common misconceptions and error analysis related to exponential growth and decay graphs for Grade 8 students.
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Growth & Decay: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of y when y = 3 * (0.5)^x for x = 4.
[2 marks]2.
Plot the graph of y = 2^x for x from -2 to 3 on the grid.
[3 marks]3.
Evaluate y = 10 * (0.8)^x when x = 5.
[2 marks]4.
Construct an exponential decay graph for y = 50 * (0.9)^x for x from 0 to 10.
[3 marks]B
Problem Solving & Reasoning
Answer the following questions with detailed explanations.
1.
A bacteria culture doubles every 3 hours. If there are initially 200 bacteria, how many bacteria will there be after 12 hours? Explain your reasoning.
[4 marks]2.
A radioactive substance decays such that only 25% remains after 6 hours. Write an exponential decay formula for this process, and estimate the amount remaining after 10 hours.
[4 marks]C
Real-world Applications
Solve these contextual problems.
1.
A bank account earns 5% interest compounded annually. If you start with $1000, how much money will be in the account after 10 years? Use the exponential growth formula.
[4 marks]2.
A medicine reduces in effectiveness by 15% each hour. If the initial effectiveness is 100 units, what is its effectiveness after 4 hours?
[3 marks]D
Challenge & Extension
Attempt these advanced questions.
1.
Given the exponential decay function y = 80 * (0.7)^x, find the value of x when y = 10.
[3 marks]2.
A population of 500 decreases exponentially at a rate of 12% per year. Write the decay formula and estimate the population after 5 years.
[4 marks]E
Mixed Review & Error Analysis
Identify the mistake, correct it, and explain.
1.
A student plots y = 3 * (2)^x but claims this is exponential decay. Identify and correct the misconception.
[3 marks]2.
A graph shows y = 10 * (1.2)^x but is labeled as exponential decay. Find the error and describe the correct interpretation.
[3 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