Growth Formula: Real-world Applications in Medicine & Health
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the Growth Formula within real-world contexts related to Medicine & Health, exploring compound interest growth over time.
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Growth Formula: Real-world Applications in Medicine & Health
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key formula for growth: Final amount = Initial amount × (1 + rate/100)^time. Use this to solve the following questions involving growth over time.
B
Practice Questions
Answer all questions. Show your working clearly in the grid spaces provided.
1.
A patient’s medicine dosage increases by 5% annually due to weight gain. If the initial dose is 200mg, what will be the dose after 3 years?
[3 marks]2.
Calculate the final amount of a vaccine stock valued at £10,000 if it appreciates by 4% per year over 5 years.
[3 marks]3.
In a health study, a bacterial population grows by 8% annually. If the initial population is 500 bacteria, what is the population after 2 years?
[2 marks]4.
A hospital’s equipment value increases by 3.5% annually. If the equipment is worth £50,000 now, what will its value after 4 years?
[2 marks]5.
A health charity invests £20,000 in a fund that grows at 6% annually. How much will it be worth after 7 years?
[3 marks]6.
A drug’s effectiveness improves by 2.5% per year due to ongoing research. If the initial effectiveness score is 80, what will it be after 4 years?
[2 marks]7.
A health monitor records a patient’s blood pressure level that increases by 1.2% annually. If the initial reading is 120 mm Hg, what is the reading after 5 years?
[2 marks]8.
A medical equipment company’s revenue grows by 7% annually. If this year's revenue is £1,000,000, what will it be in 3 years?
[3 marks]9.
A patient’s insulin resistance level decreases by 4% annually due to treatment. If their initial resistance level is 150 units, what will it be after 4 years?
[2 marks]10.
A vaccination stock increases by 10% each year. If a hospital starts with 500 doses, how many doses will they have after 6 years?
[2 marks]11.
A machine used in health diagnostics depreciates by 6% annually. If its current value is £25,000, what is its value after 5 years?
[3 marks]12.
Error analysis: A student calculates the future value of an investment as £12,000 instead of the correct £12,600 after 4 years at 3% interest. Identify and correct the mistake.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet