Formula m = (y₂-y₁)/(x₂-x₁): Real-world Applications in Medicine & Health

Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating gradients using the formula m = (y₂-y₁)/(x₂-x₁) with real-world contexts related to medicine and health.

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Formula m = (y₂-y₁)/(x₂-x₁): Real-world Applications in Medicine & Health

Subject: MathematicsGrade: Grade 7
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Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the gradient of the blood sugar level change over time if the blood sugar increased from 80 mg/dL to 140 mg/dL over a period of 4 hours.
[3 marks]
2.
A patient’s heart rate drops from 90 bpm to 60 bpm over 15 minutes. What is the rate of change of heart rate per minute?
[3 marks]
3.
Plot the graph of blood pressure readings (systolic) taken at 8AM (120 mmHg) and 2PM (140 mmHg). Use the grid for graphing.
[2 marks]
4.
The number of days a patient takes medication is plotted against the reduction in symptoms. If symptoms decrease from 8 units to 2 units over 10 days, find the gradient of this change.
[3 marks]
5.
A medicine’s effectiveness is measured by the reduction of symptoms over days. If the symptoms decrease from 15 to 3 over 6 days, what is the gradient of this decrease?
[3 marks]
6.
A patient’s cholesterol level drops from 220 mg/dL to 180 mg/dL over 5 weeks. Calculate the weekly rate of change.
[3 marks]
7.
In a clinical trial, the blood pressure of a patient increases from 130 mmHg to 150 mmHg over 3 hours. Find the gradient of this change.
[3 marks]
8.
A medication causes a decrease in pain level from 9 to 4 over 8 hours. Determine the rate of change of pain level per hour.
[3 marks]
9.
Identify and correct the mistake: A student calculates the gradient as (140 - 80) / (4 - 0) = 70, but the actual change was from 80 mg/dL to 140 mg/dL over 4 hours.
[4 marks]
10.
If a medication reduces blood sugar from 200 mg/dL to 150 mg/dL over 5 days, what is the average daily decrease in blood sugar levels?
[3 marks]
11.
A doctor records the change in patient’s blood pressure from 125 mmHg to 135 mmHg over 2 hours. Calculate the gradient of the blood pressure increase.
[3 marks]

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Details

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