S-curve: Real-world Applications in Sports & Fitness

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the S-curve in the context of sports and fitness, focusing on cumulative frequency graphs for Grade 6 students.

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S-curve: Real-world Applications in Sports & Fitness

Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A student records the number of push-ups they can do in a week. The data shows 5 push-ups on Monday, 8 on Tuesday, 12 on Wednesday, 15 on Thursday, 18 on Friday, and 20 on Saturday. Plot the cumulative frequency of push-ups over the week on the grid.
[3 marks]
2.
Calculate the total number of push-ups performed by the student over the week.
[2 marks]
3.
Construct an S-curve graph showing the cumulative number of laps a runner completes each day, starting with 2 laps on Monday, then increasing by 3 laps each subsequent day until Sunday.
[3 marks]
4.
Explain how the shape of an S-curve helps in understanding the progress of athletes over time.
[3 marks]
5.
A fitness trainer tracks the number of sit-ups completed by a group of students each week. The cumulative data forms an S-curve. If 50 sit-ups are completed in week 1 and the number increases by 10% weekly, what is the cumulative total after 4 weeks? Show your working.
[4 marks]
6.
Identify the common mistake in interpreting the steep part of an S-curve and suggest how to correct it.
[2 marks]
7.
In a study of athletes' weekly running distances, the cumulative graph is plotted. If the curve starts to plateau, what does this indicate about the athletes' training? Provide reasoning.
[3 marks]
8.
Calculate the approximate rate of increase in cumulative push-up counts between Wednesday and Friday, given data: Wednesday=12, Thursday=15, Friday=18.
[3 marks]
9.
A coach records the number of basketball free throws made by players over several sessions. The cumulative data forms an S-curve. If in session 1, the total is 10, and by session 5, it reaches 50, what is the average increase per session? Show your working.
[2 marks]
10.
Challenge: A runner's weekly mileage data shows an S-curve with a rapid increase in the middle weeks. How can this information be used to optimize training plans? Provide a brief explanation.
[3 marks]
11.
Identify a common mistake when plotting an S-curve from data points and how to avoid it.
[2 marks]

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Details

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