Midpoints: Problem Solving & Reasoning
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and applying midpoints in grouped data for GCSE Foundation students.
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Full preview • 10 questions
Midpoints: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the midpoint of the class interval 20-30.
[1 mark]2.
Find the midpoints for the following class intervals: 10-20, 30-40, 50-60.
[2 marks]3.
A grouped frequency table has class intervals 0-10, 10-20, 20-30. The frequencies are 5, 10, and 15 respectively. Calculate the estimated mean using midpoints.
[3 marks]4.
Plot the graph of y=2x for x values 0 to 10 on the grid.
[2 marks]5.
Construct a triangle with vertices at (2,3), (6,7), and (4,1) on the grid.
[2 marks]6.
The class intervals are 15-25, 25-35, 35-45 with frequencies 8, 12, and 10. Calculate the estimated mean of the data.
[3 marks]7.
Identify the common mistake in calculating the midpoint of 30-40 if a student gives 50.
[1 mark]8.
A class interval 40-50 has a frequency of 20. Midpoint is calculated as 45. If a student instead calculated it as 50, what is the error and how does it affect the estimated mean?
[3 marks]9.
The class intervals are 0-20, 20-40, 40-60, with frequencies 4, 8, and 12. Calculate the estimated mean, showing your working.
[4 marks]10.
Challenge: Given a grouped data table with class intervals 10-30, 30-50, 50-70, and frequencies 6, 9, and 15, find the estimated mean and explain your reasoning.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet