Plotting Midpoints: Mixed Review

Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet covering Plotting Midpoints for Frequency Polygons, including practice, reasoning, real-world problems, and extension questions.

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Plotting Midpoints: Mixed Review

Subject: MathematicsGrade: Grade 6
Name:
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.
Calculate the midpoint of the class interval 10-20.
[1 mark]
2.
Calculate the midpoint of the class interval 25-35.
[1 mark]
3.
Calculate the midpoint of the class interval 40-50.
[1 mark]
4.
Plot the midpoint of 10-20 on the graph paper.
[2 marks]
B

Fluency & Practice

Complete the following to practice plotting midpoints.
1.
Find the midpoints for class intervals: 0-10, 20-30, 30-40.
[3 marks]
2.
Plot midpoints 5, 25, and 35 on the grid.
[3 marks]
C

Problem Solving & Reasoning

Answer the questions with full explanations.
1.
A class interval of 15-25 has a frequency of 12. What is the midpoint? How is this midpoint used in plotting the frequency polygon?
[4 marks]
2.
Explain why midpoints are important when constructing frequency polygons.
[3 marks]
D

Real-world Applications

Solve the word problems using your understanding of midpoints.
1.
A survey recorded the ages of children in a class: 5-10, 10-15, 15-20, 20-25. The frequencies are 4, 8, 6, and 2 respectively. Calculate the midpoints and describe how these points would be used to draw a frequency polygon.
[5 marks]
E

Challenge & Extension

Tackle these more difficult problems to extend your understanding.
1.
Given class intervals 10-20, 20-30, 30-40 with frequencies 5, 15, and 10, calculate midpoints and explain how errors in midpoint calculation could affect the frequency polygon.
[4 marks]
F

Mixed Review

Answer these questions to review your understanding of plotting midpoints.
1.
Plot midpoints 10, 20, 30, and 40 on the grid. Connect the points to form a frequency polygon.
[2 marks]
2.
Identify and correct the mistake: A student calculated the midpoint of 5-15 as 12 instead of 10.
[2 marks]

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Details

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