Comparing Groups: Challenge & Extension
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop skills in comparing groups using dual bar charts, including practice, problem solving, real-world applications, and extension questions.
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Full preview • 10 questions
Comparing Groups: Challenge & Extension
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A dual bar chart shows that 45 students prefer tea and 30 prefer coffee. What is the difference in the number of students?
[2 marks]2.
In a dual bar chart, if 60 students prefer basketball and 20 prefer football, what is the ratio of basketball to football preferences?
[2 marks]3.
A chart shows 80 students like cats and 40 like dogs. Calculate the percentage of students who prefer cats.
[3 marks]B
Problem Solving & Reasoning
Work through the multi-step problems carefully, explaining your reasoning.
1.
A dual bar chart compares two classes: Class A has 25 students liking math and 15 liking science. Class B has 30 liking math and 10 liking science. Which class shows a greater preference for science relative to their class size? Justify your answer.
[4 marks]2.
Using a dual bar chart, if 70 students prefer online learning and 35 prefer classroom learning, what is the percentage difference in preference? Show your working.
[4 marks]C
Real-world Applications
Apply your understanding to real-world context problems.
1.
A dual bar chart shows that 120 students prefer summer activities, with 80 preferring swimming and 40 preferring hiking. If the school plans to organize a combined event, what is the ratio of students who prefer swimming to those who prefer hiking? How many more students prefer swimming?
[3 marks]D
Challenge & Extension
Attempt these more challenging questions to extend your understanding.
1.
A dual bar chart indicates that 150 students are divided between two options: 90 prefer option X and 60 prefer option Y. If a new survey involves 200 students with the same preference ratio, how many students are expected to prefer option X and option Y? Show your work.
[4 marks]2.
Given a dual bar chart where the differences in group preferences are decreasing over time, describe two possible factors that could explain this trend and how it affects the interpretation of the data.
[4 marks]E
Mixed Review & Error Analysis
Review these questions that include common mistakes or mixed question types.
1.
A student calculates the difference between 70 and 50 as 25. Identify and correct the mistake.
[2 marks]2.
A dual bar chart shows that 100 students prefer reading and 60 prefer writing. If 20 students prefer both activities, what is the total number of students who prefer at least one of the activities? Show your calculations.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet