From Lists: Challenge & Extension
Mathematics
Year 9
20 questions
~40 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the mean from lists, designed for challenge and extension. Suitable for Year 9 students to develop procedural skills and reasoning.
Worksheet Preview
Full preview • 20 questions
From Lists: Challenge & Extension
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the mean of the following list of numbers: 12, 15, 20, 25, 30.
[2 marks]2.
Find the mean of the list: 8, 10, 12, 14, 16, 18.
[2 marks]3.
A list of test scores is: 65, 70, 75, 80, 85. Calculate the mean score.
[2 marks]4.
Determine the mean of the list: 5, 10, 15, 20, 25, 30.
[2 marks]5.
Calculate the mean of the following list: 4, 8, 12, 16, 20, 24.
[2 marks]6.
A list of data: 3, 6, 9, 12, 15, 18. Find the mean.
[2 marks]7.
A class has test scores: 55, 60, 65, 70, 75. What is the mean score?
[2 marks]8.
List: 11, 13, 15, 17, 19, 21. Find the mean.
[2 marks]9.
The data set is: 2, 4, 6, 8, 10, 12. Calculate the mean.
[2 marks]10.
List of ages: 22, 25, 27, 30, 32. Find the mean age.
[2 marks]11.
The list of daily temperatures is: 20°C, 22°C, 24°C, 26°C, 28°C. Find the mean temperature.
[2 marks]12.
A list contains: 18, 21, 24, 27, 30. Calculate the mean.
[2 marks]B
Problem Solving & Reasoning
Answer the following multi-step problems, explaining your reasoning clearly.
1.
The list of test scores is: 70, 75, 80, 85, 90. A new student scores 95. What is the new mean? Show your working.
[4 marks]2.
A class has 30 students with scores listed as: 60, 65, 70, 75, 80. The teacher adds a new student with a score of 85. How does this change the average score? Explain your reasoning.
[4 marks]3.
Given the list: 12, 15, 18, 21, 24. A student mistakenly adds an extra 5 to the list. How does this mistake affect the calculated mean? Show the correct and incorrect calculations.
[4 marks]C
Real-world Applications
Solve these practical problems involving lists and mean calculations.
1.
A sports team’s scores over 5 games are: 10, 15, 20, 15, 25. What is the average score? How might this information help the coach?
[3 marks]D
Challenge & Extension
Attempt these more difficult or extended problems involving lists and mean calculations.
1.
You have two lists: List A: 5, 10, 15 and List B: 20, 25, 30. Find the combined mean of both lists combined. Show your working.
[4 marks]2.
A data set has an outlier value that skews the mean. The list is: 10, 12, 14, 16, 100. How does the outlier affect the mean? Calculate the mean with and without the outlier and explain.
[4 marks]E
Mixed Review & Error Analysis
Answer these variety of questions, including identifying and correcting common errors.
1.
A student calculates the mean of 5, 10, 15, 20 as 12. Why is this incorrect? Correct the mistake and find the correct mean.
[3 marks]2.
List: 8, 12, 16, 20, 24. Calculate the mean. Now, if one value is misread as 25 instead of 24, how does that affect the mean?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet