From Lists: Problem Solving & Reasoning
Mathematics
Grade 7
25 questions
~50 mins
1 views0 downloads
About This Worksheet
This worksheet explores calculating the mean (average) from lists through a variety of questions including practice, reasoning, real-world applications, and extension problems.
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From Lists: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the mean of the data set: 5, 8, 12, 7, 10.
[2 marks]2.
Calculate the mean for the list: 15, 20, 25, 20, 30.
[2 marks]3.
What is the mean of the numbers: 3, 7, 9, 4, 8?
[2 marks]4.
Calculate the average of the list: 10, 14, 12, 18.
[2 marks]5.
Find the mean of: 25, 30, 35, 40, 45.
[2 marks]6.
A student recorded test scores: 78, 85, 92, 88, 79. Find the mean score.
[2 marks]7.
The list of temperatures during the day was: 22°C, 24°C, 19°C, 23°C. What is the mean temperature?
[2 marks]8.
Calculate the mean of these numbers: 50, 60, 55, 65, 70.
[2 marks]9.
Given the list: 2, 4, 6, 8, 10, find the mean.
[2 marks]10.
What is the average of the list: 12, 15, 18, 21, 24?
[2 marks]11.
A class of 30 students has the following test scores: 70, 75, 80, 85, 90. Find the mean score.
[2 marks]12.
A list of daily sales (in units) for a store: 100, 120, 90, 110, 130. Calculate the mean sales.
[2 marks]B
Problem Solving & Reasoning
Answer the following multi-step problems. Show all your working clearly.
1.
A list of ages in a class is: 12, 13, 12, 14, 15. The teacher adds 2 years to each student's age. What is the new mean age?
[3 marks]2.
The test scores of five students are: 85, 90, 78, 92, 88. If one student scores 10 points less than their actual score, what is the new average?
[3 marks]3.
A list of weights (kg): 50, 55, 60, 65, 70. A new weight of 80 kg is added. What is the new mean weight?
[3 marks]4.
The list of daily expenses (in dollars): 40, 50, 45, 55, 60. If a student saves $10 from their daily expenses, what is the new mean?
[3 marks]C
Real-world Applications
Solve these word problems based on real-world contexts.
1.
A basketball team scored points in each game during a week: 80, 85, 78, 90, 88. What was their average score for the week?
[3 marks]2.
A factory produces the following number of units daily: 200, 220, 210, 230, 240. Find the average daily production.
[3 marks]D
Challenge & Extension
Attempt these challenging questions to deepen your understanding.
1.
Two lists of numbers are given: List A: 10, 20, 30, 40; List B: 20, 30, 40, 50. Find the mean of the combined list and compare it to the means of each list separately.
[3 marks]2.
A list of exam scores has an outlier: 55, 60, 65, 70, 95. Find the mean with and without the outlier, and explain the impact.
[4 marks]E
Mixed Review
Answer these questions to review your understanding of from lists.
1.
List: 3, 6, 9, 12, 15. Find the mean.
[2 marks]2.
The list of numbers: 5, 10, 15, 20, 25. What is the mean?
[2 marks]3.
List: 100, 200, 300, 400. Find the mean.
[2 marks]F
Error Analysis
Below are common mistakes made when calculating from lists. Identify and correct the errors.
1.
A student calculated the mean of 4, 8, 12, 16 as 10. Identify the mistake and find the correct mean.
[3 marks]2.
A list: 20, 30, 40, 50. A student divided the total sum by 3 instead of 4. Correct the error and find 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