Max - Min: Problem Solving & Reasoning

Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating and applying the concept of Max - Min (Range) through problem solving and reasoning tasks suitable for GCSE Foundation students.

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Max - Min: 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 range of the data set: 12, 15, 9, 20, 17.
[2 marks]
2.
Find the maximum and minimum values in the set: 7, 13, 5, 19, 11. Then compute the range.
[3 marks]
3.
A students' test scores are: 65, 70, 58, 72, 69. Calculate the range of their scores.
[2 marks]
4.
Fluency & Practice: The ages of five friends are 12, 15, 14, 16, and 13. Find the range of their ages.
[2 marks]
5.
What is the range of the following set of data: 23, 27, 19, 31, 25?
[2 marks]
6.
Problem Solving & Reasoning: A factory produces items with weights (in grams): 150, 155, 148, 160, 152. The manager wants to know the range to ensure quality control. Calculate it and explain its significance.
[4 marks]
7.
Construct a data set of five numbers where the range is 20. Provide the numbers.
[3 marks]
8.
In a class of 30 students, the marks obtained in a test are: 45, 50, 55, 60, 65, 70. Calculate the range and identify possible reasons for the range you find.
[4 marks]
9.
Challenge & Extension: Find a set of six numbers where the maximum is 100, the minimum is 70, and the range is exactly 30. List one possible set.
[3 marks]
10.
Error Analysis: A student calculates the range of data set 8, 12, 15, 20, 25 as 20. Identify the mistake and correct it.
[4 marks]

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Details

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