Word Problems: Challenge & Extension
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on solving word problems involving the calculation of mean (average) in various real-world contexts. Designed to develop procedural skills, reasoning, and application at GCSE Foundation level.
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Full preview • 10 questions
Word Problems: Challenge & Extension
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.
A class of 30 students has the following number of books read in the past month: 5, 7, 8, 6, 9, 4, 7, 8, 5, 6, 7, 8, 5, 6, 9, 7, 8, 5, 6, 7, 8, 5, 6, 9, 7, 8, 5, 6, 7. Calculate the mean number of books read per student.
[3 marks]2.
The average score of 20 students in a test is 72. If 5 students scored 68, what is the average score of the remaining students?
[3 marks]3.
A factory produces 150 widgets each day. Over a week, the number of defective widgets each day is: 4, 6, 5, 3, 4, 5, 4. Find the average number of defective widgets per day.
[2 marks]4.
A basketball team’s points per game over 10 matches are: 102, 98, 105, 110, 95, 99, 101, 103, 97, 100. What is the mean score per game?
[2 marks]5.
In a survey, the average time taken by 15 people to complete a task is 45 minutes. If 5 people took 50 minutes each, what was the average time taken by the remaining 10 people?
[3 marks]6.
The heights (in cm) of 8 students are: 150, 155, 160, 150, 165, 155, 160, 150. Find the mean height.
[2 marks]7.
A fruit seller has 120 apples. On Monday, he sells 30, on Tuesday 25, and on Wednesday 20 apples. If he plans to sell the same number of apples on Thursday and Friday, what should be the average number of apples sold on Thursday and Friday combined to reach an overall weekly average of 40 apples per day?
[4 marks]8.
A school wants to ensure the class average for a math test is at least 75. If 25 students have scored an average of 72, what score must the remaining students achieve to reach this target, assuming there are 30 students in total?
[4 marks]9.
A company’s monthly sales (in units) for 6 months are: 500, 550, 520, 580, 510, 530. Calculate the mean monthly sales. Then, if in the next month the sales increase by 10%, what will be the new average including that month?
[4 marks]10.
Identify and correct the mistake in this student's calculation: 'The total of the scores is 720, and there are 12 students, so the mean score is 720 ÷ 12 = 60.' The student then states the correct mean is 60. Is this correct? Why or why not?
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet