Building Up: Fluency & Practice

Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focused on building up skills in interpreting and constructing cumulative frequency tables, with increasing difficulty and real-world contexts.

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Full preview • 10 questions

Building Up: Fluency & Practice

Subject: MathematicsGrade: GCSE Foundation
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Date:
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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 group of students' test scores are recorded in a frequency table. Complete the cumulative frequency column.
[2 marks]
2.
Using the cumulative frequency table, find the median score.
[3 marks]
3.
Construct a cumulative frequency table for the following data: 8, 12, 15, 10, 20, 18, 22.
[3 marks]
4.
Plot the cumulative frequency graph for a dataset where the cumulative frequency at scores 10, 20, 30, 40 are 5, 15, 25, 30 respectively.
[4 marks]
5.
A cumulative frequency table shows that 40 students scored less than 70. If 120 students took the test, estimate how many scored above 85.
[3 marks]
6.
Explain how building up a cumulative frequency table helps in finding the interquartile range.
[3 marks]
7.
A dataset has the following frequencies: 5, 8, 12, 7, 10. Construct the cumulative frequency table and find the total number of data points.
[3 marks]
8.
Given the cumulative frequency table, identify and correct the mistake if the cumulative frequency at the highest score is less than the total number of data points.
[2 marks]
9.
A cumulative frequency graph is drawn incorrectly, with the graph decreasing at some points. What mistake might have caused this?
[2 marks]
10.
A student is asked to find the score corresponding to the 75th percentile. Describe the steps they should take using a cumulative frequency table.
[3 marks]

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Details

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