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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

Jimmy is ordering the t-shirts for the community choir which has 240 members.

He asks a sample of 36 members what colour the t-shirts should be. Each members chooses one colour.

The table shows information about his results.

Colour Number of members
Blue 6
Red 3
Green 7
Yellow 5
Purple 2
Black 6
White 7

(a) Work out how many of the 240 members you think will want black t-shirts.

(b) State any assumption you made and explain how this may affect your answer.


2.

IB Applications and Interpretation

The Student Council in a large school conducted a survey to find out how many classes assigned homework for students to complete.

The data is shown in the following table.

Number of classes with homework 0 1 2 3 4 5
Number of students 16 25 28 18 \(n\) 3

(a) State whether the data is discrete or continuous.

(b) Given that mean number of classes in which a student was given homework is 1.9; Find the value of \(n\).

The Student Council selected students at random from each Year Group to take part in this survey. The number of students selected from each Year Group was proportional to the number of students in that Year Group.

(c) Identify the sampling technique used in the survey.


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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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