Bece Model Questions Vol1 2024 Mathematics Question 2

Practice essay / theory question 2 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers Whole Numbers .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory
Topic: Whole Numbers
Question 2 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

A school has exactly 144 students who are to be divided into equal teams for the annual sports day. The organiser requires that: (i) the number of teams must be a divisor of 144; (ii) the number of teams must also be a multiple of 6; (iii) the size of each team (students per team) should be as large as possible while still satisfying (i) and (ii). Determine: (a) the number of teams, (b) the number of students in each team, (c) the greatest common divisor (GCD) of the two numbers found in (a) and (b), and (d) give a brief justification why this arrangement gives the maximum possible team size.

Question Parts

( a )
Find the number of teams that satisfies conditions (i) and (ii).
( b )
Calculate the number of students per team based on the answer to part (a).
( c )
Find the greatest common divisor (GCD) of the numbers obtained in (a) and (b).
( d )
Explain briefly why the arrangement found in (a) and (b) gives the maximum possible number of students per team.

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About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 2. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers Whole Numbers .

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