Number, NAP_70059

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

650

Question

A class of 33 students is to be divided into smaller groups.

If each group is to contain 4, 5, or 6 people, what is the largest number of groups possible?

Worked Solution

The smallest group can be 4 students.

Largest number of groups = 7 × 4 + 1 × 5
= 33
= 7 groups of 4 and 1 group of 5

∴\therefore 8 groups is the largest number of groups

Question Type

Answer Box

Variables

Variable nameVariable value
question
A class of 33 students is to be divided into smaller groups. If each group is to contain 4, 5, or 6 people, what is the largest number of groups possible?
workedSolution
The smallest group can be 4 students.
||| |-|-| |Largest number of groups| = 7 × 4 + 1 × 5| ||= 33| ||= 7 groups of 4 and 1 group of 5| |||
$\therefore$ {{{correctAnswer0}}} groups is the largest number of groups
correctAnswer0
8
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer08

Variant 1

DifficultyLevel

648

Question

A class of 24 students is to be divided into smaller groups.

If each group is to contain 3, 4, or 6 students, what is the largest number of groups possible?

Worked Solution

The smallest group can be 3 students.
Largest number of groups = 8 ×\times 3
= 24
= 8 groups of 3

∴\therefore 8 groups is the largest number of groups.

Question Type

Answer Box

Variables

Variable nameVariable value
question
A class of 24 students is to be divided into smaller groups. If each group is to contain 3, 4, or 6 students, what is the largest number of groups possible?
workedSolution
The smallest group can be 3 students.
| | | | ----------------------------:| ------------------------ | | Largest number of groups | \= 8 $\times$ 3 | | | \= 24 | | | \= 8 groups of 3 |

$\therefore$ {{{correctAnswer0}}} groups is the largest number of groups.
correctAnswer0
8
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer08

Variant 2

DifficultyLevel

649

Question

A group of 30 swimmers is to be divided into smaller training squads.

If each squad is to contain 4, 5, or 6 swimmers, what is the largest number of squads possible?

Worked Solution

The smallest squad can be 5 swimmers.
Largest number of squads = 6 ×\times 5
= 30
= 6 squads of 5

∴\therefore 6 squads is the largest number of squads.

Question Type

Answer Box

Variables

Variable nameVariable value
question
A group of 30 swimmers is to be divided into smaller training squads. If each squad is to contain 4, 5, or 6 swimmers, what is the largest number of squads possible?
workedSolution
The smallest squad can be 5 swimmers.
| | | | ----------------------------:| ------------------------ | | Largest number of squads | \= 6 $\times$ 5 | | | \= 30 | | | \= 6 squads of 5 |

$\therefore$ {{{correctAnswer0}}} squads is the largest number of squads.
correctAnswer0
6
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

Variant 3

DifficultyLevel

652

Question

A group of 29 volunteers is to be divided into smaller working teams.

If each team is to contain 4, 5, or 6 volunteers, what is the largest number of teams possible?

Worked Solution

Testing possible combinations:
1 ×\times 4 + 5 ×\times 5 = 4 + 25 = 29, giving 6 teams
1 ×\times 5 + 4 ×\times 6 = 5 + 24 = 29, giving 5 teams
5 ×\times 4 + 1 ×\times 6 = 20 + 6 = 29 giving 6 teams

∴\therefore 6 teams is the largest number of teams.

Question Type

Answer Box

Variables

Variable nameVariable value
question
A group of 29 volunteers is to be divided into smaller working teams. If each team is to contain 4, 5, or 6 volunteers, what is the largest number of teams possible?
workedSolution
Testing possible combinations:
| | | | ------------------------:| ---------------------------------- | | 1 $\times$ 4 + 5 $\times$ 5 | \= 4 + 25 = 29, giving 6 teams | | 1 $\times$ 5 + 4 $\times$ 6 | \= 5 + 24 = 29, giving 5 teams | | 5 $\times$ 4 + 1 $\times$ 6 | \= 20 + 6 = 29 giving 6 teams |

$\therefore$ {{{correctAnswer0}}} teams is the largest number of teams.
correctAnswer0
6
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

Variant 4

DifficultyLevel

653

Question

A group of 34 students is to be divided into smaller project teams.

If each team is to contain 4, 5, or 6 students, what is the largest number of teams possible?

Worked Solution

Testing possible combinations:
1 ×\times 4 + 6 ×\times 5 = 4 + 30 = 34, giving 7 teams
4 ×\times 4 + 3 ×\times 6 = 16 + 18 = 34, giving 7 teams
2 ×\times 5 + 4 ×\times 6 = 10 + 24 = 34, giving 6 teams

∴\therefore 7 teams is the largest number of teams.

Question Type

Answer Box

Variables

Variable nameVariable value
question
A group of 34 students is to be divided into smaller project teams. If each team is to contain 4, 5, or 6 students, what is the largest number of teams possible?
workedSolution
Testing possible combinations:
| | | | ----------------------------------:| -------------------------------- | | 1 $\times$ 4 + 6 $\times$ 5 | \= 4 + 30 = 34, giving 7 teams | | 4 $\times$ 4 + 3 $\times$ 6 | \= 16 + 18 = 34, giving 7 teams | | 2 $\times$ 5 + 4 $\times$ 6 | \= 10 + 24 = 34, giving 6 teams |

$\therefore$ {{{correctAnswer0}}} teams is the largest number of teams.
correctAnswer0
7
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07

Variant 5

DifficultyLevel

654

Question

A group of 37 campers is to be divided into smaller activity groups.

If each group is to contain 4, 5, or 6 campers, what is the largest number of groups possible?

Worked Solution

Testing possible combinations:
3 ×\times 4 + 5 ×\times 5 = 12 + 25 = 37, giving 8 groups
1 ×\times 4 + 3 ×\times 5 + 1 ×\times 6 = 4 + 15 + 18 = 37, giving 5 groups
2 ×\times 4 + 1 ×\times 5 + 4 ×\times 6 = 8 + 5 + 24 = 37 giving 7 groups

∴\therefore 8 groups is the largest number of groups.

Question Type

Answer Box

Variables

Variable nameVariable value
question
A group of 37 campers is to be divided into smaller activity groups. If each group is to contain 4, 5, or 6 campers, what is the largest number of groups possible?
workedSolution
Testing possible combinations:
| | | | --------------------------------------------:| --------------------------------- | | 3 $\times$ 4 + 5 $\times$ 5 | \= 12 + 25 = 37, giving 8 groups | | 1 $\times$ 4 + 3 $\times$ 5 + 1 $\times$ 6 | \= 4 + 15 + 18 = 37, giving 5 groups | | 2 $\times$ 4 + 1 $\times$ 5 + 4 $\times$ 6 | \= 8 + 5 + 24 = 37 giving 7 groups |

$\therefore$ {{{correctAnswer0}}} groups is the largest number of groups.
correctAnswer0
8
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer08

Tags

  • staging_suejones