Algebra, NAP_10055

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

458

Question

Using the table, a teacher allocates coloured pencils to class groups depending on the number of students in each group.


Number of
students in group		 Coloured
pencils
2 10
4 20
6 ?
8 40


Using the pattern in the table, how many pencils should a group of 6 students receive?

Worked Solution

The pattern shows that each student receives 5 coloured pencils.

Pieces = 5 ×\times 6 = 30


∴ A group of 6 will be given 30 pieces.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Using the table, a teacher allocates coloured pencils to class groups depending on the number of students in each group.
>>| Number of
students in group | Coloured
pencils| |:-:|:-:| | 2 | 10| | 4 | 20| | 6 | **?**| |8|40|

Using the pattern in the table, how many pencils should a group of 6 students receive?
workedSolution
The pattern shows that each student receives 5 coloured pencils. >>Pieces = 5 $\times$ 6 = {{{correctAnswer0}}}
∴ A group of 6 will be given {{{correctAnswer0}}} pieces.
correctAnswer0
30
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
correctAnswer030

Variant 1

DifficultyLevel

460

Question

Using the table, a soccer trainer allocates balls to teams depending on the number of players in each training group.


Number of
players in group		 Number of
balls
6 3
8 4
10 ?
12 6


Using the pattern in the table, how many balls should a training group of 10 players receive?

Worked Solution

The pattern shows that there is 1 ball for every 2 players.

Number of balls

= Players ÷\div 2

= 10 ÷\div 2

= 5


∴ A team of 10 will be given 5 balls.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Using the table, a soccer trainer allocates balls to teams depending on the number of players in each training group.
>>| Number of
players in group| Number of
balls | |:-:|:-:| | 6 | 3| | 8 | 4| | 10 | **?**| |12|6|

Using the pattern in the table, how many balls should a training group of 10 players receive?
workedSolution
The pattern shows that there is 1 ball for every 2 players. sm_nogap Number of balls >>= Players $\div$ 2 >>= 10 $\div$ 2 >> = {{{correctAnswer0}}}
∴ A team of 10 will be given {{{correctAnswer0}}} balls.
correctAnswer0
5
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
correctAnswer05

Variant 2

DifficultyLevel

464

Question

Using the table, a chef allocates cups of flour to a cupcake recipe depending on the number of cupcakes being baked.


Number of cupcakes
being baked		 Cups of
flour
12 2
24 4
36 ?
48 8


Using the pattern in the table, how many cups of flour should be allocated for a recipe making 36 cupcakes?

Worked Solution

The pattern shows that there is 1 cup of flour used for every 6 cupcakes baked

Cups of flour

= Cupcakes ÷\div 6

= 36 ÷\div 6

= 6


∴ A batch of 36 cupcakes will be allocated 6 cups of flour.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Using the table, a chef allocates cups of flour to a cupcake recipe depending on the number of cupcakes being baked.
>>| Number of cupcakes
being baked | Cups of
flour| |:-:|:-:| | 12 | 2| | 24 | 4| | 36 | **?**| |48|8|

Using the pattern in the table, how many cups of flour should be allocated for a recipe making 36 cupcakes?
workedSolution
The pattern shows that there is 1 cup of flour used for every 6 cupcakes baked sm_nogap Cups of flour >>= Cupcakes $\div$ 6 >>= 36 $\div$ 6 >> = {{{correctAnswer0}}}
∴ A batch of 36 cupcakes will be allocated {{{correctAnswer0}}} cups of flour.
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

465

Question

Using the table, a caterer allocates mini pies to groups depending on the number of people in each group.


Number of
people in group		 Number of
mini pies
4 16
6 24
8 ?
10 40


Using the pattern in the table, how many mini pies should a group of 8 people receive?

Worked Solution

The pattern shows that each person receives 4 mini pies.

Mini pies for 8 people = 4 ×\times 8 = 32


∴ A group of 8 will be given 32 mini pies.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Using the table, a caterer allocates mini pies to groups depending on the number of people in each group.
>>| Number of
people in group | Number of
mini pies| |:-:|:-:| | 4 | 16| | 6 | 24| | 8 | **?**| |10|40|

Using the pattern in the table, how many mini pies should a group of 8 people receive?
workedSolution
The pattern shows that each person receives 4 mini pies. >>Mini pies for 8 people = 4 $\times$ 8 = {{{correctAnswer0}}}
∴ A group of 8 will be given {{{correctAnswer0}}} mini pies.
correctAnswer0
32
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
correctAnswer032

Variant 4

DifficultyLevel

466

Question

Using the table, a Little Athletics coordinator allocates points depending on the number of events a competitor completes.


Number of
events		 Points
allocated
2 6
4 12
6 ?
8 24


Using the pattern in the table, how many points should a competitor completing 6 events receive?

Worked Solution

The pattern shows that each event receives 3 points.

Points = 3 ×\times 6 = 18


∴ A competitor completing 6 events will receive 18 points.

Question Type

Answer Box

Variables

Variable nameVariable value
question
Using the table, a Little Athletics coordinator allocates points depending on the number of events a competitor completes.
>>| Number of
events | Points
allocated| |:-:|:-:| | 2 | 6| | 4 | 12| | 6 | **?**| |8|24|

Using the pattern in the table, how many points should a competitor completing 6 events receive?
workedSolution
The pattern shows that each event receives 3 points. >>Points = 3 $\times$ 6 = {{{correctAnswer0}}}
∴ A competitor completing 6 events will receive {{{correctAnswer0}}} points.
correctAnswer0
18
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
correctAnswer018

Tags

  • staging_suejones