Algebra, NAP_30375

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

672

Question

The table below shows the relationship between the width of a tree's trunk in centimetres and how old it is in months.


Age in months 12 15 18 21 24
Width of trunk (cm) 6.375 6.5 6.625 6.75 6.875


If this pattern continues, how old would you expect a tree with a 714\frac{1}{4} cm wide trunk to be?

Worked Solution

Continuing the pattern adding 0.125:

Age in months 24 27 30 33
Width of trunk (cm) 6.875 7 7.125 7.25


∴\therefore Expected age = 33 months

Question Type

Answer Box

Variables

Variable nameVariable value
question
The table below shows the relationship between the width of a tree's trunk in centimetres and how old it is in months.
>>| Age in months |12|15|18|21|24| |:-:|:-:|:-:|:-:|:-:|:-:| | Width of trunk (cm) | 6.375|6.5|6.625|6.75|6.875|

If this pattern continues, how old would you expect a tree with a 7$\frac{1}{4}$ cm wide trunk to be?
workedSolution
Continuing the pattern adding 0.125:
>>| Age in months | 24|27|30|33| |:-:|:-:|:-:|:-:|:-:| | Width of trunk (cm) | 6.875|7|7.125|7.25|

$\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
33
prefix0
suffix0
months

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
correctAnswer033

months

Variant 1

DifficultyLevel

674

Question

The table below shows the relationship between the length of a skink in centimetres and how old it is in months.


Age in months 4 6 8 10 12
Length (cm) 8.375 88.5 8.625 8.75 8.875


If this pattern continues, how old would you expect a 938\frac{3}{8} cm skink to be?

Worked Solution

Continuing the pattern adding 0.125:

Age in months 12 14 16 18 20
Length (cm) 8.875 9 9.125 9.250 9.375


∴\therefore Expected age = 20 months

Question Type

Answer Box

Variables

Variable nameVariable value
question
The table below shows the relationship between the length of a skink in centimetres and how old it is in months.
>>| Age in months | 4|6|8|10|12| |:-:|:-:|:-:|:-:|:-:|:-:| | Length (cm) | 8.375|88.5|8.625|8.75|8.875|

If this pattern continues, how old would you expect a 9$\frac{3}{8}$ cm skink to be?
workedSolution
Continuing the pattern adding 0.125:
>>| Age in months | 12|14|16|18|20| |:-:|:-:|:-:|:-:|:-:|:-:| | Length (cm) | 8.875|9|9.125|9.250|9.375|

$\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
20
prefix0
suffix0
months

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
correctAnswer020

months

Variant 2

DifficultyLevel

676

Question

The table below shows the relationship between the length of an axolotl in centimetres and how old it is in months.


Age in months 7 10 13 16 19
Length (cm) 2.7 2.9 3.1 3.3 3.5


If this pattern continues, how old would you expect a 4310\frac{3}{10} cm axolotl to be?

Worked Solution

Continuing the pattern adding 0.2:

Age in months 19 22 25 28 31
Length (cm) 3.5 3.7 3.9 4.1 4.3


∴\therefore Expected age = 31 months

Question Type

Answer Box

Variables

Variable nameVariable value
question
The table below shows the relationship between the length of an axolotl in centimetres and how old it is in months.
>>| Age in months | 7|10|13|16|19| |:-:|:-:|:-:|:-:|:-:|:-:| | Length (cm) | 2.7|2.9|3.1|3.3|3.5|

If this pattern continues, how old would you expect a 4$\frac{3}{10}$ cm axolotl to be?
workedSolution
Continuing the pattern adding 0.2:
>>| Age in months | 19|22|25|28|31| |:-:|:-:|:-:|:-:|:-:|:-:| | Length (cm) | 3.5|3.7|3.9|4.1|4.3|

$\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
31
prefix0
suffix0
months

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
correctAnswer031

months

Variant 3

DifficultyLevel

678

Question

The table below shows the relationship between the weight of a squirrel in grams and how old it is in days.


Age in days 2 4 6 8 10
Weight in grams (g) 15.8 16.1 16.4 16.7 17


If this pattern continues, how old would you expect a squirrel with a weight of 1815\frac{1}{5} g to be?

Worked Solution

Continuing the pattern adding 0.3:

Age in days 10 12 14 16 18
Weight in grams (g) 17 17.3 17.6 17.9 18.2


∴\therefore Expected age = 18 days

Question Type

Answer Box

Variables

Variable nameVariable value
question
The table below shows the relationship between the weight of a squirrel in grams and how old it is in days.
>>| Age in days| 2|4|6|8|10| |:-:|:-:|:-:|:-:|:-:|:-:| | Weight in grams (g) | 15.8|16.1|16.4|16.7|17|

If this pattern continues, how old would you expect a squirrel with a weight of 18$\frac{1}{5}$ g to be?
workedSolution
Continuing the pattern adding 0.3:
>>| Age in days| 10|12|14|16|18| |:-:|:-:|:-:|:-:|:-:|:-:| | Weight in grams (g) | 17|17.3|17.6|17.9|18.2|

$\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
18
prefix0
suffix0
days

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

days

Variant 4

DifficultyLevel

680

Question

The table below shows the relationship between the height of a mushroom in millimetres and how old it is in days.


Age in days 20 24 28 32 36
Height of mushroom (mm) 30.125 30.5 30.875 31.25 31.625


If this pattern continues, how old would you expect a mushroom with a height of 3234\frac{3}{4} mm to be?

Worked Solution

Continuing the pattern adding 0.375:

Age in days 36 40 44 48
Height of mushroom (mm) 31.625 32 32.375 32.75


∴\therefore Expected age = 48 days

Question Type

Answer Box

Variables

Variable nameVariable value
question
The table below shows the relationship between the height of a mushroom in millimetres and how old it is in days.
>>| Age in days| 20|24|28|32|36| |:-:|:-:|:-:|:-:|:-:|:-:| | Height of mushroom (mm) | 30.125|30.5|30.875|31.25|31.625|

If this pattern continues, how old would you expect a mushroom with a height of 32$\frac{3}{4}$ mm to be?
workedSolution
Continuing the pattern adding 0.375:
>>| Age in days| 36|40|44|48| |:-:|:-:|:-:|:-:|:-:| | Height of mushroom (mm)| 31.625| 32|32.375|32.75|

$\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}
correctAnswer0
48
prefix0
suffix0
days

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
correctAnswer048

days

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