Statistics and Probability, NAPX-E4-NC19 SA, NAPX-E3-NC25 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

645

Question

Misty made 21 shakes at her friend's birthday party. Some were kale and some were spinach.

Barry randomly chose one shake and had a 1 in 7 chance of choosing a kale shake.

How many spinach shakes did Misty make?

Worked Solution

Number of kale shakes
= 17×21\dfrac{1}{7} \times 21
= 3

∴\therefore Number of spinach shakes
= 21 −- 3
= 18

Question Type

Answer Box

Variables

Variable nameVariable value
question
Misty made 21 shakes at her friend's birthday party. Some were kale and some were spinach. Barry randomly chose one shake and had a 1 in 7 chance of choosing a kale shake. How many spinach shakes did Misty make?
workedSolution
sm_nogap Number of kale shakes
>>|| |-| |= $\dfrac{1}{7} \times 21$| |= 3|

sm_nogap $\therefore$ Number of spinach shakes
>>|| |-| |= 21 $-$ 3| |= {{{correctAnswer0}}}|
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

Variant 1

DifficultyLevel

667

Question

Kellog made 120 cupcakes for his daughter's birthday party. Some were vanilla and the rest were chocolate.

If Kenny randomly chooses one cupcake, he has a 1 in 5 chance of choosing a chocolate cupcake.

How many vanilla cupcakes did Kellog make?

Worked Solution

Number of chocolate cupcakes
= 15×120\dfrac{1}{5} \times 120
= 24

∴\therefore Number of vanilla cupcakes
= 120 −- 24
= 96

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kellog made 120 cupcakes for his daughter's birthday party. Some were vanilla and the rest were chocolate. If Kenny randomly chooses one cupcake, he has a 1 in 5 chance of choosing a chocolate cupcake. How many vanilla cupcakes did Kellog make?
workedSolution
sm_nogap Number of chocolate cupcakes
>>|| |-| |= $\dfrac{1}{5} \times 120$| |= 24|

sm_nogap $\therefore$ Number of vanilla cupcakes
>>|| |-| |= 120 $-$ 24| |= {{{correctAnswer0}}}|
correctAnswer0
96
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
correctAnswer096

Variant 2

DifficultyLevel

644

Question

A lottery awarded 48 cash prizes that were vouchers for $25 or $50.

If Ronald won a prize, he had a 1 in 3 chance of winning a $50 voucher.

How many $25 voucher prizes were there?

Worked Solution

Number of $50 vouchers
= 13×48\dfrac{1}{3} \times 48
= 16

∴\therefore Number of $25 vouchers
= 48 −- 16
= 32

Question Type

Answer Box

Variables

Variable nameVariable value
question
A lottery awarded 48 cash prizes that were vouchers for $25 or $50. If Ronald won a prize, he had a 1 in 3 chance of winning a $50 voucher. How many $25 voucher prizes were there?
workedSolution
sm_nogap Number of $50 vouchers
>>|| |-| |= $\dfrac{1}{3} \times 48$| |= 16|

sm_nogap $\therefore$ Number of $25 vouchers
>>|| |-| |= 48 $-$ 16| |= {{{correctAnswer0}}}|
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 3

DifficultyLevel

654

Question

A dog breeder has 36 groodle puppies for sale. The puppies are either standard groodles or miniature groodles.

If Sheena randomly chooses one puppy, she has a 1 in 9 chance of choosing a miniature groodle.

How many standard groodle puppies does the breeder have for sale?

Worked Solution

Number of miniature groodles
= 19×36\dfrac{1}{9} \times 36
= 4

∴\therefore Number of standard groodles
= 36 −- 4
= 32

Question Type

Answer Box

Variables

Variable nameVariable value
question
A dog breeder has 36 groodle puppies for sale. The puppies are either standard groodles or miniature groodles. If Sheena randomly chooses one puppy, she has a 1 in 9 chance of choosing a miniature groodle. How many standard groodle puppies does the breeder have for sale?
workedSolution
sm_nogap Number of miniature groodles
>>|| |-| |= $\dfrac{1}{9} \times 36$| |= 4|

sm_nogap $\therefore$ Number of standard groodles
>>|| |-| |= 36 $-$ 4| |= {{{correctAnswer0}}}|
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

660

Question

A research study of one Powerful Owl found that it killed 72 possums over a 3 month period. The possums it killed were either Honey Possums or Brushtail Possums.

If the researcher looked at any individual kill, there was a 1 in 8 chance of it being a Honey Possum.

How many Brushtail Possums did the Powerful Owl kill over the course of this study?

Worked Solution

Number of Honey Possums
= 18×72\dfrac{1}{8} \times 72
= 9

∴\therefore Number of Brushtail Possums
= 72 −- 9
= 63

Question Type

Answer Box

Variables

Variable nameVariable value
question
A research study of one Powerful Owl found that it killed 72 possums over a 3 month period. The possums it killed were either Honey Possums or Brushtail Possums. If the researcher looked at any individual kill, there was a 1 in 8 chance of it being a Honey Possum. How many Brushtail Possums did the Powerful Owl kill over the course of this study?
workedSolution
sm_nogap Number of Honey Possums
>>|| |-| |= $\dfrac{1}{8} \times 72$| |= 9|

sm_nogap $\therefore$ Number of Brushtail Possums
>>|| |-| |= 72 $-$ 9| |= {{{correctAnswer0}}}|
correctAnswer0
63
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
correctAnswer063

Variant 5

DifficultyLevel

635

Question

Jessie caught 24 canetoads. Some were male and the rest were female.

If Jessie randomly inspected one of the canetoads, it had a 1 in 3 chance of being a male.

How many female canetoads did Jessie catch?

Worked Solution

Number of males
= 13×24\dfrac{1}{3} \times 24
= 8

∴\therefore Number of females
= 24 −- 8
= 16

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jessie caught 24 canetoads. Some were male and the rest were female. If Jessie randomly inspected one of the canetoads, it had a 1 in 3 chance of being a male. How many female canetoads did Jessie catch?
workedSolution
sm_nogap Number of males
>>|| |-| |= $\dfrac{1}{3} \times 24$| |= 8|

sm_nogap $\therefore$ Number of females
>>|| |-| |= 24 $-$ 8| |= {{{correctAnswer0}}}|
correctAnswer0
16
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
correctAnswer016

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