Number, NAPX-G4-CA23 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

651

Question

90−182+802490 - \dfrac{\sqrt{18^2 + 80^2}}{4} = ?

Calculate the exact value of ?.

Worked Solution

182+802=672418^2 + 80^2 = 6724

6742=82\sqrt{6742} = 82 (by trial and error)
∴ 90−182+8024\therefore\ 90 - \dfrac{\sqrt{18^2 + 80^2}}{4} = 90 −824- \dfrac{82}{4}
= 69.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
$90 - \dfrac{\sqrt{18^2 + 80^2}}{4}$ = ? Calculate the exact value of ?.
workedSolution
$18^2 + 80^2 = 6724$ $\sqrt{6742} = 82$ (by trial and error)
||| |-:|-| |$\therefore\ 90 - \dfrac{\sqrt{18^2 + 80^2}}{4}$|= 90 $- \dfrac{82}{4}$| ||= {{{correctAnswer0}}}|
correctAnswer0
69.5
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
correctAnswer069.5

Variant 1

DifficultyLevel

644

Question

73−162+302473 - \dfrac{\sqrt{16^2 + 30^2}}{4} = ?

Calculate the exact value of ?.

Worked Solution

162+302=115616^2 + 30^2 = 1156

1156=34\sqrt{1156} = 34 (by trial and error)
73−162+302473 - \dfrac{\sqrt{16^2 + 30^2}}{4} = 73 −344- \dfrac{34}{4}
= 64.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
$73 - \dfrac{\sqrt{16^2 + 30^2}}{4}$ = ? Calculate the exact value of ?.
workedSolution
$16^2 + 30^2 = 1156$ $\sqrt{1156} = 34$ (by trial and error)
||| |-:|-| |$73 - \dfrac{\sqrt{16^2 + 30^2}}{4}$|= 73 $- \dfrac{34}{4}$| ||= {{{correctAnswer0}}}|
correctAnswer0
64.5
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
correctAnswer064.5

Variant 2

DifficultyLevel

646

Question

110−82+1522110 - \dfrac{\sqrt{8^2 + 15^2}}{2} = ?

Calculate the exact value of ?.

Worked Solution

82+152=2898^2 + 15^2 = 289

289=17\sqrt{289} = 17 (by trial and error)
∴ 110−82+1522\therefore\ 110 - \dfrac{\sqrt{8^2 + 15^2}}{2} = 110 −172- \dfrac{17}{2}
= 101.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
$110 - \dfrac{\sqrt{8^2 + 15^2}}{2}$ = ? Calculate the exact value of ?.
workedSolution
$8^2 + 15^2 = 289$ $\sqrt{289} = 17$ (by trial and error)
||| |-:|-| |$\therefore\ 110 - \dfrac{\sqrt{8^2 + 15^2}}{2}$|= 110 $- \dfrac{17}{2}$| ||= {{{correctAnswer0}}}|
correctAnswer0
101.5
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
correctAnswer0101.5

Variant 3

DifficultyLevel

640

Question

108−162+1228108 - \dfrac{\sqrt{16^2 + 12^2}}{8} = ?

Calculate the exact value of ?.

Worked Solution

162+122=40016^2 + 12^2 = 400

400=20\sqrt{400} = 20 (by trial and error)
108−162+1228108 - \dfrac{\sqrt{16^2 + 12^2}}{8} = 108 −208- \dfrac{20}{8}
= 105.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
$108 - \dfrac{\sqrt{16^2 + 12^2}}{8}$ = ? Calculate the exact value of ?.
workedSolution
$16^2 + 12^2 = 400$ $\sqrt{400} = 20$ (by trial and error)
||| |-:|-| |$108 - \dfrac{\sqrt{16^2 + 12^2}}{8}$|= 108 $- \dfrac{20}{8}$| ||= {{{correctAnswer0}}}|
correctAnswer0
105.5
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
correctAnswer0105.5

Variant 4

DifficultyLevel

638

Question

47−102+242447 - \dfrac{\sqrt{10^2 + 24^2}}{4} = ?

Calculate the exact value of ?.

Worked Solution

102+242=67610^2 + 24^2 = 676

676=26\sqrt{676} = 26 (by trial and error)
47−102+242447 - \dfrac{\sqrt{10^2 + 24^2}}{4} = 47 −264- \dfrac{26}{4}
= 40.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
$47 - \dfrac{\sqrt{10^2 + 24^2}}{4}$ = ? Calculate the exact value of ?.
workedSolution
$10^2 + 24^2 = 676$ $\sqrt{676} = 26$ (by trial and error)
||| |-:|-| |$47 - \dfrac{\sqrt{10^2 + 24^2}}{4}$|= 47 $- \dfrac{26}{4}$| ||= {{{correctAnswer0}}}|
correctAnswer0
40.5
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
correctAnswer040.5

Variant 5

DifficultyLevel

636

Question

83−212+282483 - \dfrac{\sqrt{21^2 + 28^2}}{4} = ?

Calculate the exact value of ?.

Worked Solution

212+282=122521^2 + 28^2 = 1225

1225=35\sqrt{1225} = 35 (by trial and error)
83−212+282483 - \dfrac{\sqrt{21^2 + 28^2}}{4} = 83 −354- \dfrac{35}{4}
= 74.25

Question Type

Answer Box

Variables

Variable nameVariable value
question
$83 - \dfrac{\sqrt{21^2 + 28^2}}{4}$ = ? Calculate the exact value of ?.
workedSolution
$21^2 + 28^2 = 1225$ $\sqrt{1225} = 35$ (by trial and error)
||| |-:|-| |$83 - \dfrac{\sqrt{21^2 + 28^2}}{4}$|= 83 $- \dfrac{35}{4}$| ||= {{{correctAnswer0}}}|
correctAnswer0
74.25
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
correctAnswer074.25

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