Number_gap-2026_662

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

662

Question

The value of 0.25\sqrt{0.25} is

Give your answer as a decimal.

Worked Solution
0.25\sqrt{0.25} = 25100\sqrt{\dfrac{25}{100}}
= 25100\dfrac{\sqrt{25}}{\sqrt{100}}
= 510\dfrac{5}{10}
= 0.5

Question Type

Answer Box

Variables

Variable nameVariable value
question
The value of $\sqrt{0.25}$ is Give your answer as a decimal.
workedSolution
| | | | ------------------:| ---------------------------------------- | | $\sqrt{0.25}$ | \= $\sqrt{\dfrac{25}{100}}$ | | | \= $\dfrac{\sqrt{25}}{\sqrt{100}}$ | | | \= $\dfrac{5}{10}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.5
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
correctAnswer00.5

Variant 1

DifficultyLevel

663

Question

The value of 0.49\sqrt{0.49} is

Give your answer as a decimal.

Worked Solution
0.49\sqrt{0.49} = 49100\sqrt{\dfrac{49}{100}}
= 49100\dfrac{\sqrt{49}}{\sqrt{100}}
= 710\dfrac{7}{10}
= 0.7

Question Type

Answer Box

Variables

Variable nameVariable value
question
The value of $\sqrt{0.49}$ is Give your answer as a decimal.
workedSolution
| | | | ------------------:| ---------------------------------------- | | $\sqrt{0.49}$ | \= $\sqrt{\dfrac{49}{100}}$ | | | \= $\dfrac{\sqrt{49}}{\sqrt{100}}$ | | | \= $\dfrac{7}{10}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.7
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
correctAnswer00.7

Variant 2

DifficultyLevel

664

Question

The value of 0.0036\sqrt{0.0036} is

Give your answer as a decimal.

Worked Solution
0.0036\sqrt{0.0036} = 3610000\sqrt{\dfrac{36}{10000}}
= 3610000\dfrac{\sqrt{36}}{\sqrt{10000}}
= 6100\dfrac{6}{100}
= 0.06

Question Type

Answer Box

Variables

Variable nameVariable value
question
The value of $\sqrt{0.0036}$ is Give your answer as a decimal.
workedSolution
| | | | ------------------:| ---------------------------------------- | | $\sqrt{0.0036}$ | \= $\sqrt{\dfrac{36}{10000}}$ | | | \= $\dfrac{\sqrt{36}}{\sqrt{10000}}$ | | | \= $\dfrac{6}{100}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.06
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
correctAnswer00.06

Variant 3

DifficultyLevel

665

Question

The value of 0.0144\sqrt{0.0144} is

Give your answer as a decimal.

Worked Solution
0.0144\sqrt{0.0144} = 14410000\sqrt{\dfrac{144}{10000}}
= 14410000\dfrac{\sqrt{144}}{\sqrt{10000}}
= 12100\dfrac{12}{100}
= 0.12

Question Type

Answer Box

Variables

Variable nameVariable value
question
The value of $\sqrt{0.0144}$ is Give your answer as a decimal.
workedSolution
| | | | ------------------:| ---------------------------------------- | | $\sqrt{0.0144}$ | \= $\sqrt{\dfrac{144}{10000}}$ | | | \= $\dfrac{\sqrt{144}}{\sqrt{10000}}$ | | | \= $\dfrac{12}{100}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.12
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
correctAnswer00.12

Variant 4

DifficultyLevel

666

Question

The value of 0.0225\sqrt{0.0225} is

Give your answer as a decimal.

Worked Solution
0.0225\sqrt{0.0225} = 22510000\sqrt{\dfrac{225}{10000}}
= 22510000\dfrac{\sqrt{225}}{\sqrt{10000}}
= 15100\dfrac{15}{100}
= 0.15

Question Type

Answer Box

Variables

Variable nameVariable value
question
The value of $\sqrt{0.0225}$ is Give your answer as a decimal.
workedSolution
| | | | ------------------:| ---------------------------------------- | | $\sqrt{0.0225}$ | \= $\sqrt{\dfrac{225}{10000}}$ | | | \= $\dfrac{\sqrt{225}}{\sqrt{10000}}$ | | | \= $\dfrac{15}{100}$ | | | \= {{{correctAnswer0}}} |
correctAnswer0
0.15
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
correctAnswer00.15

Tags

  • staging_suejones