Number, 234567890
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
Variant 0
DifficultyLevel
710
Question
Barney was picking fruit from his citrus trees.
Exactly 40% of the fruit he picked were lemons.
What is the smallest number of lemons that he could have picked?
Worked Solution
|
|
| Fraction of lemons |
= 10040 |
|
= 52 |
⇒ Smallest number of citrus picked = 5
∴ Smallest number of lemons picked = 2
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Barney was picking fruit from his citrus trees.
Exactly 40% of the fruit he picked were lemons.
What is the smallest number of lemons that he could have picked? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
| Fraction of lemons | \= $\dfrac{40}{100}$ |
| | \= $\dfrac{2}{5}$ |
$\Rightarrow$ Smallest number of citrus picked \= 5
$\therefore$ Smallest number of lemons picked \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 2 | |
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
Variant 1
DifficultyLevel
708
Question
Po was slicing tomatoes in her restaurant.
Exactly 55% of the tomatoes have been sliced.
What is the smallest number of tomatoes that she could have already sliced?
Worked Solution
|
|
| Fraction of tomatoes sliced |
= 10055 |
|
= 2011 |
⇒ Smallest number of tomatoes to be sliced = 20
∴ Smallest number of tomatoes already sliced = 11
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Po was slicing tomatoes in her restaurant.
Exactly 55% of the tomatoes have been sliced.
What is the smallest number of tomatoes that she could have already sliced? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
|Fraction of tomatoes sliced | \= $\dfrac{55}{100}$ |
| | \= $\dfrac{11}{20}$ |
$\Rightarrow$ Smallest number of tomatoes to be sliced \= 20
$\therefore$ Smallest number of tomatoes already sliced \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 11 | |
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
Variant 2
DifficultyLevel
706
Question
Jessie was laying floor tiles in his bathroom.
Exactly 46% of the tiles have been laid.
What is the smallest number of tiles that he could have already laid?
Worked Solution
|
|
| Fraction of tiles |
= 10046 |
|
= 5023 |
⇒ Smallest number of tiles to be laid = 50
∴ Smallest number of tiles already laid = 23
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Jessie was laying floor tiles in his bathroom.
Exactly 46% of the tiles have been laid.
What is the smallest number of tiles that he could have already laid? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
| Fraction of tiles | \= $\dfrac{46}{100}$ |
| | \= $\dfrac{23}{50}$ |
$\Rightarrow$ Smallest number of tiles to be laid \= 50
$\therefore$ Smallest number of tiles already laid \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 23 | |
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
Variant 3
DifficultyLevel
704
Question
Joyce was collecting shells on the beach.
Exactly 18% of the shells were pippies.
What is the smallest number of pippies that she could have collected?
Worked Solution
|
|
| Fraction of shells |
= 10018 |
|
= 509 |
⇒ Smallest number of shells collected = 50
∴ Smallest number of pippies collected = 9
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Joyce was collecting shells on the beach.
Exactly 18% of the shells were pippies.
What is the smallest number of pippies that she could have collected? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
| Fraction of shells| \= $\dfrac{18}{100}$ |
| | \= $\dfrac{9}{50}$ |
$\Rightarrow$ Smallest number of shells collected \= 50
$\therefore$ Smallest number of pippies collected \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 9 | |
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
Variant 4
DifficultyLevel
702
Question
Ali was scuba diving on the Barrier Reef.
Exactly 45% of the sharks he sighted were reef sharks.
What is the smallest number of reef sharks that he could have sighted?
Worked Solution
|
|
| Fraction of sharks |
= 10045 |
|
= 209 |
⇒ Smallest number of sharks sighted = 20
∴ Smallest number of reef sharks sighted = 9
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Ali was scuba diving on the Barrier Reef.
Exactly 45% of the sharks he sighted were reef sharks.
What is the smallest number of reef sharks that he could have sighted? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
| Fraction of sharks| \= $\dfrac{45}{100}$ |
| | \= $\dfrac{9}{20}$ |
$\Rightarrow$ Smallest number of sharks sighted \= 20
$\therefore$ Smallest number of reef sharks sighted \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 9 | |
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
Variant 5
DifficultyLevel
700
Question
Aubrey recorded the whales he sighted in Hervey Bay during the month of June.
Exactly 72% of the whales he sighted were humpbacks.
What is the smallest number of humpbacks that he could have sighted?
Worked Solution
|
|
| Fraction of whales |
= 10072 |
|
= 2518 |
⇒ Smallest number of whales sighted = 25
∴ Smallest number of humpbacks sighted = 18
Question Type
Answer Box
Variables
| Variable name | Variable value |
| question | Aubrey recorded the whales he sighted in Hervey Bay during the month of June.
Exactly 72% of the whales he sighted were humpbacks.
What is the smallest number of humpbacks that he could have sighted? |
| workedSolution |
| | |
| ------------------------------ | ------------------------------------- |
| Fraction of whales| \= $\dfrac{72}{100}$ |
| | \= $\dfrac{18}{25}$ |
$\Rightarrow$ Smallest number of whales sighted \= 25
$\therefore$ Smallest number of humpbacks sighted \= {{{correctAnswer0}}}
|
| correctAnswer0 | |
| 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
| correctAnswerN | correctAnswerValue | Answer |
| correctAnswer0 | 18 | |