Warning (2): array_rand() expects parameter 1 to be array, null given [APP/Controller/Component/CommonComponent.php, line 314]
Code Context
                    {
                        $dem_array_trung++;
                        $value_rand = array_rand($array_system);
$clone = array(
	'id' => '4520',
	'chart' => '',
	'question_id' => '34977',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => 'In a $(cooking) class, $(f1) are $(males) and the <span style="color: #000000;">rest are</span> $(females). After $(n20) $(males) left the class, there are $(f2) as many $(males) as $(females). How many people were there in the $(cooking) class at first?',
	'clone_solution_step' => '<table style="height: 88px;" width="641">
<tbody>
<tr>
<td style="text-align: center;">&nbsp;</td>
<td style="text-align: center;">$(Females)</td>
<td style="text-align: center;">$(Males)</td>
</tr>
<tr>
<td style="text-align: center;">Before</td>
<td style="text-align: center;"><span style="color: #993300;">$(nn1)</span><sub>x$(l2) </sub>= <br />$(a1) u</td>
<td style="text-align: center;"><span style="color: #000000;">$(n3)</span><sub>x$(l2) </sub>= <br />$(b1) u</td>
</tr>
<tr>
<td style="text-align: center;">Change</td>
<td style="text-align: center;">&nbsp;&nbsp;</td>
<td style="text-align: center;">- $(n20)&nbsp;&nbsp;</td>
</tr>
<tr>
<td style="text-align: center;">After</td>
<td style="text-align: center;"><span style="color: #993300;">&nbsp;$(n2)</span><sub>x$(l1)</sub> = <br />$(a2) u</td>
<td style="text-align: center;"><span style="color: #000000;">$(n1)</span><sub>x$(l1)</sub> = <br />$(b2) u</td>
</tr>
</tbody>
</table>
<br />The number of $(females) remains unchanged.<br /><br />Change in the number of $(males) <br />= $(b1) u - $(b2) u<br />= $(gu) u<br /><br />$(gu) u = $(n20)<br />1 u = $(n20) &divide; $(gu) = $(1u)<br /><br />Number of&nbsp;people at first<br />= $(t) u<br />= $(t) x $(1u)<br />= $(n30)<br /><br />Answer(s): $(n30)',
	'clone_answer' => '$(n30)														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1513407166339 => object(stdClass) {}
		1513407176314 => object(stdClass) {}
		1513407195491 => object(stdClass) {}
		1515729306353 => object(stdClass) {}
		1513407214020 => object(stdClass) {}
		1517280683500 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2017-12-16 15:12:21',
	'modified' => '2018-02-21 10:20:26',
	'original_question' => 'In a cooking class, <span class="frac"><sup>3</sup><sub>4</sub></span> are males and the rest are female. After 20 males left the class, there are <span class="frac"><sup>1</sup><sub>2</sub></span> as many males as females. How many people were there in the cooking class at first?',
	'formula' => array(
		(int) 0 => 'array_capitalize(2,$(males))=$(Males) ',
		(int) 1 => 'array_capitalize(2,$(females))=$(Females) ',
		(int) 2 => 'get_numerator($(f1))=$(n3) ',
		(int) 3 => 'get_denominator($(f1))=$(n4)',
		(int) 4 => 'get_numerator($(f2))=$(n1) ',
		(int) 5 => 'get_denominator($(f2))=$(n2) ',
		(int) 6 => '$(n4) - $(n3) = $(nn1)',
		(int) 7 => 'get_lcm($(nn1),$(n2))=$(lcm)',
		(int) 8 => '$(lcm)/$(n2)=$(l1)',
		(int) 9 => '$(lcm)/$(nn1)=$(l2)',
		(int) 10 => '$(nn1)*$(l2) = $(a1)',
		(int) 11 => '$(n3)*$(l2) = $(b1)',
		(int) 12 => '$(n2)*$(l1) = $(a2)',
		(int) 13 => '$(n1)*$(l1) = $(b2)',
		(int) 14 => '$(b1) - $(b2) = $(gu)',
		(int) 15 => 'if(more_than($(gu)>1)) continue',
		(int) 16 => '$(b1) - $(b2) = $(gu)',
		(int) 17 => '$(1u) * $(gu) = $(n20)',
		(int) 18 => '$(n4)*$(l2) = $(t)',
		(int) 19 => '$(t) *$(1u) = $(n30)',
		(int) 20 => '',
		(int) 21 => '',
		(int) 22 => ''
	),
	'time_value' => array(
		(int) 0 => '1516176221503',
		(int) 1 => '1517289208650',
		(int) 2 => '1513408191396',
		(int) 3 => '1513407293719',
		(int) 4 => '1513407309744',
		(int) 5 => '1513407353111',
		(int) 6 => '1517280173854',
		(int) 7 => '1513407368812',
		(int) 8 => '1513407389481',
		(int) 9 => '1517242742090',
		(int) 10 => '1513407390151',
		(int) 11 => '1513407416432',
		(int) 12 => '1516529294600',
		(int) 13 => '1513407453326',
		(int) 14 => '1513407501591',
		(int) 15 => '1517282391705',
		(int) 16 => '1516176727730',
		(int) 17 => '1513407530992',
		(int) 18 => '1513407537309',
		(int) 19 => '1513407563144',
		(int) 20 => '1513407582419',
		(int) 21 => '1517221353582',
		(int) 22 => '1517242460477'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => '',
		(int) 17 => '',
		(int) 18 => '',
		(int) 19 => '',
		(int) 20 => '',
		(int) 21 => '',
		(int) 22 => ''
	),
	'type_criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => '',
		(int) 11 => '',
		(int) 12 => '',
		(int) 13 => '',
		(int) 14 => '',
		(int) 15 => '',
		(int) 16 => '',
		(int) 17 => '',
		(int) 18 => '',
		(int) 19 => '',
		(int) 20 => '',
		(int) 21 => '',
		(int) 22 => ''
	),
	'image_gridline' => '',
	'code_gridline' => '',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P4.FR.JM.17101799-A1',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","","","","","","","","","","","","","",""]',
	'original_solution' => 'Before<br /> Male : Female<br />3 : 4 - 3<br />3 : 1<br />6 : 2<br /> <br /> After<br /> Male : Female<br />1 : 2<br /> <br /> 6 u - 1 u = 20<br /> 5 u = 20<br /> 1 u = 20 &divide; 5 = 4<br /> <br /> Number of people at first<br /> = 6 u + 2 u<br /> = 8 u <br />= 8 x 4 <br />= 32<br /> <br /> Answer(s): 32',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '77'
	data => array()
	schemaName => 'ischoolb_orgi'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Array1'
	alias => 'Array1'
	tableToModel => array(
		'array1s' => 'Array1'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'content' => array(
			[maximum depth reached]
		),
		'note' => array(
			[maximum depth reached]
		),
		'created' => array(
			[maximum depth reached]
		),
		'modified' => array(
			[maximum depth reached]
		)
	)
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => true
	[protected] _eventManager => object(CakeEventManager) {}
	[protected] _validator => null
}
$Prime = object(AppModel) {
	useDbConfig => 'default'
	useTable => 'primes'
	id => false
	data => array()
	schemaName => null
	table => 'primes'
	primaryKey => 'id'
	validate => array()
	validationErrors => array()
	validationDomain => null
	plugin => null
	name => 'Prime'
	alias => 'Prime'
	tableToModel => array(
		'primes' => 'Prime'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => array()
	hasMany => array()
	hasAndBelongsToMany => array()
	actsAs => null
	Behaviors => object(BehaviorCollection) {}
	whitelist => array()
	cacheSources => true
	findQueryType => null
	recursive => (int) 1
	order => null
	virtualFields => array()
	__backAssociation => array()
	__backInnerAssociation => array()
	__backOriginalAssociation => array()
	__backContainableAssociation => array()
	__safeUpdateMode => false
	useConsistentAfterFind => true
	findMethods => array(
		'all' => true,
		'first' => true,
		'count' => true,
		'neighbors' => true,
		'list' => true,
		'threaded' => true
	)
	[protected] _schema => null
	[protected] _associationKeys => array(
		'belongsTo' => array(
			[maximum depth reached]
		),
		'hasOne' => array(
			[maximum depth reached]
		),
		'hasMany' => array(
			[maximum depth reached]
		),
		'hasAndBelongsToMany' => array(
			[maximum depth reached]
		)
	)
	[protected] _associations => array(
		(int) 0 => 'belongsTo',
		(int) 1 => 'hasOne',
		(int) 2 => 'hasMany',
		(int) 3 => 'hasAndBelongsToMany'
	)
	[protected] _insertID => null
	[protected] _sourceConfigured => false
	[protected] _eventManager => null
	[protected] _validator => null
}
$answer_fix = '$(n30)														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 1
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array()
$tempt = array(
	(int) 0 => '1/2',
	(int) 1 => '1/3',
	(int) 2 => '1/4',
	(int) 3 => '1/5',
	(int) 4 => '2/5',
	(int) 5 => '3/8',
	(int) 6 => '3/7'
)
$list_name_array = array(
	(int) 0 => 'females'
)
$list_array_item = array(
	'males' => array(
		'listArray' => array(
			(int) 0 => 'males',
			(int) 1 => 'females'
		),
		'keyArray' => (int) 1,
		'manyArray' => '2',
		'capitalize' => '2'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1513407166339 => object(stdClass) {}
	1513407176314 => object(stdClass) {}
	1513407195491 => object(stdClass) {}
	1515729306353 => object(stdClass) {}
	1513407214020 => object(stdClass) {}
	1517280683500 => object(stdClass) {}
}
$question_content = 'In a $(cooking) class, $(f1) are $(males) and the <span style="color: #000000;">rest are</span> $(females). After $(n20) $(males) left the class, there are $(f2) as many $(males) as $(females). How many people were there in the $(cooking) class at first?'
$solution_step = '<table style="height: 88px;" width="641">
<tbody>
<tr>
<td style="text-align: center;">&nbsp;</td>
<td style="text-align: center;">$(Females)</td>
<td style="text-align: center;">$(Males)</td>
</tr>
<tr>
<td style="text-align: center;">Before</td>
<td style="text-align: center;"><span style="color: #993300;">$(nn1)</span><sub>x$(l2) </sub>= <br />$(a1) u</td>
<td style="text-align: center;"><span style="color: #000000;">$(n3)</span><sub>x$(l2) </sub>= <br />$(b1) u</td>
</tr>
<tr>
<td style="text-align: center;">Change</td>
<td style="text-align: center;">&nbsp;&nbsp;</td>
<td style="text-align: center;">- $(n20)&nbsp;&nbsp;</td>
</tr>
<tr>
<td style="text-align: center;">After</td>
<td style="text-align: center;"><span style="color: #993300;">&nbsp;$(n2)</span><sub>x$(l1)</sub> = <br />$(a2) u</td>
<td style="text-align: center;"><span style="color: #000000;">$(n1)</span><sub>x$(l1)</sub> = <br />$(b2) u</td>
</tr>
</tbody>
</table>
<br />The number of $(females) remains unchanged.<br /><br />Change in the number of $(males) <br />= $(b1) u - $(b2) u<br />= $(gu) u<br /><br />$(gu) u = $(n20)<br />1 u = $(n20) &divide; $(gu) = $(1u)<br /><br />Number of&nbsp;people at first<br />= $(t) u<br />= $(t) x $(1u)<br />= $(n30)<br /><br />Answer(s): $(n30)'
$clone_answer = '$(n30)														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => 'array_capitalize(2,$(males))=$(Males) ',
	(int) 1 => 'array_capitalize(2,$(females))=$(Females) ',
	(int) 2 => 'get_numerator($(f1))=$(n3) ',
	(int) 3 => 'get_denominator($(f1))=$(n4)',
	(int) 4 => 'get_numerator($(f2))=$(n1) ',
	(int) 5 => 'get_denominator($(f2))=$(n2) ',
	(int) 6 => '$(n4) - $(n3) = $(nn1)',
	(int) 7 => 'get_lcm($(nn1),$(n2))=$(lcm)',
	(int) 8 => '$(lcm)/$(n2)=$(l1)',
	(int) 9 => '$(lcm)/$(nn1)=$(l2)',
	(int) 10 => '$(nn1)*$(l2) = $(a1)',
	(int) 11 => '$(n3)*$(l2) = $(b1)',
	(int) 12 => '$(n2)*$(l1) = $(a2)',
	(int) 13 => '$(n1)*$(l1) = $(b2)',
	(int) 14 => '$(b1) - $(b2) = $(gu)',
	(int) 15 => 'if(more_than($(gu)>1)) continue',
	(int) 16 => '$(b1) - $(b2) = $(gu)',
	(int) 17 => '$(1u) * $(gu) = $(n20)',
	(int) 18 => '$(n4)*$(l2) = $(t)',
	(int) 19 => '$(t) *$(1u) = $(n30)',
	(int) 20 => '',
	(int) 21 => '',
	(int) 22 => ''
)
$formula_1 = array(
	(int) 0 => 'array_capitalize(2,$(males))=$(Males) ',
	(int) 1 => 'array_capitalize(2,$(females))=$(Females) ',
	(int) 2 => 'get_numerator($(f1))=$(n3) ',
	(int) 3 => 'get_denominator($(f1))=$(n4)',
	(int) 4 => 'get_numerator($(f2))=$(n1) ',
	(int) 5 => 'get_denominator($(f2))=$(n2) ',
	(int) 6 => '$(n4) - $(n3) = $(nn1)',
	(int) 7 => 'get_lcm($(nn1),$(n2))=$(lcm)',
	(int) 8 => '$(lcm)/$(n2)=$(l1)',
	(int) 9 => '$(lcm)/$(nn1)=$(l2)',
	(int) 10 => '$(nn1)*$(l2) = $(a1)',
	(int) 11 => '$(n3)*$(l2) = $(b1)',
	(int) 12 => '$(n2)*$(l1) = $(a2)',
	(int) 13 => '$(n1)*$(l1) = $(b2)',
	(int) 14 => '$(b1) - $(b2) = $(gu)',
	(int) 15 => 'if(more_than($(gu)>1)) continue',
	(int) 16 => '$(b1) - $(b2) = $(gu)',
	(int) 17 => '$(1u) * $(gu) = $(n20)',
	(int) 18 => '$(n4)*$(l2) = $(t)',
	(int) 19 => '$(t) *$(1u) = $(n30)',
	(int) 20 => '',
	(int) 21 => '',
	(int) 22 => ''
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => '',
	(int) 17 => '',
	(int) 18 => '',
	(int) 19 => '',
	(int) 20 => '',
	(int) 21 => '',
	(int) 22 => ''
)
$type_criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => '',
	(int) 11 => '',
	(int) 12 => '',
	(int) 13 => '',
	(int) 14 => '',
	(int) 15 => '',
	(int) 16 => '',
	(int) 17 => '',
	(int) 18 => '',
	(int) 19 => '',
	(int) 20 => '',
	(int) 21 => '',
	(int) 22 => ''
)
$time_value = array(
	(int) 0 => '1516176221503',
	(int) 1 => '1517289208650',
	(int) 2 => '1513408191396',
	(int) 3 => '1513407293719',
	(int) 4 => '1513407309744',
	(int) 5 => '1513407353111',
	(int) 6 => '1517280173854',
	(int) 7 => '1513407368812',
	(int) 8 => '1513407389481',
	(int) 9 => '1517242742090',
	(int) 10 => '1513407390151',
	(int) 11 => '1513407416432',
	(int) 12 => '1516529294600',
	(int) 13 => '1513407453326',
	(int) 14 => '1513407501591',
	(int) 15 => '1517282391705',
	(int) 16 => '1516176727730',
	(int) 17 => '1513407530992',
	(int) 18 => '1513407537309',
	(int) 19 => '1513407563144',
	(int) 20 => '1513407582419',
	(int) 21 => '1517221353582',
	(int) 22 => '1517242460477'
)
$k = '1515729306353'
$v = object(stdClass) {
	cate => 'items'
	name => 'cooking'
	range => '77'
	attr => object(stdClass) {}
}
$array_system = null
$dem_array_trung = (int) 1
$value_rand_check = (int) 1
$value_check = 'females'
$tempt_k = (int) 6
$tempt_v = '3/7'
$result_rand_frac = '2/5'
$findme = '/'
$search_frac = (int) 1
$frac_show = array(
	(int) 0 => '2',
	(int) 1 => '5'
)
$reduce_to_lowest = array(
	(int) 0 => (int) 2,
	(int) 1 => (int) 5
)
$search_frac_1 = (int) 1
$value_rand_1 = '2/5'
$frac_show_1 = array(
	(int) 0 => '2',
	(int) 1 => '5'
)
$arr_variable = array(
	'f1' => '3/5',
	'f2' => '2/5',
	'males' => 'females'
)
array_rand - [internal], line ??
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 314
ClonesController::index2() - APP/Controller/ClonesController.php, line 2226
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 119

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Question

Fraction to units, Unchanged quantity, Units table

P4.FR.JM.17101799-A1

In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

4 m

{"f1":"<span class='frac'><sup>3<\/sup><sub>5<\/sub><\/span>","f2":"<span class='frac'><sup>2<\/sup><sub>5<\/sub><\/span>","males":"females","cooking":"","females":"males","1u":5,"(Males)":"Females","(Females)":"Males","(n3)":3,"(n4)":5,"(n1)":2,"(n2)":5,"(nn1)":2,"(lcm)":10,"(l1)":2,"(l2)":5,"(a1)":10,"(b1)":15,"(a2)":10,"(b2)":4,"(gu)":11,"11":11,"(n20)":55,"(t)":25,"(n30)":125}

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In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

	Males	Females
Before	2x5 = 10 u	3x5 = 15 u
Change		- 55
After	5x2 = 10 u	2x2 = 4 u

The number of males remains unchanged.

Change in the number of females
= 15 u - 4 u
= 11 u

11 u = 55
1 u = 55 ÷ 11 = 5

Number of people at first
= 25 u
= 25 x 5
= 125

Answer(s): 125

4 m

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In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

{"f1":"<span class='frac'><sup>3<\/sup><sub>5<\/sub><\/span>","f2":"<span class='frac'><sup>2<\/sup><sub>5<\/sub><\/span>","males":"females","cooking":"","females":"males","1u":5,"(Males)":"Females","(Females)":"Males","(n3)":3,"(n4)":5,"(n1)":2,"(n2)":5,"(nn1)":2,"(lcm)":10,"(l1)":2,"(l2)":5,"(a1)":10,"(b1)":15,"(a2)":10,"(b2)":4,"(gu)":11,"11":11,"(n20)":55,"(t)":25,"(n30)":125}

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Ischool Pte Ltd

Date:21 May 2024

Topic: FRACTIONS

Question Code: P4.FR.JM.17101799

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In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

(4 m)

Answer(s):

Ischool Pte Ltd

Date: 21 May 2024

Topic: FRACTIONS

Question Code: P4.FR.JM.17101799

Student:

Class:

Level:

School:

---

In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

(4 m)

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STUDENT

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• 
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• 
• 

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Primary 4 FRACTIONS P4.FR.JM.17101799

21 May 2024, 12:21 PM

In a class, ³₅ are females and the rest are males. After 55 females left the class, there are ²₅ as many females as males. How many people were there in the class at first?

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ISchool Pte Ltd

Date:21 May 2024

Topic:FRACTIONS

Question Number:P4.FR.JM.17101799-A1

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