Notice (8): Undefined offset: 0 [APP/Controller/Component/CommonComponent.php, line 4308]
Code Context
                                    'name_check LIKE'=>strtolower($get_between[1])
                                )));
                                $array_get_word = $get_word['Listnumber'][0]['words'];
$clone = array(
	'id' => '6275',
	'chart' => '',
	'question_id' => '38522',
	'clone_type' => '1',
	'phpfile' => null,
	'clone_symbol' => null,
	'clone_content' => '$(Dana) places $(n3) $(boxes) an equal distance from one another. The distance between the&nbsp;first $(box) and the $(n3rd) $(box) is $(n150) cm. If $(Dana) adds another $(n10) $(boxes) that are equal distance apart,<br />
<ol>
<li>How many gaps will there be between the $(n10th) $(box) and the $(n13th) $(box)?</li>
<li>What is the distance between the $(n10)th $(box) and the $(n13)th $(box)?</li>
</ol>',
	'clone_solution_step' => '(a)<br />Number of gaps between $(n3) $(boxes) <br />= $(n3) - 1 <br />= $(n2) <br /> <br /> Distance between two $(boxes)<br /> = $(n150) &divide; $(n2) <br /> = $(n75) cm <br /> <br /> Number of gaps between the $(n10th) and the $(n13th) $(box)<br /> = $(n13) - $(n10) <br /> = $(n3)<br /> <br />(b)<br />Distance between the $(n10th) and the $(n13th) $(box) <br /> = $(n3) x $(n75) <br /> = $(n225) cm <br /> <br /> Answer(s): (a) $(n3); (b) $(n225) cm',
	'clone_answer' => '(a) 4; (b) $(n225) cm														     														     														     														     														     														     														     														     														     														     ',
	'array' => object(stdClass) {
		1516845019891 => object(stdClass) {}
		1516845021104 => object(stdClass) {}
		1516845070706 => object(stdClass) {}
		1516845080629 => object(stdClass) {}
		1516845091333 => object(stdClass) {}
	},
	'clone_image' => null,
	'clone_solution_step_image' => null,
	'clone_answer_image' => null,
	'status' => true,
	'created' => '2018-01-18 16:19:37',
	'modified' => '2020-06-06 21:00:47',
	'original_question' => 'Dana places 3 boxes an equal distance from one another. The distance between the 1st box and the 3rd box is 150 cm. If Dana adds another 10 boxes that are equal distance apart, how many gaps will there be between the 10th box and the 13th box? What is the distance between the 10th box and the 13th box?',
	'formula' => array(
		(int) 0 => '$(n10)+$(n3)=$(n13)',
		(int) 1 => '$(n150b)*10=$(n150)',
		(int) 2 => 'array_singular($(boxes))=$(box) ',
		(int) 3 => 'array_get_words(1,ordinalnumber,$(n3))=$(n3rd) ',
		(int) 4 => 'array_get_words(1,ordinalnumber,$(n13))=$(n13th) ',
		(int) 5 => 'array_get_words(1,ordinalnumber,$(n10))=$(n10th) ',
		(int) 6 => '$(n3) - 1 = $(n2) ',
		(int) 7 => '$(n150) /$(n2)  = $(n75)',
		(int) 8 => 'if(whole_number($(n75))) continue',
		(int) 9 => '$(n13) - $(n10)  = $(n3)',
		(int) 10 => '$(n3) *$(n75)  = $(n225)'
	),
	'time_value' => array(
		(int) 0 => '1516845106404',
		(int) 1 => '1575377925193',
		(int) 2 => '1516845147788',
		(int) 3 => '1591444275914',
		(int) 4 => '1591444453828',
		(int) 5 => '1591444453365',
		(int) 6 => '1516845184973',
		(int) 7 => '1516845185154',
		(int) 8 => '1516845186076',
		(int) 9 => '1516845187069',
		(int) 10 => '1516845229315'
	),
	'criterion' => array(
		(int) 0 => '',
		(int) 1 => '',
		(int) 2 => '',
		(int) 3 => '',
		(int) 4 => '',
		(int) 5 => '',
		(int) 6 => '',
		(int) 7 => '',
		(int) 8 => '',
		(int) 9 => '',
		(int) 10 => ''
	),
	'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 => ''
	),
	'image_gridline' => '',
	'code_gridline' => '',
	'level' => '',
	'topic_id' => '',
	'source' => '',
	'question_code' => 'P3.WN.JC.17121100-A1',
	'tag' => '',
	'mark' => '',
	'text_working' => '["","","","","","","","","","",""]',
	'original_solution' => '(a)<br />Number of gaps between 3 boxes = 3 - 1 = 2 <br /> <br /> Distance between two boxes <br /> = 150 &divide; 2 <br /> = 75 cm <br /> <br /> Number of gaps between the 10th and 13th box<br /> = 13 - 10 <br /> = 3<br /> <br />(b)<br /> Distance between the 10th and the 13th box <br /> = 3 x 75 <br /> = 225 cm <br /> <br /> Answer(s): 225 cm',
	'delete_by' => null,
	'delete_date' => null
)
$Array1 = object(Array1) {
	table => 'array1s'
	validate => array()
	useDbConfig => 'default'
	useTable => 'array1s'
	id => '21'
	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 = '(a) $(n3); (b) $(n225) cm														     														     														     														     														     														     														     														     														     														     '
$count_crition = (int) 2
$count_array_break = (int) 0
$count_variable_nnt = (int) 0
$message_nnt = ''
$field = 'time_value'
$array_get = array(
	(int) 2 => 'boxes',
	(int) 0 => 'n10',
	(int) 3 => 'n3',
	(int) 6 => 'n3',
	(int) 9 => 'n10',
	(int) 10 => 'n3',
	(int) 1 => 'n150b',
	(int) 5 => 'n10',
	(int) 4 => '(n13)',
	(int) 7 => '(n150)'
)
$tempt = array()
$list_name_array = array(
	(int) 0 => 'Natalie',
	(int) 1 => 'packets'
)
$list_array_item = array(
	'Dana' => array(
		'listArray' => array(
			(int) 0 => 'Xylia',
			(int) 1 => 'Elyse',
			(int) 2 => 'Gwen',
			(int) 3 => 'Nicole',
			(int) 4 => 'Penelope',
			(int) 5 => 'Kylie',
			(int) 6 => 'Ivory',
			(int) 7 => 'Victoria',
			(int) 8 => 'Shannon',
			(int) 9 => 'Shiyun',
			(int) 10 => 'Jaslyn',
			(int) 11 => 'Sabrina',
			(int) 12 => 'Joelle',
			(int) 13 => 'Rachel',
			(int) 14 => 'Jade',
			(int) 15 => 'Jen',
			(int) 16 => 'Gem',
			(int) 17 => 'Jean',
			(int) 18 => 'Barbara',
			(int) 19 => 'Marion',
			(int) 20 => 'Tiffany',
			(int) 21 => 'Esther',
			(int) 22 => 'Lucy',
			(int) 23 => 'Emma',
			(int) 24 => 'Erika',
			(int) 25 => 'Anna',
			(int) 26 => 'Betty',
			(int) 27 => 'Cathy',
			(int) 28 => 'Diana',
			(int) 29 => 'Eva',
			(int) 30 => 'Fiona',
			(int) 31 => 'Gillian',
			(int) 32 => 'Hazel',
			(int) 33 => 'Abi',
			(int) 34 => 'Cindy',
			(int) 35 => 'Dana',
			(int) 36 => 'Emily',
			(int) 37 => 'Fanny',
			(int) 38 => 'Gabby',
			(int) 39 => 'Hilda',
			(int) 40 => 'Irene',
			(int) 41 => 'Julie',
			(int) 42 => 'Jane',
			(int) 43 => 'Kathy',
			(int) 44 => 'Kimberly',
			(int) 45 => 'Linda',
			(int) 46 => 'Lynn',
			(int) 47 => 'Mary',
			(int) 48 => 'Min',
			(int) 49 => 'Olivia',
			(int) 50 => 'Opal',
			(int) 51 => 'Nora',
			(int) 52 => 'Natalie',
			(int) 53 => 'Pamela',
			(int) 54 => 'Risa',
			(int) 55 => 'Raeann',
			(int) 56 => 'Roshel',
			(int) 57 => 'Sarah',
			(int) 58 => 'Tammy',
			(int) 59 => 'Tina',
			(int) 60 => 'Usha',
			(int) 61 => 'Vanessa',
			(int) 62 => 'Winnie',
			(int) 63 => 'Wendy',
			(int) 64 => 'Xandra',
			(int) 65 => 'Xuan',
			(int) 66 => 'Yoko',
			(int) 67 => 'Yen',
			(int) 68 => 'Zara',
			(int) 69 => 'Zoe'
		),
		'keyArray' => (int) 52,
		'manyArray' => '1',
		'capitalize' => '0'
	),
	'boxes' => array(
		'listArray' => array(
			(int) 0 => 'packets',
			(int) 1 => 'bags'
		),
		'keyArray' => (int) 0,
		'manyArray' => '2',
		'capitalize' => '2'
	)
)
$list_italic = array()
$array_variable = object(stdClass) {
	1516845019891 => object(stdClass) {}
	1516845021104 => object(stdClass) {}
	1516845070706 => object(stdClass) {}
	1516845080629 => object(stdClass) {}
	1516845091333 => object(stdClass) {}
}
$question_content = '$(Dana) places $(n3) $(boxes) an equal distance from one another. The distance between the&nbsp;first $(box) and the $(n3rd) $(box) is $(n150) cm. If $(Dana) adds another $(n10) $(boxes) that are equal distance apart,<br />
<ol>
<li>How many gaps will there be between the $(n10th) $(box) and the $(n13th) $(box)?</li>
<li>What is the distance between the $(n10)th $(box) and the $(n13)th $(box)?</li>
</ol>'
$solution_step = '(a)<br />Number of gaps between $(n3) $(boxes) <br />= $(n3) - 1 <br />= $(n2) <br /> <br /> Distance between two $(boxes)<br /> = $(n150) &divide; $(n2) <br /> = $(n75) cm <br /> <br /> Number of gaps between the $(n10th) and the $(n13th) $(box)<br /> = $(n13) - $(n10) <br /> = $(n3)<br /> <br />(b)<br />Distance between the $(n10th) and the $(n13th) $(box) <br /> = $(n3) x $(n75) <br /> = $(n225) cm <br /> <br /> Answer(s): (a) $(n3); (b) $(n225) cm'
$clone_answer = '(a) $(n3); (b) $(n225) cm														     														     														     														     														     														     														     														     														     														     '
$formula = array(
	(int) 0 => '15+6=21',
	(int) 1 => '12*10=120',
	(int) 2 => 'array_singular(packets)=packet',
	(int) 3 => 'array_get_words(1,ordinalnumber,6)=sixth',
	(int) 4 => 'array_get_words(1,ordinalnumber,21)=$(n13th)',
	(int) 5 => 'array_get_words(1,ordinalnumber,15)=$(n10th)',
	(int) 6 => '6-1=$(n2)',
	(int) 7 => '120/$(n2)=$(n75)',
	(int) 8 => 'if(whole_number($(n75)))continue',
	(int) 9 => '21-15=6',
	(int) 10 => '6*$(n75)=$(n225)'
)
$formula_1 = array(
	(int) 0 => '$(n10)+$(n3)=$(n13)',
	(int) 1 => '$(n150b)*10=$(n150)',
	(int) 2 => 'array_singular($(boxes))=$(box) ',
	(int) 3 => 'array_get_words(1,ordinalnumber,$(n3))=$(n3rd) ',
	(int) 4 => 'array_get_words(1,ordinalnumber,$(n13))=$(n13th) ',
	(int) 5 => 'array_get_words(1,ordinalnumber,$(n10))=$(n10th) ',
	(int) 6 => '$(n3) - 1 = $(n2) ',
	(int) 7 => '$(n150) /$(n2)  = $(n75)',
	(int) 8 => 'if(whole_number($(n75))) continue',
	(int) 9 => '$(n13) - $(n10)  = $(n3)',
	(int) 10 => '$(n3) *$(n75)  = $(n225)'
)
$criterion = array(
	(int) 0 => '',
	(int) 1 => '',
	(int) 2 => '',
	(int) 3 => '',
	(int) 4 => '',
	(int) 5 => '',
	(int) 6 => '',
	(int) 7 => '',
	(int) 8 => '',
	(int) 9 => '',
	(int) 10 => ''
)
$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 => ''
)
$time_value = array(
	(int) 0 => '1516845106404',
	(int) 1 => '1575377925193',
	(int) 2 => '1516845147788',
	(int) 3 => '1591444275914',
	(int) 4 => '1591444453828',
	(int) 5 => '1591444453365',
	(int) 6 => '1516845184973',
	(int) 7 => '1516845185154',
	(int) 8 => '1516845186076',
	(int) 9 => '1516845187069',
	(int) 10 => '1516845229315'
)
$k = '1516845091333'
$v = object(stdClass) {
	cate => 'whole_number'
	name => 'n10'
	range => object(stdClass) {}
	attr => object(stdClass) {}
}
$array_system = array(
	(int) 0 => 'packets',
	(int) 1 => 'bags'
)
$dem_array_trung = (int) 1
$value_rand_check = (int) 0
$value_check = 'packets'
$check_who_nnt = (int) 0
$from = '10'
$to = '15'
$arr_variable = array(
	'Dana' => 'Natalie',
	'boxes' => 'packets',
	'n3' => (int) 6,
	'n150b' => (int) 12,
	'n10' => (int) 15,
	'(n13)' => (int) 21,
	'(n150)' => (int) 120,
	'(box)' => 'packet',
	'(n3rd)' => 'sixth'
)
$variable_k = '(n3rd)'
$variable_v = 'sixth'
$formula_k = (int) 4
$formula_v = 'array_get_words(1,ordinalnumber,$(n13))=$(n13th)'
$criterion_k = (int) 10
$criterion_v = ''
$type_criterion_k = (int) 10
$type_criterion_v = ''
$variable_show = array(
	'Dana' => 'Natalie',
	'boxes' => 'packets',
	'n3' => (int) 6,
	'n150b' => (int) 12,
	'n10' => (int) 15
)
$start = 'array_get_words('
$end = ')'
$array_mixed_nnt = array()
$check_changes = '6*$(n75)=$(n225)'
$criterion_continue = '$(n13th)'
$criterion_back = '3th)'
$type_criterion_action = (int) 1
$get_between = array(
	(int) 0 => '1',
	(int) 1 => 'ordinalnumber',
	(int) 2 => '21'
)
$type_cri = 'whole_number'
$get_between_value = '36.666666666667'
$bieuthuc = array(
	(int) 0 => 'array_get_words(1,ordinalnumber,21)',
	(int) 1 => '(n13th)'
)
$substr_pos = 'change_decimal_to_fraction'
$get_numerator = false
$get_whole_number_nnt = false
$pos = false
$giatri = 'sixth'
$substr_simplify_frac = 'simplify_fraction'
$simplify_frac = false
$substr_simplify_ratio = 'simplify_ratio'
$simplify_ratio = false
$substr_get_element_of_ratio = 'get_element'
$get_element_of_ratio = false
$substr_numberto2decimal = 'change_number_to_2dp'
$change_to_2dp = false
$substr_digit_5_0 = 'change_to_2dp_with_5_or_0'
$change_to_2dp_5_or_0 = false
$substr_mixed_num = 'change_improper_to_mixed_number'
$mixed_num = false
$substr_mixed_to_improper = 'change_mixed_number_to_improper'
$mixed_to_improper = false
$substr_invert_fraction = 'invert_fraction'
$invert_fraction = false
$substr_get_same_numerator = 'share_same_numerator'
$get_same_numerator = false
$substr_get_same_denominator = 'share_same_denominator'
$get_same_denominator = false
$substr_reduce_into_ratio = 'simplify_any_into_ratio'
$reduce_into_ratio = false
$substr_multiply_subscript = 'multiply_ratio_subscript'
$multiply_subscript = false
$substr_assign = 'assign'
$assign = false
$substr_is_12_hour_time_am_pm = 'get_12_hour_time_am_pm'
$is_12_hour_time_am_pm = false
$substr_is_2400_hour_time = 'get_2400_hour_time'
$is_2400_hour_time = false
$substr_add_or_minus_time = 'add_or_minus_min_or_s'
$add_or_minus_time = false
$substr_change_percentage_to_frac = 'change_percentage_to_frac'
$change_percentage_to_frac = false
$substr_round_2_decimal = 'round_2_decimal_place'
$round_2_decimal_place = false
$substr_round_1_decimal = 'round_1_decimal_place'
$round_1_decimal_place = false
$substr_get_quotient = 'get_quotient'
$get_quotient = false
$substr_get_remainder = 'get_remainder'
$get_remainder = false
$substr_change_min_to_hour_min = 'change_min_to_h_min'
$change_min_to_hour_min = false
$substr_change_h_min_to_min = 'change_h_min_to_min'
$change_h_min_to_min = false
$substr_carry_1 = 'carry_1_from_mixed_number'
$get_carry_1 = false
$change_d_or_p_to_fraction = 'change_to_unsimplied_fraction'
$get_change_d_or_p_to_fraction = false
$round_off_to_nearest_ten = 'round_off_to_nearest_ten'
$get_round_off_to_nearest_ten = false
$round_off_to_nearest_hundred = 'round_off_to_nearest_hundred'
$get_round_off_to_nearest_hundred = false
$round_off_to_nearest_thousand = 'round_off_to_nearest_thousand'
$get_round_off_to_nearest_thousand = false
$change_12_to_24 = 'change_12h_to_24h'
$get_12_to_24 = false
$change_24_to_12 = 'change_24h_to_12h'
$get_24_to_12 = false
$get_factors = 'get_factors'
$get_factors_nnt = false
$get_common_factors = 'get_common_factors'
$get_common_factors_nnt = false
$get_multiples = 'get_multiples'
$get_multiples_23916 = false
$get_add_or_minus_multiples = 'add_or_minus_multiples'
$add_or_minus_multiples_23916 = false
$get_common_numbers = 'get_common_numbers'
$get_common_numbers_240916 = false
$substr_array_singular = 'array_singular'
$array_singular_101016 = false
$substr_array_plural = 'array_plural'
$array_plural_101016 = false
$substr_print_fraction = 'print_fraction'
$print_fraction_101016 = false
$substr_array_capitalize = 'array_capitalize'
$array_capitalize_101016 = false
$substr_array_get_words = 'array_get_words'
$array_get_words_31316 = (int) 0
$substr_array_get_1st_letter = 'array_get_1st_letter'
$array_array_get_1st_letter = false
$substr_array_get_next_loop = 'array_get_next_loop'
$array_get_next_loop = false
$substr_array_get_next_break = 'array_get_next_break'
$array_get_next_break = false
$substr_multiply_fraction = 'do_fraction'
$array_multiply_fraction = false
$substr_change_to_italic = 'change_to_italic'
$array_change_to_italic = false
$Arraynumber = object(Arraynumber) {
	validate => array()
	hasMany => array(
		'Listnumber' => array(
			[maximum depth reached]
		)
	)
	useDbConfig => 'default'
	useTable => 'arraynumbers'
	id => false
	data => array()
	schemaName => 'ischoolb_orgi'
	table => 'arraynumbers'
	primaryKey => 'id'
	validationErrors => array()
	validationDomain => null
	tablePrefix => ''
	plugin => null
	name => 'Arraynumber'
	alias => 'Arraynumber'
	tableToModel => array(
		'arraynumbers' => 'Arraynumber',
		'listnumbers' => 'Listnumber'
	)
	cacheQueries => false
	belongsTo => array()
	hasOne => 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
	)
	Listnumber => object(Listnumber) {}
	[protected] _schema => array(
		'id' => array(
			[maximum depth reached]
		),
		'name' => array(
			[maximum depth reached]
		),
		'name_check' => 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
}
$get_word = array(
	'Arraynumber' => array(
		'id' => '4',
		'name' => 'ordinalnumber',
		'name_check' => 'ordinalnumber',
		'created' => '2017-09-11 11:50:48',
		'modified' => '2017-12-07 15:27:34'
	),
	'Listnumber' => array()
)
$array_get_word = 'sixth'
$k1 = (int) 10
$v1 = '6*$(n75)=$(n225)'
CommonComponent::generateAdvClone() - APP/Controller/Component/CommonComponent.php, line 4308
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

W 4 operations, Length, Intervals

P3.WN.JC.17121100-A1

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

4 m

{"Dana":"Natalie","boxes":"packets","n3":6,"n150b":12,"n10":15,"(n13)":21,"(n150)":120,"(box)":"packet","(n3rd)":"sixth","(n13th)":"","(n10th)":"fifteenth","(n2)":5,"(n75)":24,"6":6,"(n225)":144}

(a)

∑

Click ∑ button first when a symbol is required. X

(b)

∑

Click ∑ button first when a symbol is required. X

Time
Elapsed

00 : 00

MIN    SEC

Problems
Attempted 0

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

(a)
Number of gaps between 6 packets
= 6 - 1
= 5

Distance between two packets
= 120 ÷ 5
= 24 cm

Number of gaps between the fifteenth and the packet
= 21 - 15
= 6

(b)
Distance between the fifteenth and the packet
= 6 x 24
= 144 cm

Answer(s): (a) 6; (b) 144 cm

4 m

×

×

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

{"Dana":"Natalie","boxes":"packets","n3":6,"n150b":12,"n10":15,"(n13)":21,"(n150)":120,"(box)":"packet","(n3rd)":"sixth","(n13th)":"","(n10th)":"fifteenth","(n2)":5,"(n75)":24,"6":6,"(n225)":144}

(a)

∑

Click ∑ button first when a symbol is required. X

(b)

∑

Click ∑ button first when a symbol is required. X

×

Symbols

x² x³ ₵ $ ⊥ // ∠ ° π ℓ % : + - × ÷

---

Answer:

Number Fraction

Insert Add

×

Enter the numerator and denominator

Close Insert

×

Enter value

²

Close Insert

×

Question Solution

Close

×

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Ischool Pte Ltd

Date:01 Jul 2024

Topic: WHOLE NUMBERS

Question Code: P3.WN.JC.17121100

Student:

Class:

Level:

School:

---

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

(4 m)

Answer(s):

1. (a)
2. (b)

Ischool Pte Ltd

Date: 01 Jul 2024

Topic: WHOLE NUMBERS

Question Code: P3.WN.JC.17121100

Student:

Class:

Level:

School:

---

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

(4 m)

---

STUDENT

• 
• a
• 

  Symbols×

  x²

  x³

  ₵

  $

  ⊥

  //

  ∠

  °

  π

  ℓ

  %

  :
• ÷

  =
• 
• 
• 
• 
• 

• 

Primary 3 WHOLE NUMBERS P3.WN.JC.17121100

01 Jul 2024, 08:19 PM

Natalie places 6 packets an equal distance from one another. The distance between the first packet and the sixth packet is 120 cm. If Natalie adds another 15 packets that are equal distance apart,

1. How many gaps will there be between the fifteenth packet and the packet?
2. What is the distance between the 15th packet and the 21th packet?

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ISchool Pte Ltd

Date:01 Jul 2024

Topic:WHOLE NUMBERS

Question Number:P3.WN.JC.17121100-A1

Student:

Class:

Level:

School:

---

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