Number and Algebra, Raph15-79

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}


Variant 0

DifficultyLevel

521

Question

Monica hangs 3 flags on a horizontal pole to make a banner.

Any flags next to each other share a pin.

She uses 4 pins.



How many pins would Monica use to hang 8 flags next to each other?

Worked Solution

1 flag = 2 pins

2 flags = 3 pins

\rightarrow 8 flags = 9 pins

Question Type

Answer Box

Variables

Variable nameVariable value
question
Monica hangs 3 flags on a horizontal pole to make a banner. Any flags next to each other share a pin. She uses 4 pins.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-80.svg 350 indent3 vpad
How many pins would Monica use to hang 8 flags next to each other?
workedSolution
1 flag = 2 pins 2 flags = 3 pins $\rightarrow$ 8 flags = {{{correctAnswer0}}} pins
correctAnswer0
9
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
correctAnswer09

Variant 1

DifficultyLevel

523

Question

Light posts are placed every 100 metres on a road.

For the 300 metres of road below, there are 4 light posts.



How many lights posts are there for a 900 metre road?

Worked Solution

100 metre road = 2 light posts

200 metre road = 3 light posts

\rightarrow 900 metre road = 10 light posts

Question Type

Answer Box

Variables

Variable nameVariable value
question
Light posts are placed every 100 metres on a road. For the 300 metres of road below, there are 4 light posts.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-79.svg 550 indent vpad
How many lights posts are there for a 900 metre road?
workedSolution
100 metre road = 2 light posts 200 metre road = 3 light posts $\rightarrow$ 900 metre road = {{{correctAnswer0}}} light posts
correctAnswer0
10
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
correctAnswer010

Variant 2

DifficultyLevel

525

Question

Electric towers are installed for every 2 kilometres.

For the 6 km distance below, there are 4 electric towers.



How many electric towers are there for a distance of 12 km?

Worked Solution

2 km distance = 2 towers

4 km distance = 3 towers

\rightarrow 12 km distance = (12 ÷\div 2) + 1 = 7 towers

Question Type

Answer Box

Variables

Variable nameVariable value
question
Electric towers are installed for every 2 kilometres. For the 6 km distance below, there are 4 electric towers.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-81.svg 550 indent vpad
How many electric towers are there for a distance of 12 km?
workedSolution
2 km distance = 2 towers 4 km distance = 3 towers $\rightarrow$ 12 km distance = (12 $\div$ 2) + 1 = {{{correctAnswer0}}} towers
correctAnswer0
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
correctAnswer07

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