Geometry, NAPX-J2-22

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

532

Question

Rashid uses balls and sticks to make a model of a triangular pyramid.

Each stick is the same length.



Rashid is given 4 more balls to change his model into a cube.

How many more sticks will Rashid need to make the cube?

Worked Solution

Rashid will need 6 more sticks (a total of 12).


Question Type

Answer Box

Variables

Variable nameVariable value
question
Rashid uses balls and sticks to make a model of a triangular pyramid. Each stick is the same length.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 200 indent2 vpad
Rashid is given 4 more balls to change his model into a cube. How many more sticks will Rashid need to make the cube?
workedSolution
Rashid will need {{{correctAnswer0}}} more sticks (a total of 12).
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-22-v1.svg 170 indent2 vpad
correctAnswer0
6
prefix0
suffix0
sticks

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
correctAnswer06

sticks

Variant 1

DifficultyLevel

530

Question

Riley uses balls and sticks to make a model of a triangular pyramid.

Each stick is the same length.



Riley is given 6 more balls to change her model into a pentagonal prism.

How many more sticks will Riley need to make the pentagonal prism?

Worked Solution

A pentagonal prism has 5 edges at each end.

Riley will need 9 more sticks (a total of 15).


Question Type

Answer Box

Variables

Variable nameVariable value
question
Riley uses balls and sticks to make a model of a triangular pyramid. Each stick is the same length.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 200 indent2 vpad
Riley is given 6 more balls to change her model into a pentagonal prism. How many more sticks will Riley need to make the pentagonal prism?
workedSolution
A pentagonal prism has 5 edges at each end. Riley will need {{{correctAnswer0}}} more sticks (a total of 15).
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v1a.svg 200 indent2 vpad
correctAnswer0
9
prefix0
suffix0
sticks

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

sticks

Variant 2

DifficultyLevel

532

Question

Ringo uses balls and sticks to make a model of a triangular pyramid.

Each stick is the same length.



Ringo is given 8 more balls to change his model into a hexagonal prism.

How many more sticks will Ringo need to make the hexagonal prism?

Worked Solution

A hexagonal prism has 6 edges at each end.

Ringo will need 12 more sticks (a total of 18).


Question Type

Answer Box

Variables

Variable nameVariable value
question
Ringo uses balls and sticks to make a model of a triangular pyramid. Each stick is the same length.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 150 indent2 vpad
Ringo is given 8 more balls to change his model into a hexagonal prism. How many more sticks will Ringo need to make the hexagonal prism?
workedSolution
A hexagonal prism has 6 edges at each end. Ringo will need {{{correctAnswer0}}} more sticks (a total of 18).
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v2.svg 200 indent2 vpad
correctAnswer0
12
prefix0
suffix0
sticks

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
correctAnswer012

sticks

Variant 3

DifficultyLevel

534

Question

Rishi uses balls and sticks to make a model of a square pyramid.

Each stick is the same length.



Rishi is given 7 more balls to change his model into a hexagonal prism.

How many more sticks will Rishi need to make the hexagonal prism?

Worked Solution

A hexagonal prism has 6 edges at each end.

Rishi will need 10 more sticks (a total of 18).


Question Type

Answer Box

Variables

Variable nameVariable value
question
Rishi uses balls and sticks to make a model of a square pyramid. Each stick is the same length.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3.svg 200 indent2 vpad
Rishi is given 7 more balls to change his model into a hexagonal prism. How many more sticks will Rishi need to make the hexagonal prism?
workedSolution
A hexagonal prism has 6 edges at each end. Rishi will need {{{correctAnswer0}}} more sticks (a total of 18).
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3aws.svg 220 indent2 vpad
correctAnswer0
10
prefix0
suffix0
sticks

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

sticks

Variant 4

DifficultyLevel

530

Question

Valentina uses balls and sticks to make a model of a square pyramid.

Each stick is the same length.



Valentina is given 3 more balls to change her model into a cube.

How many more sticks will Valentina need to make the cube?

Worked Solution

Valentina will need 4 more sticks (a total of 12).


Question Type

Answer Box

Variables

Variable nameVariable value
question
Valentina uses balls and sticks to make a model of a square pyramid. Each stick is the same length.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3.svg 200 indent2 vpad
Valentina is given 3 more balls to change her model into a cube. How many more sticks will Valentina need to make the cube?
workedSolution
Valentina will need {{{correctAnswer0}}} more sticks (a total of 12).
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v4ws.svg 200 indent2 vpad
correctAnswer0
4
prefix0
suffix0
sticks

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
correctAnswer04

sticks

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