Algebra, NAP_10707
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Variant 0
DifficultyLevel
468
Question
Chester is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
He has 3 more points to join to form another parallelogram.
Two of the points are H2 and C0.
Which of the following is the third point to connect?
Worked Solution
By connecting the points H2, G0 and C0 we obtain another parallelogram.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
question | Chester is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
He has 3 more points to join to form another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/69.svg 350 indent vpad
Two of the points are H2 and C0.
Which of the following is the third point to connect?
|
workedSolution | By connecting the points H2, {{correctAnswer}} and C0 we obtain another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/69s.svg 350 indent vpad |
correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
471
Question
Rick is drawing 3 triangles on a square grid without crossing the sides of any other triangles.
He has 2 more points to join to form another triangle.
One of the points is E0
Which of the following is the second point to connect?
Worked Solution
By connecting the points E0 and B2 we obtain another triangle.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
question | Rick is drawing 3 triangles on a square grid without crossing the sides of any other triangles.
He has 2 more points to join to form another triangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/70.svg 350 indent vpad
One of the points is E0
Which of the following is the second point to connect?
|
workedSolution | By connecting the points E0 and B2 we obtain another triangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/70s.svg 350 indent vpad |
correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
474
Question
Salma is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
She has 3 more points to join to form another parallelogram.
Two of the points are I2 and D0.
Which of the following is the third point to connect?
Worked Solution
By connecting the points I2, G0 and D0 we obtain another parallelogram.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
question | Salma is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
She has 3 more points to join to form another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2.svg 450 indent vpad
Two of the points are I2 and D0.
Which of the following is the third point to connect? |
workedSolution | By connecting the points I2, {{correctAnswer}} and D0 we obtain another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2ws.svg 450 indent vpad |
correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
477
Question
Olga is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
She has 3 more points to join to form another parallelogram.
Two of the points are C2 and H4.
Which of the following is the third point to connect?
Worked Solution
By connecting the points C2, E4 and H4 we obtain another parallelogram.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
question | Olga is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.
She has 3 more points to join to form another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2.svg 450 indent vpad
Two of the points are C2 and H4.
Which of the following is the third point to connect? |
workedSolution | By connecting the points C2, {{correctAnswer}} and H4 we obtain another parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v3ws.svg 450 indent vpad |
correctAnswer | |
Answers
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
Variant 4
DifficultyLevel
480
Question
Aitana is drawing 3 triangles on a square grid without crossing the sides of any other triangles.
She has 2 more points to join to form another triangle.
One of the points is E1.
Which of the following is the second point to connect?
Worked Solution
By connecting the points E1 and B3 we obtain another triangle.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
question | Aitana is drawing 3 triangles on a square grid without crossing the sides of any other triangles.
She has 2 more points to join to form another triangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v4.svg 300 indent vpad
One of the points is E1.
Which of the following is the second point to connect?
|
workedSolution | By connecting the points E1 and {{correctAnswer}} we obtain another triangle.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v4ws.svg 300 indent vpad |
correctAnswer | |
Answers