RAPH Job 12 65-66
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
Variant 0
DifficultyLevel
425
Question
Which of these triangles have the least fraction of area shaded?
Worked Solution
All of the triangles have their area shaded by at least 21
Except for this figure:
Which has only 41 of its area shaded.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Which of these triangles have the least fraction of area shaded? |
| workedSolution | All of the triangles have their area shaded by at least $\dfrac{1}{2}$
Except for this figure:
{{{correctAnswer}}}
Which has only $\dfrac{1}{4}$ of its area shaded. |
| correctAnswer | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/65c.svg 120 indent vpad |
Answers
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
Variant 1
DifficultyLevel
427
Question
Which of these parallelograms has the greatest fraction of area shaded?
Worked Solution
All of the parallelograms have their area shaded by less than 21
Except for this figure:
Which has exactly 21 of its area shaded.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Which of these parallelograms has the greatest fraction of area shaded? |
| workedSolution | All of the parallelograms have their area shaded by less than $\dfrac{1}{2}$
Except for this figure:
{{{correctAnswer}}}
Which has exactly $\dfrac{1}{2}$ of its area shaded. |
| correctAnswer | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/66d.svg 170 indent vpad |
Answers