20182
Question
{{name}} is a {{job}} and his {{group}} produced {{number}} {{animals}} last year.
If his {{group}} produced {{frac1}} as many {{animals}} this year, how many {{animals}} were produced?
Worked Solution
|
|
| Number of {{animals}} |
= {{frac2}} × {{number}} |
|
= {{{correctAnswer}}} |
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
Variant 0
DifficultyLevel
489
Question
James is a pastoralist and his flock produced 56 lambs last year.
If his flock produced half as many lambs this year, how many lambs were produced?
Worked Solution
|
|
| Number of lambs |
= 21 × 56 |
|
= 28 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| name | |
| job | |
| group | |
| number | |
| animals | |
| frac1 | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
489
Question
Murdoch is a farmer and his herd produced 72 calves last year.
If his herd produced half as many calves this year, how many calves were produced?
Worked Solution
|
|
| Number of calves |
= 21 × 72 |
|
= 36 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| name | |
| job | |
| group | |
| number | |
| animals | |
| frac1 | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
493
Question
Tim is a rancher and his team of horses produced 94 foals last year.
If his team of horses produced half as many foals this year, how many foals were produced?
Worked Solution
|
|
| Number of foals |
= 21 × 94 |
|
= 47 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| name | |
| job | |
| group | |
| number | |
| animals | |
| frac1 | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
489
Question
Bob is a farmer and his herd produced 42 calves last year.
If his herd produced one-third as many calves this year, how many calves were produced?
Worked Solution
|
|
| Number of calves |
= 31 × 42 |
|
= 14 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| name | |
| job | |
| group | |
| number | |
| animals | |
| frac1 | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 4
DifficultyLevel
489
Question
Lloyd is a shepherd and his flock produced 54 lambs last year.
If his flock produced half as many lambs this year, how many lambs were produced?
Worked Solution
|
|
| Number of lambs |
= 21 × 54 |
|
= 27 |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| name | |
| job | |
| group | |
| number | |
| animals | |
| frac1 | |
| frac2 | |
| correctAnswer | |
Answers