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
Variant 0
DifficultyLevel
480
Question
Over a period of 2 weeks, Tony had to fight fires for 8 days.
In days, what fraction of this time period was Tony not fighting fires?
Worked Solution
|
|
|
= 14−8 |
|
= 6 days |
∴ Fraction not fighting fires = 146
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Over a period of 2 weeks, Tony had to fight fires for 8 days.
In days, what fraction of this time period was Tony **not** fighting fires? |
| workedSolution | sm_nogap Days not fighting fires
> > | | |
> > | --------------------: | -------------- |
> > | |= $14 - 8$ |
> > | |= 6 days |
$\therefore$ Fraction not fighting fires = {{{correctAnswer}}} |
| correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
476
Question
Oliver trains for soccer 10 months of the year.
In months, what fraction of the year does Oliver not train for soccer?
Worked Solution
Months not soccer training
|
|
|
= 12−10 |
|
= 2 months |
∴ Fraction not soccer training = 122
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Oliver trains for soccer 10 months of the year.
In months, what fraction of the year does Oliver **not** train for soccer? |
| workedSolution | sm_nogap Months not soccer training
> > | | |
> > | --------------------: | -------------- |
> > | |= $12 - 10$ |
> > | |= 2 months |
$\therefore$ Fraction not soccer training = {{{correctAnswer}}} |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
472
Question
In one minute of a running workout, Patricia sprinted for 40 seconds.
What fraction of the minute did Patricia not sprint?
Worked Solution
|
|
|
= 60−20 |
|
= 40 seconds |
∴ Fraction not sprinting = 6020
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | In one minute of a running workout, Patricia sprinted for 40 seconds.
What fraction of the minute did Patricia **not** sprint? |
| workedSolution | sm_nogap Seconds not sprinting
> > | | |
> > | --------------------: | -------------- |
> > | |= $60 - 20$ |
> > | |= 40 seconds |
$\therefore$ Fraction not sprinting = {{{correctAnswer}}} |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
469
Question
In one hour of cooking, Manou spent 50 minutes chopping vegetables.
What fraction of the hour was Manou not chopping vegetables?
Worked Solution
Minutes not chopping vegetables
|
|
|
= 60−50 |
|
= 10 minutes |
∴ Fraction not chopping vegetables = 6010
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | In one hour of cooking, Manou spent 50 minutes chopping vegetables.
What fraction of the hour was Manou **not** chopping vegetables? |
| workedSolution | sm_nogap Minutes not chopping vegetables
> > | | |
> > | --------------------: | -------------- |
> > | |= $60 - 50$ |
> > | |= 10 minutes |
$\therefore$ Fraction not chopping vegetables = {{{correctAnswer}}} |
| correctAnswer | |
Answers