Number, NAPX-p73018v02

Question

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Worked Solution

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Variant 0

DifficultyLevel

533

Question

Jonah, Murray, and Colin shared a box full of kiwi fruit.

Jonah and Murray took 411\dfrac{4}{11} of the box of kiwi fruits each.

What fraction was left for Colin?

Worked Solution

Fraction that Jonah and Murray took
= 411+411\dfrac{4}{11} + \dfrac{4}{11}
= 811\dfrac{8}{11}

∴\therefore Fraction left for Colin
= 1−8111 - \dfrac{8}{11}
= 311\dfrac{3}{11}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jonah, Murray, and Colin shared a box full of kiwi fruit. Jonah and Murray took $\dfrac{4}{11}$ of the box of kiwi fruits each. What fraction was left for Colin?
workedSolution
sm_nogap Fraction that Jonah and Murray took
>>|| |-| |= $\dfrac{4}{11} + \dfrac{4}{11}$| |= $\dfrac{8}{11}$|

sm_nogap $\therefore$ Fraction left for Colin
>>|| |-| |= $1 - \dfrac{8}{11}$| |= $\dfrac{3}{11}$|
correctAnswer
$\dfrac{3}{11}$

Answers

Is Correct?Answer
x

13\dfrac{1}{3}

✓

311\dfrac{3}{11}

x

38\dfrac{3}{8}

x

59\dfrac{5}{9}

Variant 1

DifficultyLevel

529

Question

Karl, Mary and Lily shared a whole pizza.

Mary and Lily ate 25\dfrac{2}{5} of the whole pizza each.

What fraction of the pizza was left for Karl?

Worked Solution

Fraction that Mary and Lily ate
= 25+25\dfrac{2}{5} + \dfrac{2}{5}
= 45\dfrac{4}{5}

∴\therefore Fraction left for Karl
= 1−451 - \dfrac{4}{5}
= 15\dfrac{1}{5}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Karl, Mary and Lily shared a whole pizza. Mary and Lily ate $\dfrac{2}{5}$ of the whole pizza each. What fraction of the pizza was left for Karl?
workedSolution
sm_nogap Fraction that Mary and Lily ate
>>|| |-| |= $\dfrac{2}{5} + \dfrac{2}{5}$| |= $\dfrac{4}{5}$|

sm_nogap $\therefore$ Fraction left for Karl
>>|| |-| |= $1 - \dfrac{4}{5}$| |= $\dfrac{1}{5}$|
correctAnswer
$\dfrac{1}{5}$

Answers

Is Correct?Answer
✓

15\dfrac{1}{5}

x

14\dfrac{1}{4}

x

25\dfrac{2}{5}

x

35\dfrac{3}{5}

Variant 2

DifficultyLevel

531

Question

Curly, Larry and Moe share a bag of strawberries.

Curly and Larry get 18\dfrac{1}{8} of the strawberries each.

What fraction of the bag of strawberries does Moe get?

Worked Solution

Fraction that Curly and Larry receive
= 18+18\dfrac{1}{8} + \dfrac{1}{8}
= 28\dfrac{2}{8}

∴\therefore Fraction left for Moe
= 1−281 - \dfrac{2}{8}
= 68\dfrac{6}{8}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Curly, Larry and Moe share a bag of strawberries. Curly and Larry get $\dfrac{1}{8}$ of the strawberries each. What fraction of the bag of strawberries does Moe get?
workedSolution
sm_nogap Fraction that Curly and Larry receive
>>|| |-| |= $\dfrac{1}{8} + \dfrac{1}{8}$| |= $\dfrac{2}{8}$|

sm_nogap $\therefore$ Fraction left for Moe
>>|| |-| |= $1 - \dfrac{2}{8}$| |= $\dfrac{6}{8}$|
correctAnswer
$\dfrac{6}{8}$

Answers

Is Correct?Answer
x

18\dfrac{1}{8}

x

28\dfrac{2}{8}

✓

68\dfrac{6}{8}

x

78\dfrac{7}{8}

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