20350

Question

{{name1}}, {{name2}} and {{name3}} are {{activity}}.

{{name1}} {{frac1}} and {{frac2}}.

What fraction of the {{frac3}}?

Worked Solution
Fraction completed = {{working1}}
= {{working2}}
= {{frac4}}

Fraction left = 1 −- {{frac4}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

583

Question

Kelly, Megan and Narelle are running in a 3-person relay.

Kelly completes half of the course and Megan completes one-fifth.

What fraction of the original distance does Narelle have left?

Worked Solution
Fraction completed = 12+15\dfrac{1}{2} + \dfrac{1}{5}
= 510+210\dfrac{5}{10} + \dfrac{2}{10}
= 710\dfrac{7}{10}

Fraction left = 1 −- 710\dfrac{7}{10}
= 310\dfrac{3}{10}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Kelly
name2
Megan
name3
Narelle
activity
running in a 3-person relay
frac1
completes half of the course
frac2
Megan completes one-fifth
frac3
original distance does Narelle have left
working1
$\dfrac{1}{2} + \dfrac{1}{5}$
working2
$\dfrac{5}{10} + \dfrac{2}{10}$
frac4
$\dfrac{7}{10}$
correctAnswer
$\dfrac{3}{10}$

Answers

Is Correct?Answer
✓

310\dfrac{3}{10}

x

27\dfrac{2}{7}

x

57\dfrac{5}{7}

x

710\dfrac{7}{10}

Variant 1

DifficultyLevel

583

Question

Ian, Greg and Trevor are swimming in an ocean relay event.

Ian completes half of the course and Greg completes one-third.

What fraction of the original distance does Trevor have left?

Worked Solution
Fraction completed = 12+13\dfrac{1}{2} + \dfrac{1}{3}
= 36+26\dfrac{3}{6} + \dfrac{2}{6}
= 56\dfrac{5}{6}

Fraction left = 1 −- 56\dfrac{5}{6}
= 16\dfrac{1}{6}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Ian
name2
Greg
name3
Trevor
activity
swimming in an ocean relay event
frac1
completes half of the course
frac2
Greg completes one-third
frac3
original distance does Trevor have left
working1
$\dfrac{1}{2} + \dfrac{1}{3}$
working2
$\dfrac{3}{6} + \dfrac{2}{6}$
frac4
$\dfrac{5}{6}$
correctAnswer
$\dfrac{1}{6}$

Answers

Is Correct?Answer
✓

16\dfrac{1}{6}

x

25\dfrac{2}{5}

x

35\dfrac{3}{5}

x

56\dfrac{5}{6}

Variant 2

DifficultyLevel

587

Question

Chris, Liam and Luke are walking in a 3 person charity relay.

Chris completes one-fifth of the total distance and Liam completes one-quarter.

What fraction of the total distance is left for Luke to walk?

Worked Solution
Fraction completed = 15+14\dfrac{1}{5} + \dfrac{1}{4}
= 420+520\dfrac{4}{20} + \dfrac{5}{20}
= 920\dfrac{9}{20}

Fraction left = 1 −- 920\dfrac{9}{20}
= 1120\dfrac{11}{20}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Chris
name2
Liam
name3
Luke
activity
walking in a 3 person charity relay
frac1
completes one-fifth of the total distance
frac2
Liam completes one-quarter
frac3
total distance is left for Luke to walk
working1
$\dfrac{1}{5} + \dfrac{1}{4}$
working2
$\dfrac{4}{20} + \dfrac{5}{20}$
frac4
$\dfrac{9}{20}$
correctAnswer
$\dfrac{11}{20}$

Answers

Is Correct?Answer
x

29\dfrac{2}{9}

x

920\dfrac{9}{20}

✓

1120\dfrac{11}{20}

x

79\dfrac{7}{9}

Variant 3

DifficultyLevel

583

Question

Andrea, Caroline and Sharon are laying planks for an outside deck.

Andrea lays two-fifths of the planks and Caroline lays one-quarter.

What fraction of the total planks are left for Sharon to lay?

Worked Solution
Fraction completed = 25+14\dfrac{2}{5} + \dfrac{1}{4}
= 820+520\dfrac{8}{20} + \dfrac{5}{20}
= 1320\dfrac{13}{20}

Fraction left = 1 −- 1320\dfrac{13}{20}
= 720\dfrac{7}{20}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Andrea
name2
Caroline
name3
Sharon
activity
laying planks for an outside deck
frac1
lays two-fifths of the planks
frac2
Caroline lays one-quarter
frac3
total planks are left for Sharon to lay
working1
$\dfrac{2}{5} + \dfrac{1}{4}$
working2
$\dfrac{8}{20} + \dfrac{5}{20}$
frac4
$\dfrac{13}{20}$
correctAnswer
$\dfrac{7}{20}$

Answers

Is Correct?Answer
x

39\dfrac{3}{9}

✓

720\dfrac{7}{20}

x

1320\dfrac{13}{20}

x

69\dfrac{6}{9}

Variant 4

DifficultyLevel

583

Question

Larry, Mo and Curley are laying bricks for a fence.

Larry lays one-third of the bricks and Mo lays one-quarter.

What fraction of the total bricks are left for Curley to lay?

Worked Solution
Fraction completed = 13+14\dfrac{1}{3} + \dfrac{1}{4}
= 412+312\dfrac{4}{12} + \dfrac{3}{12}
= 712\dfrac{7}{12}

Fraction left = 1 −- 712\dfrac{7}{12}
= 512\dfrac{5}{12}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Larry
name2
Mo
name3
Curley
activity
laying bricks for a fence
frac1
lays one-third of the bricks
frac2
Mo lays one-quarter
frac3
total bricks are left for Curley to lay
working1
$\dfrac{1}{3} + \dfrac{1}{4}$
working2
$\dfrac{4}{12} + \dfrac{3}{12}$
frac4
$\dfrac{7}{12}$
correctAnswer
$\dfrac{5}{12}$

Answers

Is Correct?Answer
x

27\dfrac{2}{7}

✓

512\dfrac{5}{12}

x

712\dfrac{7}{12}

x

57\dfrac{5}{7}