20131

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

609

Question

Alison's petrol tank was empty.

She then spent $55 filling her tank up to half way at a cost of $1.55 per litre.

Approximately how much petrol can Alison's petrol tank hold when it is full?

Worked Solution
Volume of half tank = 551.55\dfrac{55}{1.55}
= 35.48 …\dots

∴\therefore Volume of full tank
≈\approx 2 × 35.48\times \ 35.48
≈\approx 70.96
≈\approx 71 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Alison's petrol tank was empty. She then spent \$55 filling her tank up to half way at a cost of \$1.55 per litre. Approximately how much petrol can Alison's petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of half tank | = $\dfrac{55}{1.55}$ | | | = 35.48 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 2 $\times \ 35.48$ | | | $\approx$ 70.96 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
71 litres

Answers

Is Correct?Answer
x

35 litres

x

65 litres

✓

71 litres

x

85 litres

Variant 1

DifficultyLevel

638

Question

Ryan's petrol tank was empty.

He then spent $51 filling one third of his tank at a cost of $2.29 per litre.

Approximately how much petrol can Ryan's petrol tank hold when it is full?

Worked Solution
Volume of one-third tank = 512.29\dfrac{51}{2.29}
= 22.27 …\dots

∴\therefore Volume of full tank
≈\approx 3 × 22.3\times \ 22.3
≈\approx 66.9
≈\approx 67 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ryan's petrol tank was empty. He then spent \$51 filling one third of his tank at a cost of \$2.29 per litre. Approximately how much petrol can Ryan's petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of one-third tank | = $\dfrac{51}{2.29}$ | | | = 22.27 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 3 $\times \ 22.3$ | | | $\approx$ 66.9 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
67 litres

Answers

Is Correct?Answer
x

22 litres

x

33 litres

✓

67 litres

x

117 litres

Variant 2

DifficultyLevel

636

Question

Gerry owns a monster truck whose petrol tank was empty.

He then spent $87 filling one quarter of its tank at a cost of $2.09 per litre.

Approximately how much petrol can Gerry's monster truck petrol tank hold when it is full?

Worked Solution
Volume of quarter tank = 872.09\dfrac{87}{2.09}
= 41.626 …\dots

∴\therefore Volume of full tank
≈\approx 4 × 41.63\times \ 41.63
≈\approx 166.52
≈\approx 167 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Gerry owns a monster truck whose petrol tank was empty. He then spent \$87 filling one quarter of its tank at a cost of \$2.09 per litre. Approximately how much petrol can Gerry's monster truck petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of quarter tank | = $\dfrac{87}{2.09}$ | | | = 41.626 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 4 $\times \ 41.63$ | | | $\approx$ 166.52 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
167 litres

Answers

Is Correct?Answer
x

42 litres

x

83 litres

✓

167 litres

x

182 litres

Variant 3

DifficultyLevel

629

Question

Batbayar's petrol tank was empty.

He then spent $39 filling one fifth of his tank at a cost of $2.11 per litre.

Approximately how much petrol can Batbayar's petrol tank hold when it is full?

Worked Solution
Volume of one-fifth tank = 392.11\dfrac{39}{2.11}
= 18.483 …\dots

∴\therefore Volume of full tank
≈\approx 5 × 18.483\times \ 18.483
≈\approx 92.415
≈\approx 92 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Batbayar's petrol tank was empty. He then spent \$39 filling one fifth of his tank at a cost of \$2.11 per litre. Approximately how much petrol can Batbayar's petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of one-fifth tank | = $\dfrac{39}{2.11}$ | | | = 18.483 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 5 $\times \ 18.483$ | | | $\approx$ 92.415 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
92 litres

Answers

Is Correct?Answer
x

18 litres

x

74 litres

x

82 litres

✓

92 litres

Variant 4

DifficultyLevel

627

Question

Bataar's petrol tank was empty.

He then spent $27 filling one quarter of his tank at a cost of $1.88 per litre.

Approximately how much petrol can Bataar's petrol tank hold when it is full?

Worked Solution
Volume of one-quarter tank = 271.88\dfrac{27}{1.88}
= 14.361 …\dots

∴\therefore Volume of full tank
≈\approx 4 × 14.36\times \ 14.36
≈\approx 57.44
≈\approx 57 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bataar's petrol tank was empty. He then spent \$27 filling one quarter of his tank at a cost of \$1.88 per litre. Approximately how much petrol can Bataar's petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of one-quarter tank | = $\dfrac{27}{1.88}$ | | | = 14.361 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 4 $\times \ 14.36$ | | | $\approx$ 57.44 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
57 litres

Answers

Is Correct?Answer
x

14 litres

✓

57 litres

x

61 litres

x

62 litres

Variant 5

DifficultyLevel

620

Question

Amgalan's motor cycle petrol tank was empty.

She then spent $19 filling one half of her tank at a cost of $2.29 per litre.

Approximately how much petrol can Amgalan's petrol tank hold when it is full?

Worked Solution
Volume of a half tank = 192.29\dfrac{19}{2.29}
= 8.296 …\dots

∴\therefore Volume of full tank
≈\approx 2 × 8.3\times \ 8.3
≈\approx 16.6
≈\approx 17 litres

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Amgalan's motor cycle petrol tank was empty. She then spent \$19 filling one half of her tank at a cost of \$2.29 per litre. Approximately how much petrol can Amgalan's petrol tank hold when it is full?
workedSolution
| | | | ------------ | -------------------------------------------- | | Volume of a half tank | = $\dfrac{19}{2.29}$ | | | = 8.296 $\dots$ |

$\therefore$ Volume of full tank
> > | | | | ------------ | -------------------------------------------- | | | $\approx$ 2 $\times \ 8.3$ | | | $\approx$ 16.6 | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
17 litres

Answers

Is Correct?Answer
x

8 litres

✓

17 litres

x

29 litres

x

44 litres

Tags

  • ms_ca