Number, NAPX-L4-CA19

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

610

Question

Marty is mining for gold in Papua New Guinea.

His mine aims to produce 13 kilograms of gold in the first 3 months of mining.

In the first month, the mine produces 2400 grams of gold.

In the second month, it produces 2900 grams of gold.

How much gold does the mine need to produce in the third month to reach Marty's target of 13 kilograms?

Give your answer in kilograms, to one decimal place.

Worked Solution

1 kilogram = 1000 grams
∴\therefore Gold needed in 3rd month = 13 000 −− 2400 −− 2900
= 7700 grams
= 7.7 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Marty is mining for gold in Papua New Guinea. His mine aims to produce 13 kilograms of gold in the first 3 months of mining. In the first month, the mine produces 2400 grams of gold. In the second month, it produces 2900 grams of gold. How much gold does the mine need to produce in the third month to reach Marty's target of 13 kilograms? Give your answer in kilograms, to one decimal place.
workedSolution
1 kilogram = 1000 grams
| | | | --------------------- | -------------- | |$\therefore$ Gold needed in 3rd month | = 13 000 $−$ 2400 $−$ 2900 | | | \= 7700 grams | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
7.7
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07.7

kilograms

Variant 1

DifficultyLevel

622

Question

Manny is making a vegetable soup for his vegan restaurant.

He wants to make 8 litres of soup in 3 batches.

In the first batch, the makes 2400 millilitres of soup.

In the second batch, he makes 3800 millilitres.

How much soup does Manny need to make in the 3rd batch to reach his target of 8 litres?

Give your answer in litres, to one decimal place.

Worked Solution

8 litres = 8000 millilitres
∴\therefore Soup needed in 3rd batch = 8000 −− 2400 −− 3800
= 1800 millilitres
= 1.8 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Manny is making a vegetable soup for his vegan restaurant. He wants to make 8 litres of soup in 3 batches. In the first batch, the makes 2400 millilitres of soup. In the second batch, he makes 3800 millilitres. How much soup does Manny need to make in the 3rd batch to reach his target of 8 litres? Give your answer in litres, to one decimal place.
workedSolution
8 litres = 8000 millilitres
| | | | --------------------- | -------------- | |$\therefore$ Soup needed in 3rd batch | = 8000 $−$ 2400 $−$ 3800 | | | \= 1800 millilitres | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
1.8
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer01.8

litres

Variant 2

DifficultyLevel

625

Question

Justine supplied a chocolate shop and needed to make 17 kilograms of Rocky Road for the shop over 3 days.

On the first day, she made 3500 grams of Rocky Road.

On the second day she made 5700 grams of Rock Road.

How much Rocky Road does she need to make on day 3 to reach her target of 17 kilograms?

Give your answer in kilograms, to one decimal place.

Worked Solution
∴\therefore Rocky Road needed = 17 000 −− 3500 −− 5700
= 7800 grams
= 7.8 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Justine supplied a chocolate shop and needed to make 17 kilograms of Rocky Road for the shop over 3 days. On the first day, she made 3500 grams of Rocky Road. On the second day she made 5700 grams of Rock Road. How much Rocky Road does she need to make on day 3 to reach her target of 17 kilograms? Give your answer in kilograms, to one decimal place.
workedSolution
| | | | --------------------- | -------------- | |$\therefore$ Rocky Road needed | = 17 000 $−$ 3500 $−$ 5700 | | | \= 7800 grams | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
7.8
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07.8

kilograms

Variant 3

DifficultyLevel

627

Question

Delvine is making an energy juice drink for her cafe.

She wants to make 12 litres of juice in one hour and a half.

In the first half hour, she makes 1200 millilitres of juice.

In the second half hour, she makes 3300 millilitres.

How much juice does Delvine need to make in the third half hour to reach her target of 12 litres?

Give your answer in litres, to one decimal place.

Worked Solution

12 litres = 12 000 millilitres
∴\therefore Juice needed = 12 000 −− 1200 −− 3300
= 7500 millilitres
= 7.5 litres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Delvine is making an energy juice drink for her cafe. She wants to make 12 litres of juice in one hour and a half. In the first half hour, she makes 1200 millilitres of juice. In the second half hour, she makes 3300 millilitres. How much juice does Delvine need to make in the third half hour to reach her target of 12 litres? Give your answer in litres, to one decimal place.
workedSolution
12 litres = 12 000 millilitres
| | | | --------------------- | -------------- | |$\therefore$ Juice needed | = 12 000 $−$ 1200 $−$ 3300 | | | \= 7500 millilitres | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
7.5
prefix0
suffix0
litres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer07.5

litres

Variant 4

DifficultyLevel

625

Question

Andrew peels the prawns in a commercial restaurant and needs to prepare 16 kilograms of peeled prawns in 1 hour.

In the first 20 minutes, he peels 4400 grams of prawns.

In the second 20 minutes, he peels 5900 grams of prawns.

What mass of prawns does Andrew need to peel in the third 20 minutes to reach his target of 16 kilograms?

Give your answer in kilograms, to one decimal place.

Worked Solution

1 kilogram = 1000 grams

∴\therefore Prawns needed = 16 000 −− 4400 −− 5900
= 5700 grams
= 5.7 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Andrew peels the prawns in a commercial restaurant and needs to prepare 16 kilograms of peeled prawns in 1 hour. In the first 20 minutes, he peels 4400 grams of prawns. In the second 20 minutes, he peels 5900 grams of prawns. What mass of prawns does Andrew need to peel in the third 20 minutes to reach his target of 16 kilograms? Give your answer in kilograms, to one decimal place.
workedSolution
1 kilogram = 1000 grams
| | | | --------------------- | -------------- | |$\therefore$ Prawns needed | = 16 000 $−$ 4400 $−$ 5900 | | | \= 5700 grams | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
5.7
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer05.7

kilograms

Variant 5

DifficultyLevel

623

Question

Bert captures cane toads and aims to capture 32 kilograms during a 3 hour operation.

In the first hour, his captured cane toads weigh 8700 grams.

In the second hour, he captures an extra 9400 grams of cane toads.

What mass of cane toads does Bert need to catch in the third hour in order to reach his target capture of 32 kilograms?

Give your answer in kilograms, to one decimal place.

Worked Solution

1 kilogram = 1000 grams
∴\therefore Cane toads needed = 32 000 −− 8700 −− 9400
= 13 900 grams
= 13.9 kilograms

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bert captures cane toads and aims to capture 32 kilograms during a 3 hour operation. In the first hour, his captured cane toads weigh 8700 grams. In the second hour, he captures an extra 9400 grams of cane toads. What mass of cane toads does Bert need to catch in the third hour in order to reach his target capture of 32 kilograms? Give your answer in kilograms, to one decimal place.
workedSolution
1 kilogram = 1000 grams
| | | | --------------------- | -------------- | |$\therefore$ Cane toads needed | = 32 000 $−$ 8700 $−$ 9400 | | | \= 13 900 grams | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
13.9
prefix0
suffix0
kilograms

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer013.9

kilograms

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