Statistics, NAP_10031

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

408

Question

Three families flew from Melbourne to Queensland for a holiday.

Each person was allowed to carry 21 kilograms of luggage.



Which family took more than 21 kilograms of luggage per person?

Worked Solution

Checking each Option

Option 1: Wilmott allowed baggage = 21 ×\times 3 = 63 kg ✓\checkmark

Option 2: Bergen allowed baggage = 21 ×\times 2 = 42 kg ✓\checkmark

Option 3: Tran allowed baggage = 21 ×\times 5 = 105 kg (5 kg overweight)

Option 2: O'Brien allowed baggage = 21 ×\times 4 = 84 kg ✓\checkmark


Therefore, the Tran family took more than 21 kg of luggage per person.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Three families flew from Melbourne to Queensland for a holiday. Each person was allowed to carry 21 kilograms of luggage.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v0a-min.svg 330 indent2 vpad
Which family took more than 21 kilograms of luggage per person?
workedSolution
Checking each Option sm_nogap > Option 1: Wilmott allowed baggage = 21 $\times$ 3 = 63 kg $\checkmark$ >Option 2: Bergen allowed baggage = 21 $\times$ 2 = 42 kg $\checkmark$ >Option 3: Tran allowed baggage = 21 $\times$ 5 = 105 kg (5 kg overweight) >Option 2: O'Brien allowed baggage = 21 $\times$ 4 = 84 kg $\checkmark$
Therefore, the {{{correctAnswer}}} family took more than 21 kg of luggage per person.
correctAnswer
Tran

Answers

Is Correct?Answer
x

Wilmott

x

Bergen

✓

Tran

x

O'Brien

Variant 1

DifficultyLevel

405

Question

Four groups of friends caught the Indian Pacific train from Sydney to Perth for a holiday.

Each person was allowed to carry 25 kilograms of luggage.



Which group took more than 25 kilograms of luggage per person?

Worked Solution

Checking each Option

Option 1: Group 1 allowed baggage = 25 ×\times 5 = 125 kg ✓\checkmark

Option 2: Group 2 allowed baggage = 25×\times 2 = 50 kg ✓\checkmark

Option 3: Group 3 allowed baggage = 25 ×\times 3 = 75 kg ✓\checkmark

Option 2: Group 4 allowed baggage = 25 ×\times 4 = 100 kg (5 kg overweight)


Therefore, Group 4 took more than 25 kg of luggage per person.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Four groups of friends caught the Indian Pacific train from Sydney to Perth for a holiday. Each person was allowed to carry 25 kilograms of luggage.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v1a-min.svg 330 indent2 vpad
Which group took more than 25 kilograms of luggage per person?
workedSolution
Checking each Option sm_nogap > Option 1: Group 1 allowed baggage = 25 $\times$ 5 = 125 kg $\checkmark$ >Option 2: Group 2 allowed baggage = 25$\times$ 2 = 50 kg $\checkmark$ >Option 3: Group 3 allowed baggage = 25 $\times$ 3 = 75 kg $\checkmark$ >Option 2: Group 4 allowed baggage = 25 $\times$ 4 = 100 kg (5 kg overweight)
Therefore, {{{correctAnswer}}} took more than 25 kg of luggage per person.
correctAnswer
Group 4

Answers

Is Correct?Answer
x

Group 1

x

Group 2

x

Group 3

✓

Group 4

Variant 2

DifficultyLevel

403

Question

Four families were travelling by plane to England.

Each person was able to carry a maximum of 7 kilograms of hand luggage.



Which family took more than 7 kilograms of hand luggage per person?

Worked Solution

Checking each Option

Option 1: Miscevski family allowed hand luggage = 7 ×\times 5 = 35kg ✓\checkmark

Option 2: Smith family allowed hand luggage = 7 ×\times 8 = 56 kg ✓\checkmark

Option 3: Barnes family allowed hand luggage = 7 ×\times 3 = 21 kg (1 kg overweight)

Option 2: McWilliams family allowed hand luggage = 7 ×\times 6 = 42 kg ✓\checkmark


Therefore, the Barnes family took more than 7 kg of hand luggage per person.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Four families were travelling by plane to England. Each person was able to carry a maximum of 7 kilograms of hand luggage.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v2-min.svg 430 indent2 vpad
Which family took more than 7 kilograms of hand luggage per person?
workedSolution
Checking each Option sm_nogap > Option 1: Miscevski family allowed hand luggage = 7 $\times$ 5 = 35kg $\checkmark$ >Option 2: Smith family allowed hand luggage = 7 $\times$ 8 = 56 kg $\checkmark$ >Option 3: Barnes family allowed hand luggage = 7 $\times$ 3 = 21 kg (1 kg overweight) >Option 2: McWilliams family allowed hand luggage = 7 $\times$ 6 = 42 kg $\checkmark$
Therefore, the {{{correctAnswer}}} family took more than 7 kg of hand luggage per person.
correctAnswer
Barnes

Answers

Is Correct?Answer
x

Miscevski

x

Smith

✓

Barnes

x

McWilliams

Variant 3

DifficultyLevel

400

Question

A company uses 4 barges to transport goods in containers across a river.

Each container can carry a maximum of 600 kilograms.



Which barge had containers holding more than 600 kilograms per container?

Worked Solution

Checking each Option

Option 1: Barge 1 allowed container mass = 600 ×\times 3 = 1800 kg (100 kg overweight)

Option 2: Barge 2 allowed container mass = 600 ×\times 2 = 1200 kg ✓\checkmark

Option 3: Barge 3 allowed container mass = 600 ×\times 4 = 2400 kg ✓\checkmark

Option 2: Barge 4 allowed container mass = 600 ×\times 1 = 600 kg ✓\checkmark


Therefore, Barge 1 had containers holding more than 600 kg per container.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A company uses 4 barges to transport goods in containers across a river. Each container can carry a maximum of 600 kilograms.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v3a-min.svg 430 indent2 vpad
Which barge had containers holding more than 600 kilograms per container?
workedSolution
Checking each Option sm_nogap > Option 1: Barge 1 allowed container mass = 600 $\times$ 3 = 1800 kg (100 kg overweight) >Option 2: Barge 2 allowed container mass = 600 $\times$ 2 = 1200 kg $\checkmark$ >Option 3: Barge 3 allowed container mass = 600 $\times$ 4 = 2400 kg $\checkmark$ >Option 2: Barge 4 allowed container mass = 600 $\times$ 1 = 600 kg $\checkmark$
Therefore, {{{correctAnswer}}} had containers holding more than 600 kg per container.
correctAnswer
Barge 1

Answers

Is Correct?Answer
✓

Barge 1

x

Barge 2

x

Barge 3

x

Barge 4

Tags

  • staging_suejones