Geometry, NAPX-p167252v01

Question

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Worked Solution

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Variant 0

DifficultyLevel

560

Question

A one metre tall person casts a 4 metre shadow on level ground.

If a 1.8 metre tall person stands at the same position, how long will the shadow be?

Worked Solution

1 metre height → 4 metre shadow
∴\therefore 1.8 m height shadow = 1.8 × 4
= 7.2 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A one metre tall person casts a 4 metre shadow on level ground. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad If a 1.8 metre tall person stands at the same position, how long will the shadow be?
workedSolution
1 metre height → 4 metre shadow
||| |-|-| |$\therefore$ 1.8 m height shadow|= 1.8 × 4| ||= {{{correctAnswer}}}|
correctAnswer
7.2 m

Answers

Is Correct?Answer
x

6.8 m

✓

7.2 m

x

8.0 m

x

8.6 m

Variant 1

DifficultyLevel

562

Question

A one metre tall person casts a 2 metre shadow on level ground.

If a 1.4 metre tall person stands at the same position, how long will the shadow be?

Worked Solution

1 metre height → 2 metre shadow
∴\therefore 1.4 m height shadow = 1.4 × 2
= 2.8 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A one metre tall person casts a 2 metre shadow on level ground. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad If a 1.4 metre tall person stands at the same position, how long will the shadow be?
workedSolution
1 metre height → 2 metre shadow
||| |-|-| |$\therefore$ 1.4 m height shadow|= 1.4 × 2| ||= {{{correctAnswer}}}|
correctAnswer
2.8 m

Answers

Is Correct?Answer
x

2.4 m

x

2.7 m

✓

2.8 m

x

3.2 m

Variant 2

DifficultyLevel

564

Question

A one metre tall person casts a 4 metre shadow on level ground.

If a 0.8 metre tall person stands at the same position, how long will the shadow be?

Worked Solution

1 metre height → 4 metre shadow
∴\therefore 0.8 m height shadow = 0.8 × 4
= 3.2 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A one metre tall person casts a 4 metre shadow on level ground. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad If a 0.8 metre tall person stands at the same position, how long will the shadow be?
workedSolution
1 metre height → 4 metre shadow
||| |-|-| |$\therefore$ 0.8 m height shadow|= 0.8 × 4| ||= {{{correctAnswer}}}|
correctAnswer
3.2 m

Answers

Is Correct?Answer
✓

3.2 m

x

3.6 m

x

3.8 m

x

4.2 m

Variant 3

DifficultyLevel

566

Question

A one metre tall person casts a 5 metre shadow on level ground.

If a 2.1 metre tall person stands at the same position, how long will the shadow be?

Worked Solution

1 metre height → 5 metre shadow
∴\therefore 2.1 m height shadow = 2.1 × 5
= 10.5 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A one metre tall person casts a 5 metre shadow on level ground. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad If a 2.1 metre tall person stands at the same position, how long will the shadow be?
workedSolution
1 metre height → 5 metre shadow
||| |-|-| |$\therefore$ 2.1 m height shadow|= 2.1 × 5| ||= {{{correctAnswer}}}|
correctAnswer
10.5 m

Answers

Is Correct?Answer
x

6.5 m

x

7.1 m

x

9.5 m

✓

10.5 m

Variant 4

DifficultyLevel

568

Question

A one metre tall adult casts a 3 metre shadow on level ground.

If a 0.6 metre tall child stands at the same position, how long will the shadow be?

Worked Solution

1 metre height → 3 metre shadow
∴\therefore 0.6 m height shadow = 0.6 × 3
= 1.8 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A one metre tall adult casts a 3 metre shadow on level ground. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad If a 0.6 metre tall child stands at the same position, how long will the shadow be?
workedSolution
1 metre height → 3 metre shadow
||| |-|-| |$\therefore$ 0.6 m height shadow|= 0.6 × 3| ||= {{{correctAnswer}}}|
correctAnswer
1.8 m

Answers

Is Correct?Answer
x

1.2 m

x

1.5 m

✓

1.8 m

x

2.4 m

Tags