Measurement, NAPX-p116903v02
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Variant 0
DifficultyLevel
460
Question
Banjo compared the weight of four different solid figures by using a balancing scale.
Which of the four objects is the heaviest?
Worked Solution
By inspection:
Sphere → heavier than the cube.
Sphere → same weight as the cylinder.
Pentagonal prism → heavier than the cylinder.
∴ Pentagonal prism is the heaviest.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Banjo compared the weight of four different solid figures by using a balancing scale.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-1-300x239.png 180 indent vpad
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-2-300x252.png 180 indent vpad
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-3-300x261.png 180 indent vpad
Which of the four objects is the heaviest? |
| workedSolution | By inspection:
Sphere → heavier than the cube.
Sphere → same weight as the cylinder.
Pentagonal prism → heavier than the cylinder.
$\therefore$ Pentagonal prism is the heaviest. |
| correctAnswer | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-b-300x269.png 65 indent vpad |
Answers
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
Variant 1
DifficultyLevel
457
Question
Bjorn balances four objects on a set of scales, as pictured below.
Which object is the heaviest?
Worked Solution
Bowling ball → heavier than barrel and money bag
Money bag → heavier than gold
∴ Bowling ball must be the heaviest.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Bjorn balances four objects on a set of scales, as pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-v2.svg 600 indent vpad
Which object is the heaviest?
|
| workedSolution | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-ball.svg 60 indent vpad
Bowling ball → heavier than barrel and money bag
Money bag → heavier than gold
$\therefore$ Bowling ball must be the heaviest. |
| correctAnswer | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-ball.svg 70 indent vpad |
Answers
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
Variant 2
DifficultyLevel
459
Question
Angelina balances four objects on a set of scales, as pictured below.
Which object is the heaviest?
Worked Solution
Money bag → heavier than bowling ball and barrel
Gold → heavier than the money bag
∴ Gold must be the heaviest.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | Angelina balances four objects on a set of scales, as pictured below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-v1.svg 600 indent vpad
Which object is the heaviest? |
| workedSolution | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-gold_rev.svg 75 indent vpad
Money bag → heavier than bowling ball and barrel
Gold → heavier than the money bag
$\therefore$ Gold must be the heaviest. |
| correctAnswer | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-gold_rev.svg 80 indent vpad |
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