Number, RAPH14 Q37-39
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
Variant 0
DifficultyLevel
386
Question
The scale is balanced.
What is the weight of the square?
Worked Solution
Since the scale is balanced, both sides must weigh 37 grams.
|
|
Weight of square |
= 37 – 23 |
|
= 14 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/39.svg 350 indent vpad
What is the weight of the square? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh 37 grams.
| | |
| ------------- | ---------- |
| Weight of square | \= 37 $–$ 23 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 14 | |
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
Variant 1
DifficultyLevel
388
Question
The scale is balanced.
What is the weight of the square?
Worked Solution
Since the scale is balanced, both sides must weigh 45 kilograms.
|
|
Weight of square |
= 45 – 19 |
|
= 26 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_1a-min.svg 300 indent vpad
What is the weight of the square? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh 45 kilograms.
| | |
| ------------- | ---------- |
| Weight of square | \= 45 $–$ 19 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 26 | |
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
Variant 2
DifficultyLevel
390
Question
The scale is balanced.
What is the weight of the circle?
Worked Solution
Since the scale is balanced, both sides must weigh 105 grams.
|
|
Weight of circle |
= 105 – 71 |
|
= 34 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_2a-min.svg 300 indent vpad
What is the weight of the circle? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh 105 grams.
| | |
| ------------- | ---------- |
| Weight of circle | \= 105 $–$ 71 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 34 | |
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
Variant 3
DifficultyLevel
392
Question
The scale is balanced.
What is the weight of the rectangle on the left?
Worked Solution
Since the scale is balanced, both sides must weigh the same.
|
|
Weight of rectangle |
= 39 + 45 |
|
= 84 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_3-min.svg 300 indent vpad
What is the weight of the rectangle on the left? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh the same.
| | |
| ------------- | ---------- |
| Weight of rectangle | \= 39 $+$ 45 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 84 | |
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
Variant 4
DifficultyLevel
394
Question
The scale is balanced.
What is the weight of the rectangle on the left?
Worked Solution
Since the scale is balanced, both sides must weigh the same.
|
|
Weight of rectangle |
= 117 + 144 |
|
= 261 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_4-min.svg 300 indent vpad
What is the weight of the rectangle on the left? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh the same.
| | |
| ------------- | ---------- |
| Weight of rectangle | \= 117 + 144 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 261 | |
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
Variant 5
DifficultyLevel
396
Question
The scale is balanced.
What is the weight of the circle?
Worked Solution
Since the scale is balanced, both sides must weigh 195 grams.
|
|
Weight of circle |
= 195 – 106 |
|
= 89 |
Question Type
Answer Box
Variables
Variable name | Variable value |
question | The scale is balanced.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_5-min.svg 350 indent vpad
What is the weight of the circle? |
workedSolution | sm_nogap Since the scale is balanced, both sides must weigh 195 grams.
| | |
| ------------- | ---------- |
| Weight of circle | \= 195 $–$ 106 |
| | \= {{{correctAnswer0}}} |
|
correctAnswer0 | |
prefix0 | |
suffix0 | |
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
correctAnswerN | correctAnswerValue | Answer |
correctAnswer0 | 89 | |