20098
Question
{{shop}} has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| {{item1}} |
${{reg1}} |
${{sale1}} |
| {{item2}} |
${{reg2}} |
${{sale2}} |
| {{item3}} |
${{reg3}} |
${{sale3}} |
| {{item4}} |
${{reg4}} |
${{sale4}} |
Which item has been reduced by {{frac2}}?
Worked Solution
Consider the {{{correctAnswer}}}:
{{frac1}} × {{regular}} = ${{discount}}
|
|
| Sale price |
= {{regular}} − {{discount}} |
|
= ${{price}} |
∴ {{{correctAnswer}}} has been reduced by {{frac1}}.
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
Variant 0
DifficultyLevel
559
Question
The School Store has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| Backpack |
$140 |
$105 |
| Calculator |
$80 |
$60 |
| Notebook |
$200 |
$150 |
| Uniform |
$90 |
$60 |
Which item has been reduced by one-third?
Worked Solution
31 × 90 = $30
|
|
| Sale price |
= 90 − 30 |
|
= $60 |
∴ Uniform has been reduced by 31.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| shop | |
| item1 | |
| reg1 | |
| sale1 | |
| item2 | |
| reg2 | |
| sale2 | |
| item3 | |
| reg3 | |
| sale3 | |
| item4 | |
| reg4 | |
| sale4 | |
| frac1 | |
| regular | |
| discount | |
| price | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
559
Question
The Cricket Shed has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| Pads |
$80 |
$60 |
| Helmet |
$180 |
$120 |
| Bag |
$75 |
$55 |
| Bat |
$200 |
$150 |
Which item has been reduced by one-third?
Worked Solution
31 × 180 = $60
|
|
| Sale price |
= 180 − 60 |
|
= $120 |
∴ Helmet has been reduced by 31.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| shop | |
| item1 | |
| reg1 | |
| sale1 | |
| item2 | |
| reg2 | |
| sale2 | |
| item3 | |
| reg3 | |
| sale3 | |
| item4 | |
| reg4 | |
| sale4 | |
| frac1 | |
| regular | |
| discount | |
| price | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
559
Question
The School Store has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| Textbooks |
$150 |
$120 |
| Computer |
$200 |
$150 |
| Backpack |
$80 |
$55 |
| Uniform |
$100 |
$80 |
Which item has been reduced by one-quarter?
Worked Solution
41 × 200 = $50
|
|
| Sale price |
= 200 − 50 |
|
= $150 |
∴ Computer has been reduced by 41.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| shop | |
| item1 | |
| reg1 | |
| sale1 | |
| item2 | |
| reg2 | |
| sale2 | |
| item3 | |
| reg3 | |
| sale3 | |
| item4 | |
| reg4 | |
| sale4 | |
| frac1 | |
| regular | |
| discount | |
| price | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
559
Question
The Appliances Shed has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| Microwave |
$100 |
$80 |
| Blender |
$150 |
$120 |
| Toaster |
$160 |
$110 |
| Griller |
$120 |
$90 |
Which item has been reduced by one-quarter?
Worked Solution
41 × 120 = $30
|
|
| Sale price |
= 120 − 30 |
|
= $90 |
∴ Griller has been reduced by 41.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| shop | |
| item1 | |
| reg1 | |
| sale1 | |
| item2 | |
| reg2 | |
| sale2 | |
| item3 | |
| reg3 | |
| sale3 | |
| item4 | |
| reg4 | |
| sale4 | |
| frac1 | |
| regular | |
| discount | |
| price | |
| frac2 | |
| correctAnswer | |
Answers
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
Variant 4
DifficultyLevel
559
Question
The Cricket Shed has reduced the price of four items that are listed in the table below.
| Item |
Regular Price |
Sale Price |
| Thigh Guard |
$80 |
$60 |
| Helmet |
$120 |
$90 |
| Shoes |
$130 |
$85 |
| Pants |
$75 |
$50 |
Which item has been reduced by one-third?
Worked Solution
31 × 75 = $25
|
|
| Sale price |
= 75 − 25 |
|
= $50 |
∴ Pants has been reduced by 31.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| shop | |
| item1 | |
| reg1 | |
| sale1 | |
| item2 | |
| reg2 | |
| sale2 | |
| item3 | |
| reg3 | |
| sale3 | |
| item4 | |
| reg4 | |
| sale4 | |
| frac1 | |
| regular | |
| discount | |
| price | |
| frac2 | |
| correctAnswer | |
Answers