Number, NAPX-G3-NC27
Question
Which fraction is halfway between 31 and 73 on the number line?
Worked Solution
Halfway between 31 and 73
|
= 21×(31+73) |
= 21×(217+219) |
= 21×2116 |
= {{{correctAnswer}}} |
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
Variant 0
DifficultyLevel
710
Question
Which fraction is halfway between 31 and 73 on the number line?
Worked Solution
Halfway between 31 and 73
|
= 21×(31+73) |
= 21×(217+219) |
= 21×2116 |
= 218 |
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers