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