Distance between two points

Difficulty Stretch · Set paj6xf

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1
How far apart are (0, 1) and (8, 16)?
2
How far apart are (-1, -2) and (2, 2)?
3
How far apart are (-5, 4) and (3, 19)?
4
How far apart are (-5, -2) and (7, 14)?
5
How far apart are (-1, -6) and (8, 34)?
6
How far apart are (3, 1) and (13, 25)?
7
How far apart are (3, -4) and (13, 20)?
8
How far apart are (4, 0) and (12, 15)?
9
How far apart are (1, -4) and (16, 16)?
10
How far apart are (-5, -3) and (11, 27)?
11
How far apart are (4, -6) and (11, 18)?
12
How far apart are (-5, -2) and (10, 18)?
13
How far apart are (1, 1) and (11, 25)?
14
How far apart are (-2, -6) and (13, 14)?
15
How far apart are (-6, 1) and (1, 25)?
16
How far apart are (-2, -2) and (13, 18)?
17
How far apart are (-4, 1) and (3, 25)?
18
How far apart are (-1, 2) and (7, 17)?
19
How far apart are (0, -1) and (12, 15)?
20
How far apart are (-1, -4) and (5, 4)?

What is in this set

The numbers in this set run from 1 to 44.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the two gaps were added; the distance is the square root of the sum of their squares.
Answers are a whole number.

Drawing 240 problems from this page produced 232 different ones, 97% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.