Distance between two points

Difficulty Standard · Set g9rh5z

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1
How far apart are (-2, -2) and (4, 6)?
2
How far apart are (-5, -5) and (3, 10)?
3
How far apart are (-4, 1) and (-1, 5)?
4
How far apart are (-2, -5) and (8, 19)?
5
How far apart are (0, -4) and (8, 11)?
6
How far apart are (-5, 4) and (1, 12)?
7
How far apart are (-3, -1) and (12, 19)?
8
How far apart are (2, -6) and (14, 10)?
9
How far apart are (1, -3) and (11, 21)?
10
How far apart are (-2, 4) and (8, 28)?
11
How far apart are (-3, 2) and (5, 17)?
12
How far apart are (2, 2) and (9, 26)?
13
How far apart are (-1, 2) and (6, 26)?
14
How far apart are (3, -6) and (8, 6)?
15
How far apart are (3, 1) and (6, 5)?
16
How far apart are (2, -6) and (7, 6)?
17
How far apart are (-1, -6) and (11, 10)?
18
How far apart are (-1, -3) and (7, 12)?
19
How far apart are (-2, -4) and (3, 8)?
20
How far apart are (0, -6) and (15, 14)?

What is in this set

The numbers in this set run from 1 to 28.
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 220 different ones, 92% — 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.