Distance between two points

Difficulty Starter · Set b2a2c1

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

What is in this set

The numbers in this set run from 1 to 16.
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 173 different ones, 72% — 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.