IMO Practice Test — Coordinate Plane (1st Quadrant)
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
Point A is at (3,7). Point B is 4 units right and 2 units down from A. Find B.
(7,9)
(7,5)
(-1,5)
(7,9)
Explanation: Right+4: x=7, Down-2: y=5 → (7,5)
Question 2 of 6
hard
The library is at (2,5). The park is at (8,5). How many units between them?
4
5
6
7
Explanation:
Question 3 of 6
hard
Three corners of a rectangle: P(2,3), Q(6,3), R(2,7). Find the perimeter.
16 units
12 units
20 units
24 units
Explanation: Width=
Question 4 of 6
hard
A square has vertices at (1,1), (5,1), (5,5). Find fourth vertex.
(1,5)
(0,5)
(5,0)
(1,0)
Explanation: Square: x=1,y=5 gives (1,5)
Question 5 of 6
hard
Starting at (2,3). Move: Right 5, Up 4, Left 2, Down 3. Where do you end?
(5,4)
(7,7)
(5,7)
(7,4)
Explanation: Right5: x=7, Up4: y=7, Left2: x=5, Down3: y=4 → (5,4)
Question 6 of 6
hard
Points (4,7) and (4,2). A point exactly halfway between them?
(4,4.5)
(4,5)
(3,4.5)
(4,3)
Explanation: Midpoint y = (7+2)/2=4.5, x=4 → (4,4.5)