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21 multiple-choice questions and 14 flashcards on The Coordinate Plane (Four Quadrants), about 14% of the 6th Math: The Number System bank. Every one carries a written rationale.
The Coordinate Plane (Four Quadrants) is one of 6 chapters in CoStudy's 6th Math: The Number System bank, and it holds 21 of the bank's 150 multiple-choice questions — roughly 14% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
10 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
A square has vertices at (0, 0), (0, 3), (3, 3), and (3, 0). Its perimeter is:
Answer: D — 12
Side length = 3, perimeter = 4 × 3 = 12. (A) is area; (C), (B) miscalculate.
Distance between (2, −6) and (2, 4):
Answer: D — 10
D) Same x, distance = |4 − (−6)| = 10. A) Used x-coord. C) Distance can't be negative. B) Used one y-value.
On a city map, school is at (2, 4) and the library is at (2, −1). How many blocks apart are they (vertical only)?
Answer: B — 5
|4 − (−1)| = 5 blocks. (A), (C), (D) miscalculate.
What is the absolute value of 0?
Answer: A — 0
|0| = 0, distance from itself. (B), (C), (D) misread.
Point (−6, −2) is in which quadrant?
Answer: C — III
C) Both negative → lower left. A) +,+. B) −,+. D) +,−.
The origin on a coordinate plane is at:
Answer: A — (0, 0)
Origin = intersection of axes = (0, 0). (B), (C), (D) misread.
Reflection of (5, −2) across the x-axis is:
Answer: A — (5, 2)
A) Keep x, negate y. B) Reflection across y-axis. C) Reflection through origin. D) Swap.
Distance between (−4, 3) and (5, 3):
Answer: C — 9
B) Same y, distance = |5 − (−4)| = 9. A) Subtracted incorrectly. B) Forgot the sign. D) Distance is always positive.
Point (−3, 4) is in which quadrant?
Answer: C — II
B) Negative x, positive y. A) +,+. B) −,−. D) +,−.
Point (2, −5) is in which quadrant?
Answer: D — IV
D) Positive x, negative y. A) +,+. B) −,+. C) −,−.
4 cards from the 14 in this chapter.
Which quadrant has negative x but positive y?
Quadrant II (upper left).
In which quadrant is (−4, −1)?
Quadrant III.
How do you find distance between two points on a horizontal line?
Subtract the x-coordinates (or use absolute value of the difference).
What's the relationship between (3, 5) and (3, −5)?
They are reflections across the x-axis.
These are a sample. The full The Coordinate Plane (Four Quadrants) chapter runs 35 items with per-chapter progress tracking, on the web and in the iOS app.
Open 6th Math: The Number System in CoStudy →